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"language_code": "zh-CN" + }, + "sketchnotes/README.md": { + "original_hash": "a88d5918c1b9da69a40d917a0840c497", + "translation_date": "2025-09-03T18:16:47+00:00", + "source_file": "sketchnotes/README.md", + "language_code": "zh-CN" + } +} \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/1-intro-to-ML/README.md b/translations/zh-CN/1-Introduction/1-intro-to-ML/README.md new file mode 100644 index 000000000..6c89ff76f --- /dev/null +++ b/translations/zh-CN/1-Introduction/1-intro-to-ML/README.md @@ -0,0 +1,150 @@ +# 机器学习简介 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +--- + +[![初学者的机器学习 - 机器学习入门](https://img.youtube.com/vi/6mSx_KJxcHI/0.jpg)](https://youtu.be/6mSx_KJxcHI "初学者的机器学习 - 机器学习入门") + +> 🎥 点击上方图片观看本课相关的短视频。 + +欢迎来到这门面向初学者的经典机器学习课程！无论你是完全新手，还是一位希望复习某些领域的经验丰富的机器学习从业者，我们都很高兴你能加入我们！我们希望为你的机器学习学习提供一个友好的起点，并欢迎你提供[反馈](https://github.com/microsoft/ML-For-Beginners/discussions)，我们会评估、回应并融入你的建议。 + +[![机器学习简介](https://img.youtube.com/vi/h0e2HAPTGF4/0.jpg)](https://youtu.be/h0e2HAPTGF4 "机器学习简介") + +> 🎥 点击上方图片观看视频：麻省理工学院的 John Guttag 介绍机器学习 + +--- +## 开始学习机器学习 + +在开始学习本课程之前，你需要确保你的电脑已经设置好并可以本地运行笔记本。 + +- **通过以下视频配置你的电脑**。使用以下链接学习[如何安装 Python](https://youtu.be/CXZYvNRIAKM)以及[设置文本编辑器](https://youtu.be/EU8eayHWoZg)进行开发。 +- **学习 Python**。建议你对[Python](https://docs.microsoft.com/learn/paths/python-language/?WT.mc_id=academic-77952-leestott)有基本的了解，这是一种对数据科学家非常有用的编程语言，我们将在课程中使用它。 +- **学习 Node.js 和 JavaScript**。我们在课程中会使用 JavaScript 构建一些网页应用，因此你需要安装 [node](https://nodejs.org) 和 [npm](https://www.npmjs.com/)，以及为 Python 和 JavaScript 开发准备好 [Visual Studio Code](https://code.visualstudio.com/)。 +- **创建 GitHub 账户**。既然你在 [GitHub](https://github.com) 找到了我们，你可能已经有一个账户了，但如果没有，请创建一个账户，然后 fork 本课程以供自己使用。（也可以给我们点个星星 😊） +- **探索 Scikit-learn**。熟悉 [Scikit-learn](https://scikit-learn.org/stable/user_guide.html)，这是我们在课程中参考的一组机器学习库。 + +--- +## 什么是机器学习？ + +“机器学习”是当今最流行和最常用的术语之一。如果你对技术有一定的了解，无论你从事哪个领域，都有很大可能至少听过一次这个术语。然而，机器学习的运作机制对大多数人来说仍然是一个谜。对于机器学习初学者来说，这个主题有时可能会让人感到不知所措。因此，了解机器学习的真正含义，并通过实际例子一步步学习它是非常重要的。 + +--- +## 热度曲线 + +![机器学习热度曲线](../../../../1-Introduction/1-intro-to-ML/images/hype.png) + +> Google Trends 显示了“机器学习”这一术语的近期热度曲线 + +--- +## 神秘的宇宙 + +我们生活在一个充满迷人奥秘的宇宙中。像斯蒂芬·霍金、阿尔伯特·爱因斯坦等伟大的科学家们，毕生致力于寻找有意义的信息，以揭示我们周围世界的奥秘。这是人类学习的本质：一个孩子通过逐年成长，学习新事物并揭示其世界的结构。 + +--- +## 孩子的大脑 + +孩子的大脑和感官感知周围环境的事实，并逐渐学习生活中隐藏的模式，这些模式帮助孩子制定逻辑规则以识别已学到的模式。人类大脑的学习过程使人类成为这个世界上最复杂的生物。通过发现隐藏模式并不断创新，我们能够在一生中不断提升自己。这种学习能力和进化能力与一个叫做[脑可塑性](https://www.simplypsychology.org/brain-plasticity.html)的概念有关。从表面上看，我们可以将人类大脑的学习过程与机器学习的概念进行一些激励性的类比。 + +--- +## 人类大脑 + +[人类大脑](https://www.livescience.com/29365-human-brain.html)从现实世界中感知事物，处理感知到的信息，做出理性决策，并根据情况采取某些行动。这就是我们所说的智能行为。当我们将智能行为过程的模拟编程到机器中时，这就被称为人工智能（AI）。 + +--- +## 一些术语 + +尽管这些术语可能会混淆，但机器学习（ML）是人工智能的重要子集。**机器学习关注的是使用专门的算法从感知到的数据中发现有意义的信息和隐藏模式，以支持理性决策过程**。 + +--- +## AI、ML、深度学习 + +![AI、ML、深度学习、数据科学](../../../../1-Introduction/1-intro-to-ML/images/ai-ml-ds.png) + +> 一张展示 AI、ML、深度学习和数据科学之间关系的图表。信息图由 [Jen Looper](https://twitter.com/jenlooper) 制作，灵感来源于[这张图](https://softwareengineering.stackexchange.com/questions/366996/distinction-between-ai-ml-neural-networks-deep-learning-and-data-mining) + +--- +## 涵盖的概念 + +在本课程中，我们将仅涵盖机器学习的核心概念，这些是初学者必须了解的内容。我们主要使用 Scikit-learn，这是一款许多学生用来学习基础知识的优秀库，来讲解我们称之为“经典机器学习”的内容。要理解人工智能或深度学习的更广泛概念，扎实的机器学习基础知识是不可或缺的，因此我们希望在这里提供这些知识。 + +--- +## 在本课程中你将学习： + +- 机器学习的核心概念 +- 机器学习的历史 +- 机器学习与公平性 +- 回归机器学习技术 +- 分类机器学习技术 +- 聚类机器学习技术 +- 自然语言处理机器学习技术 +- 时间序列预测机器学习技术 +- 强化学习 +- 机器学习的实际应用 + +--- +## 我们不会涵盖的内容 + +- 深度学习 +- 神经网络 +- 人工智能 + +为了提供更好的学习体验，我们将避免涉及神经网络的复杂性、“深度学习”（使用神经网络构建多层模型）以及人工智能，这些内容将在另一门课程中讨论。我们还将提供即将推出的数据科学课程，以专注于这一更广泛领域的相关内容。 + +--- +## 为什么学习机器学习？ + +从系统的角度来看，机器学习被定义为创建能够从数据中学习隐藏模式以帮助做出智能决策的自动化系统。 + +这种动机在一定程度上受到人类大脑如何根据外界感知的数据学习某些事物的启发。 + +✅ 思考一下，为什么企业会选择使用机器学习策略，而不是创建一个基于硬编码规则的引擎？ + +--- +## 机器学习的应用 + +机器学习的应用几乎无处不在，就像我们社会中流动的数据一样，这些数据由智能手机、连接设备和其他系统生成。考虑到最先进的机器学习算法的巨大潜力，研究人员一直在探索其解决多维度和多学科现实问题的能力，并取得了非常积极的成果。 + +--- +## 应用机器学习的例子 + +**机器学习有许多用途**： + +- 根据患者的病史或报告预测疾病的可能性。 +- 利用天气数据预测天气事件。 +- 理解文本的情感。 +- 检测虚假新闻以阻止宣传的传播。 + +金融、经济、地球科学、太空探索、生物医学工程、认知科学，甚至人文学科都已经适应了机器学习，以解决其领域中繁重的数据处理问题。 + +--- +## 结论 + +机器学习通过从现实世界或生成的数据中发现有意义的洞察来自动化模式发现的过程。它已在商业、健康和金融等领域证明了其高度价值。 + +在不久的将来，由于机器学习的广泛应用，了解机器学习的基础知识将成为任何领域人士的必备技能。 + +--- +# 🚀 挑战 + +用纸或在线应用（如 [Excalidraw](https://excalidraw.com/)）绘制你对 AI、ML、深度学习和数据科学之间差异的理解。添加一些关于每种技术擅长解决的问题的想法。 + +# [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +--- +# 复习与自学 + +要了解如何在云端使用机器学习算法，请参考此[学习路径](https://docs.microsoft.com/learn/paths/create-no-code-predictive-models-azure-machine-learning/?WT.mc_id=academic-77952-leestott)。 + +学习机器学习基础知识，请参考此[学习路径](https://docs.microsoft.com/learn/modules/introduction-to-machine-learning/?WT.mc_id=academic-77952-leestott)。 + +--- +# 作业 + +[开始学习](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/1-intro-to-ML/assignment.md b/translations/zh-CN/1-Introduction/1-intro-to-ML/assignment.md new file mode 100644 index 000000000..f3c95cb63 --- /dev/null +++ b/translations/zh-CN/1-Introduction/1-intro-to-ML/assignment.md @@ -0,0 +1,14 @@ +# 快速开始 + +## 说明 + +在这个非评分的任务中，你需要复习 Python 并设置好你的环境，以便能够运行笔记本。 + +请学习这个 [Python 学习路径](https://docs.microsoft.com/learn/paths/python-language/?WT.mc_id=academic-77952-leestott)，然后通过以下入门视频设置你的系统： + +https://www.youtube.com/playlist?list=PLlrxD0HtieHhS8VzuMCfQD4uJ9yne1mE6 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/2-history-of-ML/README.md b/translations/zh-CN/1-Introduction/2-history-of-ML/README.md new file mode 100644 index 000000000..566741eb0 --- /dev/null +++ b/translations/zh-CN/1-Introduction/2-history-of-ML/README.md @@ -0,0 +1,155 @@ +# 机器学习的历史 + +![机器学习历史的概述草图](../../../../sketchnotes/ml-history.png) +> 草图由 [Tomomi Imura](https://www.twitter.com/girlie_mac) 绘制 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +--- + +[![机器学习初学者 - 机器学习的历史](https://img.youtube.com/vi/N6wxM4wZ7V0/0.jpg)](https://youtu.be/N6wxM4wZ7V0 "机器学习初学者 - 机器学习的历史") + +> 🎥 点击上方图片观看本课的简短视频。 + +在本课中，我们将回顾机器学习和人工智能历史上的重要里程碑。 + +人工智能（AI）作为一个领域的历史与机器学习的历史密不可分，因为支撑机器学习的算法和计算进步也推动了人工智能的发展。需要注意的是，尽管这些领域作为独立的研究方向在20世纪50年代开始成型，但重要的[算法、统计、数学、计算和技术发现](https://wikipedia.org/wiki/Timeline_of_machine_learning)早在这一时期之前就已经出现并有所交集。事实上，人们已经思考这些问题[数百年](https://wikipedia.org/wiki/History_of_artificial_intelligence)：这篇文章探讨了“会思考的机器”这一理念的历史性思想基础。 + +--- +## 重要发现 + +- 1763年, 1812年 [贝叶斯定理](https://wikipedia.org/wiki/Bayes%27_theorem)及其前身。这一定理及其应用奠定了推断的基础，描述了基于先验知识事件发生的概率。 +- 1805年 [最小二乘法](https://wikipedia.org/wiki/Least_squares)，由法国数学家Adrien-Marie Legendre提出。这一理论（你将在回归单元中学习）有助于数据拟合。 +- 1913年 [马尔可夫链](https://wikipedia.org/wiki/Markov_chain)，以俄罗斯数学家Andrey Markov命名，用于描述基于前一状态的一系列可能事件。 +- 1957年 [感知机](https://wikipedia.org/wiki/Perceptron)，一种由美国心理学家Frank Rosenblatt发明的线性分类器，是深度学习进步的基础。 + +--- + +- 1967年 [最近邻算法](https://wikipedia.org/wiki/Nearest_neighbor)，最初设计用于路径规划。在机器学习中，它被用来检测模式。 +- 1970年 [反向传播算法](https://wikipedia.org/wiki/Backpropagation)，用于训练[前馈神经网络](https://wikipedia.org/wiki/Feedforward_neural_network)。 +- 1982年 [循环神经网络](https://wikipedia.org/wiki/Recurrent_neural_network)，从前馈神经网络衍生而来，用于创建时间序列图。 + +✅ 做一些研究。还有哪些年份在机器学习和人工智能的历史上具有重要意义？ + +--- +## 1950年：会思考的机器 + +艾伦·图灵（Alan Turing）是一位真正杰出的人物，他在[2019年被公众评选](https://wikipedia.org/wiki/Icons:_The_Greatest_Person_of_the_20th_Century)为20世纪最伟大的科学家。他被认为奠定了“会思考的机器”这一概念的基础。他通过创建[图灵测试](https://www.bbc.com/news/technology-18475646)来应对质疑者以及自己对这一概念的实证需求，你将在自然语言处理课程中进一步探索这一测试。 + +--- +## 1956年：达特茅斯夏季研究项目 + +“达特茅斯夏季人工智能研究项目是人工智能领域的一个开创性事件”，在这里，“人工智能”这一术语首次被提出（[来源](https://250.dartmouth.edu/highlights/artificial-intelligence-ai-coined-dartmouth)）。 + +> 学习的每一个方面或智能的任何其他特征原则上都可以被如此精确地描述，以至于可以制造出模拟它的机器。 + +--- + +该项目的首席研究员、数学教授John McCarthy希望“基于这样的假设：学习的每一个方面或智能的任何其他特征原则上都可以被如此精确地描述，以至于可以制造出模拟它的机器。”参与者中还包括该领域的另一位杰出人物Marvin Minsky。 + +该研讨会被认为启动并推动了多项讨论，包括“符号方法的兴起、专注于有限领域的系统（早期专家系统）以及演绎系统与归纳系统的对比”（[来源](https://wikipedia.org/wiki/Dartmouth_workshop)）。 + +--- +## 1956 - 1974年：“黄金时代” + +从20世纪50年代到70年代中期，人们对人工智能能够解决许多问题充满乐观。1967年，Marvin Minsky自信地表示：“在一代人的时间内……创造‘人工智能’的问题将基本解决。”（Minsky, Marvin (1967), Computation: Finite and Infinite Machines, Englewood Cliffs, N.J.: Prentice-Hall） + +自然语言处理研究蓬勃发展，搜索技术得到了改进并变得更强大，“微观世界”的概念被提出，在这种环境下，简单任务可以通过简单的语言指令完成。 + +--- + +政府机构为研究提供了充足的资金，计算和算法取得了进展，智能机器的原型被制造出来。这些机器包括： + +* [Shakey机器人](https://wikipedia.org/wiki/Shakey_the_robot)，它能够“智能地”移动并决定如何执行任务。 + + ![Shakey，一个智能机器人](../../../../1-Introduction/2-history-of-ML/images/shakey.jpg) + > 1972年的Shakey + +--- + +* Eliza，一个早期的“聊天机器人”，能够与人对话并充当一个原始的“治疗师”。你将在自然语言处理课程中进一步了解Eliza。 + + ![Eliza，一个机器人](../../../../1-Introduction/2-history-of-ML/images/eliza.png) + > Eliza的一个版本，一个聊天机器人 + +--- + +* “积木世界”是一个微观世界的例子，在这里积木可以被堆叠和排序，机器学习决策的实验可以在此进行。使用诸如[SHRDLU](https://wikipedia.org/wiki/SHRDLU)之类的库的进步推动了语言处理的发展。 + + [![SHRDLU的积木世界](https://img.youtube.com/vi/QAJz4YKUwqw/0.jpg)](https://www.youtube.com/watch?v=QAJz4YKUwqw "SHRDLU的积木世界") + + > 🎥 点击上方图片观看视频：SHRDLU的积木世界 + +--- +## 1974 - 1980年：“人工智能寒冬” + +到70年代中期，制造“智能机器”的复杂性被低估的事实变得显而易见，而其承诺在当时的计算能力下被过度夸大。资金枯竭，领域信心减弱。影响信心的一些问题包括： +--- +- **局限性**。计算能力过于有限。 +- **组合爆炸**。随着对计算机要求的增加，需要训练的参数数量呈指数增长，而计算能力和性能却没有相应提升。 +- **数据匮乏**。数据的匮乏阻碍了算法的测试、开发和优化过程。 +- **我们是否在问正确的问题？**。研究者开始质疑他们提出的问题： + - 图灵测试因“中文房间理论”等观点受到质疑，该理论认为，“编程数字计算机可能使其看似理解语言，但无法产生真正的理解。”（[来源](https://plato.stanford.edu/entries/chinese-room/)） + - 将人工智能（如“治疗师”ELIZA）引入社会的伦理问题受到挑战。 + +--- + +与此同时，各种人工智能学派开始形成。“[粗放派](https://wikipedia.org/wiki/Neats_and_scruffies)”与“精确派”实践之间的二分法逐渐确立。_粗放派_实验室通过不断调整程序以获得所需结果，而_精确派_实验室则“专注于逻辑和形式化问题解决”。ELIZA和SHRDLU是著名的_粗放派_系统。到了80年代，随着对机器学习系统可重复性的需求增加，_精确派_方法逐渐占据主导地位，因为其结果更具可解释性。 + +--- +## 1980年代 专家系统 + +随着领域的发展，其对商业的益处变得更加明显，1980年代“专家系统”的普及也随之而来。“专家系统是最早真正成功的人工智能（AI）软件形式之一。”（[来源](https://wikipedia.org/wiki/Expert_system)） + +这种系统实际上是_混合型_的，部分由定义业务需求的规则引擎组成，部分由利用规则系统推导新事实的推理引擎组成。 + +这一时期还出现了对神经网络的日益关注。 + +--- +## 1987 - 1993年：人工智能“冷却期” + +专用专家系统硬件的普及不幸导致其过于专用化。个人计算机的兴起也与这些大型、专用、集中化的系统形成了竞争。计算的民主化开始了，并最终为现代大数据的爆发铺平了道路。 + +--- +## 1993 - 2011年 + +这一时期见证了机器学习和人工智能能够解决早期因数据和计算能力不足而导致的问题。数据量开始迅速增加并变得更易获取，无论是好是坏，尤其是在2007年左右智能手机的出现之后。计算能力呈指数级增长，算法也随之演进。随着过去自由发展的日子逐渐凝聚成一个真正的学科，这一领域开始走向成熟。 + +--- +## 现在 + +如今，机器学习和人工智能几乎触及我们生活的每一个部分。这一时代需要我们仔细理解这些算法对人类生活的风险和潜在影响。正如微软的Brad Smith所说：“信息技术提出了一些问题，这些问题触及了隐私和言论自由等基本人权保护的核心。这些问题加重了创造这些产品的科技公司的责任。在我们看来，这也需要深思熟虑的政府监管以及围绕可接受用途的规范发展。”（[来源](https://www.technologyreview.com/2019/12/18/102365/the-future-of-ais-impact-on-society/)） + +--- + +未来会如何发展仍未可知，但理解这些计算机系统及其运行的软件和算法是非常重要的。我们希望这门课程能帮助你更好地理解这些内容，从而让你自己做出判断。 + +[![深度学习的历史](https://img.youtube.com/vi/mTtDfKgLm54/0.jpg)](https://www.youtube.com/watch?v=mTtDfKgLm54 "深度学习的历史") +> 🎥 点击上方图片观看视频：Yann LeCun在这次讲座中讨论了深度学习的历史 + +--- +## 🚀挑战 + +深入研究这些历史时刻中的一个，了解背后的人物。这些人物非常有趣，没有任何科学发现是在文化真空中产生的。你发现了什么？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +--- +## 复习与自学 + +以下是一些可以观看和收听的内容： + +[这期Amy Boyd讨论人工智能演变的播客](http://runasradio.com/Shows/Show/739) + +[![Amy Boyd讲述人工智能的历史](https://img.youtube.com/vi/EJt3_bFYKss/0.jpg)](https://www.youtube.com/watch?v=EJt3_bFYKss "Amy Boyd讲述人工智能的历史") + +--- + +## 作业 + +[创建一个时间线](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/2-history-of-ML/assignment.md b/translations/zh-CN/1-Introduction/2-history-of-ML/assignment.md new file mode 100644 index 000000000..86b208eca --- /dev/null +++ b/translations/zh-CN/1-Introduction/2-history-of-ML/assignment.md @@ -0,0 +1,16 @@ +# 创建时间轴 + +## 说明 + +使用[这个仓库](https://github.com/Digital-Humanities-Toolkit/timeline-builder)，创建一个关于算法、数学、统计学、人工智能或机器学习历史某一方面的时间轴，或者结合这些主题。你可以专注于一个人、一个想法，或者一个长时间跨度的思想发展。确保添加多媒体元素。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ------------------------------------------------- | --------------------------------------- | ---------------------------------------------------------------- | +| | 时间轴已部署为一个GitHub页面 | 代码不完整且未部署 | 时间轴不完整，研究不充分且未部署 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/3-fairness/README.md b/translations/zh-CN/1-Introduction/3-fairness/README.md new file mode 100644 index 000000000..d1c37b637 --- /dev/null +++ b/translations/zh-CN/1-Introduction/3-fairness/README.md @@ -0,0 +1,161 @@ +# 构建负责任的人工智能的机器学习解决方案 + +![机器学习中负责任人工智能的概要图](../../../../sketchnotes/ml-fairness.png) +> 由 [Tomomi Imura](https://www.twitter.com/girlie_mac) 绘制的概要图 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 简介 + +在本课程中，您将开始了解机器学习如何以及正在影响我们的日常生活。即使是现在，系统和模型已经参与了日常决策任务，例如医疗诊断、贷款审批或欺诈检测。因此，确保这些模型能够提供值得信赖的结果非常重要。与任何软件应用程序一样，人工智能系统可能会未达到预期或产生不理想的结果。这就是为什么理解和解释人工智能模型的行为至关重要。 + +想象一下，当您用于构建这些模型的数据缺乏某些人口统计信息（例如种族、性别、政治观点、宗教）或过度代表某些人口统计信息时会发生什么？如果模型的输出被解释为偏向某些人口统计信息，又会有什么后果？此外，当模型产生不良结果并对人们造成伤害时会发生什么？谁应该对人工智能系统的行为负责？这些是我们将在本课程中探讨的一些问题。 + +在本课中，您将： + +- 提高对机器学习公平性及相关危害重要性的认识。 +- 熟悉探索异常值和特殊场景以确保可靠性和安全性的实践。 +- 了解设计包容性系统以赋能所有人的必要性。 +- 探讨保护数据和个人隐私与安全的重要性。 +- 认识到采用透明化方法解释人工智能模型行为的重要性。 +- 意识到责任感对于建立人工智能系统信任的重要性。 + +## 前提条件 + +作为前提条件，请完成“负责任人工智能原则”学习路径并观看以下视频： + +通过以下 [学习路径](https://docs.microsoft.com/learn/modules/responsible-ai-principles/?WT.mc_id=academic-77952-leestott) 了解更多关于负责任人工智能的信息。 + +[![微软的负责任人工智能方法](https://img.youtube.com/vi/dnC8-uUZXSc/0.jpg)](https://youtu.be/dnC8-uUZXSc "微软的负责任人工智能方法") + +> 🎥 点击上方图片观看视频：微软的负责任人工智能方法 + +## 公平性 + +人工智能系统应公平对待每个人，避免对类似群体产生不同影响。例如，当人工智能系统提供医疗建议、贷款申请或就业指导时，它们应对具有类似症状、财务状况或专业资格的人做出相同的推荐。我们每个人作为人类，都携带着影响我们决策和行为的固有偏见。这些偏见可能会体现在我们用于训练人工智能系统的数据中。这种操控有时可能是无意的。通常很难有意识地知道何时在数据中引入了偏见。 + +**“不公平”** 包括对某些群体（例如按种族、性别、年龄或残疾状态定义的群体）造成的负面影响或“危害”。主要与公平性相关的危害可以分类为： + +- **分配**：例如，如果某个性别或种族被优待于另一个。 +- **服务质量**：如果您仅为一个特定场景训练数据，而现实情况更复杂，这会导致服务表现不佳。例如，一个无法识别深色皮肤的洗手液分配器。[参考](https://gizmodo.com/why-cant-this-soap-dispenser-identify-dark-skin-1797931773) +- **贬低**：不公平地批评或标记某事或某人。例如，一个图像标记技术曾错误地将深色皮肤人群的照片标记为猩猩。 +- **过度或不足代表**：某些群体在某些职业中未被看到，而任何继续推广这种现象的服务或功能都在助长危害。 +- **刻板印象**：将某个群体与预先分配的属性联系起来。例如，英语和土耳其语之间的语言翻译系统可能因与性别相关的刻板印象而出现不准确。 + +![翻译成土耳其语](../../../../1-Introduction/3-fairness/images/gender-bias-translate-en-tr.png) +> 翻译成土耳其语 + +![翻译回英语](../../../../1-Introduction/3-fairness/images/gender-bias-translate-tr-en.png) +> 翻译回英语 + +在设计和测试人工智能系统时，我们需要确保人工智能是公平的，并且不会被编程为做出偏见或歧视性的决策，这些决策也是人类被禁止做出的。确保人工智能和机器学习的公平性仍然是一个复杂的社会技术挑战。 + +### 可靠性与安全性 + +为了建立信任，人工智能系统需要在正常和意外情况下保持可靠、安全和一致。了解人工智能系统在各种情况下的行为尤其重要，特别是当它们处于异常值时。在构建人工智能解决方案时，需要重点关注如何处理人工智能解决方案可能遇到的各种情况。例如，一辆自动驾驶汽车需要将人的安全作为首要任务。因此，驱动汽车的人工智能需要考虑汽车可能遇到的所有可能场景，例如夜晚、雷暴或暴风雪、孩子跑过街道、宠物、道路施工等。人工智能系统在各种条件下可靠安全地处理问题的能力反映了数据科学家或人工智能开发人员在设计或测试系统时的预见水平。 + +> [🎥 点击此处观看视频：](https://www.microsoft.com/videoplayer/embed/RE4vvIl) + +### 包容性 + +人工智能系统应设计为能够吸引和赋能所有人。在设计和实施人工智能系统时，数据科学家和人工智能开发人员需要识别并解决系统中可能无意间排除某些人的潜在障碍。例如，全球有10亿残疾人。随着人工智能的进步，他们可以更轻松地获取广泛的信息和机会。通过解决这些障碍，可以创造创新机会，开发具有更好体验的人工智能产品，从而惠及所有人。 + +> [🎥 点击此处观看视频：人工智能中的包容性](https://www.microsoft.com/videoplayer/embed/RE4vl9v) + +### 安全与隐私 + +人工智能系统应安全并尊重个人隐私。人们对那些可能危及隐私、信息或生命的系统信任度较低。在训练机器学习模型时，我们依赖数据以获得最佳结果。在此过程中，必须考虑数据的来源和完整性。例如，数据是用户提交的还是公开可用的？接下来，在处理数据时，开发人工智能系统时必须能够保护机密信息并抵御攻击。随着人工智能的普及，保护隐私和确保重要的个人和商业信息的安全变得越来越重要和复杂。隐私和数据安全问题需要特别关注人工智能，因为数据访问对于人工智能系统做出准确和知情的预测以及关于人的决策至关重要。 + +> [🎥 点击此处观看视频：人工智能中的安全性](https://www.microsoft.com/videoplayer/embed/RE4voJF) + +- 在行业中，我们在隐私和安全方面取得了显著进展，这在很大程度上得益于像GDPR（通用数据保护条例）这样的法规。 +- 然而，对于人工智能系统，我们必须承认需要更多个人数据以使系统更个性化和有效——与隐私之间的紧张关系。 +- 就像互联网连接的计算机诞生一样，我们也看到了与人工智能相关的安全问题数量的巨大增长。 +- 同时，我们也看到人工智能被用于改善安全性。例如，大多数现代杀毒扫描器今天都由人工智能启发式驱动。 +- 我们需要确保我们的数据科学流程与最新的隐私和安全实践和谐融合。 + +### 透明性 + +人工智能系统应易于理解。透明性的一个关键部分是解释人工智能系统及其组件的行为。提高对人工智能系统的理解需要利益相关者能够理解它们的功能和原因，以便识别潜在的性能问题、安全和隐私问题、偏见、排他性实践或意外结果。我们还认为，使用人工智能系统的人应该诚实并坦率地说明何时、为何以及如何选择部署它们，以及所使用系统的局限性。例如，如果一家银行使用人工智能系统来支持其消费者贷款决策，那么审查结果并了解哪些数据影响系统的推荐是很重要的。政府开始对各行业的人工智能进行监管，因此数据科学家和组织必须解释人工智能系统是否符合监管要求，特别是在出现不理想结果时。 + +> [🎥 点击此处观看视频：人工智能中的透明性](https://www.microsoft.com/videoplayer/embed/RE4voJF) + +- 由于人工智能系统非常复杂，很难理解它们的工作原理并解释结果。 +- 这种理解的缺乏影响了这些系统的管理、操作化和文档化方式。 +- 更重要的是，这种理解的缺乏影响了使用这些系统产生的结果所做出的决策。 + +### 责任感 + +设计和部署人工智能系统的人必须对其系统的运行负责。责任感对于敏感技术的使用尤其重要，例如面部识别技术。最近，面部识别技术的需求不断增长，尤其是执法机构，他们看到了该技术在寻找失踪儿童等用途上的潜力。然而，这些技术可能会被政府用于威胁公民的基本自由，例如对特定个人进行持续监控。因此，数据科学家和组织需要对其人工智能系统对个人或社会的影响负责。 + +[![领先的人工智能研究人员警告面部识别可能导致大规模监控](../../../../1-Introduction/3-fairness/images/accountability.png)](https://www.youtube.com/watch?v=Wldt8P5V6D0 "微软的负责任人工智能方法") + +> 🎥 点击上方图片观看视频：面部识别可能导致大规模监控的警告 + +最终，对于我们这一代人来说，作为将人工智能引入社会的第一代人，最大的一个问题是如何确保计算机始终对人类负责，以及如何确保设计计算机的人对其他人负责。 + +## 影响评估 + +在训练机器学习模型之前，进行影响评估以了解人工智能系统的目的、预期用途、部署地点以及与系统交互的人非常重要。这些评估有助于评审者或测试人员在识别潜在风险和预期后果时知道需要考虑哪些因素。 + +以下是进行影响评估时的重点领域： + +* **对个人的不利影响**：意识到任何限制或要求、不支持的用途或任何已知限制影响系统性能至关重要，以确保系统不会以可能对个人造成伤害的方式使用。 +* **数据要求**：了解系统如何以及在哪里使用数据使评审者能够探索需要注意的任何数据要求（例如GDPR或HIPPA数据法规）。此外，检查数据的来源或数量是否足够用于训练。 +* **影响摘要**：收集使用系统可能产生的潜在危害列表。在机器学习生命周期中，审查是否解决或处理了识别的问题。 +* **六项核心原则的适用目标**：评估每项原则的目标是否达成，以及是否存在任何差距。 + +## 使用负责任人工智能进行调试 + +与调试软件应用程序类似，调试人工智能系统是识别和解决系统问题的必要过程。许多因素会影响模型未按预期或负责任地运行。大多数传统模型性能指标是模型性能的定量汇总，这不足以分析模型如何违反负责任人工智能原则。此外，机器学习模型是一个黑箱，难以理解其结果的驱动因素或在出现错误时提供解释。在本课程后续部分，我们将学习如何使用负责任人工智能仪表板来帮助调试人工智能系统。该仪表板为数据科学家和人工智能开发人员提供了一个全面的工具，用于执行以下操作： + +* **错误分析**：识别模型的错误分布，这可能影响系统的公平性或可靠性。 +* **模型概览**：发现模型在不同数据群体中的性能差异。 +* **数据分析**：了解数据分布并识别数据中可能导致公平性、包容性和可靠性问题的潜在偏见。 +* **模型可解释性**：了解影响或驱动模型预测的因素。这有助于解释模型的行为，这对透明性和责任感至关重要。 + +## 🚀 挑战 + +为了防止危害的引入，我们应该： + +- 确保参与系统开发的人员具有多样化的背景和观点 +- 投资于反映社会多样性的数据集 +- 在整个机器学习生命周期中开发更好的方法，以检测和纠正负责任人工智能问题 + +思考现实生活中模型在构建和使用过程中显现不可信的场景。我们还应该考虑什么？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在本课中，您已经学习了机器学习中公平性和不公平性概念的一些基础知识。 +观看此研讨会，深入了解相关主题： + +- 追求负责任的人工智能：将原则付诸实践，由 Besmira Nushi、Mehrnoosh Sameki 和 Amit Sharma 主讲 + +[![负责任的人工智能工具箱：构建负责任人工智能的开源框架](https://img.youtube.com/vi/tGgJCrA-MZU/0.jpg)](https://www.youtube.com/watch?v=tGgJCrA-MZU "RAI Toolbox: 构建负责任人工智能的开源框架") + +> 🎥 点击上方图片观看视频：RAI Toolbox: 构建负责任人工智能的开源框架，由 Besmira Nushi、Mehrnoosh Sameki 和 Amit Sharma 主讲 + +此外，阅读以下内容： + +- 微软的负责任人工智能资源中心：[负责任人工智能资源 – Microsoft AI](https://www.microsoft.com/ai/responsible-ai-resources?activetab=pivot1%3aprimaryr4) + +- 微软的 FATE 研究团队：[FATE: 公平性、问责性、透明性和人工智能伦理 - Microsoft Research](https://www.microsoft.com/research/theme/fate/) + +RAI 工具箱： + +- [负责任人工智能工具箱 GitHub 仓库](https://github.com/microsoft/responsible-ai-toolbox) + +了解 Azure 机器学习工具如何确保公平性： + +- [Azure 机器学习](https://docs.microsoft.com/azure/machine-learning/concept-fairness-ml?WT.mc_id=academic-77952-leestott) + +## 作业 + +[探索 RAI 工具箱](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。虽然我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/3-fairness/assignment.md b/translations/zh-CN/1-Introduction/3-fairness/assignment.md new file mode 100644 index 000000000..47bffface --- /dev/null +++ b/translations/zh-CN/1-Introduction/3-fairness/assignment.md @@ -0,0 +1,16 @@ +# 探索负责任的AI工具箱 + +## 说明 + +在本课程中，您学习了负责任的AI工具箱，这是一个“开源的、社区驱动的项目，旨在帮助数据科学家分析和改进AI系统。” 在本次作业中，请探索RAI工具箱的一个[笔记本](https://github.com/microsoft/responsible-ai-toolbox/blob/main/notebooks/responsibleaidashboard/getting-started.ipynb)，并在论文或演示文稿中报告您的发现。 + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | --------- | -------- | ----------------- | +| | 提交了一篇论文或PowerPoint演示文稿，讨论了Fairlearn的系统、运行的笔记本以及从中得出的结论 | 提交了一篇没有结论的论文 | 未提交论文 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/4-techniques-of-ML/README.md b/translations/zh-CN/1-Introduction/4-techniques-of-ML/README.md new file mode 100644 index 000000000..181e5bf20 --- /dev/null +++ b/translations/zh-CN/1-Introduction/4-techniques-of-ML/README.md @@ -0,0 +1,123 @@ +# 机器学习技术 + +构建、使用和维护机器学习模型及其所需数据的过程，与许多其他开发工作流有很大的不同。在本课中，我们将揭开这一过程的神秘面纱，并概述您需要了解的主要技术。您将： + +- 从高层次理解机器学习的基本流程。 +- 探索诸如“模型”、“预测”和“训练数据”等基础概念。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +[![机器学习入门 - 机器学习技术](https://img.youtube.com/vi/4NGM0U2ZSHU/0.jpg)](https://youtu.be/4NGM0U2ZSHU "机器学习入门 - 机器学习技术") + +> 🎥 点击上方图片观看本课的简短视频。 + +## 介绍 + +从高层次来看，创建机器学习（ML）流程的过程包括以下几个步骤： + +1. **确定问题**。大多数机器学习流程从提出一个无法通过简单条件程序或基于规则的引擎回答的问题开始。这些问题通常围绕基于数据集合的预测展开。 +2. **收集和准备数据**。为了回答您的问题，您需要数据。数据的质量以及有时数据的数量将决定您能多好地回答最初的问题。可视化数据是这一阶段的重要部分。这一阶段还包括将数据分为训练集和测试集以构建模型。 +3. **选择训练方法**。根据您的问题和数据的性质，您需要选择一种训练模型的方法，以便最好地反映数据并对其进行准确预测。这是机器学习流程中需要特定专业知识的部分，通常需要大量的实验。 +4. **训练模型**。使用训练数据，您将使用各种算法训练模型以识别数据中的模式。模型可能会利用内部权重，这些权重可以调整以优先考虑数据的某些部分，从而构建更好的模型。 +5. **评估模型**。使用从未见过的数据（测试数据）来检查模型的表现。 +6. **参数调优**。根据模型的表现，您可以使用不同的参数或变量重新进行训练，这些参数或变量控制用于训练模型的算法的行为。 +7. **预测**。使用新的输入测试模型的准确性。 + +## 提出什么问题 + +计算机特别擅长发现数据中的隐藏模式。这种能力对研究人员来说非常有用，他们可能会提出一些无法通过条件规则引擎轻松回答的问题。例如，在精算任务中，数据科学家可能能够围绕吸烟者与非吸烟者的死亡率构建手工规则。 + +然而，当许多其他变量被纳入考虑时，机器学习模型可能更高效地根据过去的健康历史预测未来的死亡率。一个更令人愉快的例子可能是基于纬度、经度、气候变化、靠近海洋、喷流模式等数据预测某地四月份的天气。 + +✅ 这份[幻灯片](https://www2.cisl.ucar.edu/sites/default/files/2021-10/0900%20June%2024%20Haupt_0.pdf)提供了使用机器学习进行天气分析的历史视角。 + +## 构建前的任务 + +在开始构建模型之前，您需要完成几个任务。为了测试您的问题并根据模型的预测形成假设，您需要识别并配置几个要素。 + +### 数据 + +为了以任何确定性回答您的问题，您需要足够数量的正确类型的数据。在这一点上，您需要完成以下两件事： + +- **收集数据**。牢记上一课关于数据分析公平性的内容，谨慎收集数据。注意数据的来源、可能存在的内在偏见，并记录其来源。 +- **准备数据**。数据准备过程包括多个步骤。如果数据来自不同来源，您可能需要整理并规范化数据。您可以通过各种方法提高数据的质量和数量，例如将字符串转换为数字（如我们在[聚类](../../5-Clustering/1-Visualize/README.md)中所做的）。您还可以基于原始数据生成新数据（如我们在[分类](../../4-Classification/1-Introduction/README.md)中所做的）。您可以清理和编辑数据（如我们在[Web 应用](../../3-Web-App/README.md)课程之前所做的）。最后，根据您的训练技术，您可能还需要随机化和打乱数据。 + +✅ 在收集和处理数据后，花点时间检查其形状是否能帮助您解决预期问题。可能会发现数据在给定任务中表现不佳，就像我们在[聚类](../../5-Clustering/1-Visualize/README.md)课程中发现的那样！ + +### 特征和目标 + +[特征](https://www.datasciencecentral.com/profiles/blogs/an-introduction-to-variable-and-feature-selection)是数据的可测量属性。在许多数据集中，它通常以列标题的形式表示，例如“日期”、“大小”或“颜色”。特征变量通常在代码中表示为`X`，代表用于训练模型的输入变量。 + +目标是您试图预测的内容。目标通常在代码中表示为`y`，代表您试图从数据中回答的问题：在十二月，哪种**颜色**的南瓜最便宜？在旧金山，哪些社区的房地产**价格**最好？有时目标也被称为标签属性。 + +### 选择特征变量 + +🎓 **特征选择和特征提取** 如何在构建模型时选择变量？您可能会经历特征选择或特征提取的过程，以选择最适合的变量来构建性能最佳的模型。然而，它们并不相同：“特征提取通过原始特征的函数创建新特征，而特征选择返回特征的子集。”（[来源](https://wikipedia.org/wiki/Feature_selection)） + +### 可视化数据 + +数据科学家工具箱的重要组成部分是使用 Seaborn 或 MatPlotLib 等优秀库可视化数据的能力。通过可视化数据，您可能会发现可以利用的隐藏相关性。可视化还可能帮助您发现偏差或数据不平衡（如我们在[分类](../../4-Classification/2-Classifiers-1/README.md)中发现的那样）。 + +### 划分数据集 + +在训练之前，您需要将数据集划分为两个或更多不等大小的部分，同时确保它们能很好地代表数据。 + +- **训练集**。数据集的这一部分用于训练模型。它通常占原始数据集的大部分。 +- **测试集**。测试数据集是一个独立的数据组，通常从原始数据中提取，用于验证模型的性能。 +- **验证集**。验证集是一个较小的独立数据组，用于调整模型的超参数或架构以改进模型。根据数据的大小和您提出的问题，您可能不需要构建这个第三组（如我们在[时间序列预测](../../7-TimeSeries/1-Introduction/README.md)中提到的）。 + +## 构建模型 + +使用训练数据，您的目标是通过各种算法**训练**模型，构建数据的统计表示。训练模型使其接触数据，并让它对发现的模式进行假设、验证并接受或拒绝。 + +### 决定训练方法 + +根据您的问题和数据的性质，您将选择一种训练方法。通过浏览[Scikit-learn 的文档](https://scikit-learn.org/stable/user_guide.html)（我们在本课程中使用的工具），您可以探索多种训练模型的方法。根据您的经验，您可能需要尝试几种不同的方法来构建最佳模型。数据科学家通常会经历一个过程，通过向模型提供未见过的数据来评估其性能，检查准确性、偏差和其他质量问题，并选择最适合当前任务的训练方法。 + +### 训练模型 + +有了训练数据，您可以开始“拟合”数据以创建模型。您会注意到，在许多机器学习库中，代码中会出现“model.fit”——此时，您将特征变量作为值数组（通常是`X`）和目标变量（通常是`y`）传入。 + +### 评估模型 + +一旦训练过程完成（对于大型模型可能需要多次迭代或“周期”），您可以使用测试数据评估模型的质量，以衡量其性能。这些数据是模型之前未分析过的原始数据的子集。您可以打印出关于模型质量的指标表。 + +🎓 **模型拟合** + +在机器学习的背景下，模型拟合指的是模型底层函数在尝试分析未见过的数据时的准确性。 + +🎓 **欠拟合**和**过拟合**是常见问题，会降低模型质量。欠拟合的模型无法很好地分析训练数据或未见过的数据，而过拟合的模型过于贴合训练数据的细节和噪声。过拟合的模型对训练数据的预测过于精准，而欠拟合的模型则不够准确。 + +![过拟合模型](../../../../1-Introduction/4-techniques-of-ML/images/overfitting.png) +> 信息图由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +## 参数调优 + +初步训练完成后，观察模型的质量，并通过调整其“超参数”来改进模型。阅读更多关于该过程的内容：[文档](https://docs.microsoft.com/en-us/azure/machine-learning/how-to-tune-hyperparameters?WT.mc_id=academic-77952-leestott)。 + +## 预测 + +这是您可以使用全新数据测试模型准确性的时刻。在“应用”机器学习场景中，例如构建用于生产的 Web 应用程序，这一过程可能涉及收集用户输入（例如按钮点击）以设置变量并将其发送到模型进行推断或评估。 + +在这些课程中，您将学习如何使用这些步骤来准备、构建、测试、评估和预测——这些都是数据科学家的基本操作，同时也将帮助您在成为“全栈”机器学习工程师的旅程中不断进步。 + +--- + +## 🚀挑战 + +绘制一张流程图，反映机器学习从业者的步骤。您认为自己目前处于哪个阶段？您预测在哪些方面会遇到困难？哪些部分对您来说似乎很容易？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在线搜索数据科学家讨论日常工作的访谈。这里有一个[示例](https://www.youtube.com/watch?v=Z3IjgbbCEfs)。 + +## 作业 + +[采访一位数据科学家](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/4-techniques-of-ML/assignment.md b/translations/zh-CN/1-Introduction/4-techniques-of-ML/assignment.md new file mode 100644 index 000000000..6a42463f7 --- /dev/null +++ b/translations/zh-CN/1-Introduction/4-techniques-of-ML/assignment.md @@ -0,0 +1,16 @@ +# 采访数据科学家 + +## 指导说明 + +在你的公司、用户组、朋友或同学中，找一位专业从事数据科学工作的人员进行交流。撰写一篇简短的文章（500字），描述他们的日常工作内容。他们是专攻某一领域，还是从事“全栈”工作？ + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ----------------------------------------------------------------------- | ------------------------------------------------------------- | -------------------- | +| | 提交一篇符合字数要求、带有明确来源的文章，并以 .doc 文件形式呈现 | 文章来源不明确或字数少于要求 | 未提交文章 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/1-Introduction/README.md b/translations/zh-CN/1-Introduction/README.md new file mode 100644 index 000000000..f56e93302 --- /dev/null +++ b/translations/zh-CN/1-Introduction/README.md @@ -0,0 +1,28 @@ +# 机器学习简介 + +在本课程部分中，您将了解机器学习领域的基本概念、它的定义，并学习它的历史以及研究人员使用的相关技术。让我们一起探索这个机器学习的新世界吧！ + +![globe](../../../translated_images/zh-CN/globe.59f26379ceb40428.webp) +> 图片由 Bill Oxford 提供，来自 Unsplash + +### 课程 + +1. [机器学习简介](1-intro-to-ML/README.md) +1. [机器学习和人工智能的历史](2-history-of-ML/README.md) +1. [公平性与机器学习](3-fairness/README.md) +1. [机器学习的技术](4-techniques-of-ML/README.md) + +### 致谢 + +《机器学习简介》由包括 [Muhammad Sakib Khan Inan](https://twitter.com/Sakibinan)、[Ornella Altunyan](https://twitter.com/ornelladotcom) 和 [Jen Looper](https://twitter.com/jenlooper) 在内的团队倾情创作。 + +《机器学习的历史》由 [Jen Looper](https://twitter.com/jenlooper) 和 [Amy Boyd](https://twitter.com/AmyKateNicho) 倾情创作。 + +《公平性与机器学习》由 [Tomomi Imura](https://twitter.com/girliemac) 倾情创作。 + +《机器学习的技术》由 [Jen Looper](https://twitter.com/jenlooper) 和 [Chris Noring](https://twitter.com/softchris) 倾情创作。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/1-Tools/README.md b/translations/zh-CN/2-Regression/1-Tools/README.md new file mode 100644 index 000000000..c076da040 --- /dev/null +++ b/translations/zh-CN/2-Regression/1-Tools/README.md @@ -0,0 +1,230 @@ +# 使用 Python 和 Scikit-learn 构建回归模型 + +![回归模型的简要概述](../../../../sketchnotes/ml-regression.png) + +> 由 [Tomomi Imura](https://www.twitter.com/girlie_mac) 绘制的手绘笔记 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +> ### [本课程也提供 R 版本！](../../../../2-Regression/1-Tools/solution/R/lesson_1.html) + +## 简介 + +在这四节课中，您将学习如何构建回归模型。我们很快会讨论这些模型的用途。但在开始之前，请确保您已准备好正确的工具来进行学习！ + +在本课中，您将学习： + +- 配置您的计算机以进行本地机器学习任务。 +- 使用 Jupyter 笔记本。 +- 安装并使用 Scikit-learn。 +- 通过动手练习探索线性回归。 + +## 安装和配置 + +[![机器学习入门 - 配置工具以构建机器学习模型](https://img.youtube.com/vi/-DfeD2k2Kj0/0.jpg)](https://youtu.be/-DfeD2k2Kj0 "机器学习入门 - 配置工具以构建机器学习模型") + +> 🎥 点击上方图片观看短视频，了解如何配置您的计算机以进行机器学习。 + +1. **安装 Python**。确保您的计算机上已安装 [Python](https://www.python.org/downloads/)。您将使用 Python 来完成许多数据科学和机器学习任务。大多数计算机系统已经预装了 Python。此外，还有一些有用的 [Python 编码包](https://code.visualstudio.com/learn/educators/installers?WT.mc_id=academic-77952-leestott)，可以简化某些用户的设置过程。 + + 不过，某些 Python 的使用场景可能需要不同版本的软件。因此，建议您使用 [虚拟环境](https://docs.python.org/3/library/venv.html)。 + +2. **安装 Visual Studio Code**。确保您的计算机上已安装 Visual Studio Code。按照这些说明完成 [Visual Studio Code 的安装](https://code.visualstudio.com/)。在本课程中，您将使用 Python 在 Visual Studio Code 中进行开发，因此您可能需要了解如何 [配置 Visual Studio Code](https://docs.microsoft.com/learn/modules/python-install-vscode?WT.mc_id=academic-77952-leestott) 以进行 Python 开发。 + + > 通过学习这组 [模块](https://docs.microsoft.com/users/jenlooper-2911/collections/mp1pagggd5qrq7?WT.mc_id=academic-77952-leestott)，熟悉 Python。 + > + > [![使用 Visual Studio Code 设置 Python](https://img.youtube.com/vi/yyQM70vi7V8/0.jpg)](https://youtu.be/yyQM70vi7V8 "使用 Visual Studio Code 设置 Python") + > + > 🎥 点击上方图片观看视频：在 VS Code 中使用 Python。 + +3. **安装 Scikit-learn**，按照 [这些说明](https://scikit-learn.org/stable/install.html) 进行安装。由于需要确保使用 Python 3，建议您使用虚拟环境。如果您在 M1 Mac 上安装此库，请参考上述页面中的特殊说明。 + +4. **安装 Jupyter Notebook**。您需要 [安装 Jupyter 包](https://pypi.org/project/jupyter/)。 + +## 您的机器学习开发环境 + +您将使用 **笔记本** 来开发 Python 代码并创建机器学习模型。这种文件类型是数据科学家常用的工具，其文件后缀为 `.ipynb`。 + +笔记本是一种交互式环境，允许开发者编写代码并添加注释和文档，非常适合实验或研究项目。 + +[![机器学习入门 - 设置 Jupyter 笔记本以开始构建回归模型](https://img.youtube.com/vi/7E-jC8FLA2E/0.jpg)](https://youtu.be/7E-jC8FLA2E "机器学习入门 - 设置 Jupyter 笔记本以开始构建回归模型") + +> 🎥 点击上方图片观看短视频，了解如何完成此练习。 + +### 练习 - 使用笔记本 + +在此文件夹中，您会找到文件 _notebook.ipynb_。 + +1. 在 Visual Studio Code 中打开 _notebook.ipynb_。 + + 一个 Jupyter 服务器将启动，并使用 Python 3+。您会发现笔记本中可以运行的代码块。您可以通过选择播放按钮图标运行代码块。 + +2. 选择 `md` 图标并添加一些 markdown，输入以下文本 **# 欢迎来到您的笔记本**。 + + 接下来，添加一些 Python 代码。 + +3. 在代码块中输入 **print('hello notebook')**。 +4. 选择箭头运行代码。 + + 您应该会看到打印的结果： + + ```output + hello notebook + ``` + +![在 VS Code 中打开的笔记本](../../../../2-Regression/1-Tools/images/notebook.jpg) + +您可以在代码中插入注释，以便自我记录笔记本内容。 + +✅ 思考一下，网页开发者的工作环境与数据科学家的工作环境有何不同。 + +## 使用 Scikit-learn 入门 + +现在，Python 已在您的本地环境中设置完毕，并且您已经熟悉了 Jupyter 笔记本，接下来让我们熟悉一下 Scikit-learn（发音为 `sci`，像 `science`）。Scikit-learn 提供了一个 [广泛的 API](https://scikit-learn.org/stable/modules/classes.html#api-ref)，帮助您完成机器学习任务。 + +根据其 [官网](https://scikit-learn.org/stable/getting_started.html) 的介绍，“Scikit-learn 是一个开源机器学习库，支持监督学习和无监督学习。它还提供了各种工具，用于模型拟合、数据预处理、模型选择和评估，以及许多其他实用功能。” + +在本课程中，您将使用 Scikit-learn 和其他工具构建机器学习模型，以完成我们称为“传统机器学习”的任务。我们特意避开了神经网络和深度学习，因为这些内容将在即将推出的“AI 入门”课程中详细介绍。 + +Scikit-learn 使构建模型并评估其使用变得简单。它主要专注于使用数值数据，并包含几个现成的数据集供学习使用。它还包括一些预构建的模型供学生尝试。让我们探索加载预打包数据并使用内置估算器构建第一个机器学习模型的过程。 + +## 练习 - 您的第一个 Scikit-learn 笔记本 + +> 本教程的灵感来源于 Scikit-learn 网站上的 [线性回归示例](https://scikit-learn.org/stable/auto_examples/linear_model/plot_ols.html#sphx-glr-auto-examples-linear-model-plot-ols-py)。 + +[![机器学习入门 - 您的第一个 Python 线性回归项目](https://img.youtube.com/vi/2xkXL5EUpS0/0.jpg)](https://youtu.be/2xkXL5EUpS0 "机器学习入门 - 您的第一个 Python 线性回归项目") + +> 🎥 点击上方图片观看短视频，了解如何完成此练习。 + +在与本课相关的 _notebook.ipynb_ 文件中，按下“垃圾桶”图标清空所有单元格。 + +在本节中，您将使用 Scikit-learn 中内置的一个关于糖尿病的小型数据集进行学习。假设您想测试一种针对糖尿病患者的治疗方法。机器学习模型可能会帮助您根据变量的组合确定哪些患者对治疗的反应更好。即使是一个非常基础的回归模型，当可视化时，也可能显示有关变量的信息，帮助您组织理论临床试验。 + +✅ 回归方法有很多种，选择哪一种取决于您想要回答的问题。如果您想预测某个年龄段的人的可能身高，您可以使用线性回归，因为您在寻找一个 **数值**。如果您想确定某种菜肴是否应该被归类为素食，您在寻找一个 **类别分配**，因此您可以使用逻辑回归。稍后您将学习更多关于逻辑回归的内容。思考一下，您可以向数据提出哪些问题，以及哪种方法更适合回答这些问题。 + +让我们开始这个任务。 + +### 导入库 + +在此任务中，我们将导入一些库： + +- **matplotlib**。这是一个有用的 [绘图工具](https://matplotlib.org/)，我们将用它来创建折线图。 +- **numpy**。 [numpy](https://numpy.org/doc/stable/user/whatisnumpy.html) 是一个处理 Python 数值数据的有用库。 +- **sklearn**。这是 [Scikit-learn](https://scikit-learn.org/stable/user_guide.html) 库。 + +导入一些库以帮助完成任务。 + +1. 通过输入以下代码添加导入： + + ```python + import matplotlib.pyplot as plt + import numpy as np + from sklearn import datasets, linear_model, model_selection + ``` + + 上述代码导入了 `matplotlib` 和 `numpy`，并从 `sklearn` 中导入了 `datasets`、`linear_model` 和 `model_selection`。`model_selection` 用于将数据分割为训练集和测试集。 + +### 糖尿病数据集 + +内置的 [糖尿病数据集](https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset) 包括 442 个关于糖尿病的数据样本，包含 10 个特征变量，其中一些包括： + +- age：年龄（以年为单位） +- bmi：身体质量指数 +- bp：平均血压 +- s1 tc：T 细胞（白细胞的一种） + +✅ 此数据集包含“性别”这一特征变量，这在糖尿病研究中很重要。许多医学数据集都包含这种二元分类。思考一下，这种分类可能会如何将某些群体排除在治疗之外。 + +现在，加载 X 和 y 数据。 + +> 🎓 请记住，这是监督学习，我们需要一个名为“y”的目标变量。 + +在新的代码单元中，通过调用 `load_diabetes()` 加载糖尿病数据集。输入参数 `return_X_y=True` 表示 `X` 将是数据矩阵，而 `y` 将是回归目标。 + +1. 添加一些打印命令以显示数据矩阵的形状及其第一个元素： + + ```python + X, y = datasets.load_diabetes(return_X_y=True) + print(X.shape) + print(X[0]) + ``` + + 您得到的响应是一个元组。您将元组的前两个值分别赋给 `X` 和 `y`。了解更多 [关于元组](https://wikipedia.org/wiki/Tuple)。 + + 您可以看到这些数据有 442 个项目，每个项目是包含 10 个元素的数组： + + ```text + (442, 10) + [ 0.03807591 0.05068012 0.06169621 0.02187235 -0.0442235 -0.03482076 + -0.04340085 -0.00259226 0.01990842 -0.01764613] + ``` + + ✅ 思考一下数据与回归目标之间的关系。线性回归预测特征 X 和目标变量 y 之间的关系。您能在文档中找到糖尿病数据集的 [目标](https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset) 吗？这个数据集展示了什么？ + +2. 接下来，通过选择数据集的第 3 列来绘制部分数据。您可以使用 `:` 操作符选择所有行，然后使用索引（2）选择第 3 列。您还可以使用 `reshape(n_rows, n_columns)` 将数据重塑为二维数组（绘图所需）。如果其中一个参数为 -1，则对应的维度会自动计算。 + + ```python + X = X[:, 2] + X = X.reshape((-1,1)) + ``` + + ✅ 随时打印数据以检查其形状。 + +3. 现在您已经准备好绘制数据，可以看看机器是否能帮助确定数据集中的逻辑分割。为此，您需要将数据（X）和目标（y）分割为测试集和训练集。Scikit-learn 提供了一种简单的方法，您可以在给定点分割测试数据。 + + ```python + X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33) + ``` + +4. 现在您可以训练模型了！加载线性回归模型，并使用 `model.fit()` 用 X 和 y 训练集训练模型： + + ```python + model = linear_model.LinearRegression() + model.fit(X_train, y_train) + ``` + + ✅ `model.fit()` 是一个您会在许多机器学习库（如 TensorFlow）中看到的函数。 + +5. 然后，使用测试数据创建预测，使用 `predict()` 函数。这将用于绘制数据组之间的分割线。 + + ```python + y_pred = model.predict(X_test) + ``` + +6. 现在是时候用图表展示数据了。Matplotlib 是一个非常有用的工具。创建一个所有 X 和 y 测试数据的散点图，并使用预测结果在数据组之间绘制一条最合适的线。 + + ```python + plt.scatter(X_test, y_test, color='black') + plt.plot(X_test, y_pred, color='blue', linewidth=3) + plt.xlabel('Scaled BMIs') + plt.ylabel('Disease Progression') + plt.title('A Graph Plot Showing Diabetes Progression Against BMI') + plt.show() + ``` + + ![显示糖尿病数据点的散点图](../../../../2-Regression/1-Tools/images/scatterplot.png) +✅ 想一想这里发生了什么。一条直线穿过许多小数据点，但它究竟在做什么？你能看出如何利用这条线来预测一个新的、未见过的数据点在图表的 y 轴上的位置吗？试着用语言描述这个模型的实际用途。 + +恭喜你！你已经构建了第一个线性回归模型，用它进行了预测，并将结果显示在图表中！ + +--- +## 🚀挑战 + +绘制该数据集中不同变量的图表。提示：编辑这行代码：`X = X[:,2]`。根据该数据集的目标，你能发现关于糖尿病作为一种疾病的进展的什么信息？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在本教程中，你使用了简单线性回归，而不是单变量或多变量线性回归。阅读一些关于这些方法之间差异的内容，或者观看[这个视频](https://www.coursera.org/lecture/quantifying-relationships-regression-models/linear-vs-nonlinear-categorical-variables-ai2Ef)。 + +阅读更多关于回归的概念，并思考这种技术可以回答哪些类型的问题。通过[这个教程](https://docs.microsoft.com/learn/modules/train-evaluate-regression-models?WT.mc_id=academic-77952-leestott)来加深你的理解。 + +## 作业 + +[一个不同的数据集](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/1-Tools/assignment.md b/translations/zh-CN/2-Regression/1-Tools/assignment.md new file mode 100644 index 000000000..50a58c181 --- /dev/null +++ b/translations/zh-CN/2-Regression/1-Tools/assignment.md @@ -0,0 +1,18 @@ +# 使用 Scikit-learn 进行回归分析 + +## 说明 + +查看 Scikit-learn 中的 [Linnerud 数据集](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_linnerud.html#sklearn.datasets.load_linnerud)。这个数据集包含多个[目标变量](https://scikit-learn.org/stable/datasets/toy_dataset.html#linnerrud-dataset)：“它由三项运动（数据）和三项生理指标（目标变量）组成，这些数据是从一家健身俱乐部的二十名中年男性中收集的。” + +用你自己的话描述如何创建一个回归模型，以绘制腰围与完成仰卧起坐次数之间的关系。同样，针对该数据集中的其他数据点也进行类似的描述。 + +## 评分标准 + +| 标准 | 优秀 | 合格 | 需要改进 | +| ----------------------------- | --------------------------------- | ---------------------------- | ------------------------- | +| 提交描述性段落 | 提交了一段写得很好的描述性段落 | 提交了几句话 | 未提供任何描述 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/1-Tools/notebook.ipynb b/translations/zh-CN/2-Regression/1-Tools/notebook.ipynb new file mode 100644 index 000000000..e69de29bb diff --git a/translations/zh-CN/2-Regression/1-Tools/solution/Julia/README.md b/translations/zh-CN/2-Regression/1-Tools/solution/Julia/README.md new file mode 100644 index 000000000..779236745 --- /dev/null +++ b/translations/zh-CN/2-Regression/1-Tools/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/1-Tools/solution/R/lesson_1-R.ipynb b/translations/zh-CN/2-Regression/1-Tools/solution/R/lesson_1-R.ipynb new file mode 100644 index 000000000..f7e1ee54c --- /dev/null +++ b/translations/zh-CN/2-Regression/1-Tools/solution/R/lesson_1-R.ipynb @@ -0,0 +1,447 @@ +{ + "nbformat": 4, + "nbformat_minor": 2, + "metadata": { + "colab": { + "name": "lesson_1-R.ipynb", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "c18d3bd0bd8ae3878597e89dcd1fa5c1", + "translation_date": "2025-09-03T19:43:03+00:00", + "source_file": "2-Regression/1-Tools/solution/R/lesson_1-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "YJUHCXqK57yz" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 回归简介 - 第1课\n", + "\n", + "#### 放到实际情境中\n", + "\n", + "✅ 回归方法有很多种，选择哪一种取决于你想要得到的答案。如果你想预测某个年龄段的人可能的身高，你会使用 `线性回归`，因为你在寻找一个**数值结果**。如果你想知道某种菜肴是否应该被归类为素食，你是在寻找一个**类别分配**，因此你会使用 `逻辑回归`。稍后你会学习更多关于逻辑回归的内容。试着思考一些你可以从数据中提出的问题，以及哪种方法更适合这些问题。\n", + "\n", + "在本节中，你将使用一个[关于糖尿病的小型数据集](https://www4.stat.ncsu.edu/~boos/var.select/diabetes.html)。假设你想测试一种针对糖尿病患者的治疗方法。机器学习模型可能会帮助你根据变量的组合确定哪些患者对治疗的反应更好。即使是一个非常基础的回归模型，在可视化时也可能显示出一些关于变量的信息，这些信息可以帮助你组织理论上的临床试验。\n", + "\n", + "话不多说，让我们开始这项任务吧！\n", + "\n", + "

\n", + " \n", + "

由 @allison_horst 创作的艺术作品
\n", + "\n", + "\n" + ], + "metadata": { + "id": "LWNNzfqd6feZ" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. 加载工具集\n", + "\n", + "在这个任务中，我们需要以下软件包：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个[由 R 软件包组成的集合](https://www.tidyverse.org/packages)，旨在让数据科学更快速、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个[由软件包组成的集合](https://www.tidymodels.org/packages/)，用于建模和机器学习。\n", + "\n", + "你可以通过以下命令安装它们：\n", + "\n", + "`install.packages(c(\"tidyverse\", \"tidymodels\"))`\n", + "\n", + "下面的脚本会检查你是否拥有完成本模块所需的软件包，并在缺少某些软件包时为你安装它们。\n" + ], + "metadata": { + "id": "FIo2YhO26wI9" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "source": [ + "suppressWarnings(if(!require(\"pacman\")) install.packages(\"pacman\"))\n", + "pacman::p_load(tidyverse, tidymodels)" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Loading required package: pacman\n", + "\n" + ] + } + ], + "metadata": { + "id": "cIA9fz9v7Dss", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2df7073b-86b2-4b32-cb86-0da605a0dc11" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在，让我们加载这些超棒的包并使它们在我们当前的 R 会话中可用。（这只是为了说明，`pacman::p_load()` 已经为您完成了这一操作）\n" + ], + "metadata": { + "id": "gpO_P_6f9WUG" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# load the core Tidyverse packages\r\n", + "library(tidyverse)\r\n", + "\r\n", + "# load the core Tidymodels packages\r\n", + "library(tidymodels)\r\n" + ], + "outputs": [], + "metadata": { + "id": "NLMycgG-9ezO" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. 糖尿病数据集\n", + "\n", + "在本次练习中，我们将通过对糖尿病数据集进行预测来展示我们的回归技能。[糖尿病数据集](https://www4.stat.ncsu.edu/~boos/var.select/diabetes.rwrite1.txt) 包含 `442 个样本`，数据包括 10 个预测特征变量：`年龄`、`性别`、`身体质量指数`、`平均血压`以及 `六项血清测量值`，还有一个结果变量 `y`：衡量基线后一年疾病进展的定量指标。\n", + "\n", + "|观察数量|442|\n", + "|----------------------|:---|\n", + "|预测变量数量|前 10 列为数值型预测变量|\n", + "|结果/目标|第 11 列为基线后一年疾病进展的定量指标|\n", + "|预测变量信息|- 年龄（以年为单位）\n", + "||- 性别\n", + "||- bmi 身体质量指数\n", + "||- bp 平均血压\n", + "||- s1 tc，总血清胆固醇\n", + "||- s2 ldl，低密度脂蛋白\n", + "||- s3 hdl，高密度脂蛋白\n", + "||- s4 tch，总胆固醇 / HDL\n", + "||- s5 ltg，可能是血清甘油三酯水平的对数值\n", + "||- s6 glu，血糖水平|\n", + "\n", + "> 🎓 记住，这是监督学习，我们需要一个名为 'y' 的目标变量。\n", + "\n", + "在使用 R 操作数据之前，您需要将数据导入 R 的内存，或者建立一个 R 可以用来远程访问数据的连接。\n", + "\n", + "> [readr](https://readr.tidyverse.org/) 包是 Tidyverse 的一部分，它提供了一种快速且友好的方式将矩形数据读入 R。\n", + "\n", + "现在，让我们加载来源 URL 提供的糖尿病数据集：\n", + "\n", + "此外，我们将使用 `glimpse()` 对数据进行基本检查，并使用 `slice()` 显示前 5 行。\n", + "\n", + "在继续之前，让我们介绍一个您在 R 代码中经常会遇到的东西 🥁🥁：管道操作符 `%>%`\n", + "\n", + "管道操作符 (`%>%`) 按逻辑顺序执行操作，将一个对象传递到函数或表达式中。您可以将管道操作符理解为代码中的“然后”。\n" + ], + "metadata": { + "id": "KM6iXLH996Cl" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Import the data set\r\n", + "diabetes <- read_table2(file = \"https://www4.stat.ncsu.edu/~boos/var.select/diabetes.rwrite1.txt\")\r\n", + "\r\n", + "\r\n", + "# Get a glimpse and dimensions of the data\r\n", + "glimpse(diabetes)\r\n", + "\r\n", + "\r\n", + "# Select the first 5 rows of the data\r\n", + "diabetes %>% \r\n", + " slice(1:5)" + ], + "outputs": [], + "metadata": { + "id": "Z1geAMhM-bSP" + } + }, + { + "cell_type": "markdown", + "source": [ + "`glimpse()` 命令显示，这个数据集有 442 行和 11 列，所有列的数据类型均为 `double`。\n", + "\n", + "
\n", + "\n", + "> `glimpse()` 和 `slice()` 是 [`dplyr`](https://dplyr.tidyverse.org/) 包中的函数。Dplyr 是 Tidyverse 的一部分，它是一种数据操作的语法，提供了一组一致的动词，帮助解决最常见的数据处理问题。\n", + "\n", + "
\n", + "\n", + "现在我们已经有了数据，接下来让我们聚焦于一个特征（`bmi`），作为本次练习的目标。为此，我们需要选择所需的列。那么，我们该如何操作呢？\n", + "\n", + "[`dplyr::select()`](https://dplyr.tidyverse.org/reference/select.html) 函数允许我们在数据框中*选择*（并可选地重命名）列。\n" + ], + "metadata": { + "id": "UwjVT1Hz-c3Z" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Select predictor feature `bmi` and outcome `y`\r\n", + "diabetes_select <- diabetes %>% \r\n", + " select(c(bmi, y))\r\n", + "\r\n", + "# Print the first 5 rows\r\n", + "diabetes_select %>% \r\n", + " slice(1:10)" + ], + "outputs": [], + "metadata": { + "id": "RDY1oAKI-m80" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. 训练和测试数据\n", + "\n", + "在监督学习中，通常的做法是将数据*分割*成两个子集：一个（通常较大的）用于训练模型的集合，以及一个较小的“保留”集合，用于查看模型的表现如何。\n", + "\n", + "现在我们已经准备好了数据，可以看看机器是否能够帮助我们在这个数据集中找到一个合理的分割方式。我们可以使用 [rsample](https://tidymodels.github.io/rsample/) 包，它是 Tidymodels 框架的一部分，用来创建一个包含数据分割信息的对象，然后使用另外两个 rsample 函数提取生成的训练集和测试集：\n" + ], + "metadata": { + "id": "SDk668xK-tc3" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "set.seed(2056)\r\n", + "# Split 67% of the data for training and the rest for tesing\r\n", + "diabetes_split <- diabetes_select %>% \r\n", + " initial_split(prop = 0.67)\r\n", + "\r\n", + "# Extract the resulting train and test sets\r\n", + "diabetes_train <- training(diabetes_split)\r\n", + "diabetes_test <- testing(diabetes_split)\r\n", + "\r\n", + "# Print the first 3 rows of the training set\r\n", + "diabetes_train %>% \r\n", + " slice(1:10)" + ], + "outputs": [], + "metadata": { + "id": "EqtHx129-1h-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. 使用Tidymodels训练线性回归模型\n", + "\n", + "现在我们可以开始训练模型了！\n", + "\n", + "在Tidymodels中，你可以通过`parsnip()`指定模型，主要涉及以下三个概念：\n", + "\n", + "- 模型**类型**区分了不同的模型，例如线性回归、逻辑回归、决策树模型等。\n", + "\n", + "- 模型**模式**包括常见选项如回归和分类；某些模型类型支持这两种模式，而有些仅支持其中一种。\n", + "\n", + "- 模型**引擎**是用于拟合模型的计算工具。通常这些是R包，例如 **`\"lm\"`** 或 **`\"ranger\"`**。\n", + "\n", + "这些建模信息会被捕获到一个模型规范中，所以让我们来构建一个吧！\n" + ], + "metadata": { + "id": "sBOS-XhB-6v7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Build a linear model specification\r\n", + "lm_spec <- \r\n", + " # Type\r\n", + " linear_reg() %>% \r\n", + " # Engine\r\n", + " set_engine(\"lm\") %>% \r\n", + " # Mode\r\n", + " set_mode(\"regression\")\r\n", + "\r\n", + "\r\n", + "# Print the model specification\r\n", + "lm_spec" + ], + "outputs": [], + "metadata": { + "id": "20OwEw20--t3" + } + }, + { + "cell_type": "markdown", + "source": [ + "在模型被*指定*之后，可以使用 [`fit()`](https://parsnip.tidymodels.org/reference/fit.html) 函数对模型进行`估计`或`训练`，通常使用公式和一些数据。\n", + "\n", + "`y ~ .` 表示我们将拟合 `y` 作为预测值/目标，由所有预测变量/特征解释，即 `.`（在这个例子中，我们只有一个预测变量：`bmi`）。\n" + ], + "metadata": { + "id": "_oDHs89k_CJj" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Build a linear model specification\r\n", + "lm_spec <- linear_reg() %>% \r\n", + " set_engine(\"lm\") %>%\r\n", + " set_mode(\"regression\")\r\n", + "\r\n", + "\r\n", + "# Train a linear regression model\r\n", + "lm_mod <- lm_spec %>% \r\n", + " fit(y ~ ., data = diabetes_train)\r\n", + "\r\n", + "# Print the model\r\n", + "lm_mod" + ], + "outputs": [], + "metadata": { + "id": "YlsHqd-q_GJQ" + } + }, + { + "cell_type": "markdown", + "source": [ + "从模型输出中，我们可以看到训练过程中学习到的系数。它们表示最佳拟合线的系数，该线使实际变量与预测变量之间的总体误差最小。\n", + "
\n", + "\n", + "## 5. 在测试集上进行预测\n", + "\n", + "现在我们已经训练了一个模型，可以使用它通过 [parsnip::predict()](https://parsnip.tidymodels.org/reference/predict.model_fit.html) 来预测测试数据集中的疾病进展 y。这将用于绘制数据组之间的分界线。\n" + ], + "metadata": { + "id": "kGZ22RQj_Olu" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make predictions for the test set\r\n", + "predictions <- lm_mod %>% \r\n", + " predict(new_data = diabetes_test)\r\n", + "\r\n", + "# Print out some of the predictions\r\n", + "predictions %>% \r\n", + " slice(1:5)" + ], + "outputs": [], + "metadata": { + "id": "nXHbY7M2_aao" + } + }, + { + "cell_type": "markdown", + "source": [ + "哇哦！💃🕺 我们刚刚训练了一个模型，并用它进行了预测！\n", + "\n", + "在进行预测时，tidymodels 的惯例是始终生成一个带有标准化列名的 tibble/数据框结果。这使得将原始数据和预测结果结合在一个可用的格式中变得非常简单，方便后续操作，例如绘图。\n", + "\n", + "`dplyr::bind_cols()` 可以高效地将多个数据框按列绑定在一起。\n" + ], + "metadata": { + "id": "R_JstwUY_bIs" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Combine the predictions and the original test set\r\n", + "results <- diabetes_test %>% \r\n", + " bind_cols(predictions)\r\n", + "\r\n", + "\r\n", + "results %>% \r\n", + " slice(1:5)" + ], + "outputs": [], + "metadata": { + "id": "RybsMJR7_iI8" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. 绘制模型结果\n", + "\n", + "现在是时候用视觉化方式来看结果了 📈。我们将创建一个散点图，展示测试集中的所有 `y` 和 `bmi` 值，然后使用预测结果绘制一条线，将模型的数据分组之间连接起来，放在最合适的位置。\n", + "\n", + "R 有多种绘图系统，但 `ggplot2` 是其中最优雅且最灵活的一个。它允许你通过**组合独立组件**来构建图表。\n" + ], + "metadata": { + "id": "XJbYbMZW_n_s" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Set a theme for the plot\r\n", + "theme_set(theme_light())\r\n", + "# Create a scatter plot\r\n", + "results %>% \r\n", + " ggplot(aes(x = bmi)) +\r\n", + " # Add a scatter plot\r\n", + " geom_point(aes(y = y), size = 1.6) +\r\n", + " # Add a line plot\r\n", + " geom_line(aes(y = .pred), color = \"blue\", size = 1.5)" + ], + "outputs": [], + "metadata": { + "id": "R9tYp3VW_sTn" + } + }, + { + "cell_type": "markdown", + "source": [ + "✅ 想一想这里发生了什么。一条直线穿过了许多小数据点，但它究竟在做什么呢？你能看出如何利用这条直线来预测一个新的、未见过的数据点应该如何与图表的 y 轴相关联吗？试着用语言描述这个模型的实际用途。\n", + "\n", + "恭喜你！你已经构建了第一个线性回归模型，用它进行了预测，并在图表中展示了结果！\n" + ], + "metadata": { + "id": "zrPtHIxx_tNI" + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/1-Tools/solution/notebook.ipynb b/translations/zh-CN/2-Regression/1-Tools/solution/notebook.ipynb new file mode 100644 index 000000000..def6e582b --- /dev/null +++ b/translations/zh-CN/2-Regression/1-Tools/solution/notebook.ipynb @@ -0,0 +1,677 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 糖尿病数据集的线性回归 - 第1课\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "导入所需的库\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from sklearn import datasets, linear_model, model_selection\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "加载糖尿病数据集，分为 `X` 数据和 `y` 特征\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(442, 10)\n", + "[ 0.03807591 0.05068012 0.06169621 0.02187239 -0.0442235 -0.03482076\n", + " -0.04340085 -0.00259226 0.01990749 -0.01764613]\n" + ] + } + ], + "source": [ + "X, y = datasets.load_diabetes(return_X_y=True)\n", + "print(X.shape)\n", + "print(X[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "仅选择一个功能作为此练习的目标\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(442,)\n" + ] + } + ], + "source": [ + "# Selecting the 3rd feature\n", + "X = X[:, 2]\n", + "print(X.shape)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(442, 1)\n", + "[[ 0.06169621]\n", + " [-0.05147406]\n", + " [ 0.04445121]\n", + " [-0.01159501]\n", + " [-0.03638469]\n", + " [-0.04069594]\n", + " [-0.04716281]\n", + " [-0.00189471]\n", + " [ 0.06169621]\n", + " [ 0.03906215]\n", + " [-0.08380842]\n", + " [ 0.01750591]\n", + " [-0.02884001]\n", + " [-0.00189471]\n", + " [-0.02560657]\n", + " [-0.01806189]\n", + " [ 0.04229559]\n", + " [ 0.01211685]\n", + " [-0.0105172 ]\n", + " [-0.01806189]\n", + " [-0.05686312]\n", + " [-0.02237314]\n", + " [-0.00405033]\n", + " [ 0.06061839]\n", + " [ 0.03582872]\n", + " [-0.01267283]\n", + " [-0.07734155]\n", + " [ 0.05954058]\n", + " [-0.02129532]\n", + " 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0.00133873]\n", + " [-0.02345095]\n", + " [-0.07410811]\n", + " [ 0.01966154]\n", + " [-0.01590626]\n", + " [-0.01590626]\n", + " [ 0.03906215]\n", + " [-0.0730303 ]]\n" + ] + } + ], + "source": [ + "#Reshaping to get a 2D array\n", + "X = X.reshape(-1, 1)\n", + "print(X.shape)\n", + "print(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "将训练和测试数据分别拆分为 `X` 和 `y`\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "选择模型并用训练数据进行拟合\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
LinearRegression()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "LinearRegression()" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model = linear_model.LinearRegression()\n", + "model.fit(X_train, y_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "使用测试数据预测一条线\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "y_pred = model.predict(X_test)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "显示结果在图中\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_test, y_test, color='black')\n", + "plt.plot(X_test, y_pred, color='blue', linewidth=3)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.1" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "16ff1a974f6e4348e869e4a7d366b86a", + "translation_date": "2025-09-03T19:39:45+00:00", + "source_file": "2-Regression/1-Tools/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/README.md b/translations/zh-CN/2-Regression/2-Data/README.md new file mode 100644 index 000000000..1b56a35dd --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/README.md @@ -0,0 +1,217 @@ +# 使用 Scikit-learn 构建回归模型：准备和可视化数据 + +![数据可视化信息图](../../../../2-Regression/2-Data/images/data-visualization.png) + +信息图作者：[Dasani Madipalli](https://twitter.com/dasani_decoded) + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +> ### [本课程也提供 R 版本！](../../../../2-Regression/2-Data/solution/R/lesson_2.html) + +## 简介 + +现在你已经准备好使用 Scikit-learn 开始构建机器学习模型，可以开始向数据提出问题了。在处理数据并应用机器学习解决方案时，了解如何提出正确的问题以充分挖掘数据的潜力非常重要。 + +在本课中，你将学习： + +- 如何为模型构建准备数据。 +- 如何使用 Matplotlib 进行数据可视化。 + +## 向数据提出正确的问题 + +你需要回答的问题将决定你使用哪种类型的机器学习算法。而你得到答案的质量将很大程度上取决于数据的性质。 + +看看为本课提供的[数据](https://github.com/microsoft/ML-For-Beginners/blob/main/2-Regression/data/US-pumpkins.csv)。你可以在 VS Code 中打开这个 .csv 文件。快速浏览会发现其中有空白值，还有字符串和数值数据的混合。此外，还有一个名为“Package”的奇怪列，其中的数据是“sacks”、“bins”和其他值的混合。事实上，这些数据有点混乱。 + +[![机器学习入门 - 如何分析和清理数据集](https://img.youtube.com/vi/5qGjczWTrDQ/0.jpg)](https://youtu.be/5qGjczWTrDQ "机器学习入门 - 如何分析和清理数据集") + +> 🎥 点击上方图片观看准备本课数据的简短视频。 + +事实上，很少会直接获得一个完全准备好用于创建机器学习模型的数据集。在本课中，你将学习如何使用标准 Python 库准备原始数据集。你还将学习各种数据可视化技术。 + +## 案例研究：“南瓜市场” + +在本文件夹中，你会发现根目录 `data` 文件夹中有一个名为 [US-pumpkins.csv](https://github.com/microsoft/ML-For-Beginners/blob/main/2-Regression/data/US-pumpkins.csv) 的 .csv 文件，其中包含关于南瓜市场的 1757 行数据，这些数据按城市分组。这是从美国农业部发布的[特种作物终端市场标准报告](https://www.marketnews.usda.gov/mnp/fv-report-config-step1?type=termPrice)中提取的原始数据。 + +### 准备数据 + +这些数据属于公共领域。可以从 USDA 网站按城市下载多个单独的文件。为了避免过多的单独文件，我们将所有城市数据合并到一个电子表格中，因此我们已经对数据进行了部分_准备_。接下来，让我们仔细看看这些数据。 + +### 南瓜数据 - 初步结论 + +你对这些数据有什么发现？你可能已经注意到其中有字符串、数字、空白和一些需要理解的奇怪值。 + +使用回归技术，你可以向这些数据提出什么问题？比如“预测某个月份出售南瓜的价格”。再次查看数据，你需要进行一些更改以创建适合任务的数据结构。 + +## 练习 - 分析南瓜数据 + +让我们使用 [Pandas](https://pandas.pydata.org/)（名称代表 `Python Data Analysis`），一个非常有用的数据处理工具，来分析和准备这些南瓜数据。 + +### 首先，检查缺失日期 + +你首先需要采取步骤检查是否有缺失日期： + +1. 将日期转换为月份格式（这些是美国日期，格式为 `MM/DD/YYYY`）。 +2. 提取月份到一个新列。 + +在 Visual Studio Code 中打开 _notebook.ipynb_ 文件，并将电子表格导入到一个新的 Pandas 数据框中。 + +1. 使用 `head()` 函数查看前五行。 + + ```python + import pandas as pd + pumpkins = pd.read_csv('../data/US-pumpkins.csv') + pumpkins.head() + ``` + + ✅ 你会使用什么函数来查看最后五行？ + +1. 检查当前数据框中是否有缺失数据： + + ```python + pumpkins.isnull().sum() + ``` + + 存在缺失数据，但可能对当前任务没有影响。 + +1. 为了让数据框更易于操作，使用 `loc` 函数选择你需要的列。`loc` 函数从原始数据框中提取一组行（作为第一个参数传递）和列（作为第二个参数传递）。下面的表达式 `:` 表示“所有行”。 + + ```python + columns_to_select = ['Package', 'Low Price', 'High Price', 'Date'] + pumpkins = pumpkins.loc[:, columns_to_select] + ``` + +### 其次，确定南瓜的平均价格 + +思考如何确定某个月份南瓜的平均价格。你会选择哪些列来完成这个任务？提示：你需要 3 列。 + +解决方案：取 `Low Price` 和 `High Price` 列的平均值来填充新的 Price 列，并将 Date 列转换为仅显示月份。幸运的是，根据上面的检查，日期和价格没有缺失数据。 + +1. 要计算平均值，添加以下代码： + + ```python + price = (pumpkins['Low Price'] + pumpkins['High Price']) / 2 + + month = pd.DatetimeIndex(pumpkins['Date']).month + + ``` + + ✅ 随时使用 `print(month)` 打印任何数据以进行检查。 + +2. 现在，将转换后的数据复制到一个新的 Pandas 数据框中： + + ```python + new_pumpkins = pd.DataFrame({'Month': month, 'Package': pumpkins['Package'], 'Low Price': pumpkins['Low Price'],'High Price': pumpkins['High Price'], 'Price': price}) + ``` + + 打印出你的数据框会显示一个干净整洁的数据集，你可以用它来构建新的回归模型。 + +### 等等！这里有些奇怪的地方 + +如果你查看 `Package` 列，南瓜以许多不同的配置出售。有些以“1 1/9 bushel”计量，有些以“1/2 bushel”计量，有些按南瓜个数出售，有些按磅出售，还有些以不同宽度的大箱子出售。 + +> 南瓜似乎很难一致地称重 + +深入研究原始数据，发现 `Unit of Sale` 等于 'EACH' 或 'PER BIN' 的数据，其 `Package` 类型也为每英寸、每箱或“每个”。南瓜似乎很难一致地称重，因此我们通过选择 `Package` 列中包含字符串 'bushel' 的南瓜来进行过滤。 + +1. 在文件顶部的初始 .csv 导入下添加过滤器： + + ```python + pumpkins = pumpkins[pumpkins['Package'].str.contains('bushel', case=True, regex=True)] + ``` + + 如果现在打印数据，你会发现只剩下约 415 行按 bushel 销售的南瓜数据。 + +### 等等！还有一件事要做 + +你是否注意到每行的 bushel 数量不同？你需要对价格进行标准化，以显示每 bushel 的价格，因此需要进行一些数学计算来统一标准。 + +1. 在创建 new_pumpkins 数据框的代码块后添加以下代码： + + ```python + new_pumpkins.loc[new_pumpkins['Package'].str.contains('1 1/9'), 'Price'] = price/(1 + 1/9) + + new_pumpkins.loc[new_pumpkins['Package'].str.contains('1/2'), 'Price'] = price/(1/2) + ``` + +✅ 根据 [The Spruce Eats](https://www.thespruceeats.com/how-much-is-a-bushel-1389308)，bushel 的重量取决于农产品的类型，因为它是一个体积测量单位。“例如，一 bushel 的番茄应该重 56 磅……叶子和绿叶占据更多空间但重量较轻，因此一 bushel 的菠菜只有 20 磅。”这非常复杂！我们不必进行 bushel 到磅的转换，而是按 bushel 定价。然而，所有这些关于南瓜 bushel 的研究表明，了解数据的性质是多么重要！ + +现在，你可以根据 bushel 测量分析每单位的定价。如果再打印一次数据，你会看到它已经标准化。 + +✅ 你是否注意到按半 bushel 销售的南瓜非常昂贵？你能找出原因吗？提示：小南瓜比大南瓜贵得多，可能是因为每 bushel 中小南瓜的数量更多，而大空心南瓜占据了更多未使用的空间。 + +## 可视化策略 + +数据科学家的部分职责是展示他们正在处理的数据的质量和性质。为此，他们通常会创建有趣的可视化，例如图表、图形和表格，展示数据的不同方面。通过这种方式，他们能够直观地展示关系和差距，这些关系和差距可能很难通过其他方式发现。 + +[![机器学习入门 - 如何使用 Matplotlib 可视化数据](https://img.youtube.com/vi/SbUkxH6IJo0/0.jpg)](https://youtu.be/SbUkxH6IJo0 "机器学习入门 - 如何使用 Matplotlib 可视化数据") + +> 🎥 点击上方图片观看本课数据可视化的简短视频。 + +可视化还可以帮助确定最适合数据的机器学习技术。例如，一个看起来沿着一条线分布的散点图表明数据非常适合线性回归练习。 + +一个在 Jupyter 笔记本中表现良好的数据可视化库是 [Matplotlib](https://matplotlib.org/)（你在上一课中也见过它）。 + +> 在[这些教程](https://docs.microsoft.com/learn/modules/explore-analyze-data-with-python?WT.mc_id=academic-77952-leestott)中获得更多数据可视化经验。 + +## 练习 - 试验 Matplotlib + +尝试创建一些基本图表来显示你刚刚创建的新数据框。基本折线图会显示什么？ + +1. 在文件顶部的 Pandas 导入下导入 Matplotlib： + + ```python + import matplotlib.pyplot as plt + ``` + +1. 重新运行整个笔记本以刷新。 +1. 在笔记本底部添加一个单元格，将数据绘制为一个框图： + + ```python + price = new_pumpkins.Price + month = new_pumpkins.Month + plt.scatter(price, month) + plt.show() + ``` + + ![一个显示价格与月份关系的散点图](../../../../2-Regression/2-Data/images/scatterplot.png) + + 这是一个有用的图表吗？它是否让你感到惊讶？ + + 它并不是特别有用，因为它只是显示了某个月份的数据点分布。 + +### 让它更有用 + +为了让图表显示有用的数据，你通常需要以某种方式对数据进行分组。让我们尝试创建一个图表，其中 y 轴显示月份，数据展示数据的分布。 + +1. 添加一个单元格以创建分组柱状图： + + ```python + new_pumpkins.groupby(['Month'])['Price'].mean().plot(kind='bar') + plt.ylabel("Pumpkin Price") + ``` + + ![一个显示价格与月份关系的柱状图](../../../../2-Regression/2-Data/images/barchart.png) + + 这是一个更有用的数据可视化！它似乎表明南瓜的最高价格出现在九月和十月。这符合你的预期吗？为什么？ + +--- + +## 🚀挑战 + +探索 Matplotlib 提供的不同类型的可视化。哪些类型最适合回归问题？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +看看可视化数据的各种方法。列出可用的各种库，并记录哪些库最适合特定类型的任务，例如 2D 可视化与 3D 可视化。你发现了什么？ + +## 作业 + +[探索可视化](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/assignment.md b/translations/zh-CN/2-Regression/2-Data/assignment.md new file mode 100644 index 000000000..aa863f272 --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/assignment.md @@ -0,0 +1,14 @@ +# 探索可视化 + +有许多不同的库可用于数据可视化。在本课中使用南瓜数据，在示例笔记本中使用 matplotlib 和 seaborn 创建一些可视化。哪些库更容易使用？ + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | --------- | -------- | ----------------- | +| | 提交的笔记本包含两个探索/可视化 | 提交的笔记本包含一个探索/可视化 | 未提交笔记本 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/notebook.ipynb b/translations/zh-CN/2-Regression/2-Data/notebook.ipynb new file mode 100644 index 000000000..4746353e3 --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/notebook.ipynb @@ -0,0 +1,46 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.3-final" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3", + "language": "python" + }, + "coopTranslator": { + "original_hash": "1b2ab303ac6c604a34c6ca7a49077fc7", + "translation_date": "2025-09-03T19:44:44+00:00", + "source_file": "2-Regression/2-Data/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/solution/Julia/README.md b/translations/zh-CN/2-Regression/2-Data/solution/Julia/README.md new file mode 100644 index 000000000..f30fc4eeb --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/solution/R/lesson_2-R.ipynb b/translations/zh-CN/2-Regression/2-Data/solution/R/lesson_2-R.ipynb new file mode 100644 index 000000000..9cb696e33 --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/solution/R/lesson_2-R.ipynb @@ -0,0 +1,670 @@ +{ + "nbformat": 4, + "nbformat_minor": 2, + "metadata": { + "colab": { + "name": "lesson_2-R.ipynb", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "f3c335f9940cfd76528b3ef918b9b342", + "translation_date": "2025-09-03T19:50:05+00:00", + "source_file": "2-Regression/2-Data/solution/R/lesson_2-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 构建回归模型：准备和可视化数据\n", + "\n", + "## **南瓜线性回归 - 第二课**\n", + "#### 介绍\n", + "\n", + "现在你已经准备好了使用Tidymodels和Tidyverse来构建机器学习模型的工具，可以开始对数据提出问题了。在处理数据并应用机器学习解决方案时，正确提出问题以充分挖掘数据的潜力是非常重要的。\n", + "\n", + "在本课中，你将学习：\n", + "\n", + "- 如何为模型构建准备数据。\n", + "\n", + "- 如何使用`ggplot2`进行数据可视化。\n", + "\n", + "你需要回答的问题将决定你使用哪种类型的机器学习算法。而你得到的答案质量将很大程度上取决于数据的性质。\n", + "\n", + "让我们通过一个实际练习来看看这一点。\n", + "\n", + "

\n", + " \n", + "

艺术作品由 @allison_horst 提供
\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "Pg5aexcOPqAZ" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. 导入南瓜数据并召唤 Tidyverse\n", + "\n", + "我们需要以下软件包来完成本课程的分析和处理：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个 [R 软件包集合](https://www.tidyverse.org/packages)，旨在让数据科学更快速、更简单、更有趣！\n", + "\n", + "你可以通过以下方式安装它们：\n", + "\n", + "`install.packages(c(\"tidyverse\"))`\n", + "\n", + "下面的脚本会检查你是否已经安装了完成本模块所需的软件包，并在缺少时为你安装它们。\n" + ], + "metadata": { + "id": "dc5WhyVdXAjR" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "suppressWarnings(if(!require(\"pacman\")) install.packages(\"pacman\"))\n", + "pacman::p_load(tidyverse)" + ], + "outputs": [], + "metadata": { + "id": "GqPYUZgfXOBt" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在，让我们启动一些软件包并加载为本课程提供的[数据](https://github.com/microsoft/ML-For-Beginners/blob/main/2-Regression/data/US-pumpkins.csv)！\n" + ], + "metadata": { + "id": "kvjDTPDSXRr2" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load the core Tidyverse packages\n", + "library(tidyverse)\n", + "\n", + "# Import the pumpkins data\n", + "pumpkins <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/2-Regression/data/US-pumpkins.csv\")\n", + "\n", + "\n", + "# Get a glimpse and dimensions of the data\n", + "glimpse(pumpkins)\n", + "\n", + "\n", + "# Print the first 50 rows of the data set\n", + "pumpkins %>% \n", + " slice_head(n =50)" + ], + "outputs": [], + "metadata": { + "id": "VMri-t2zXqgD" + } + }, + { + "cell_type": "markdown", + "source": [ + "一个快速的 `glimpse()` 立即显示出数据中存在空值，并且混合了字符串 (`chr`) 和数值数据 (`dbl`)。`Date` 是字符类型，还有一个奇怪的列叫做 `Package`，其中数据是 `sacks`、`bins` 和其他值的混合。事实上，这些数据有点乱 😤。\n", + "\n", + "实际上，很少会直接获得一个完全准备好用于创建机器学习模型的数据集。但别担心，在本节课中，你将学习如何使用标准的 R 库来准备一个原始数据集 🧑‍🔧。你还将学习各种技术来可视化数据。📈📊\n", + "
\n", + "\n", + "> 温故知新：管道操作符 (`%>%`) 按逻辑顺序执行操作，将一个对象向前传递到函数或调用表达式中。你可以将管道操作符理解为代码中的“然后”。\n" + ], + "metadata": { + "id": "REWcIv9yX29v" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. 检查缺失数据\n", + "\n", + "数据科学家经常需要处理的一个常见问题是数据不完整或缺失。R使用特殊的哨兵值`NA`（Not Available）来表示缺失或未知的值。\n", + "\n", + "那么我们如何知道数据框中是否包含缺失值呢？\n", + "
\n", + "- 一个直接的方法是使用R的基础函数`anyNA`，它会返回逻辑对象`TRUE`或`FALSE`\n" + ], + "metadata": { + "id": "Zxfb3AM5YbUe" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "pumpkins %>% \n", + " anyNA()" + ], + "outputs": [], + "metadata": { + "id": "G--DQutAYltj" + } + }, + { + "cell_type": "markdown", + "source": [ + "太好了，看来有一些数据缺失！这是一个不错的起点。\n", + "\n", + "- 另一种方法是使用函数 `is.na()`，它通过逻辑值 `TRUE` 来指示哪些单个列元素是缺失的。\n" + ], + "metadata": { + "id": "mU-7-SB6YokF" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "pumpkins %>% \n", + " is.na() %>% \n", + " head(n = 7)" + ], + "outputs": [], + "metadata": { + "id": "W-DxDOR4YxSW" + } + }, + { + "cell_type": "markdown", + "source": [ + "对于如此大的数据框，逐行逐列地检查显然效率低下，几乎不可能完成😴。\n", + "\n", + "- 更直观的方法是计算每列中缺失值的总和：\n" + ], + "metadata": { + "id": "xUWxipKYY0o7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "pumpkins %>% \n", + " is.na() %>% \n", + " colSums()" + ], + "outputs": [], + "metadata": { + "id": "ZRBWV6P9ZArL" + } + }, + { + "cell_type": "markdown", + "source": [ + "更棒了！虽然有些数据缺失，但可能对当前任务影响不大。让我们看看进一步的分析会带来什么结果。\n", + "\n", + "> 除了强大的包和函数集合，R 还拥有非常优秀的文档支持。例如，可以使用 `help(colSums)` 或 `?colSums` 来了解更多关于该函数的信息。\n" + ], + "metadata": { + "id": "9gv-crB6ZD1Y" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Dplyr：数据操作的语法\n", + "\n", + "

\n", + " \n", + "

插图作者：@allison_horst
\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "o4jLY5-VZO2C" + } + }, + { + "cell_type": "markdown", + "source": [ + "[`dplyr`](https://dplyr.tidyverse.org/) 是 Tidyverse 中的一个包，它是一种数据操作的语法，提供了一组一致的动词，帮助你解决最常见的数据操作问题。在本节中，我们将探索一些 dplyr 的动词！ \n", + "
\n" + ], + "metadata": { + "id": "i5o33MQBZWWw" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### dplyr::select()\n", + "\n", + "`select()` 是 `dplyr` 包中的一个函数，用于选择保留或排除特定的列。\n", + "\n", + "为了让数据框更易于操作，可以使用 `select()` 删除一些列，仅保留你需要的列。\n", + "\n", + "例如，在这个练习中，我们的分析将涉及 `Package`、`Low Price`、`High Price` 和 `Date` 这些列。让我们选择这些列吧。\n" + ], + "metadata": { + "id": "x3VGMAGBZiUr" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Select desired columns\n", + "pumpkins <- pumpkins %>% \n", + " select(Package, `Low Price`, `High Price`, Date)\n", + "\n", + "\n", + "# Print data set\n", + "pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "F_FgxQnVZnM0" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### dplyr::mutate()\n", + "\n", + "`mutate()` 是 `dplyr` 包中的一个函数，用于创建或修改列，同时保留现有的列。\n", + "\n", + "`mutate` 的一般结构是：\n", + "\n", + "`data %>% mutate(new_column_name = what_it_contains)`\n", + "\n", + "让我们通过以下操作来尝试使用 `mutate` 对 `Date` 列进行处理：\n", + "\n", + "1. 将日期（目前是字符类型）转换为月份格式（这些是美国日期格式，因此格式为 `MM/DD/YYYY`）。\n", + "\n", + "2. 从日期中提取月份到一个新列。\n", + "\n", + "在 R 中，[lubridate](https://lubridate.tidyverse.org/) 包可以更轻松地处理日期时间数据。因此，让我们使用 `dplyr::mutate()`、`lubridate::mdy()` 和 `lubridate::month()` 来实现上述目标。我们可以删除 `Date` 列，因为在后续操作中不再需要它。\n" + ], + "metadata": { + "id": "2KKo0Ed9Z1VB" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load lubridate\n", + "library(lubridate)\n", + "\n", + "pumpkins <- pumpkins %>% \n", + " # Convert the Date column to a date object\n", + " mutate(Date = mdy(Date)) %>% \n", + " # Extract month from Date\n", + " mutate(Month = month(Date)) %>% \n", + " # Drop Date column\n", + " select(-Date)\n", + "\n", + "# View the first few rows\n", + "pumpkins %>% \n", + " slice_head(n = 7)" + ], + "outputs": [], + "metadata": { + "id": "5joszIVSZ6xe" + } + }, + { + "cell_type": "markdown", + "source": [ + "哇哦！🤩\n", + "\n", + "接下来，让我们创建一个新的列 `Price`，表示南瓜的平均价格。现在，我们将 `Low Price` 和 `High Price` 列的平均值计算出来，用来填充新的 Price 列。\n", + "
\n" + ], + "metadata": { + "id": "nIgLjNMCZ-6Y" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Create a new column Price\n", + "pumpkins <- pumpkins %>% \n", + " mutate(Price = (`Low Price` + `High Price`)/2)\n", + "\n", + "# View the first few rows of the data\n", + "pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "Zo0BsqqtaJw2" + } + }, + { + "cell_type": "markdown", + "source": [ + "耶！💪\n", + "\n", + "“等等！”你可能会在用 `View(pumpkins)` 浏览整个数据集后说，“这里有点奇怪！”🤔\n", + "\n", + "如果你查看 `Package` 列，会发现南瓜是以多种不同的方式出售的。有些是按 `1 1/9 蒲式耳` 计量出售的，有些是按 `1/2 蒲式耳` 计量出售的，有些是按个数出售的，有些是按重量（磅）出售的，还有一些是装在宽度各异的大箱子里出售的。\n", + "\n", + "让我们来验证一下：\n" + ], + "metadata": { + "id": "p77WZr-9aQAR" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Verify the distinct observations in Package column\n", + "pumpkins %>% \n", + " distinct(Package)" + ], + "outputs": [], + "metadata": { + "id": "XISGfh0IaUy6" + } + }, + { + "cell_type": "markdown", + "source": [ + "太棒了！👏\n", + "\n", + "南瓜似乎很难保持一致的称重，因此我们可以通过筛选 `Package` 列中包含字符串 *bushel* 的南瓜来过滤它们，并将结果放入一个新的数据框 `new_pumpkins` 中。\n" + ], + "metadata": { + "id": "7sMjiVujaZxY" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### dplyr::filter() 和 stringr::str_detect()\n", + "\n", + "[`dplyr::filter()`](https://dplyr.tidyverse.org/reference/filter.html)：创建一个数据子集，仅包含满足条件的**行**，在本例中是 `Package` 列中包含字符串 *bushel* 的南瓜。\n", + "\n", + "[stringr::str_detect()](https://stringr.tidyverse.org/reference/str_detect.html)：检测字符串中是否存在某个模式。\n", + "\n", + "[`stringr`](https://github.com/tidyverse/stringr) 包提供了用于常见字符串操作的简单函数。\n" + ], + "metadata": { + "id": "L8Qfcs92ageF" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Retain only pumpkins with \"bushel\"\n", + "new_pumpkins <- pumpkins %>% \n", + " filter(str_detect(Package, \"bushel\"))\n", + "\n", + "# Get the dimensions of the new data\n", + "dim(new_pumpkins)\n", + "\n", + "# View a few rows of the new data\n", + "new_pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "hy_SGYREampd" + } + }, + { + "cell_type": "markdown", + "source": [ + "你可以看到我们已经缩小到大约415行左右的数据，这些数据包含了按蒲式耳计算的南瓜。🤩 \n" + ], + "metadata": { + "id": "VrDwF031avlR" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### dplyr::case_when()\n", + "\n", + "**但等等！还有一件事要做**\n", + "\n", + "你是否注意到每行的蒲式耳数量是不同的？你需要将价格标准化，以显示每蒲式耳的价格，而不是每1 1/9或1/2蒲式耳的价格。是时候做一些数学运算来进行标准化了。\n", + "\n", + "我们将使用函数[`case_when()`](https://dplyr.tidyverse.org/reference/case_when.html)根据一些条件来*变更*价格列的值。`case_when`允许你将多个`if_else()`语句向量化处理。\n" + ], + "metadata": { + "id": "mLpw2jH4a0tx" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Convert the price if the Package contains fractional bushel values\n", + "new_pumpkins <- new_pumpkins %>% \n", + " mutate(Price = case_when(\n", + " str_detect(Package, \"1 1/9\") ~ Price/(1 + 1/9),\n", + " str_detect(Package, \"1/2\") ~ Price/(1/2),\n", + " TRUE ~ Price))\n", + "\n", + "# View the first few rows of the data\n", + "new_pumpkins %>% \n", + " slice_head(n = 30)" + ], + "outputs": [], + "metadata": { + "id": "P68kLVQmbM6I" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在，我们可以根据蒲式耳的测量来分析每单位的定价。然而，所有这些关于南瓜蒲式耳的研究都表明，`了解数据的本质`是多么`重要`！\n", + "\n", + "> ✅ 根据 [The Spruce Eats](https://www.thespruceeats.com/how-much-is-a-bushel-1389308)，蒲式耳的重量取决于农产品的类型，因为它是一种体积测量单位。“例如，一个番茄的蒲式耳应该重56磅……叶类和绿叶蔬菜占据更多空间但重量较轻，所以一个菠菜的蒲式耳只有20磅。”这真的很复杂！我们不必费心将蒲式耳转换为磅，而是直接按蒲式耳定价。然而，所有这些关于南瓜蒲式耳的研究都表明，了解数据的本质是多么重要！\n", + "\n", + "> ✅ 你注意到按半蒲式耳出售的南瓜非常贵吗？你能找出原因吗？提示：小南瓜比大南瓜贵得多，可能是因为每蒲式耳的小南瓜数量更多，而一个大的空心派南瓜占据了更多未使用的空间。\n" + ], + "metadata": { + "id": "pS2GNPagbSdb" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在最后，为了冒险的乐趣 💁‍♀️，我们还将“Month”列移动到第一个位置，也就是在“Package”列之前。\n", + "\n", + "`dplyr::relocate()` 用于更改列的位置。\n" + ], + "metadata": { + "id": "qql1SowfbdnP" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Create a new data frame new_pumpkins\n", + "new_pumpkins <- new_pumpkins %>% \n", + " relocate(Month, .before = Package)\n", + "\n", + "new_pumpkins %>% \n", + " slice_head(n = 7)" + ], + "outputs": [], + "metadata": { + "id": "JJ1x6kw8bixF" + } + }, + { + "cell_type": "markdown", + "source": [ + "干得好！👌 现在你有一个干净整洁的数据集，可以用来构建新的回归模型！ \n" + ], + "metadata": { + "id": "y8TJ0Za_bn5Y" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. 使用 ggplot2 进行数据可视化\n", + "\n", + "

\n", + " \n", + "

信息图表作者：Dasani Madipalli
\n", + "\n", + "\n", + "\n", + "\n", + "有一句*智慧*的名言是这样说的：\n", + "\n", + "> “简单的图表比任何其他工具都能为数据分析师带来更多的信息。” --- John Tukey\n", + "\n", + "数据科学家的职责之一是展示他们所处理数据的质量和特性。为此，他们通常会创建有趣的可视化内容，比如图表、折线图和柱状图，来展示数据的不同方面。通过这种方式，他们能够直观地展示数据中的关系和差距，这些信息通常难以通过其他方式发现。\n", + "\n", + "可视化还可以帮助确定最适合数据的机器学习技术。例如，一个看起来沿着直线分布的散点图表明该数据非常适合线性回归分析。\n", + "\n", + "R 提供了多种绘图系统，而 [`ggplot2`](https://ggplot2.tidyverse.org/index.html) 是其中最优雅且最灵活的一个。`ggplot2` 允许你通过**组合独立组件**来构建图表。\n", + "\n", + "我们先从一个简单的散点图开始，展示 Price 和 Month 列的数据。\n", + "\n", + "在这个例子中，我们将从 [`ggplot()`](https://ggplot2.tidyverse.org/reference/ggplot.html) 开始，提供一个数据集和美学映射（使用 [`aes()`](https://ggplot2.tidyverse.org/reference/aes.html)），然后添加图层（例如用于散点图的 [`geom_point()`](https://ggplot2.tidyverse.org/reference/geom_point.html)）。\n" + ], + "metadata": { + "id": "mYSH6-EtbvNa" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Set a theme for the plots\n", + "theme_set(theme_light())\n", + "\n", + "# Create a scatter plot\n", + "p <- ggplot(data = new_pumpkins, aes(x = Price, y = Month))\n", + "p + geom_point()" + ], + "outputs": [], + "metadata": { + "id": "g2YjnGeOcLo4" + } + }, + { + "cell_type": "markdown", + "source": [ + "这个图表有用吗🤷？有没有什么让你感到惊讶的地方？\n", + "\n", + "它并不是特别有用，因为它只是将你的数据以某个月的点状分布显示出来。\n", + "
\n" + ], + "metadata": { + "id": "Ml7SDCLQcPvE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### **如何让它更有用？**\n", + "\n", + "为了让图表显示有用的数据，通常需要以某种方式对数据进行分组。例如，在我们的案例中，计算每个月南瓜的平均价格可以为数据中的潜在模式提供更多洞察。这引导我们了解另一个 **dplyr** 的功能：\n", + "\n", + "#### `dplyr::group_by() %>% summarize()`\n", + "\n", + "在 R 中可以轻松计算分组聚合：\n", + "\n", + "`dplyr::group_by() %>% summarize()`\n", + "\n", + "- `dplyr::group_by()` 将分析单位从整个数据集更改为单个组，例如按月分组。\n", + "\n", + "- `dplyr::summarize()` 创建一个新的数据框，其中每个分组变量有一列，以及每个指定的汇总统计量有一列。\n", + "\n", + "例如，我们可以使用 `dplyr::group_by() %>% summarize()` 将南瓜按 **Month** 列分组，然后计算每个月的 **平均价格**。\n" + ], + "metadata": { + "id": "jMakvJZIcVkh" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Find the average price of pumpkins per month\r\n", + "new_pumpkins %>%\r\n", + " group_by(Month) %>% \r\n", + " summarise(mean_price = mean(Price))" + ], + "outputs": [], + "metadata": { + "id": "6kVSUa2Bcilf" + } + }, + { + "cell_type": "markdown", + "source": [ + "简洁明了！✨\n", + "\n", + "像月份这样的分类特征更适合用柱状图来表示 📊。负责绘制柱状图的图层是 `geom_bar()` 和 `geom_col()`。查看 `?geom_bar` 以了解更多信息。\n", + "\n", + "让我们来试试吧！\n" + ], + "metadata": { + "id": "Kds48GUBcj3W" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Find the average price of pumpkins per month then plot a bar chart\r\n", + "new_pumpkins %>%\r\n", + " group_by(Month) %>% \r\n", + " summarise(mean_price = mean(Price)) %>% \r\n", + " ggplot(aes(x = Month, y = mean_price)) +\r\n", + " geom_col(fill = \"midnightblue\", alpha = 0.7) +\r\n", + " ylab(\"Pumpkin Price\")" + ], + "outputs": [], + "metadata": { + "id": "VNbU1S3BcrxO" + } + }, + { + "cell_type": "markdown", + "source": [ + "🤩🤩这是一个更有用的数据可视化！它似乎表明南瓜的最高价格出现在九月和十月。这符合你的预期吗？为什么符合或不符合？\n", + "\n", + "恭喜你完成了第二课 👏！你已经为模型构建准备好了数据，并通过可视化发现了更多的洞察！\n" + ], + "metadata": { + "id": "zDm0VOzzcuzR" + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/2-Data/solution/notebook.ipynb b/translations/zh-CN/2-Regression/2-Data/solution/notebook.ipynb new file mode 100644 index 000000000..3e189f692 --- /dev/null +++ b/translations/zh-CN/2-Regression/2-Data/solution/notebook.ipynb @@ -0,0 +1,437 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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City NameTypePackageVarietySub VarietyGradeDateLow PriceHigh PriceMostly Low...Unit of SaleQualityConditionAppearanceStorageCropRepackTrans ModeUnnamed: 24Unnamed: 25
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\n", + "
" + ], + "text/plain": [ + " City Name Type Package Variety Sub Variety Grade \\\n", + "70 BALTIMORE NaN 1 1/9 bushel cartons PIE TYPE NaN NaN \n", + "71 BALTIMORE NaN 1 1/9 bushel cartons PIE TYPE NaN NaN \n", + "72 BALTIMORE NaN 1 1/9 bushel cartons PIE TYPE NaN NaN \n", + "73 BALTIMORE NaN 1 1/9 bushel cartons PIE TYPE NaN NaN \n", + "74 BALTIMORE NaN 1 1/9 bushel cartons PIE TYPE NaN NaN \n", + "\n", + " Date Low Price High Price Mostly Low ... Unit of Sale Quality \\\n", + "70 9/24/16 15.0 15.0 15.0 ... NaN NaN \n", + "71 9/24/16 18.0 18.0 18.0 ... NaN NaN \n", + "72 10/1/16 18.0 18.0 18.0 ... NaN NaN \n", + "73 10/1/16 17.0 17.0 17.0 ... NaN NaN \n", + "74 10/8/16 15.0 15.0 15.0 ... NaN NaN \n", + "\n", + " Condition Appearance Storage Crop Repack Trans Mode Unnamed: 24 \\\n", + "70 NaN NaN NaN NaN N NaN NaN \n", + "71 NaN NaN NaN NaN N NaN NaN \n", + "72 NaN NaN NaN NaN N NaN NaN \n", + "73 NaN NaN NaN NaN N NaN NaN \n", + "74 NaN NaN NaN NaN N NaN NaN \n", + "\n", + " Unnamed: 25 \n", + "70 NaN \n", + "71 NaN \n", + "72 NaN \n", + "73 NaN \n", + "74 NaN \n", + "\n", + "[5 rows x 26 columns]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "pumpkins = pd.read_csv('../../data/US-pumpkins.csv')\n", + "\n", + "pumpkins = pumpkins[pumpkins['Package'].str.contains('bushel', case=True, regex=True)]\n", + "\n", + "pumpkins.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "City Name 0\n", + "Type 406\n", + "Package 0\n", + "Variety 0\n", + "Sub Variety 167\n", + "Grade 415\n", + "Date 0\n", + "Low Price 0\n", + "High Price 0\n", + "Mostly Low 24\n", + "Mostly High 24\n", + "Origin 0\n", + "Origin District 396\n", + "Item Size 114\n", + "Color 145\n", + "Environment 415\n", + "Unit of Sale 404\n", + "Quality 415\n", + "Condition 415\n", + "Appearance 415\n", + "Storage 415\n", + "Crop 415\n", + "Repack 0\n", + "Trans Mode 415\n", + "Unnamed: 24 415\n", + "Unnamed: 25 391\n", + "dtype: int64" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pumpkins.isnull().sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Month Package Low Price High Price Price\n", + "70 9 1 1/9 bushel cartons 15.00 15.0 13.50\n", + "71 9 1 1/9 bushel cartons 18.00 18.0 16.20\n", + "72 10 1 1/9 bushel cartons 18.00 18.0 16.20\n", + "73 10 1 1/9 bushel cartons 17.00 17.0 15.30\n", + "74 10 1 1/9 bushel cartons 15.00 15.0 13.50\n", + "... ... ... ... ... ...\n", + "1738 9 1/2 bushel cartons 15.00 15.0 30.00\n", + "1739 9 1/2 bushel cartons 13.75 15.0 28.75\n", + "1740 9 1/2 bushel cartons 10.75 15.0 25.75\n", + "1741 9 1/2 bushel cartons 12.00 12.0 24.00\n", + "1742 9 1/2 bushel cartons 12.00 12.0 24.00\n", + "\n", + "[415 rows x 5 columns]\n" + ] + } + ], + "source": [ + "\n", + "# A set of new columns for a new dataframe. Filter out nonmatching columns\n", + "columns_to_select = ['Package', 'Low Price', 'High Price', 'Date']\n", + "pumpkins = pumpkins.loc[:, columns_to_select]\n", + "\n", + "# Get an average between low and high price for the base pumpkin price\n", + "price = (pumpkins['Low Price'] + pumpkins['High Price']) / 2\n", + "\n", + "# Convert the date to its month only\n", + "month = pd.DatetimeIndex(pumpkins['Date']).month\n", + "\n", + "# Create a new dataframe with this basic data\n", + "new_pumpkins = pd.DataFrame({'Month': month, 'Package': pumpkins['Package'], 'Low Price': pumpkins['Low Price'],'High Price': pumpkins['High Price'], 'Price': price})\n", + "\n", + "# Convert the price if the Package contains fractional bushel values\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1 1/9'), 'Price'] = price/(1 + 1/9)\n", + "\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1/2'), 'Price'] = price/(1/2)\n", + "\n", + "print(new_pumpkins)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "price = new_pumpkins.Price\n", + "month = new_pumpkins.Month\n", + "plt.scatter(price, month)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Pumpkin Price')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "new_pumpkins.groupby(['Month'])['Price'].mean().plot(kind='bar')\n", + "plt.ylabel(\"Pumpkin Price\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + }, + "kernelspec": { + "display_name": "Python 3.7.0 64-bit ('3.7')", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.1" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "95726f0b8283628d5356a4f8eb8b4b76", + "translation_date": "2025-09-03T19:45:01+00:00", + "source_file": "2-Regression/2-Data/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/README.md b/translations/zh-CN/2-Regression/3-Linear/README.md new file mode 100644 index 000000000..607e1e518 --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/README.md @@ -0,0 +1,373 @@ +# 使用 Scikit-learn 构建回归模型：四种回归方法 + +![线性回归与多项式回归信息图](../../../../2-Regression/3-Linear/images/linear-polynomial.png) +> 信息图由 [Dasani Madipalli](https://twitter.com/dasani_decoded) 提供 +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +> ### [本课程也提供 R 版本！](../../../../2-Regression/3-Linear/solution/R/lesson_3.html) +### 介绍 + +到目前为止，您已经通过南瓜定价数据集的样本数据了解了什么是回归，并使用 Matplotlib 对其进行了可视化。 + +现在，您可以深入学习机器学习中的回归。虽然可视化可以帮助您理解数据，但机器学习的真正力量在于_训练模型_。模型通过历史数据进行训练，自动捕捉数据之间的依赖关系，并能够预测模型未见过的新数据的结果。 + +在本课程中，您将进一步了解两种回归类型：_基本线性回归_和_多项式回归_，以及这些技术背后的部分数学原理。这些模型将帮助我们根据不同的输入数据预测南瓜价格。 + +[![机器学习入门 - 理解线性回归](https://img.youtube.com/vi/CRxFT8oTDMg/0.jpg)](https://youtu.be/CRxFT8oTDMg "机器学习入门 - 理解线性回归") + +> 🎥 点击上方图片观看关于线性回归的简短视频概述。 + +> 在整个课程中，我们假设学生的数学知识较少，并努力使内容对来自其他领域的学生更易理解，因此请注意笔记、🧮 数学提示、图表和其他学习工具，以帮助理解。 + +### 前置知识 + +到目前为止，您应该已经熟悉我们正在研究的南瓜数据的结构。您可以在本课程的_notebook.ipynb_文件中找到预加载和预清理的数据。在文件中，南瓜价格以蒲式耳为单位显示在一个新的数据框中。确保您可以在 Visual Studio Code 的内核中运行这些笔记本。 + +### 准备工作 + +提醒一下，您正在加载这些数据以便提出问题： + +- 什么时候是购买南瓜的最佳时机？ +- 我可以预期一箱迷你南瓜的价格是多少？ +- 我应该购买半蒲式耳篮子还是 1 1/9 蒲式耳箱？ + +让我们继续深入挖掘这些数据。 + +在上一课中，您创建了一个 Pandas 数据框，并用原始数据集的一部分填充它，将价格标准化为蒲式耳单位。然而，通过这样做，您只能收集到大约 400 个数据点，并且仅限于秋季月份。 + +查看本课程附带笔记本中预加载的数据。数据已预加载，并绘制了初始散点图以显示月份数据。也许通过进一步清理数据，我们可以更详细地了解数据的性质。 + +## 线性回归线 + +正如您在第一课中所学，线性回归的目标是绘制一条线以： + +- **显示变量关系**。展示变量之间的关系 +- **进行预测**。准确预测新数据点在该线上的位置 + +通常使用**最小二乘回归**来绘制这种类型的线。“最小二乘”意味着围绕回归线的所有数据点的误差平方后相加。理想情况下，最终的总和越小越好，因为我们希望误差较少，即`最小二乘`。 + +我们这样做是因为我们希望建模一条与所有数据点的累计距离最小的线。我们在相加之前对误差进行平方，因为我们关心的是误差的大小而不是方向。 + +> **🧮 数学展示** +> +> 这条线，称为_最佳拟合线_，可以通过[一个公式](https://en.wikipedia.org/wiki/Simple_linear_regression)表示： +> +> ``` +> Y = a + bX +> ``` +> +> `X` 是“解释变量”。`Y` 是“因变量”。线的斜率是 `b`，而 `a` 是 y 截距，表示当 `X = 0` 时 `Y` 的值。 +> +>![计算斜率](../../../../2-Regression/3-Linear/images/slope.png) +> +> 首先，计算斜率 `b`。信息图由 [Jen Looper](https://twitter.com/jenlooper) 提供 +> +> 换句话说，参考我们南瓜数据的原始问题：“根据月份预测每蒲式耳南瓜的价格”，`X` 表示价格，`Y` 表示销售月份。 +> +>![完成公式](../../../../2-Regression/3-Linear/images/calculation.png) +> +> 计算 `Y` 的值。如果您支付大约 $4，那一定是四月！信息图由 [Jen Looper](https://twitter.com/jenlooper) 提供 +> +> 计算线的数学公式必须展示线的斜率，这也取决于截距，即当 `X = 0` 时 `Y` 的位置。 +> +> 您可以在 [Math is Fun](https://www.mathsisfun.com/data/least-squares-regression.html) 网站上观察这些值的计算方法。还可以访问[最小二乘计算器](https://www.mathsisfun.com/data/least-squares-calculator.html)，观察数值如何影响线的形状。 + +## 相关性 + +另一个需要理解的术语是给定 X 和 Y 变量之间的**相关系数**。使用散点图，您可以快速可视化该系数。数据点整齐排列成一条线的图具有高相关性，而数据点在 X 和 Y 之间随意分布的图具有低相关性。 + +一个好的线性回归模型应该是使用最小二乘回归方法和回归线时，相关系数接近 1（而不是 0）。 + +✅ 运行本课程附带的笔记本，查看月份与价格的散点图。根据您对散点图的视觉解释，南瓜销售的月份与价格之间的数据相关性是高还是低？如果您使用更细化的度量（例如*一年中的天数*，即从年初开始的天数），相关性是否会发生变化？ + +在下面的代码中，我们假设已经清理了数据，并获得了一个名为 `new_pumpkins` 的数据框，类似于以下内容： + +ID | Month | DayOfYear | Variety | City | Package | Low Price | High Price | Price +---|-------|-----------|---------|------|---------|-----------|------------|------- +70 | 9 | 267 | PIE TYPE | BALTIMORE | 1 1/9 bushel cartons | 15.0 | 15.0 | 13.636364 +71 | 9 | 267 | PIE TYPE | BALTIMORE | 1 1/9 bushel cartons | 18.0 | 18.0 | 16.363636 +72 | 10 | 274 | PIE TYPE | BALTIMORE | 1 1/9 bushel cartons | 18.0 | 18.0 | 16.363636 +73 | 10 | 274 | PIE TYPE | BALTIMORE | 1 1/9 bushel cartons | 17.0 | 17.0 | 15.454545 +74 | 10 | 281 | PIE TYPE | BALTIMORE | 1 1/9 bushel cartons | 15.0 | 15.0 | 13.636364 + +> 清理数据的代码可在 [`notebook.ipynb`](../../../../2-Regression/3-Linear/notebook.ipynb) 中找到。我们执行了与上一课相同的清理步骤，并使用以下表达式计算了 `DayOfYear` 列： + +```python +day_of_year = pd.to_datetime(pumpkins['Date']).apply(lambda dt: (dt-datetime(dt.year,1,1)).days) +``` + +现在您已经了解了线性回归背后的数学原理，让我们创建一个回归模型，看看是否可以预测哪种南瓜包装的价格最优。为节日南瓜园购买南瓜的人可能需要这些信息，以优化南瓜包装的购买。 + +## 寻找相关性 + +[![机器学习入门 - 寻找相关性：线性回归的关键](https://img.youtube.com/vi/uoRq-lW2eQo/0.jpg)](https://youtu.be/uoRq-lW2eQo "机器学习入门 - 寻找相关性：线性回归的关键") + +> 🎥 点击上方图片观看关于相关性的简短视频概述。 + +从上一课中，您可能已经看到不同月份的平均价格如下所示： + +按月份的平均价格 + +这表明可能存在某种相关性，我们可以尝试训练线性回归模型来预测 `Month` 与 `Price` 或 `DayOfYear` 与 `Price` 之间的关系。以下是显示后者关系的散点图： + +价格与一年中的天数的散点图 + +让我们使用 `corr` 函数查看是否存在相关性： + +```python +print(new_pumpkins['Month'].corr(new_pumpkins['Price'])) +print(new_pumpkins['DayOfYear'].corr(new_pumpkins['Price'])) +``` + +看起来相关性很小，`Month` 的相关性为 -0.15，`DayOfYear` 的相关性为 -0.17，但可能存在另一个重要关系。看起来不同南瓜品种对应的价格存在不同的聚类。为了验证这一假设，让我们为每种南瓜类别绘制不同颜色的点。通过向 `scatter` 绘图函数传递 `ax` 参数，我们可以将所有点绘制在同一个图上： + +```python +ax=None +colors = ['red','blue','green','yellow'] +for i,var in enumerate(new_pumpkins['Variety'].unique()): + df = new_pumpkins[new_pumpkins['Variety']==var] + ax = df.plot.scatter('DayOfYear','Price',ax=ax,c=colors[i],label=var) +``` + +价格与一年中的天数的散点图 + +我们的调查表明，品种对整体价格的影响比实际销售日期更大。我们可以通过柱状图看到这一点： + +```python +new_pumpkins.groupby('Variety')['Price'].mean().plot(kind='bar') +``` + +价格与品种的柱状图 + +让我们暂时专注于一种南瓜品种——“馅饼型”，看看日期对价格的影响： + +```python +pie_pumpkins = new_pumpkins[new_pumpkins['Variety']=='PIE TYPE'] +pie_pumpkins.plot.scatter('DayOfYear','Price') +``` +价格与一年中的天数的散点图 + +如果我们现在使用 `corr` 函数计算 `Price` 与 `DayOfYear` 之间的相关性，我们会得到类似 `-0.27` 的结果——这意味着训练预测模型是有意义的。 + +> 在训练线性回归模型之前，确保数据清洁非常重要。线性回归对缺失值的处理效果不好，因此清除所有空单元格是有意义的： + +```python +pie_pumpkins.dropna(inplace=True) +pie_pumpkins.info() +``` + +另一种方法是用对应列的平均值填充这些空值。 + +## 简单线性回归 + +[![机器学习入门 - 使用 Scikit-learn 进行线性和多项式回归](https://img.youtube.com/vi/e4c_UP2fSjg/0.jpg)](https://youtu.be/e4c_UP2fSjg "机器学习入门 - 使用 Scikit-learn 进行线性和多项式回归") + +> 🎥 点击上方图片观看关于线性和多项式回归的简短视频概述。 + +为了训练我们的线性回归模型，我们将使用 **Scikit-learn** 库。 + +```python +from sklearn.linear_model import LinearRegression +from sklearn.metrics import mean_squared_error +from sklearn.model_selection import train_test_split +``` + +我们首先将输入值（特征）和预期输出（标签）分离到单独的 numpy 数组中： + +```python +X = pie_pumpkins['DayOfYear'].to_numpy().reshape(-1,1) +y = pie_pumpkins['Price'] +``` + +> 请注意，我们必须对输入数据执行 `reshape`，以便线性回归包能够正确理解它。线性回归需要一个二维数组作为输入，其中数组的每一行对应于输入特征的向量。在我们的例子中，由于我们只有一个输入——我们需要一个形状为 N×1 的数组，其中 N 是数据集的大小。 + +然后，我们需要将数据分为训练集和测试集，以便在训练后验证我们的模型： + +```python +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0) +``` + +最后，训练实际的线性回归模型只需要两行代码。我们定义 `LinearRegression` 对象，并使用 `fit` 方法将其拟合到我们的数据： + +```python +lin_reg = LinearRegression() +lin_reg.fit(X_train,y_train) +``` + +`LinearRegression` 对象在 `fit` 后包含所有回归系数，可以通过 `.coef_` 属性访问。在我们的例子中，只有一个系数，大约是 `-0.017`。这意味着价格似乎随着时间略有下降，但幅度不大，每天大约下降 2 美分。我们还可以通过 `lin_reg.intercept_` 访问回归线与 Y 轴的交点——在我们的例子中，大约是 `21`，表示年初的价格。 + +为了查看我们的模型有多准确，我们可以预测测试数据集上的价格，然后测量预测值与预期值的接近程度。这可以通过均方误差（MSE）指标完成，它是所有预期值与预测值之间平方差的平均值。 + +```python +pred = lin_reg.predict(X_test) + +mse = np.sqrt(mean_squared_error(y_test,pred)) +print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)') +``` +我们的错误似乎集中在两个点上，大约是 17%。表现不太理想。另一个衡量模型质量的指标是 **决定系数**，可以通过以下方式获得： + +```python +score = lin_reg.score(X_train,y_train) +print('Model determination: ', score) +``` +如果值为 0，意味着模型没有考虑输入数据，表现为*最差的线性预测器*，即结果的平均值。值为 1 表示我们可以完美预测所有期望的输出。在我们的案例中，决定系数约为 0.06，较低。 + +我们还可以将测试数据与回归线一起绘制，以更好地观察回归在我们案例中的表现： + +```python +plt.scatter(X_test,y_test) +plt.plot(X_test,pred) +``` + +线性回归 + +## 多项式回归 + +线性回归的另一种形式是多项式回归。有时变量之间存在线性关系——例如南瓜的体积越大，价格越高——但有时这些关系无法用平面或直线来表示。 + +✅ 这里有一些[更多示例](https://online.stat.psu.edu/stat501/lesson/9/9.8)，展示了可以使用多项式回归的数据。 + +再看看日期和价格之间的关系。这个散点图看起来是否一定要用直线来分析？价格难道不会波动吗？在这种情况下，可以尝试使用多项式回归。 + +✅ 多项式是可能包含一个或多个变量和系数的数学表达式。 + +多项式回归会创建一条曲线，以更好地拟合非线性数据。在我们的案例中，如果将平方的 `DayOfYear` 变量包含在输入数据中，我们应该能够用抛物线拟合数据，该抛物线在一年中的某个点达到最低值。 + +Scikit-learn 提供了一个非常有用的 [pipeline API](https://scikit-learn.org/stable/modules/generated/sklearn.pipeline.make_pipeline.html?highlight=pipeline#sklearn.pipeline.make_pipeline)，可以将数据处理的不同步骤组合在一起。**管道**是**估计器**的链条。在我们的案例中，我们将创建一个管道，首先向模型添加多项式特征，然后训练回归： + +```python +from sklearn.preprocessing import PolynomialFeatures +from sklearn.pipeline import make_pipeline + +pipeline = make_pipeline(PolynomialFeatures(2), LinearRegression()) + +pipeline.fit(X_train,y_train) +``` + +使用 `PolynomialFeatures(2)` 表示我们将包含输入数据中的所有二次多项式。在我们的案例中，这仅意味着 `DayOfYear`2，但如果有两个输入变量 X 和 Y，这将添加 X2、XY 和 Y2。如果需要，我们也可以使用更高次的多项式。 + +管道可以像原始的 `LinearRegression` 对象一样使用，例如我们可以 `fit` 管道，然后使用 `predict` 获取预测结果。以下是显示测试数据和拟合曲线的图表： + +多项式回归 + +使用多项式回归，我们可以获得稍低的 MSE 和稍高的决定系数，但提升并不显著。我们需要考虑其他特征！ + +> 可以看到南瓜价格最低点大约出现在万圣节附近。你如何解释这一现象？ + +🎃 恭喜你！你刚刚创建了一个可以帮助预测南瓜派价格的模型。你可能可以对所有南瓜类型重复相同的过程，但这会很繁琐。现在让我们学习如何在模型中考虑南瓜品种！ + +## 分类特征 + +在理想情况下，我们希望能够使用同一个模型预测不同南瓜品种的价格。然而，`Variety` 列与 `Month` 等列有所不同，因为它包含非数值值。这类列被称为**分类特征**。 + +[![机器学习入门 - 使用线性回归预测分类特征](https://img.youtube.com/vi/DYGliioIAE0/0.jpg)](https://youtu.be/DYGliioIAE0 "机器学习入门 - 使用线性回归预测分类特征") + +> 🎥 点击上方图片观看关于使用分类特征的简短视频概述。 + +以下是品种与平均价格的关系： + +按品种划分的平均价格 + +为了考虑品种，我们首先需要将其转换为数值形式，或者说**编码**。有几种方法可以实现： + +* 简单的**数值编码**会构建一个不同品种的表格，然后用表格中的索引替换品种名称。这对线性回归来说不是最好的选择，因为线性回归会将索引的实际数值考虑在内，并通过某个系数与结果相乘。在我们的案例中，索引号与价格之间的关系显然是非线性的，即使我们确保索引按某种特定方式排序。 +* **独热编码**会将 `Variety` 列替换为 4 个不同的列，每个品种对应一个列。如果某行属于某个品种，该列值为 `1`，否则为 `0`。这意味着线性回归中会有四个系数，每个南瓜品种对应一个，负责该品种的“起始价格”（或“附加价格”）。 + +以下代码展示了如何对品种进行独热编码： + +```python +pd.get_dummies(new_pumpkins['Variety']) +``` + + ID | FAIRYTALE | MINIATURE | MIXED HEIRLOOM VARIETIES | PIE TYPE +----|-----------|-----------|--------------------------|---------- +70 | 0 | 0 | 0 | 1 +71 | 0 | 0 | 0 | 1 +... | ... | ... | ... | ... +1738 | 0 | 1 | 0 | 0 +1739 | 0 | 1 | 0 | 0 +1740 | 0 | 1 | 0 | 0 +1741 | 0 | 1 | 0 | 0 +1742 | 0 | 1 | 0 | 0 + +为了使用独热编码的品种作为输入训练线性回归，我们只需正确初始化 `X` 和 `y` 数据： + +```python +X = pd.get_dummies(new_pumpkins['Variety']) +y = new_pumpkins['Price'] +``` + +其余代码与我们之前用于训练线性回归的代码相同。如果尝试，你会发现均方误差差不多，但决定系数显著提高（约 77%）。为了获得更准确的预测，我们可以考虑更多分类特征以及数值特征，例如 `Month` 或 `DayOfYear`。为了获得一个大的特征数组，我们可以使用 `join`： + +```python +X = pd.get_dummies(new_pumpkins['Variety']) \ + .join(new_pumpkins['Month']) \ + .join(pd.get_dummies(new_pumpkins['City'])) \ + .join(pd.get_dummies(new_pumpkins['Package'])) +y = new_pumpkins['Price'] +``` + +这里我们还考虑了 `City` 和 `Package` 类型，这使得 MSE 降至 2.84（10%），决定系数提高到 0.94！ + +## 综合起来 + +为了构建最佳模型，我们可以将上述示例中的组合数据（独热编码分类特征 + 数值特征）与多项式回归一起使用。以下是完整代码供参考： + +```python +# set up training data +X = pd.get_dummies(new_pumpkins['Variety']) \ + .join(new_pumpkins['Month']) \ + .join(pd.get_dummies(new_pumpkins['City'])) \ + .join(pd.get_dummies(new_pumpkins['Package'])) +y = new_pumpkins['Price'] + +# make train-test split +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0) + +# setup and train the pipeline +pipeline = make_pipeline(PolynomialFeatures(2), LinearRegression()) +pipeline.fit(X_train,y_train) + +# predict results for test data +pred = pipeline.predict(X_test) + +# calculate MSE and determination +mse = np.sqrt(mean_squared_error(y_test,pred)) +print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)') + +score = pipeline.score(X_train,y_train) +print('Model determination: ', score) +``` + +这应该能让我们获得接近 97% 的决定系数，以及 MSE=2.23（约 8% 的预测误差）。 + +| 模型 | MSE | 决定系数 | +|-------|-----|---------------| +| `DayOfYear` 线性 | 2.77 (17.2%) | 0.07 | +| `DayOfYear` 多项式 | 2.73 (17.0%) | 0.08 | +| `Variety` 线性 | 5.24 (19.7%) | 0.77 | +| 所有特征线性 | 2.84 (10.5%) | 0.94 | +| 所有特征多项式 | 2.23 (8.25%) | 0.97 | + +🏆 做得好！你在一节课中创建了四个回归模型，并将模型质量提升至 97%。在回归的最后一部分中，你将学习如何使用逻辑回归来确定类别。 + +--- + +## 🚀挑战 + +在此笔记本中测试几个不同的变量，观察相关性如何影响模型准确性。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在本课中我们学习了线性回归。还有其他重要的回归类型。阅读关于逐步回归、岭回归、套索回归和弹性网络技术的内容。一个不错的学习课程是 [斯坦福统计学习课程](https://online.stanford.edu/courses/sohs-ystatslearning-statistical-learning)。 + +## 作业 + +[构建一个模型](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/assignment.md b/translations/zh-CN/2-Regression/3-Linear/assignment.md new file mode 100644 index 000000000..f97ad3678 --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/assignment.md @@ -0,0 +1,16 @@ +# 创建回归模型 + +## 说明 + +在本课中，你学习了如何使用线性回归和多项式回归来构建模型。利用这些知识，找到一个数据集或使用 Scikit-learn 内置的数据集来构建一个新的模型。在你的笔记本中解释你选择该技术的原因，并展示你的模型的准确性。如果模型不够准确，请解释原因。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ------------------------------------------------------------ | -------------------------- | ------------------------------- | +| | 提供一个完整的笔记本，并包含详细记录的解决方案 | 解决方案不完整 | 解决方案存在缺陷或错误 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/notebook.ipynb b/translations/zh-CN/2-Regression/3-Linear/notebook.ipynb new file mode 100644 index 000000000..d90c9df81 --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/notebook.ipynb @@ -0,0 +1,128 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 南瓜定价\n", + "\n", + "加载所需的库和数据集。将数据转换为一个包含数据子集的数据框：\n", + "\n", + "- 仅获取按蒲式耳定价的南瓜\n", + "- 将日期转换为月份\n", + "- 计算价格为高价和低价的平均值\n", + "- 将价格转换为反映按蒲式耳数量定价\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from datetime import datetime\n", + "\n", + "pumpkins = pd.read_csv('../data/US-pumpkins.csv')\n", + "\n", + "pumpkins.head()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pumpkins = pumpkins[pumpkins['Package'].str.contains('bushel', case=True, regex=True)]\n", + "\n", + "columns_to_select = ['Package', 'Variety', 'City Name', 'Low Price', 'High Price', 'Date']\n", + "pumpkins = pumpkins.loc[:, columns_to_select]\n", + "\n", + "price = (pumpkins['Low Price'] + pumpkins['High Price']) / 2\n", + "\n", + "month = pd.DatetimeIndex(pumpkins['Date']).month\n", + "day_of_year = pd.to_datetime(pumpkins['Date']).apply(lambda dt: (dt-datetime(dt.year,1,1)).days)\n", + "\n", + "new_pumpkins = pd.DataFrame(\n", + " {'Month': month, \n", + " 'DayOfYear' : day_of_year, \n", + " 'Variety': pumpkins['Variety'], \n", + " 'City': pumpkins['City Name'], \n", + " 'Package': pumpkins['Package'], \n", + " 'Low Price': pumpkins['Low Price'],\n", + " 'High Price': pumpkins['High Price'], \n", + " 'Price': price})\n", + "\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1 1/9'), 'Price'] = price/1.1\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1/2'), 'Price'] = price*2\n", + "\n", + "new_pumpkins.head()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "一个基本的散点图提醒我们，我们只有从八月到十二月的月度数据。我们可能需要更多数据才能以线性方式得出结论。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.scatter('Month','Price',data=new_pumpkins)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "plt.scatter('DayOfYear','Price',data=new_pumpkins)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.3-final" + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "b032d371c75279373507f003439a577e", + "translation_date": "2025-09-03T19:16:27+00:00", + "source_file": "2-Regression/3-Linear/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/solution/Julia/README.md b/translations/zh-CN/2-Regression/3-Linear/solution/Julia/README.md new file mode 100644 index 000000000..acfece51f --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/solution/R/lesson_3-R.ipynb b/translations/zh-CN/2-Regression/3-Linear/solution/R/lesson_3-R.ipynb new file mode 100644 index 000000000..57f669a57 --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/solution/R/lesson_3-R.ipynb @@ -0,0 +1,1088 @@ +{ + "nbformat": 4, + "nbformat_minor": 2, + "metadata": { + "colab": { + "name": "lesson_3-R.ipynb", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "5015d65d61ba75a223bfc56c273aa174", + "translation_date": "2025-09-03T19:26:15+00:00", + "source_file": "2-Regression/3-Linear/solution/R/lesson_3-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 构建回归模型：线性回归和多项式回归模型\n" + ], + "metadata": { + "id": "EgQw8osnsUV-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 南瓜定价的线性回归和多项式回归 - 第三课\n", + "

\n", + " \n", + "

信息图作者：Dasani Madipalli
\n", + "\n", + "\n", + "\n", + "\n", + "#### 介绍\n", + "\n", + "到目前为止，你已经通过南瓜定价数据集的样本数据了解了什么是回归，并将在整个课程中使用该数据集。你还使用了 `ggplot2` 进行了可视化。💪\n", + "\n", + "现在你已经准备好深入学习机器学习中的回归。在本课中，你将进一步了解两种回归类型：*基本线性回归* 和 *多项式回归*，以及这些技术背后的一些数学原理。\n", + "\n", + "> 在整个课程中，我们假设学生的数学知识较少，并努力使内容对来自其他领域的学生更易理解，因此请注意笔记、🧮 数学提示、图表以及其他学习工具，这些都将帮助你更好地理解。\n", + "\n", + "#### 准备工作\n", + "\n", + "提醒一下，你正在加载这些数据以便对其进行分析。\n", + "\n", + "- 什么时候是购买南瓜的最佳时间？\n", + "\n", + "- 一箱迷你南瓜的价格大概是多少？\n", + "\n", + "- 我应该选择半蒲式耳篮子还是 1 1/9 蒲式耳箱来购买？让我们继续深入挖掘这些数据。\n", + "\n", + "在上一课中，你创建了一个 `tibble`（数据框的一种现代化形式），并用原始数据集的一部分填充它，同时将价格标准化为以蒲式耳为单位。然而，通过这种方式，你只能收集到大约 400 个数据点，并且仅限于秋季月份。也许通过进一步清理数据，我们可以获得更多细节？我们拭目以待... 🕵️‍♀️\n", + "\n", + "完成此任务需要以下包：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个 [R 包集合](https://www.tidyverse.org/packages)，旨在让数据科学更快、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个 [包集合](https://www.tidymodels.org/packages)，用于建模和机器学习。\n", + "\n", + "- `janitor`： [janitor 包](https://github.com/sfirke/janitor) 提供了一些简单的小工具，用于检查和清理脏数据。\n", + "\n", + "- `corrplot`： [corrplot 包](https://cran.r-project.org/web/packages/corrplot/vignettes/corrplot-intro.html) 提供了一个可视化的相关矩阵探索工具，支持自动变量重新排序，以帮助发现变量之间隐藏的模式。\n", + "\n", + "你可以通过以下命令安装这些包：\n", + "\n", + "`install.packages(c(\"tidyverse\", \"tidymodels\", \"janitor\", \"corrplot\"))`\n", + "\n", + "下面的脚本会检查你是否安装了完成本模块所需的包，并在缺少时为你安装它们。\n" + ], + "metadata": { + "id": "WqQPS1OAsg3H" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "suppressWarnings(if (!require(\"pacman\")) install.packages(\"pacman\"))\n", + "\n", + "pacman::p_load(tidyverse, tidymodels, janitor, corrplot)" + ], + "outputs": [], + "metadata": { + "id": "tA4C2WN3skCf", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c06cd805-5534-4edc-f72b-d0d1dab96ac0" + } + }, + { + "cell_type": "markdown", + "source": [ + "我们稍后会加载这些很棒的包，并将它们在当前的 R 会话中可用。（这只是为了说明，`pacman::p_load()` 已经帮你完成了这一步）\n", + "\n", + "## 1. 线性回归线\n", + "\n", + "正如你在第一课中学到的，线性回归的目标是能够绘制一条*最佳拟合线*，以便：\n", + "\n", + "- **展示变量关系**。展示变量之间的关系\n", + "\n", + "- **进行预测**。准确预测新数据点在这条线上的位置\n", + "\n", + "为了绘制这种类型的线，我们使用一种统计技术，称为**最小二乘回归**。`最小二乘`的意思是回归线周围的所有数据点的误差平方后相加。理想情况下，这个最终的总和应该尽可能小，因为我们希望误差数量较低，也就是`最小二乘`。因此，最佳拟合线就是使误差平方和最小的那条线——这就是*最小二乘回归*的名称由来。\n", + "\n", + "我们这样做是因为我们希望拟合一条与所有数据点的累计距离最小的线。在加总之前，我们会对误差进行平方，因为我们关心的是误差的大小，而不是方向。\n", + "\n", + "> **🧮 数学公式**\n", + ">\n", + "> 这条线，称为*最佳拟合线*，可以用[一个公式](https://en.wikipedia.org/wiki/Simple_linear_regression)表示：\n", + ">\n", + "> Y = a + bX\n", + ">\n", + "> `X` 是`解释变量`或`预测变量`，`Y` 是`因变量`或`结果变量`。线的斜率是 `b`，而 `a` 是 y 截距，指的是当 `X = 0` 时 `Y` 的值。\n", + ">\n", + "\n", + "> ![](../../../../../../2-Regression/3-Linear/solution/images/slope.png \"slope = $y/x$\")\n", + " 信息图由 Jen Looper 制作\n", + ">\n", + "> 首先，计算斜率 `b`。\n", + ">\n", + "> 换句话说，参考我们的南瓜数据的原始问题：“按月份预测每蒲式耳南瓜的价格”，`X` 表示价格，`Y` 表示销售月份。\n", + ">\n", + "> ![](../../../../../../translated_images/zh-CN/calculation.989aa7822020d9d0ba9fc781f1ab5192f3421be86ebb88026528aef33c37b0d8.png)\n", + " 信息图由 Jen Looper 制作\n", + "> \n", + "> 计算 Y 的值。如果你支付大约 \\$4，那一定是四月！\n", + ">\n", + "> 计算这条线的数学公式必须展示线的斜率，这也取决于截距，即当 `X = 0` 时 `Y` 的位置。\n", + ">\n", + "> 你可以在 [Math is Fun](https://www.mathsisfun.com/data/least-squares-regression.html) 网站上观察这些值的计算方法。也可以访问[这个最小二乘计算器](https://www.mathsisfun.com/data/least-squares-calculator.html)，看看数值如何影响这条线。\n", + "\n", + "是不是没那么可怕？🤓\n", + "\n", + "#### 相关性\n", + "\n", + "还有一个需要理解的术语是给定 X 和 Y 变量之间的**相关系数**。使用散点图，你可以快速可视化这个系数。数据点整齐排列成一条线的图表具有高相关性，而数据点在 X 和 Y 之间随意分布的图表则相关性较低。\n", + "\n", + "一个好的线性回归模型应该是使用最小二乘回归方法和回归线时，相关系数较高（接近 1 而不是 0）的模型。\n" + ], + "metadata": { + "id": "cdX5FRpvsoP5" + } + }, + { + "cell_type": "markdown", + "source": [ + "## **2. 与数据共舞：创建用于建模的数据框**\n", + "\n", + "

\n", + " \n", + "

插画作者：@allison_horst
\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "WdUKXk7Bs8-V" + } + }, + { + "cell_type": "markdown", + "source": [ + "加载所需的库和数据集。将数据转换为包含数据子集的数据框：\n", + "\n", + "- 仅获取按蒲式耳定价的南瓜数据\n", + "\n", + "- 将日期转换为月份\n", + "\n", + "- 计算价格为高价和低价的平均值\n", + "\n", + "- 将价格转换为反映按蒲式耳数量定价的形式\n", + "\n", + "> 我们在[上一课](https://github.com/microsoft/ML-For-Beginners/blob/main/2-Regression/2-Data/solution/lesson_2-R.ipynb)中已经涵盖了这些步骤。\n" + ], + "metadata": { + "id": "fMCtu2G2s-p8" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load the core Tidyverse packages\n", + "library(tidyverse)\n", + "library(lubridate)\n", + "\n", + "# Import the pumpkins data\n", + "pumpkins <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/2-Regression/data/US-pumpkins.csv\")\n", + "\n", + "\n", + "# Get a glimpse and dimensions of the data\n", + "glimpse(pumpkins)\n", + "\n", + "\n", + "# Print the first 50 rows of the data set\n", + "pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "ryMVZEEPtERn" + } + }, + { + "cell_type": "markdown", + "source": [ + "出于纯粹冒险的精神，让我们探索 [`janitor package`](../../../../../../2-Regression/3-Linear/solution/R/github.com/sfirke/janitor)，它提供了简单的函数来检查和清理脏数据。例如，让我们看看我们数据的列名：\n" + ], + "metadata": { + "id": "xcNxM70EtJjb" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Return column names\n", + "pumpkins %>% \n", + " names()" + ], + "outputs": [], + "metadata": { + "id": "5XtpaIigtPfW" + } + }, + { + "cell_type": "markdown", + "source": [ + "🤔 我们可以做得更好。让我们通过使用 `janitor::clean_names` 将这些列名转换为 [snake_case](https://en.wikipedia.org/wiki/Snake_case) 约定来使它们成为 `friendR`。要了解有关此函数的更多信息：`?clean_names`\n" + ], + "metadata": { + "id": "IbIqrMINtSHe" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Clean names to the snake_case convention\n", + "pumpkins <- pumpkins %>% \n", + " clean_names(case = \"snake\")\n", + "\n", + "# Return column names\n", + "pumpkins %>% \n", + " names()" + ], + "outputs": [], + "metadata": { + "id": "a2uYvclYtWvX" + } + }, + { + "cell_type": "markdown", + "source": [ + "非常整洁 🧹！现在，像上一节课一样，用 `dplyr` 来与数据共舞吧！💃\n" + ], + "metadata": { + "id": "HfhnuzDDtaDd" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Select desired columns\n", + "pumpkins <- pumpkins %>% \n", + " select(variety, city_name, package, low_price, high_price, date)\n", + "\n", + "\n", + "\n", + "# Extract the month from the dates to a new column\n", + "pumpkins <- pumpkins %>%\n", + " mutate(date = mdy(date),\n", + " month = month(date)) %>% \n", + " select(-date)\n", + "\n", + "\n", + "\n", + "# Create a new column for average Price\n", + "pumpkins <- pumpkins %>% \n", + " mutate(price = (low_price + high_price)/2)\n", + "\n", + "\n", + "# Retain only pumpkins with the string \"bushel\"\n", + "new_pumpkins <- pumpkins %>% \n", + " filter(str_detect(string = package, pattern = \"bushel\"))\n", + "\n", + "\n", + "# Normalize the pricing so that you show the pricing per bushel, not per 1 1/9 or 1/2 bushel\n", + "new_pumpkins <- new_pumpkins %>% \n", + " mutate(price = case_when(\n", + " str_detect(package, \"1 1/9\") ~ price/(1.1),\n", + " str_detect(package, \"1/2\") ~ price*2,\n", + " TRUE ~ price))\n", + "\n", + "# Relocate column positions\n", + "new_pumpkins <- new_pumpkins %>% \n", + " relocate(month, .before = variety)\n", + "\n", + "\n", + "# Display the first 5 rows\n", + "new_pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "X0wU3gQvtd9f" + } + }, + { + "cell_type": "markdown", + "source": [ + "干得好！👌 你现在拥有一个干净整洁的数据集，可以用来构建新的回归模型！\n", + "\n", + "画个散点图怎么样？\n" + ], + "metadata": { + "id": "UpaIwaxqth82" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Set theme\n", + "theme_set(theme_light())\n", + "\n", + "# Make a scatter plot of month and price\n", + "new_pumpkins %>% \n", + " ggplot(mapping = aes(x = month, y = price)) +\n", + " geom_point(size = 1.6)\n" + ], + "outputs": [], + "metadata": { + "id": "DXgU-j37tl5K" + } + }, + { + "cell_type": "markdown", + "source": [ + "散点图提醒我们，我们只有从八月到十二月的月度数据。我们可能需要更多的数据才能以线性方式得出结论。\n", + "\n", + "让我们再看看我们的建模数据：\n" + ], + "metadata": { + "id": "Ve64wVbwtobI" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Display first 5 rows\n", + "new_pumpkins %>% \n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "HFQX2ng1tuSJ" + } + }, + { + "cell_type": "markdown", + "source": [ + "如果我们想根据`city`或`package`列（它们是字符类型）来预测南瓜的`price`，该怎么办？或者更简单地说，我们如何找到`package`和`price`之间的相关性（这要求两个输入都为数值类型）呢？🤷🤷\n", + "\n", + "机器学习模型在处理数值特征时效果最佳，而不是文本值，因此通常需要将分类特征转换为数值表示。\n", + "\n", + "这意味着我们需要找到一种方法来重新格式化我们的预测变量，使其更容易被模型有效利用，这个过程被称为`特征工程`。\n" + ], + "metadata": { + "id": "7hsHoxsStyjJ" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. 为建模预处理数据，使用 recipes 👩‍🍳👨‍🍳\n", + "\n", + "将预测变量重新格式化以便模型更有效使用的活动被称为`特征工程`。\n", + "\n", + "不同的模型对数据预处理有不同的要求。例如，最小二乘法需要对`分类变量`（如月份、品种和城市名称）进行`编码`。这通常涉及将包含`分类值`的列`转换`为一个或多个`数值列`，以替代原始列。\n", + "\n", + "例如，假设你的数据包含以下分类特征：\n", + "\n", + "| city |\n", + "|:-------:|\n", + "| Denver |\n", + "| Nairobi |\n", + "| Tokyo |\n", + "\n", + "你可以应用*序数编码*，为每个类别替换一个唯一的整数值，如下所示：\n", + "\n", + "| city |\n", + "|:----:|\n", + "| 0 |\n", + "| 1 |\n", + "| 2 |\n", + "\n", + "这就是我们将对数据进行的操作！\n", + "\n", + "在本节中，我们将探索另一个令人惊叹的 Tidymodels 包：[recipes](https://tidymodels.github.io/recipes/) - 它专为在训练模型**之前**帮助你预处理数据而设计。本质上，recipe 是一个对象，用于定义对数据集应用哪些步骤，以使其为建模做好准备。\n", + "\n", + "现在，让我们创建一个 recipe，通过为预测变量列中的所有观测值替换唯一整数，来为建模准备数据：\n" + ], + "metadata": { + "id": "AD5kQbcvt3Xl" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Specify a recipe\n", + "pumpkins_recipe <- recipe(price ~ ., data = new_pumpkins) %>% \n", + " step_integer(all_predictors(), zero_based = TRUE)\n", + "\n", + "\n", + "# Print out the recipe\n", + "pumpkins_recipe" + ], + "outputs": [], + "metadata": { + "id": "BNaFKXfRt9TU" + } + }, + { + "cell_type": "markdown", + "source": [ + "太棒了！👏 我们刚刚创建了第一个配方，它指定了一个结果（价格）及其对应的预测变量，并且所有预测变量列都被编码为一组整数 🙌！让我们快速分解一下：\n", + "\n", + "- 调用 `recipe()` 并使用公式告诉配方变量的*角色*，以 `new_pumpkins` 数据作为参考。例如，`price` 列被分配了 `outcome` 角色，而其余列被分配了 `predictor` 角色。\n", + "\n", + "- `step_integer(all_predictors(), zero_based = TRUE)` 指定所有预测变量都应转换为一组整数，编号从 0 开始。\n", + "\n", + "我们相信你可能会有这样的想法：“这太酷了！！但如果我需要确认这些配方确实按照我的预期在工作怎么办？🤔”\n", + "\n", + "这是一个很棒的想法！你看，一旦定义了配方，你可以估算实际预处理数据所需的参数，然后提取处理后的数据。通常在使用 Tidymodels 时不需要这样做（我们稍后会看到常规方法 -> `workflows`），但当你想进行某种合理性检查以确认配方是否按预期工作时，这会非常有用。\n", + "\n", + "为此，你需要两个额外的动词：`prep()` 和 `bake()`。一如既往，我们的小 R 朋友由 [`Allison Horst`](https://github.com/allisonhorst/stats-illustrations) 创作，帮助你更好地理解这一点！\n", + "\n", + "

\n", + " \n", + "

插图作者：@allison_horst
\n" + ], + "metadata": { + "id": "KEiO0v7kuC9O" + } + }, + { + "cell_type": "markdown", + "source": [ + "[`prep()`](https://recipes.tidymodels.org/reference/prep.html)：从训练集估算所需参数，这些参数可以稍后应用于其他数据集。例如，对于给定的预测变量列，哪个观测值会被分配为整数 0、1、2 等。\n", + "\n", + "[`bake()`](https://recipes.tidymodels.org/reference/bake.html)：使用已准备好的配方并将操作应用于任何数据集。\n", + "\n", + "话虽如此，让我们准备并应用配方，真正确认在底层，预测变量列会先被编码，然后再拟合模型。\n" + ], + "metadata": { + "id": "Q1xtzebuuTCP" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Prep the recipe\n", + "pumpkins_prep <- prep(pumpkins_recipe)\n", + "\n", + "# Bake the recipe to extract a preprocessed new_pumpkins data\n", + "baked_pumpkins <- bake(pumpkins_prep, new_data = NULL)\n", + "\n", + "# Print out the baked data set\n", + "baked_pumpkins %>% \n", + " slice_head(n = 10)" + ], + "outputs": [], + "metadata": { + "id": "FGBbJbP_uUUn" + } + }, + { + "cell_type": "markdown", + "source": [ + "哇哦！🥳 处理后的数据 `baked_pumpkins` 的所有预测变量都已编码，这确认了我们定义的预处理步骤（作为我们的配方）确实可以如预期般工作。这虽然让数据更难阅读，但对 Tidymodels 来说却更加易于理解！花点时间找出哪些观测值已被映射到对应的整数。\n", + "\n", + "另外值得一提的是，`baked_pumpkins` 是一个数据框，我们可以在其上进行计算。\n", + "\n", + "例如，我们可以尝试在数据中的两个点之间找到一个良好的相关性，以便可能构建一个优秀的预测模型。我们将使用函数 `cor()` 来完成此操作。输入 `?cor()` 以了解更多关于该函数的信息。\n" + ], + "metadata": { + "id": "1dvP0LBUueAW" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Find the correlation between the city_name and the price\n", + "cor(baked_pumpkins$city_name, baked_pumpkins$price)\n", + "\n", + "# Find the correlation between the package and the price\n", + "cor(baked_pumpkins$package, baked_pumpkins$price)\n" + ], + "outputs": [], + "metadata": { + "id": "3bQzXCjFuiSV" + } + }, + { + "cell_type": "markdown", + "source": [ + "事实证明，城市和价格之间的相关性较弱。然而，套餐和价格之间的相关性稍强一些。这很合理，对吧？通常来说，生产箱越大，价格越高。\n", + "\n", + "既然如此，我们也可以尝试使用 `corrplot` 包来可视化所有列的相关性矩阵。\n" + ], + "metadata": { + "id": "BToPWbgjuoZw" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load the corrplot package\n", + "library(corrplot)\n", + "\n", + "# Obtain correlation matrix\n", + "corr_mat <- cor(baked_pumpkins %>% \n", + " # Drop columns that are not really informative\n", + " select(-c(low_price, high_price)))\n", + "\n", + "# Make a correlation plot between the variables\n", + "corrplot(corr_mat, method = \"shade\", shade.col = NA, tl.col = \"black\", tl.srt = 45, addCoef.col = \"black\", cl.pos = \"n\", order = \"original\")" + ], + "outputs": [], + "metadata": { + "id": "ZwAL3ksmutVR" + } + }, + { + "cell_type": "markdown", + "source": [ + "🤩🤩 好得多。\n", + "\n", + "现在可以问这个数据的一个好问题是：'`给定一个南瓜包，我可以预期它的价格是多少？`' 让我们直接开始吧！\n", + "\n", + "> 注意：当你使用 **`new_data = NULL`** 对预处理过的配方 **`pumpkins_prep`** 进行 **`bake()`** 时，你会提取处理过的（即编码后的）训练数据。如果你有另一个数据集，例如测试集，并希望查看配方如何对其进行预处理，你只需使用 **`new_data = test_set`** 对 **`pumpkins_prep`** 进行 bake。\n", + "\n", + "## 4. 构建线性回归模型\n", + "\n", + "

\n", + " \n", + "

Dasani Madipalli 制作的信息图
\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "YqXjLuWavNxW" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在我们已经构建了一个配方，并确认数据将被适当预处理，接下来让我们构建一个回归模型来回答这个问题：`我可以预期某个南瓜包装的价格是多少？`\n", + "\n", + "#### 使用训练集训练线性回归模型\n", + "\n", + "正如你可能已经猜到的，*price* 列是 `结果` 变量，而 *package* 列是 `预测` 变量。\n", + "\n", + "为此，我们首先将数据分割为训练集（占80%）和测试集（占20%），然后定义一个配方，将预测变量列编码为一组整数，接着构建一个模型规范。我们不会准备和烘焙配方，因为我们已经知道它会按预期预处理数据。\n" + ], + "metadata": { + "id": "Pq0bSzCevW-h" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "set.seed(2056)\n", + "# Split the data into training and test sets\n", + "pumpkins_split <- new_pumpkins %>% \n", + " initial_split(prop = 0.8)\n", + "\n", + "\n", + "# Extract training and test data\n", + "pumpkins_train <- training(pumpkins_split)\n", + "pumpkins_test <- testing(pumpkins_split)\n", + "\n", + "\n", + "\n", + "# Create a recipe for preprocessing the data\n", + "lm_pumpkins_recipe <- recipe(price ~ package, data = pumpkins_train) %>% \n", + " step_integer(all_predictors(), zero_based = TRUE)\n", + "\n", + "\n", + "\n", + "# Create a linear model specification\n", + "lm_spec <- linear_reg() %>% \n", + " set_engine(\"lm\") %>% \n", + " set_mode(\"regression\")" + ], + "outputs": [], + "metadata": { + "id": "CyoEh_wuvcLv" + } + }, + { + "cell_type": "markdown", + "source": [ + "干得好！现在我们已经有了一个配方和模型规范，我们需要找到一种方法将它们打包成一个对象，该对象将首先对数据进行预处理（幕后完成prep+bake），然后在预处理后的数据上拟合模型，同时还支持潜在的后处理活动。这是不是让你更安心了！🤩\n", + "\n", + "在Tidymodels中，这个方便的对象叫做[`workflow`](https://workflows.tidymodels.org/)，它可以方便地包含你的建模组件！这在*Python*中我们称之为*管道*。\n", + "\n", + "那么，让我们把所有东西打包到一个workflow中吧！📦\n" + ], + "metadata": { + "id": "G3zF_3DqviFJ" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Hold modelling components in a workflow\n", + "lm_wf <- workflow() %>% \n", + " add_recipe(lm_pumpkins_recipe) %>% \n", + " add_model(lm_spec)\n", + "\n", + "# Print out the workflow\n", + "lm_wf" + ], + "outputs": [], + "metadata": { + "id": "T3olroU3v-WX" + } + }, + { + "cell_type": "markdown", + "source": [ + "顺便提一下，工作流程可以像模型一样进行适配或训练。\n" + ], + "metadata": { + "id": "zd1A5tgOwEPX" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Train the model\n", + "lm_wf_fit <- lm_wf %>% \n", + " fit(data = pumpkins_train)\n", + "\n", + "# Print the model coefficients learned \n", + "lm_wf_fit" + ], + "outputs": [], + "metadata": { + "id": "NhJagFumwFHf" + } + }, + { + "cell_type": "markdown", + "source": [ + "从模型输出中，我们可以看到训练过程中学习到的系数。它们表示最佳拟合线的系数，该线使实际变量与预测变量之间的总体误差最小化。\n", + "\n", + "#### 使用测试集评估模型性能\n", + "\n", + "是时候看看模型的表现了 📏！我们该怎么做呢？\n", + "\n", + "现在我们已经训练了模型，可以使用 `parsnip::predict()` 对测试集进行预测。然后，我们可以将这些预测值与实际标签值进行比较，以评估模型的效果（好或不好）。\n", + "\n", + "让我们从对测试集进行预测开始，然后将预测结果与测试集绑定在一起。\n" + ], + "metadata": { + "id": "_4QkGtBTwItF" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make predictions for the test set\n", + "predictions <- lm_wf_fit %>% \n", + " predict(new_data = pumpkins_test)\n", + "\n", + "\n", + "# Bind predictions to the test set\n", + "lm_results <- pumpkins_test %>% \n", + " select(c(package, price)) %>% \n", + " bind_cols(predictions)\n", + "\n", + "\n", + "# Print the first ten rows of the tibble\n", + "lm_results %>% \n", + " slice_head(n = 10)" + ], + "outputs": [], + "metadata": { + "id": "UFZzTG0gwTs9" + } + }, + { + "cell_type": "markdown", + "source": [ + "是的，你刚刚训练了一个模型并用它进行了预测！🔮 它表现如何呢？让我们来评估模型的性能吧！\n", + "\n", + "在Tidymodels中，我们使用 `yardstick::metrics()` 来完成这一任务！对于线性回归，我们重点关注以下指标：\n", + "\n", + "- `均方根误差 (RMSE)`：即[均方误差 (MSE)](https://en.wikipedia.org/wiki/Mean_squared_error)的平方根。它提供了一个绝对指标，单位与标签一致（在这个例子中是南瓜的价格）。值越小，模型越好（简单来说，它表示预测值平均偏差的价格范围）。\n", + "\n", + "- `决定系数（通常称为R平方或R2）`：一个相对指标，值越高，模型拟合效果越好。实际上，这个指标表示模型能够解释预测值与实际标签值之间方差的程度。\n" + ], + "metadata": { + "id": "0A5MjzM7wW9M" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Evaluate performance of linear regression\n", + "metrics(data = lm_results,\n", + " truth = price,\n", + " estimate = .pred)" + ], + "outputs": [], + "metadata": { + "id": "reJ0UIhQwcEH" + } + }, + { + "cell_type": "markdown", + "source": [ + "模型性能下降了。让我们通过可视化包裹和价格的散点图来看看是否能获得更好的指示，然后使用预测结果叠加一条最佳拟合线。\n", + "\n", + "这意味着我们需要准备并处理测试集，以便对包裹列进行编码，然后将其与模型生成的预测结果绑定在一起。\n" + ], + "metadata": { + "id": "fdgjzjkBwfWt" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Encode package column\n", + "package_encode <- lm_pumpkins_recipe %>% \n", + " prep() %>% \n", + " bake(new_data = pumpkins_test) %>% \n", + " select(package)\n", + "\n", + "\n", + "# Bind encoded package column to the results\n", + "lm_results <- lm_results %>% \n", + " bind_cols(package_encode %>% \n", + " rename(package_integer = package)) %>% \n", + " relocate(package_integer, .after = package)\n", + "\n", + "\n", + "# Print new results data frame\n", + "lm_results %>% \n", + " slice_head(n = 5)\n", + "\n", + "\n", + "# Make a scatter plot\n", + "lm_results %>% \n", + " ggplot(mapping = aes(x = package_integer, y = price)) +\n", + " geom_point(size = 1.6) +\n", + " # Overlay a line of best fit\n", + " geom_line(aes(y = .pred), color = \"orange\", size = 1.2) +\n", + " xlab(\"package\")\n", + " \n" + ], + "outputs": [], + "metadata": { + "id": "R0nw719lwkHE" + } + }, + { + "cell_type": "markdown", + "source": [ + "很棒！正如你所看到的，线性回归模型并不能很好地概括包裹与其对应价格之间的关系。\n", + "\n", + "🎃 恭喜你，你刚刚创建了一个可以帮助预测几种南瓜价格的模型。你的节日南瓜田会非常漂亮。但你可能可以创建一个更好的模型！\n", + "\n", + "## 5. 构建一个多项式回归模型\n", + "\n", + "

\n", + " \n", + "

信息图由 Dasani Madipalli 制作
\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "HOCqJXLTwtWI" + } + }, + { + "cell_type": "markdown", + "source": [ + "有时候，我们的数据可能并不存在线性关系，但我们仍然希望预测结果。这时，多项式回归可以帮助我们对更复杂的非线性关系进行预测。\n", + "\n", + "以我们的南瓜数据集中的包装和价格关系为例。虽然有时变量之间存在线性关系——比如南瓜的体积越大，价格越高——但有时这些关系无法用一个平面或直线来表示。\n", + "\n", + "> ✅ 这里有[更多使用多项式回归的数据示例](https://online.stat.psu.edu/stat501/lesson/9/9.8)\n", + ">\n", + "> 再次看看之前图中品种与价格的关系。这个散点图看起来是否一定应该用一条直线来分析？可能并不是。在这种情况下，你可以尝试使用多项式回归。\n", + ">\n", + "> ✅ 多项式是可能包含一个或多个变量和系数的数学表达式\n", + "\n", + "#### 使用训练集训练一个多项式回归模型\n", + "\n", + "多项式回归会创建一条*曲线*，以更好地拟合非线性数据。\n", + "\n", + "让我们看看多项式模型是否能在预测中表现得更好。我们将遵循与之前类似的步骤：\n", + "\n", + "- 创建一个配方，指定对数据进行建模前需要执行的预处理步骤，例如：对预测变量进行编码并计算次数为 *n* 的多项式\n", + "\n", + "- 构建一个模型规范\n", + "\n", + "- 将配方和模型规范打包到一个工作流中\n", + "\n", + "- 通过拟合工作流来创建模型\n", + "\n", + "- 评估模型在测试数据上的表现\n", + "\n", + "让我们开始吧！\n" + ], + "metadata": { + "id": "VcEIpRV9wzYr" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Specify a recipe\r\n", + "poly_pumpkins_recipe <-\r\n", + " recipe(price ~ package, data = pumpkins_train) %>%\r\n", + " step_integer(all_predictors(), zero_based = TRUE) %>% \r\n", + " step_poly(all_predictors(), degree = 4)\r\n", + "\r\n", + "\r\n", + "# Create a model specification\r\n", + "poly_spec <- linear_reg() %>% \r\n", + " set_engine(\"lm\") %>% \r\n", + " set_mode(\"regression\")\r\n", + "\r\n", + "\r\n", + "# Bundle recipe and model spec into a workflow\r\n", + "poly_wf <- workflow() %>% \r\n", + " add_recipe(poly_pumpkins_recipe) %>% \r\n", + " add_model(poly_spec)\r\n", + "\r\n", + "\r\n", + "# Create a model\r\n", + "poly_wf_fit <- poly_wf %>% \r\n", + " fit(data = pumpkins_train)\r\n", + "\r\n", + "\r\n", + "# Print learned model coefficients\r\n", + "poly_wf_fit\r\n", + "\r\n", + " " + ], + "outputs": [], + "metadata": { + "id": "63n_YyRXw3CC" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### 评估模型性能\n", + "\n", + "👏👏你已经构建了一个多项式模型，现在让我们在测试集上进行预测吧！\n" + ], + "metadata": { + "id": "-LHZtztSxDP0" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make price predictions on test data\r\n", + "poly_results <- poly_wf_fit %>% predict(new_data = pumpkins_test) %>% \r\n", + " bind_cols(pumpkins_test %>% select(c(package, price))) %>% \r\n", + " relocate(.pred, .after = last_col())\r\n", + "\r\n", + "\r\n", + "# Print the results\r\n", + "poly_results %>% \r\n", + " slice_head(n = 10)" + ], + "outputs": [], + "metadata": { + "id": "YUFpQ_dKxJGx" + } + }, + { + "cell_type": "markdown", + "source": [ + "Woo-hoo，让我们使用 `yardstick::metrics()` 来评估模型在 test_set 上的表现。\n" + ], + "metadata": { + "id": "qxdyj86bxNGZ" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "metrics(data = poly_results, truth = price, estimate = .pred)" + ], + "outputs": [], + "metadata": { + "id": "8AW5ltkBxXDm" + } + }, + { + "cell_type": "markdown", + "source": [ + "🤩🤩 表现更出色。\n", + "\n", + "`rmse` 从大约 7 降至大约 3，这表明实际价格与预测价格之间的误差减少了。你可以*粗略地*理解为平均而言，错误预测的误差大约为 \\$3。`rsq` 从大约 0.4 增加到 0.8。\n", + "\n", + "所有这些指标都表明多项式模型的表现远优于线性模型。干得好！\n", + "\n", + "让我们看看是否可以将其可视化！\n" + ], + "metadata": { + "id": "6gLHNZDwxYaS" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Bind encoded package column to the results\r\n", + "poly_results <- poly_results %>% \r\n", + " bind_cols(package_encode %>% \r\n", + " rename(package_integer = package)) %>% \r\n", + " relocate(package_integer, .after = package)\r\n", + "\r\n", + "\r\n", + "# Print new results data frame\r\n", + "poly_results %>% \r\n", + " slice_head(n = 5)\r\n", + "\r\n", + "\r\n", + "# Make a scatter plot\r\n", + "poly_results %>% \r\n", + " ggplot(mapping = aes(x = package_integer, y = price)) +\r\n", + " geom_point(size = 1.6) +\r\n", + " # Overlay a line of best fit\r\n", + " geom_line(aes(y = .pred), color = \"midnightblue\", size = 1.2) +\r\n", + " xlab(\"package\")\r\n" + ], + "outputs": [], + "metadata": { + "id": "A83U16frxdF1" + } + }, + { + "cell_type": "markdown", + "source": [ + "您可以看到一条更符合您数据的曲线！🤩\n", + "\n", + "您可以通过向 `geom_smooth` 传递一个多项式公式，使其更加平滑，如下所示：\n" + ], + "metadata": { + "id": "4U-7aHOVxlGU" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make a scatter plot\r\n", + "poly_results %>% \r\n", + " ggplot(mapping = aes(x = package_integer, y = price)) +\r\n", + " geom_point(size = 1.6) +\r\n", + " # Overlay a line of best fit\r\n", + " geom_smooth(method = lm, formula = y ~ poly(x, degree = 4), color = \"midnightblue\", size = 1.2, se = FALSE) +\r\n", + " xlab(\"package\")" + ], + "outputs": [], + "metadata": { + "id": "5vzNT0Uexm-w" + } + }, + { + "cell_type": "markdown", + "source": [ + "就像一条平滑的曲线！🤩\n", + "\n", + "以下是如何进行新的预测：\n" + ], + "metadata": { + "id": "v9u-wwyLxq4G" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make a hypothetical data frame\r\n", + "hypo_tibble <- tibble(package = \"bushel baskets\")\r\n", + "\r\n", + "# Make predictions using linear model\r\n", + "lm_pred <- lm_wf_fit %>% predict(new_data = hypo_tibble)\r\n", + "\r\n", + "# Make predictions using polynomial model\r\n", + "poly_pred <- poly_wf_fit %>% predict(new_data = hypo_tibble)\r\n", + "\r\n", + "# Return predictions in a list\r\n", + "list(\"linear model prediction\" = lm_pred, \r\n", + " \"polynomial model prediction\" = poly_pred)\r\n" + ], + "outputs": [], + "metadata": { + "id": "jRPSyfQGxuQv" + } + }, + { + "cell_type": "markdown", + "source": [ + "`多项式模型`的预测是合理的，结合`价格`和`包装`的散点图来看确实如此！而且，如果这个模型比之前的模型更好，那么根据相同的数据，你需要为这些更贵的南瓜做好预算！\n", + "\n", + "🏆 干得好！你在一节课中创建了两个回归模型。在回归的最后一部分，你将学习逻辑回归以确定类别。\n", + "\n", + "## **🚀挑战**\n", + "\n", + "在这个笔记本中测试几个不同的变量，看看相关性如何影响模型的准确性。\n", + "\n", + "## [**课后测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/14/)\n", + "\n", + "## **复习与自学**\n", + "\n", + "在本课中我们学习了线性回归。还有其他重要的回归类型。阅读关于逐步回归、岭回归、套索回归和弹性网络技术的内容。一个很好的课程是[斯坦福统计学习课程](https://online.stanford.edu/courses/sohs-ystatslearning-statistical-learning)。\n", + "\n", + "如果你想了解更多关于如何使用出色的Tidymodels框架，请查看以下资源：\n", + "\n", + "- Tidymodels官网：[Tidymodels入门](https://www.tidymodels.org/start/)\n", + "\n", + "- Max Kuhn 和 Julia Silge，[*Tidy Modeling with R*](https://www.tmwr.org/)*.*\n", + "\n", + "###### **特别感谢：**\n", + "\n", + "[Allison Horst](https://twitter.com/allison_horst?lang=en) 创作了令人惊叹的插图，使R语言更加友好和吸引人。可以在她的[画廊](https://www.google.com/url?q=https://github.com/allisonhorst/stats-illustrations&sa=D&source=editors&ust=1626380772530000&usg=AOvVaw3zcfyCizFQZpkSLzxiiQEM)中找到更多插图。\n" + ], + "metadata": { + "id": "8zOLOWqMxzk5" + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/3-Linear/solution/notebook.ipynb b/translations/zh-CN/2-Regression/3-Linear/solution/notebook.ipynb new file mode 100644 index 000000000..5577a3185 --- /dev/null +++ b/translations/zh-CN/2-Regression/3-Linear/solution/notebook.ipynb @@ -0,0 +1,1113 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 南瓜定价的线性和多项式回归 - 第三课\n", + "\n", + "加载所需的库和数据集。将数据转换为包含数据子集的数据框：\n", + "\n", + "- 仅获取按蒲式耳定价的南瓜\n", + "- 将日期转换为月份\n", + "- 计算价格为高价和低价的平均值\n", + "- 将价格转换为按蒲式耳数量定价\n" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " City Name Type Package Variety Sub Variety Grade Date \\\n", + "0 BALTIMORE NaN 24 inch bins NaN NaN NaN 4/29/17 \n", + "1 BALTIMORE NaN 24 inch bins NaN NaN NaN 5/6/17 \n", + "2 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "3 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "4 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 11/5/16 \n", + "\n", + " Low Price High Price Mostly Low ... Unit of Sale Quality Condition \\\n", + "0 270.0 280.0 270.0 ... NaN NaN NaN \n", + "1 270.0 280.0 270.0 ... NaN NaN NaN \n", + "2 160.0 160.0 160.0 ... NaN NaN NaN \n", + "3 160.0 160.0 160.0 ... NaN NaN NaN \n", + "4 90.0 100.0 90.0 ... NaN NaN NaN \n", + "\n", + " Appearance Storage Crop Repack Trans Mode Unnamed: 24 Unnamed: 25 \n", + "0 NaN NaN NaN E NaN NaN NaN \n", + "1 NaN NaN NaN E NaN NaN NaN \n", + "2 NaN NaN NaN N NaN NaN NaN \n", + "3 NaN NaN NaN N NaN NaN NaN \n", + "4 NaN NaN NaN N NaN NaN NaN \n", + "\n", + "[5 rows x 26 columns]" + ] + }, + "execution_count": 167, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from datetime import datetime\n", + "\n", + "pumpkins = pd.read_csv('../../data/US-pumpkins.csv')\n", + "pumpkins.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Month DayOfYear Variety City Package Low Price \\\n", + "70 9 267 PIE TYPE BALTIMORE 1 1/9 bushel cartons 15.0 \n", + "71 9 267 PIE TYPE BALTIMORE 1 1/9 bushel cartons 18.0 \n", + "72 10 274 PIE TYPE BALTIMORE 1 1/9 bushel cartons 18.0 \n", + "73 10 274 PIE TYPE BALTIMORE 1 1/9 bushel cartons 17.0 \n", + "74 10 281 PIE TYPE BALTIMORE 1 1/9 bushel cartons 15.0 \n", + "\n", + " High Price Price \n", + "70 15.0 13.636364 \n", + "71 18.0 16.363636 \n", + "72 18.0 16.363636 \n", + "73 17.0 15.454545 \n", + "74 15.0 13.636364 " + ] + }, + "execution_count": 168, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pumpkins = pumpkins[pumpkins['Package'].str.contains('bushel', case=True, regex=True)]\n", + "\n", + "new_columns = ['Package', 'Variety', 'City Name', 'Month', 'Low Price', 'High Price', 'Date']\n", + "pumpkins = pumpkins.drop([c for c in pumpkins.columns if c not in new_columns], axis=1)\n", + "\n", + "price = (pumpkins['Low Price'] + pumpkins['High Price']) / 2\n", + "\n", + "month = pd.DatetimeIndex(pumpkins['Date']).month\n", + "day_of_year = pd.to_datetime(pumpkins['Date']).apply(lambda dt: (dt-datetime(dt.year,1,1)).days)\n", + "\n", + "new_pumpkins = pd.DataFrame(\n", + " {'Month': month, \n", + " 'DayOfYear' : day_of_year, \n", + " 'Variety': pumpkins['Variety'], \n", + " 'City': pumpkins['City Name'], \n", + " 'Package': pumpkins['Package'], \n", + " 'Low Price': pumpkins['Low Price'],\n", + " 'High Price': pumpkins['High Price'], \n", + " 'Price': price})\n", + "\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1 1/9'), 'Price'] = price/1.1\n", + "new_pumpkins.loc[new_pumpkins['Package'].str.contains('1/2'), 'Price'] = price*2\n", + "\n", + "new_pumpkins.head()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "散点图提醒我们，我们只有从八月到十二月的月度数据。我们可能需要更多数据才能以线性方式得出结论。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 169, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "new_pumpkins.plot.scatter('DayOfYear','Price')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 171, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.14878293554077535\n", + "-0.16673322492745407\n" + ] + } + ], + "source": [ + "print(new_pumpkins['Month'].corr(new_pumpkins['Price']))\n", + "print(new_pumpkins['DayOfYear'].corr(new_pumpkins['Price']))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "看起来相关性很小，但存在一些其他更重要的关系——因为上面图中的价格点似乎有几个不同的聚类。让我们制作一个图表来显示不同的南瓜品种：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax=None\n", + "colors = ['red','blue','green','yellow']\n", + "for i,var in enumerate(new_pumpkins['Variety'].unique()):\n", + " ax = new_pumpkins[new_pumpkins['Variety']==var].plot.scatter('DayOfYear','Price',ax=ax,c=colors[i],label=var)" + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 173, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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9s6r+rO8Q60mSA4A/oHu/v5OxAm/Vhh9CGV1KdBxwLPAV4Bzg1VX18F6DrSNJ9gQ+VVWH9p2lFUku9/c1OUneAPwC8PKqOr/vPJOy4W/kqaorquoVVfVI4LXAIcD9kpyf5MR+060PVfUtvPlE/doCHLqeyhss8Hs9aKCqPlNVJwEPpTvhcXhfudaTJEcA/9x3jsY8Pskds3xsT7LuLodbA3tW1ff6DjFpjoHPMmVsVd1DNzb+N2sfp11JvsR9b4raE7gF+JW1T9S0L1XVIX2H0LBZ4PCgsbvc7sObT5bkecAPxtaL7mTcnT3lkaY9Isl5c+30KpR2PQj4eWYfoy3AAl+893vibWL+su8A68w2url61hULHG7yDsGJ8UTl5Bw8vZDkT6vqFWPrn6yqn+0lVbu2V9Xf9h1i0ixwZ3abpKn57iD07sEledTY8pHAK8bWfdTf0t3Yd4DVYIHDt9brRDc92IHuVmWPxFeXBx1LVFVznudqmQUOnwQuS/Kaqnpf32Ead2tVvb7vEOuED4jWgjb8nZgASR5KNzfwXnRPjhmfI8GTmIuU5IrZLn1Lsi9w3OhJKFqEJBczz5G2D4gWeAQOQFXdnOTjwJ8Az+FHBe5VKEvz9OmFJHsBz6ebKOxh+Htckqp6at8Z1pMkv1xVfzFafkpVfWZs30mtzjuz4Y/AkxxEd9R9C/C7VXVrz5GalWQ34Bi6KXkfDXwYeEFVPazXYA2a794E8C/DpRqfW2bmPDMtzzvjETh8EDi5qu5z12WSXb0JZUlup3ti+qvoppCt0WPBtHTPmWeffxkuXeZYnm29GRZ4d73tXkm2AFdV1Q+S7A2cDPwq8JD+ojXnj+hmdnwX8L4k7+85T7Ocj37iao7l2dabseEnswL+E3Al8A7gc0lOAK6lO9P/xB5zNaeq3lpVP0U3bWeAjwAPSfKKJI/uNVyDkuwwOpcwvX6/JCcmubbPXI16TJKrRvP1TC9Prx/Qd7jlcgw8+Tu6hzl8K8l+wA3Af6iqz/UcbV1I8ji6MfFfGk3Zq0VIchzwv4E7gevppjo+C/gC8F+q6vL+0rVn9Ei1OY2e2NMcC/y+JzSurqrH9plJSnI18NyquiHJocBn6S7F/HDP0TQgFnhyO91TeKYdN75eVb+95qEalWQ7s48nhu6p9A9c40jNmuXA4stV9Zg+M7Vs7N/m9AnL6X+nTf/b9CQm/P6M9ct6SbEOVJUP4p2cvWfMK/OA8XXnlVma9fpvc8MfgUtDlOQ18+wupyxYmiQ7012w8CjgKuD0qrqr31Qrt+ELPMlfMf8ty01O9N6HWf5MZbS+I3C/qvIvvglI8qSq+kLfOVoyuqT1h3RPpH8m8NWq+p1+U62cbyh4U98B1ouZf6aO7sz8TeCldHdlapmSHEh3fuZ44Nt0D+nV4h1YVY8DSPJuuhvOmrfhC3yuSd6nJ2AC1t0k8Kstye50N0L9CvA+4ElV9c0+M7VodOnb8aOPu4CHA1uq6sY+czXqh9MLVXVX0uzNl/ey4Qt83IwJmB6KR41LMvr9vRx4AXA6cEhVfbvfVG1K8v/oHvd3DnBsVV2f5B8t72V7QpLpOf9DN0XvHXgVStvmmIDpEU7AtCxfpXv24HuA7wIvGT/S8cqJJdlGN4vjPnRP4Lmehm/57ltV7dB3htWw4QscJ2CapDfyo5JZl5dtrZWqOjrJg4BfBF6X5FHA7kkOq6p1MX6rlfMqlOR36ca6d6Ubr30/cEFVPaLXYNrQkuxUVT8cW9+bbmjqeGDfqtq3t3AajA1f4NOSPILuzXEcsD/wGuDDVfX3vQZrSJK3z7ffu1oXb3SH8EeBs4GLauyNmuThrc7docna8AWeZL+qumnGtsfRlfkLnIBp8UYzOc6pqs5cqyytS/Jg4Fh+dEDxQeDsqrq012AaFAv83k/q+FBV/WLfmaRxSR5Cd3XUccDewDlV9cp+U2kILPCxB/HO9VBeLU6S8+bb712ty5fkAcDzgJcBm6pqn54jaQC8CmX+J3VoaQ4H/olu3PZSGn5U1RCM5u94Dt1w3lOATwB/CHyyz1waDo/Ak7vpJs0P3VN4vju9i4Yv8O9Dkh2AI+kK5/HAx+nGba/pNViDkrwPeAbwabqbeT5WVd/rN5WGZsMXuFZHkh+nK/I3Aq+vqnf0HKkpoxPC51bV9r6zaLgscE3UqLifTVfem4Hz6KbuvLnPXNJ6ZIFrYpKcCTwWOJ/uSomre44krWsWuCYmyT105xPg3ieEPZ8grQILXBqgJM+bb39VnbtWWTRcFrg0QKO/Zq4cfcCMpxxV1a+tdSYNjwUuDdBoRswX0D3D8aN0l2Pe0G8qDY0FLg1Ykl2Bo+nK/MHAK+d6ipQ2nh/rO4CkeX2P7hmYd9BNebxzv3E0JB6BSwOU5Gl019IfBnyK7rLMrf2m0tBY4NIAjU5iXgVcQndJ5r3eqM6tLnAyK2moXtx3AA2fR+DSwI2mkq2qunPBF2tD8SSmNFBJfiPJTcBXgZuSfDXJb/adS8NhgUsDlORVdHOBP7WqHlxVDwaeBjxztE9yCEUaoiTXAU+YOQd4kl2AL1bVo/tJpiHxCFwaqNke4FBV/wrc00McDZAFLg3T15I8febGJEcAt/aQRwPkEIo0QEkOopsD5RLgMrrrwJ9E92zMo31MncAClwZr9FDjFwIH0c1GeA3wXp+NqWneyCMNVFV9L8lFwO10R+DXWt4a5xG4NEBJHgj8H+CJdHOC/xjwBLrhlJdU1R39pdNQWODSACU5A7gReH1V3TPaFuCPgUdV1a/0l05DYYFLA5Tk+qraf6n7tLF4GaE0TFn4JdroLHBpmD6T5NWjYZN/k+SPgc/1lEkD4xCKNECjk5jvBg6lO4lZwCHAFXQnMb/dXzoNhQUuDViSRwIHMroOvKr+IcnJVfW2fpNpCCxwqTFJbqqq/frOof45Bi61xxOcAixwqUX+2SzAW+mlQUqyndmLOsAuaxxHA+UYuCQ1yiEUqSFJdk/yyr5zaBgscGmAkuyb5NQkH0vy60nun+TNwPXA3n3n0zA4Bi4N058Dfwt8CDiK7u7La4DHVdXX+wym4XAMXBqgJF+sqieMrd8G7FdV3+8xlgbGI3BpoJLswY+u+f46cP8kuwJU1bd6C6bB8AhcGqAkN9I9fX62m3aqqh6xtok0RBa4JDXKIRRpgJIcOt/+qrp8rbJouDwClwZo9DDjuVRVHbFmYTRYFrgkNcobeaQBSvIHY8vPn7Hvv619Ig2RBS4N03Fjy384Y99RaxlEw2WBS8OUOZZnW9cGZYFLw1RzLM+2rg3Kk5jSACW5G7iTH83//d3pXcDOVbVTX9k0HBa4JDXKG3mkAUqy53z7nQtF4BG4NEhJ/pFurDvAJuAWfnTy0rlQBFjg0uAluaKqDuk7h4bHq1Ck4fMoS7OywCWpUZ7ElAYoycvGVveesU5VvWWNI2mALHBpmHYbWz5txroEeBJTkprlGLgkNcoCl6RGWeCS1ChPYkoDleQA4ETgMaNN1wKnVdV1/aXSkHgELg1QksOBi4HtwKl0V6LcCVyU5Mk9RtOAeBWKNEBJzgf+tKounrH9Z4BTquqZvQTToFjg0gAl+fuqevQc+66rqgPWOpOGxyEUaZi2z7PvzjVLoUHzJKY0TPsmefss2wM8dK3DaJgscGmYfn+efVvXLIUGzTFwqTFJdqyqu/rOof45Bi4NUJJLxpbPmrH782scRwNlgUvDtOvY8kEz9gUJC1waqvnGNh33FOBJTGmodk9yDN1B1u5JnjfaHuBB/cXSkHgSUxqgJGcwz5F2Vb147dJoqCxwSWqUY+DSACV5R5L7PEYtyWOSfKqPTBoeC1wapq8DVyZ5IUCS+yf578B5wDt7TabBcAhFGqgkPwH8Gd0DjR8CfAD4r1X13V6DaTA8ApeGa/roake69+q1lrfGWeDSACV5FfAp4M+r6t8B/x44OsnfJjmw33QaCq8Dl4ZpCjikqrYDVNXNwLFJngl8CPjJPsNpGBwDlxqT5Mer6vt951D/PAKXBmiOucDH/faaBNGgWeDSMF3WdwANn0MoktQoj8ClAUpy3nz7q+oX1iqLhssCl4bpcOCfgLOBS3EOcM3CIRRpgJLsABwJHA88Hvg4cHZVXdNrMA2KN/JIA1RVd1fVJ6rqBODJwA3AxUl+q+doGhCHUKSBSvLjwLPpjsI3A28Hzu0zk4bFIRRpgJKcCTwWOB84p6qu7jmSBsgClwYoyT3AnaPV8TdpgKqqB659Kg2NBS5JjfIkpiQ1ygKXpEZZ4JLUKAtczUtycZKfm7Ht5CT/c5Ff//okz1jgNb+a5CErySlNmgWu9eBs4LgZ244bbZ9Xkh2q6tVVtdCT3n+V7rmU0mBY4FoPPgj8/OjGF5JspivbFybZmuSaJK+bfnGSG5O8OsklwPOTnJHk2NG+J44eW3ZZkr9Jsmm0bwvw3iRXJnl2kg+Pfb8jk3iDjdacBa7mVdU3gc8DR402HQe8H3hlVW2hm0vkZ5I8fuzLvldVP11V50xvSLIT8A7g2Kp6InA68CdV9UFgK/Afq+pg4K+Bn0wyNfrSFwPvWbX/QGkOFrjWi/FhlOnhk19KcjlwBXAQMP4w4PfP8j0OoLv78YIkVwKvAh4280XV3TxxFvDLSXanmznw/In8V0hL4FwoWi8+ArwlyaHALsA/A78HPKmq/jnJGcDOY6+/8z7fobvL8ZqqOnwRP+89wF8B3wP+sqruWkF2aVk8Ate6UFXfAS6mG/Y4G3ggXUl/O8k+wDMX8W2uA6aSHA7dkEqSg0b7tgO7jf28W4Bb6I7Sz5jMf4W0NB6Baz05m262vuOq6stJrgCuAb4CfGahL66qH4xOWL49yYPo3h9vG32PM4D/leRfgcOr6l+B9wJTVfV3q/EfIy3EuVCkZUryZ8AVVfXuvrNoY7LApWVIchndEM2RVfX9vvNoY7LAJalRnsSUpEZZ4JLUKAtckhplgUtSoyxwSWrU/wdO32Yxjk19aAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "new_pumpkins.groupby('Variety')['Price'].mean().plot(kind='bar')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 174, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.2669192282197318\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 174, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pie_pumpkins = new_pumpkins[new_pumpkins['Variety']=='PIE TYPE']\n", + "print(pie_pumpkins['DayOfYear'].corr(pie_pumpkins['Price']))\n", + "pie_pumpkins.plot.scatter('DayOfYear','Price')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 线性回归\n", + "\n", + "我们将使用 Scikit Learn 来训练线性回归模型：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import r2_score, mean_squared_error, mean_absolute_error\n", + "from sklearn.model_selection import train_test_split" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean error: 2.77 (17.2%)\n" + ] + } + ], + "source": [ + "X = pie_pumpkins['DayOfYear'].to_numpy().reshape(-1,1)\n", + "y = pie_pumpkins['Price']\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)\n", + "lin_reg = LinearRegression()\n", + "lin_reg.fit(X_train,y_train)\n", + "\n", + "pred = lin_reg.predict(X_test)\n", + "\n", + "mse = np.sqrt(mean_squared_error(y_test,pred))\n", + "print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 177, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_test,y_test)\n", + "plt.plot(X_test,pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "线的斜率可以通过线性回归系数确定：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([-0.01751876]), 21.133734359909326)" + ] + }, + "execution_count": 178, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lin_reg.coef_, lin_reg.intercept_" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "我们可以使用训练好的模型来预测价格：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([16.64893156])" + ] + }, + "execution_count": 179, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Pumpkin price on programmer's day\n", + "\n", + "lin_reg.predict([[256]])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 多项式回归\n", + "\n", + "有时，特征与结果之间的关系本质上是非线性的。例如，南瓜的价格可能在冬季（月份=1,2）较高，然后在夏季（月份=5-7）下降，之后再次上涨。线性回归无法准确捕捉这种关系。\n", + "\n", + "在这种情况下，我们可以考虑添加额外的特征。一种简单的方法是从输入特征中生成多项式，这样就形成了**多项式回归**。在 Scikit Learn 中，我们可以使用管道自动预计算多项式特征：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 180, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean error: 2.73 (17.0%)\n", + "Model determination: 0.07639977655280217\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 180, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.pipeline import make_pipeline\n", + "\n", + "pipeline = make_pipeline(PolynomialFeatures(2), LinearRegression())\n", + "\n", + "pipeline.fit(X_train,y_train)\n", + "\n", + "pred = pipeline.predict(X_test)\n", + "\n", + "mse = np.sqrt(mean_squared_error(y_test,pred))\n", + "print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)')\n", + "\n", + "score = pipeline.score(X_train,y_train)\n", + "print('Model determination: ', score)\n", + "\n", + "plt.scatter(X_test,y_test)\n", + "plt.plot(sorted(X_test),pipeline.predict(sorted(X_test)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 编码品种\n", + "\n", + "在理想情况下，我们希望能够使用同一个模型预测不同南瓜品种的价格。为了考虑品种因素，我们首先需要将其转换为数值形式，也就是**编码**。有几种方法可以实现：\n", + "\n", + "* 简单的数值编码，这种方法会构建一个不同品种的表格，然后用表中的索引替换品种名称。这对于线性回归来说并不是最好的选择，因为线性回归会考虑索引的数值，而这些数值可能与价格没有直接的数值相关性。\n", + "* 独热编码（One-hot encoding），这种方法会将`Variety`列替换为4个不同的列，每个品种对应一个列。如果某一行属于某个品种，该列的值为1，否则为0。\n", + "\n", + "下面的代码展示了如何对品种进行独热编码：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 181, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " FAIRYTALE MINIATURE MIXED HEIRLOOM VARIETIES PIE TYPE\n", + "70 0 0 0 1\n", + "71 0 0 0 1\n", + "72 0 0 0 1\n", + "73 0 0 0 1\n", + "74 0 0 0 1\n", + "... ... ... ... ...\n", + "1738 0 1 0 0\n", + "1739 0 1 0 0\n", + "1740 0 1 0 0\n", + "1741 0 1 0 0\n", + "1742 0 1 0 0\n", + "\n", + "[415 rows x 4 columns]" + ] + }, + "execution_count": 181, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.get_dummies(new_pumpkins['Variety'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 品种的线性回归\n", + "\n", + "我们现在将使用与上面相同的代码，但输入将从 `DayOfYear` 改为我们经过独热编码的品种：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": {}, + "outputs": [], + "source": [ + "X = pd.get_dummies(new_pumpkins['Variety'])\n", + "y = new_pumpkins['Price']" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean error: 5.24 (19.7%)\n", + "Model determination: 0.774085281105197\n" + ] + } + ], + "source": [ + "def run_linear_regression(X,y):\n", + " X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)\n", + " lin_reg = LinearRegression()\n", + " lin_reg.fit(X_train,y_train)\n", + "\n", + " pred = lin_reg.predict(X_test)\n", + "\n", + " mse = np.sqrt(mean_squared_error(y_test,pred))\n", + " print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)')\n", + "\n", + " score = lin_reg.score(X_train,y_train)\n", + " print('Model determination: ', score)\n", + "\n", + "run_linear_regression(X,y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "我们也可以以同样的方式尝试使用其他特征，并将它们与数值特征结合，例如 `Month` 或 `DayOfYear`：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean error: 2.84 (10.5%)\n", + "Model determination: 0.9401096672643048\n" + ] + } + ], + "source": [ + "X = pd.get_dummies(new_pumpkins['Variety']) \\\n", + " .join(new_pumpkins['Month']) \\\n", + " .join(pd.get_dummies(new_pumpkins['City'])) \\\n", + " .join(pd.get_dummies(new_pumpkins['Package']))\n", + "y = new_pumpkins['Price']\n", + "\n", + "run_linear_regression(X,y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 多项式回归\n", + "\n", + "多项式回归同样可以用于经过独热编码的分类特征。训练多项式回归的代码基本上与我们之前看到的代码相同。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean error: 2.23 (8.25%)\n", + "Model determination: 0.9652870784724543\n" + ] + } + ], + "source": [ + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.pipeline import make_pipeline\n", + "\n", + "pipeline = make_pipeline(PolynomialFeatures(2), LinearRegression())\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)\n", + "\n", + "pipeline.fit(X_train,y_train)\n", + "\n", + "pred = pipeline.predict(X_test)\n", + "\n", + "mse = np.sqrt(mean_squared_error(y_test,pred))\n", + "print(f'Mean error: {mse:3.3} ({mse/np.mean(pred)*100:3.3}%)')\n", + "\n", + "score = pipeline.score(X_train,y_train)\n", + "print('Model determination: ', score)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "86193a1ab0ba47eac1c69c1756090baa3b420b3eea7d4aafab8b85f8b312f0c5" + }, + "kernelspec": { + "display_name": "Python 3.7.0 64-bit ('3.7')", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "d77bd89ae7e79780c68c58bab91f13f8", + "translation_date": "2025-09-03T19:18:23+00:00", + "source_file": "2-Regression/3-Linear/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/README.md b/translations/zh-CN/2-Regression/4-Logistic/README.md new file mode 100644 index 000000000..5fdcd816a --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/README.md @@ -0,0 +1,414 @@ +# 使用逻辑回归预测类别 + +![逻辑回归与线性回归信息图](../../../../2-Regression/4-Logistic/images/linear-vs-logistic.png) + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +> ### [本课程也提供 R 版本！](../../../../2-Regression/4-Logistic/solution/R/lesson_4.html) + +## 简介 + +在本课程中，我们将学习逻辑回归，这是经典机器学习技术之一。你可以使用这种技术发现模式以预测二元类别。例如，这颗糖果是巧克力还是不是巧克力？这种疾病是否具有传染性？这个顾客会选择这个产品还是不会？ + +在本课程中，你将学习： + +- 一个新的数据可视化库 +- 逻辑回归的技术 + +✅ 在这个 [学习模块](https://docs.microsoft.com/learn/modules/train-evaluate-classification-models?WT.mc_id=academic-77952-leestott) 中深入了解如何使用这种回归方法。 + +## 前置知识 + +通过之前的南瓜数据集练习，我们已经足够熟悉它，并意识到其中有一个可以处理的二元类别：`Color`。 + +让我们构建一个逻辑回归模型来预测给定一些变量时，_某个南瓜可能的颜色_（橙色 🎃 或白色 👻）。 + +> 为什么在回归课程中讨论二元分类？仅仅是为了语言上的方便，因为逻辑回归实际上是[一种分类方法](https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression)，尽管它是基于线性的。在下一组课程中，你将学习其他分类数据的方法。 + +## 定义问题 + +对于我们的目的，我们将问题表达为一个二元类别：“白色”或“非白色”。数据集中还有一个“条纹”类别，但实例较少，因此我们不会使用它。实际上，在移除数据集中的空值后，它也会消失。 + +> 🎃 有趣的事实：我们有时称白色南瓜为“幽灵”南瓜。它们不太容易雕刻，因此不像橙色南瓜那么受欢迎，但它们看起来很酷！所以我们也可以将问题重新表述为：“幽灵”或“非幽灵”。👻 + +## 关于逻辑回归 + +逻辑回归与之前学习的线性回归有几个重要的不同点。 + +[![机器学习初学者 - 理解逻辑回归用于分类](https://img.youtube.com/vi/KpeCT6nEpBY/0.jpg)](https://youtu.be/KpeCT6nEpBY "机器学习初学者 - 理解逻辑回归用于分类") + +> 🎥 点击上方图片观看关于逻辑回归的简短视频概述。 + +### 二元分类 + +逻辑回归与线性回归的功能不同。前者预测二元类别（例如“白色或非白色”），而后者能够预测连续值，例如根据南瓜的产地和收获时间，_价格将上涨多少_。 + +![南瓜分类模型](../../../../2-Regression/4-Logistic/images/pumpkin-classifier.png) +> 信息图由 [Dasani Madipalli](https://twitter.com/dasani_decoded) 提供 + +### 其他分类 + +逻辑回归还有其他类型，包括多项式和有序分类： + +- **多项式分类**：涉及多个类别，例如“橙色、白色和条纹”。 +- **有序分类**：涉及有序类别，适用于逻辑排序的结果，例如按有限大小排序的南瓜（迷你、小、中、大、特大、超大）。 + +![多项式分类与有序分类](../../../../2-Regression/4-Logistic/images/multinomial-vs-ordinal.png) + +### 变量不需要相关 + +还记得线性回归在变量相关性较高时效果更好吗？逻辑回归正好相反——变量不需要相关性。这适用于数据中相关性较弱的情况。 + +### 需要大量干净数据 + +逻辑回归在使用更多数据时会给出更准确的结果；我们的数据集较小，因此并不理想。 + +[![机器学习初学者 - 数据分析与准备用于逻辑回归](https://img.youtube.com/vi/B2X4H9vcXTs/0.jpg)](https://youtu.be/B2X4H9vcXTs "机器学习初学者 - 数据分析与准备用于逻辑回归") + +> 🎥 点击上方图片观看关于准备线性回归数据的简短视频概述。 + +✅ 思考哪些类型的数据适合逻辑回归。 + +## 练习 - 整理数据 + +首先，清理数据，删除空值并选择部分列： + +1. 添加以下代码： + + ```python + + columns_to_select = ['City Name','Package','Variety', 'Origin','Item Size', 'Color'] + pumpkins = full_pumpkins.loc[:, columns_to_select] + + pumpkins.dropna(inplace=True) + ``` + + 你可以随时查看新的数据框： + + ```python + pumpkins.info + ``` + +### 可视化 - 分类图 + +现在你已经加载了[起始笔记本](../../../../2-Regression/4-Logistic/notebook.ipynb)，其中包含南瓜数据，并清理了数据以保留一些变量，包括 `Color`。让我们使用一个不同的库 [Seaborn](https://seaborn.pydata.org/index.html) 在笔记本中可视化数据框。Seaborn 是基于我们之前使用的 Matplotlib 构建的。 + +Seaborn 提供了一些很棒的方式来可视化数据。例如，你可以在分类图中比较 `Variety` 和 `Color` 数据的分布。 + +1. 使用 `catplot` 函数创建这样的图，使用南瓜数据 `pumpkins`，并为每个南瓜类别（橙色或白色）指定颜色映射： + + ```python + import seaborn as sns + + palette = { + 'ORANGE': 'orange', + 'WHITE': 'wheat', + } + + sns.catplot( + data=pumpkins, y="Variety", hue="Color", kind="count", + palette=palette, + ) + ``` + + ![数据可视化网格](../../../../2-Regression/4-Logistic/images/pumpkins_catplot_1.png) + + 通过观察数据，你可以看到 `Color` 数据与 `Variety` 的关系。 + + ✅ 根据这个分类图，你能想到哪些有趣的探索？ + +### 数据预处理：特征和标签编码 + +我们的南瓜数据集的所有列都包含字符串值。处理分类数据对人类来说很直观，但对机器来说却不然。机器学习算法更适合处理数字数据。这就是为什么编码是数据预处理阶段非常重要的一步，它使我们能够将分类数据转换为数值数据，而不会丢失任何信息。良好的编码有助于构建良好的模型。 + +对于特征编码，主要有两种编码器： + +1. **有序编码器**：适用于有序变量，即数据具有逻辑顺序的分类变量，例如数据集中的 `Item Size` 列。它创建一个映射，使每个类别由一个数字表示，该数字是列中类别的顺序。 + + ```python + from sklearn.preprocessing import OrdinalEncoder + + item_size_categories = [['sml', 'med', 'med-lge', 'lge', 'xlge', 'jbo', 'exjbo']] + ordinal_features = ['Item Size'] + ordinal_encoder = OrdinalEncoder(categories=item_size_categories) + ``` + +2. **分类编码器**：适用于无序变量，即数据没有逻辑顺序的分类变量，例如数据集中除 `Item Size` 之外的所有特征。它是一种独热编码，这意味着每个类别由一个二进制列表示：如果南瓜属于该类别，则编码变量为 1，否则为 0。 + + ```python + from sklearn.preprocessing import OneHotEncoder + + categorical_features = ['City Name', 'Package', 'Variety', 'Origin'] + categorical_encoder = OneHotEncoder(sparse_output=False) + ``` + +然后，使用 `ColumnTransformer` 将多个编码器合并为一个步骤，并将其应用于适当的列。 + +```python + from sklearn.compose import ColumnTransformer + + ct = ColumnTransformer(transformers=[ + ('ord', ordinal_encoder, ordinal_features), + ('cat', categorical_encoder, categorical_features) + ]) + + ct.set_output(transform='pandas') + encoded_features = ct.fit_transform(pumpkins) +``` + +另一方面，为了编码标签，我们使用 scikit-learn 的 `LabelEncoder` 类，这是一个实用类，用于将标签标准化，使其仅包含 0 到 n_classes-1（这里是 0 和 1）之间的值。 + +```python + from sklearn.preprocessing import LabelEncoder + + label_encoder = LabelEncoder() + encoded_label = label_encoder.fit_transform(pumpkins['Color']) +``` + +完成特征和标签编码后，我们可以将它们合并为一个新的数据框 `encoded_pumpkins`。 + +```python + encoded_pumpkins = encoded_features.assign(Color=encoded_label) +``` + +✅ 使用有序编码器处理 `Item Size` 列有哪些优势？ + +### 分析变量之间的关系 + +现在我们已经对数据进行了预处理，可以分析特征和标签之间的关系，以了解模型在给定特征的情况下预测标签的能力。 + +分析这种关系的最佳方式是绘制数据。我们将再次使用 Seaborn 的 `catplot` 函数，以分类图的形式可视化 `Item Size`、`Variety` 和 `Color` 之间的关系。为了更好地绘制数据，我们将使用编码后的 `Item Size` 列和未编码的 `Variety` 列。 + +```python + palette = { + 'ORANGE': 'orange', + 'WHITE': 'wheat', + } + pumpkins['Item Size'] = encoded_pumpkins['ord__Item Size'] + + g = sns.catplot( + data=pumpkins, + x="Item Size", y="Color", row='Variety', + kind="box", orient="h", + sharex=False, margin_titles=True, + height=1.8, aspect=4, palette=palette, + ) + g.set(xlabel="Item Size", ylabel="").set(xlim=(0,6)) + g.set_titles(row_template="{row_name}") +``` + +![数据分类图](../../../../2-Regression/4-Logistic/images/pumpkins_catplot_2.png) + +### 使用蜂群图 + +由于 `Color` 是一个二元类别（白色或非白色），它需要“[一种专门的方法](https://seaborn.pydata.org/tutorial/categorical.html?highlight=bar)来可视化”。还有其他方法可以可视化此类别与其他变量的关系。 + +你可以使用 Seaborn 图表并排可视化变量。 + +1. 尝试使用“蜂群图”来显示值的分布： + + ```python + palette = { + 0: 'orange', + 1: 'wheat' + } + sns.swarmplot(x="Color", y="ord__Item Size", data=encoded_pumpkins, palette=palette) + ``` + + ![数据蜂群图](../../../../2-Regression/4-Logistic/images/swarm_2.png) + +**注意**：上述代码可能会生成警告，因为 Seaborn 无法在蜂群图中表示如此多的数据点。一个可能的解决方案是通过使用 `size` 参数减小标记的大小。然而，请注意，这会影响图表的可读性。 + +> **🧮 数学原理** +> +> 逻辑回归依赖于“最大似然”概念，使用[Sigmoid 函数](https://wikipedia.org/wiki/Sigmoid_function)。在图表上，Sigmoid 函数看起来像一个“S”形。它将一个值映射到 0 和 1 之间的某个位置。它的曲线也被称为“逻辑曲线”。其公式如下： +> +> ![逻辑函数](../../../../2-Regression/4-Logistic/images/sigmoid.png) +> +> 其中，Sigmoid 的中点位于 x 的 0 点，L 是曲线的最大值，k 是曲线的陡度。如果函数的结果大于 0.5，则该标签将被归类为二元选择中的“1”。否则，将被归类为“0”。 + +## 构建模型 + +在 Scikit-learn 中构建一个用于二元分类的模型非常简单。 + +[![机器学习初学者 - 用逻辑回归进行数据分类](https://img.youtube.com/vi/MmZS2otPrQ8/0.jpg)](https://youtu.be/MmZS2otPrQ8 "机器学习初学者 - 用逻辑回归进行数据分类") + +> 🎥 点击上方图片观看关于构建线性回归模型的简短视频概述。 + +1. 选择你想在分类模型中使用的变量，并调用 `train_test_split()` 分割训练集和测试集： + + ```python + from sklearn.model_selection import train_test_split + + X = encoded_pumpkins[encoded_pumpkins.columns.difference(['Color'])] + y = encoded_pumpkins['Color'] + + X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0) + + ``` + +2. 现在你可以通过调用 `fit()` 使用训练数据训练模型，并打印结果： + + ```python + from sklearn.metrics import f1_score, classification_report + from sklearn.linear_model import LogisticRegression + + model = LogisticRegression() + model.fit(X_train, y_train) + predictions = model.predict(X_test) + + print(classification_report(y_test, predictions)) + print('Predicted labels: ', predictions) + print('F1-score: ', f1_score(y_test, predictions)) + ``` + + 查看模型的评分。考虑到数据只有大约 1000 行，结果还不错： + + ```output + precision recall f1-score support + + 0 0.94 0.98 0.96 166 + 1 0.85 0.67 0.75 33 + + accuracy 0.92 199 + macro avg 0.89 0.82 0.85 199 + weighted avg 0.92 0.92 0.92 199 + + Predicted labels: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 + 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 + 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 0 0 0 1 0 0 0 0 0 0 0 0 1 1] + F1-score: 0.7457627118644068 + ``` + +## 使用混淆矩阵更好地理解模型 + +虽然你可以通过打印上述项获得评分报告[术语](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.classification_report.html?highlight=classification_report#sklearn.metrics.classification_report)，但使用[混淆矩阵](https://scikit-learn.org/stable/modules/model_evaluation.html#confusion-matrix)可能更容易理解模型的表现。 + +> 🎓 “[混淆矩阵](https://wikipedia.org/wiki/Confusion_matrix)”（或“误差矩阵”）是一个表格，用于表达模型的真实与预测的正负情况，从而评估预测的准确性。 + +1. 要使用混淆矩阵，调用 `confusion_matrix()`： + + ```python + from sklearn.metrics import confusion_matrix + confusion_matrix(y_test, predictions) + ``` + + 查看模型的混淆矩阵： + + ```output + array([[162, 4], + [ 11, 22]]) + ``` + +在 Scikit-learn 中，混淆矩阵的行（轴 0）是实际标签，列（轴 1）是预测标签。 + +| | 0 | 1 | +| :---: | :---: | :---: | +| 0 | TN | FP | +| 1 | FN | TP | + +这里发生了什么？假设我们的模型被要求在两个二元类别之间对南瓜进行分类，“白色”和“非白色”。 + +- 如果模型预测南瓜为非白色，而实际上属于“非白色”类别，我们称之为真负（True Negative），显示在左上角。 +- 如果模型预测南瓜为白色，而实际上属于“非白色”类别，我们称之为假负（False Negative），显示在左下角。 +- 如果模型预测南瓜为非白色，而实际上属于“白色”类别，我们称之为假正（False Positive），显示在右上角。 +- 如果模型预测南瓜为白色，而实际上属于“白色”类别，我们称之为真正（True Positive），显示在右下角。 + +正如你可能猜到的，较多的真正和真负以及较少的假正和假负表明模型表现更好。 +混淆矩阵如何与精确率和召回率相关联？请记住，上面打印的分类报告显示精确率为 0.85，召回率为 0.67。 + +精确率 = tp / (tp + fp) = 22 / (22 + 4) = 0.8461538461538461 + +召回率 = tp / (tp + fn) = 22 / (22 + 11) = 0.6666666666666666 + +✅ 问：根据混淆矩阵，模型表现如何？ +答：还不错；有相当多的真正例，但也有一些假负例。 + +让我们通过混淆矩阵中 TP/TN 和 FP/FN 的映射，重新回顾之前提到的术语： + +🎓 精确率（Precision）：TP/(TP + FP) +检索到的实例中，相关实例的比例（例如，哪些标签被正确标记）。 + +🎓 召回率（Recall）：TP/(TP + FN) +相关实例中被检索到的比例，无论是否被正确标记。 + +🎓 F1 分数（f1-score）：(2 * precision * recall)/(precision + recall) +精确率和召回率的加权平均值，最佳值为 1，最差值为 0。 + +🎓 支持度（Support）： +每个标签被检索到的次数。 + +🎓 准确率（Accuracy）：(TP + TN)/(TP + TN + FP + FN) +样本中标签被正确预测的百分比。 + +🎓 宏平均（Macro Avg）： +对每个标签的指标进行无权重平均的计算，不考虑标签的不平衡。 + +🎓 加权平均（Weighted Avg）： +对每个标签的指标进行加权平均的计算，权重由支持度（每个标签的真实实例数）决定。 + +✅ 你能想到如果想减少假负例的数量，应该关注哪个指标吗？ + +## 可视化该模型的 ROC 曲线 + +[![机器学习入门 - 使用 ROC 曲线分析逻辑回归性能](https://img.youtube.com/vi/GApO575jTA0/0.jpg)](https://youtu.be/GApO575jTA0 "机器学习入门 - 使用 ROC 曲线分析逻辑回归性能") + +> 🎥 点击上方图片观看关于 ROC 曲线的简短视频概述 + +让我们再做一个可视化，看看所谓的“ROC”曲线： + +```python +from sklearn.metrics import roc_curve, roc_auc_score +import matplotlib +import matplotlib.pyplot as plt +%matplotlib inline + +y_scores = model.predict_proba(X_test) +fpr, tpr, thresholds = roc_curve(y_test, y_scores[:,1]) + +fig = plt.figure(figsize=(6, 6)) +plt.plot([0, 1], [0, 1], 'k--') +plt.plot(fpr, tpr) +plt.xlabel('False Positive Rate') +plt.ylabel('True Positive Rate') +plt.title('ROC Curve') +plt.show() +``` + +使用 Matplotlib 绘制模型的 [接收者操作特性曲线（ROC）](https://scikit-learn.org/stable/auto_examples/model_selection/plot_roc.html?highlight=roc)。ROC 曲线通常用于查看分类器输出的真阳性与假阳性之间的关系。“ROC 曲线通常以真阳性率为 Y 轴，假阳性率为 X 轴。”因此，曲线的陡峭程度以及曲线与中线之间的空间很重要：你希望曲线迅速向上并越过中线。在我们的例子中，起初有一些假阳性，然后曲线正确地向上并越过中线： + +![ROC](../../../../2-Regression/4-Logistic/images/ROC_2.png) + +最后，使用 Scikit-learn 的 [`roc_auc_score` API](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.roc_auc_score.html?highlight=roc_auc#sklearn.metrics.roc_auc_score) 计算实际的“曲线下面积”（AUC）： + +```python +auc = roc_auc_score(y_test,y_scores[:,1]) +print(auc) +``` +结果是 `0.9749908725812341`。由于 AUC 的范围是 0 到 1，你希望分数越大越好，因为一个 100% 正确预测的模型的 AUC 为 1；在这种情况下，该模型表现“相当不错”。 + +在未来的分类课程中，你将学习如何迭代以提高模型的分数。但现在，恭喜你！你已经完成了这些回归课程！ + +--- + +## 🚀挑战 + +关于逻辑回归还有很多内容可以深入探讨！但最好的学习方式是动手实践。找到一个适合这种分析的数据集，并用它构建一个模型。你学到了什么？提示：试试 [Kaggle](https://www.kaggle.com/search?q=logistic+regression+datasets) 上的一些有趣数据集。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +阅读 [斯坦福大学的这篇论文](https://web.stanford.edu/~jurafsky/slp3/5.pdf) 的前几页，了解逻辑回归的一些实际应用。思考哪些任务更适合我们到目前为止学习的回归类型。哪种方法效果更好？ + +## 作业 + +[重试这个回归任务](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/assignment.md b/translations/zh-CN/2-Regression/4-Logistic/assignment.md new file mode 100644 index 000000000..88dafe245 --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/assignment.md @@ -0,0 +1,16 @@ +# 重试一些回归 + +## 说明 + +在课程中，你使用了南瓜数据的一个子集。现在，请回到原始数据，尝试使用全部数据（经过清理和标准化）来构建一个逻辑回归模型。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | --------------------------------------------------------------------- | ------------------------------------------------------------ | ---------------------------------------------------------- | +| | 提交的笔记本包含一个解释清晰且表现良好的模型 | 提交的笔记本包含一个表现最低限度的模型 | 提交的笔记本包含一个表现不佳的模型或未提交模型 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/notebook.ipynb b/translations/zh-CN/2-Regression/4-Logistic/notebook.ipynb new file mode 100644 index 000000000..e63e7e00d --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/notebook.ipynb @@ -0,0 +1,269 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 南瓜品种与颜色\n", + "\n", + "加载所需的库和数据集。将数据转换为包含数据子集的数据框：\n", + "\n", + "让我们来看看颜色与品种之间的关系\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " City Name Type Package Variety Sub Variety Grade Date \\\n", + "0 BALTIMORE NaN 24 inch bins NaN NaN NaN 4/29/17 \n", + "1 BALTIMORE NaN 24 inch bins NaN NaN NaN 5/6/17 \n", + "2 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "3 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "4 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 11/5/16 \n", + "\n", + " Low Price High Price Mostly Low ... Unit of Sale Quality Condition \\\n", + "0 270.0 280.0 270.0 ... NaN NaN NaN \n", + "1 270.0 280.0 270.0 ... NaN NaN NaN \n", + "2 160.0 160.0 160.0 ... NaN NaN NaN \n", + "3 160.0 160.0 160.0 ... NaN NaN NaN \n", + "4 90.0 100.0 90.0 ... NaN NaN NaN \n", + "\n", + " Appearance Storage Crop Repack Trans Mode Unnamed: 24 Unnamed: 25 \n", + "0 NaN NaN NaN E NaN NaN NaN \n", + "1 NaN NaN NaN E NaN NaN NaN \n", + "2 NaN NaN NaN N NaN NaN NaN \n", + "3 NaN NaN NaN N NaN NaN NaN \n", + "4 NaN NaN NaN N NaN NaN NaN \n", + "\n", + "[5 rows x 26 columns]" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "full_pumpkins = pd.read_csv('../data/US-pumpkins.csv')\n", + "\n", + "full_pumpkins.head()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.1" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "dee08c2b49057b0de8b6752c4dbca368", + "translation_date": "2025-09-03T19:30:06+00:00", + "source_file": "2-Regression/4-Logistic/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/solution/Julia/README.md b/translations/zh-CN/2-Regression/4-Logistic/solution/Julia/README.md new file mode 100644 index 000000000..f30fc4eeb --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/solution/R/lesson_4-R.ipynb b/translations/zh-CN/2-Regression/4-Logistic/solution/R/lesson_4-R.ipynb new file mode 100644 index 000000000..6a61a9f92 --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/solution/R/lesson_4-R.ipynb @@ -0,0 +1,685 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 构建逻辑回归模型 - 第4课\n", + "\n", + "![逻辑回归与线性回归信息图](../../../../../../translated_images/zh-CN/linear-vs-logistic.ba180bf95e7ee667.webp)\n", + "\n", + "#### **[课前测验](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/15/)**\n", + "\n", + "#### 介绍\n", + "\n", + "在关于回归的最后一课中，我们将学习一种经典的机器学习技术——逻辑回归。你可以使用这种技术发现模式来预测二元分类。例如，这颗糖果是巧克力还是不是？这种疾病是否具有传染性？这个顾客是否会选择这个产品？\n", + "\n", + "在本课中，你将学习：\n", + "\n", + "- 逻辑回归的技术\n", + "\n", + "✅ 在这个 [学习模块](https://learn.microsoft.com/training/modules/introduction-classification-models/?WT.mc_id=academic-77952-leestott) 中深入了解如何使用这种回归方法。\n", + "\n", + "## 前置知识\n", + "\n", + "在之前使用南瓜数据的过程中，我们已经足够熟悉它，并意识到其中有一个可以使用的二元分类：`Color`。\n", + "\n", + "让我们构建一个逻辑回归模型，根据一些变量来预测*某个南瓜可能的颜色*（橙色 🎃 或白色 👻）。\n", + "\n", + "> 为什么我们在关于回归的课程中讨论二元分类？仅仅是为了语言上的方便，因为逻辑回归实际上是[一种分类方法](https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression)，尽管它是基于线性的方法。在下一组课程中，你将学习其他分类数据的方法。\n", + "\n", + "在本课中，我们需要以下软件包：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个 [R 包集合](https://www.tidyverse.org/packages)，旨在让数据科学更快、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个 [包集合](https://www.tidymodels.org/packages)，用于建模和机器学习。\n", + "\n", + "- `janitor`： [janitor 包](https://github.com/sfirke/janitor) 提供了一些简单的小工具，用于检查和清理脏数据。\n", + "\n", + "- `ggbeeswarm`： [ggbeeswarm 包](https://github.com/eclarke/ggbeeswarm) 提供了使用 ggplot2 创建蜜蜂群图的方法。\n", + "\n", + "你可以通过以下方式安装它们：\n", + "\n", + "`install.packages(c(\"tidyverse\", \"tidymodels\", \"janitor\", \"ggbeeswarm\"))`\n", + "\n", + "或者，下面的脚本会检查你是否已经安装了完成本模块所需的软件包，并在缺少时为你安装它们。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "suppressWarnings(if (!require(\"pacman\"))install.packages(\"pacman\"))\n", + "\n", + "pacman::p_load(tidyverse, tidymodels, janitor, ggbeeswarm)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## **定义问题**\n", + "\n", + "在我们的场景中，我们将问题定义为一个二元分类：“白色”或“非白色”。我们的数据集中还有一个“条纹”类别，但它的样本数量很少，因此我们不会使用它。实际上，当我们从数据集中移除空值后，这个类别也会消失。\n", + "\n", + "> 🎃 有趣的事实：我们有时会把白色南瓜称为“幽灵”南瓜。它们不太容易雕刻，因此不像橙色南瓜那么受欢迎，但它们看起来很酷！所以我们也可以将问题重新表述为：“幽灵”或“非幽灵”。👻\n", + "\n", + "## **关于逻辑回归**\n", + "\n", + "逻辑回归与之前学习的线性回归在几个重要方面有所不同。\n", + "\n", + "#### **二元分类**\n", + "\n", + "逻辑回归不具备线性回归的相同功能。前者提供关于`二元类别`（例如“橙色或非橙色”）的预测，而后者能够预测`连续值`，例如根据南瓜的产地和收获时间，*预测其价格将上涨多少*。\n", + "\n", + "![Dasani Madipalli制作的信息图](../../../../../../translated_images/zh-CN/pumpkin-classifier.562771f104ad5436.webp)\n", + "\n", + "### 其他分类方式\n", + "\n", + "逻辑回归还有其他类型，包括多项式和有序分类：\n", + "\n", + "- **多项式分类**，涉及多个类别——例如“橙色、白色和条纹”。\n", + "\n", + "- **有序分类**，涉及有序的类别，这在我们需要逻辑地排列结果时很有用，例如按南瓜的有限尺寸（迷你、小、中、大、特大、超大）进行排序。\n", + "\n", + "![多项式分类 vs 有序分类](../../../../../../translated_images/zh-CN/multinomial-vs-ordinal.36701b4850e37d86.webp)\n", + "\n", + "#### **变量不需要相关**\n", + "\n", + "还记得线性回归在变量相关性较强时效果更好吗？逻辑回归正好相反——变量不需要相关性。这非常适合我们的数据，因为它的相关性较弱。\n", + "\n", + "#### **需要大量干净的数据**\n", + "\n", + "如果使用更多数据，逻辑回归会提供更准确的结果；我们的数据集较小，因此并不是完成这项任务的最佳选择，请记住这一点。\n", + "\n", + "✅ 思考哪些类型的数据适合逻辑回归\n", + "\n", + "## 练习 - 整理数据\n", + "\n", + "首先，稍微清理一下数据，删除空值并选择部分列：\n", + "\n", + "1. 添加以下代码：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Load the core tidyverse packages\n", + "library(tidyverse)\n", + "\n", + "# Import the data and clean column names\n", + "pumpkins <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/2-Regression/data/US-pumpkins.csv\") %>% \n", + " clean_names()\n", + "\n", + "# Select desired columns\n", + "pumpkins_select <- pumpkins %>% \n", + " select(c(city_name, package, variety, origin, item_size, color)) \n", + "\n", + "# Drop rows containing missing values and encode color as factor (category)\n", + "pumpkins_select <- pumpkins_select %>% \n", + " drop_na() %>% \n", + " mutate(color = factor(color))\n", + "\n", + "# View the first few rows\n", + "pumpkins_select %>% \n", + " slice_head(n = 5)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "您可以随时使用 [*glimpse()*](https://pillar.r-lib.org/reference/glimpse.html) 函数来快速查看新的数据框，如下所示：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "pumpkins_select %>% \n", + " glimpse()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "让我们确认一下，我们实际上是在处理一个二分类问题：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Subset distinct observations in outcome column\n", + "pumpkins_select %>% \n", + " distinct(color)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 可视化 - 分类图\n", + "到目前为止，您已经再次加载了南瓜数据并进行了清理，以保留包含一些变量（包括颜色）的数据集。现在让我们使用 ggplot 库在笔记本中可视化这个数据框。\n", + "\n", + "ggplot 库提供了一些很棒的方法来可视化您的数据。例如，您可以在分类图中比较每种品种和颜色的数据分布。\n", + "\n", + "1. 使用 geombar 函数创建这样的图表，使用我们的南瓜数据，并为每种南瓜类别（橙色或白色）指定颜色映射：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "python" + } + }, + "outputs": [], + "source": [ + "# Specify colors for each value of the hue variable\n", + "palette <- c(ORANGE = \"orange\", WHITE = \"wheat\")\n", + "\n", + "# Create the bar plot\n", + "ggplot(pumpkins_select, aes(y = variety, fill = color)) +\n", + " geom_bar(position = \"dodge\") +\n", + " scale_fill_manual(values = palette) +\n", + " labs(y = \"Variety\", fill = \"Color\") +\n", + " theme_minimal()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "通过观察数据，可以看到颜色数据与品种之间的关系。\n", + "\n", + "✅ 根据这个分类图，你能想到哪些有趣的探索方向？\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 数据预处理：特征编码\n", + "\n", + "我们的南瓜数据集的所有列都包含字符串值。处理分类数据对人类来说很直观，但对机器来说却不是这样。机器学习算法更擅长处理数字数据。这就是为什么编码是数据预处理阶段中非常重要的一步，因为它使我们能够将分类数据转换为数值数据，同时不丢失任何信息。良好的编码能够帮助我们构建一个优秀的模型。\n", + "\n", + "对于特征编码，主要有两种类型的编码器：\n", + "\n", + "1. **序数编码器（Ordinal encoder）**：适用于序数变量，这类变量是具有逻辑顺序的分类变量，比如我们数据集中的 `item_size` 列。它会创建一个映射，使每个类别用一个数字表示，这个数字对应类别在列中的顺序。\n", + "\n", + "2. **分类编码器（Categorical encoder）**：适用于名义变量，这类变量是没有逻辑顺序的分类变量，比如我们数据集中除了 `item_size` 以外的所有特征。这是一种独热编码（one-hot encoding），意味着每个类别都会用一个二进制列表示：如果南瓜属于该类别，则编码变量等于1，否则为0。\n", + "\n", + "Tidymodels 提供了另一个非常实用的包：[recipes](https://recipes.tidymodels.org/)，这是一个用于数据预处理的包。我们将定义一个 `recipe`，指定所有预测列都应该被编码为一组整数，然后通过 `prep` 来估算任何操作所需的量和统计数据，最后通过 `bake` 将这些计算应用到新数据上。\n", + "\n", + "> 通常情况下，recipes 通常用作建模的预处理器，它定义了为了让数据集适合建模需要应用哪些步骤。在这种情况下，**强烈建议** 使用 `workflow()`，而不是手动通过 prep 和 bake 来估算 recipe。我们稍后会详细讲解这一点。\n", + ">\n", + "> 不过目前，我们使用 recipes + prep + bake 来指定对数据集需要应用哪些步骤，以便让数据集准备好进行数据分析，然后提取应用了这些步骤的预处理数据。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Preprocess and extract data to allow some data analysis\n", + "baked_pumpkins <- recipe(color ~ ., data = pumpkins_select) %>%\n", + " # Define ordering for item_size column\n", + " step_mutate(item_size = ordered(item_size, levels = c('sml', 'med', 'med-lge', 'lge', 'xlge', 'jbo', 'exjbo'))) %>%\n", + " # Convert factors to numbers using the order defined above (Ordinal encoding)\n", + " step_integer(item_size, zero_based = F) %>%\n", + " # Encode all other predictors using one hot encoding\n", + " step_dummy(all_nominal(), -all_outcomes(), one_hot = TRUE) %>%\n", + " prep(data = pumpkin_select) %>%\n", + " bake(new_data = NULL)\n", + "\n", + "# Display the first few rows of preprocessed data\n", + "baked_pumpkins %>% \n", + " slice_head(n = 5)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "✅ 使用序数编码器对 Item Size 列进行编码有哪些优势？\n", + "\n", + "### 分析变量之间的关系\n", + "\n", + "现在我们已经对数据进行了预处理，可以分析特征与标签之间的关系，以了解模型在给定特征的情况下预测标签的能力。这类分析的最佳方式是对数据进行可视化。 \n", + "我们将再次使用 ggplot 的 geom_boxplot_ 函数，以分类图的形式展示 Item Size、Variety 和 Color 之间的关系。为了更好地绘制数据，我们将使用编码后的 Item Size 列和未编码的 Variety 列。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Define the color palette\n", + "palette <- c(ORANGE = \"orange\", WHITE = \"wheat\")\n", + "\n", + "# We need the encoded Item Size column to use it as the x-axis values in the plot\n", + "pumpkins_select_plot<-pumpkins_select\n", + "pumpkins_select_plot$item_size <- baked_pumpkins$item_size\n", + "\n", + "# Create the grouped box plot\n", + "ggplot(pumpkins_select_plot, aes(x = `item_size`, y = color, fill = color)) +\n", + " geom_boxplot() +\n", + " facet_grid(variety ~ ., scales = \"free_x\") +\n", + " scale_fill_manual(values = palette) +\n", + " labs(x = \"Item Size\", y = \"\") +\n", + " theme_minimal() +\n", + " theme(strip.text = element_text(size = 12)) +\n", + " theme(axis.text.x = element_text(size = 10)) +\n", + " theme(axis.title.x = element_text(size = 12)) +\n", + " theme(axis.title.y = element_blank()) +\n", + " theme(legend.position = \"bottom\") +\n", + " guides(fill = guide_legend(title = \"Color\")) +\n", + " theme(panel.spacing = unit(0.5, \"lines\"))+\n", + " theme(strip.text.y = element_text(size = 4, hjust = 0)) \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 使用群集图\n", + "\n", + "由于颜色是一个二元类别（白色或非白色），它需要一种“[专门的方法](https://github.com/rstudio/cheatsheets/blob/main/data-visualization.pdf)”来进行可视化。\n", + "\n", + "尝试使用`群集图`来展示颜色相对于item_size的分布。\n", + "\n", + "我们将使用[ggbeeswarm包](https://github.com/eclarke/ggbeeswarm)，该包提供了使用ggplot2创建蜂群式图的方法。蜂群图是一种将通常会重叠的点排列在彼此旁边的绘图方式。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Create beeswarm plots of color and item_size\n", + "baked_pumpkins %>% \n", + " mutate(color = factor(color)) %>% \n", + " ggplot(mapping = aes(x = color, y = item_size, color = color)) +\n", + " geom_quasirandom() +\n", + " scale_color_brewer(palette = \"Dark2\", direction = -1) +\n", + " theme(legend.position = \"none\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "现在我们已经了解了颜色的二元分类与更大尺寸类别之间的关系，接下来让我们探索逻辑回归，以确定某个南瓜可能的颜色。\n", + "\n", + "## 构建模型\n", + "\n", + "选择您想在分类模型中使用的变量，并将数据分为训练集和测试集。[rsample](https://rsample.tidymodels.org/) 是 Tidymodels 中的一个包，它提供了高效的数据分割和重采样的基础设施：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Split data into 80% for training and 20% for testing\n", + "set.seed(2056)\n", + "pumpkins_split <- pumpkins_select %>% \n", + " initial_split(prop = 0.8)\n", + "\n", + "# Extract the data in each split\n", + "pumpkins_train <- training(pumpkins_split)\n", + "pumpkins_test <- testing(pumpkins_split)\n", + "\n", + "# Print out the first 5 rows of the training set\n", + "pumpkins_train %>% \n", + " slice_head(n = 5)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "🙌 我们现在准备通过将训练特征与训练标签（颜色）进行拟合来训练模型。\n", + "\n", + "我们将首先创建一个配方，用于指定对数据进行建模前的预处理步骤，例如：将分类变量编码为一组整数。就像 `baked_pumpkins` 一样，我们创建了一个 `pumpkins_recipe`，但不会立即 `prep` 和 `bake`，因为这些步骤会被整合到一个工作流中，稍后您会看到具体操作。\n", + "\n", + "在 Tidymodels 中，有很多方法可以指定逻辑回归模型。请参阅 `?logistic_reg()`。目前，我们将通过默认的 `stats::glm()` 引擎来指定一个逻辑回归模型。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Create a recipe that specifies preprocessing steps for modelling\n", + "pumpkins_recipe <- recipe(color ~ ., data = pumpkins_train) %>% \n", + " step_mutate(item_size = ordered(item_size, levels = c('sml', 'med', 'med-lge', 'lge', 'xlge', 'jbo', 'exjbo'))) %>%\n", + " step_integer(item_size, zero_based = F) %>% \n", + " step_dummy(all_nominal(), -all_outcomes(), one_hot = TRUE)\n", + "\n", + "# Create a logistic model specification\n", + "log_reg <- logistic_reg() %>% \n", + " set_engine(\"glm\") %>% \n", + " set_mode(\"classification\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "现在我们已经有了一个配方和一个模型规范，我们需要找到一种方法将它们打包成一个对象。这个对象将首先对数据进行预处理（在幕后完成 prep 和 bake 操作），然后在预处理后的数据上拟合模型，同时还支持潜在的后处理操作。\n", + "\n", + "在 Tidymodels 中，这个方便的对象被称为 [`workflow`](https://workflows.tidymodels.org/)，它能够方便地容纳你的建模组件。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Bundle modelling components in a workflow\n", + "log_reg_wf <- workflow() %>% \n", + " add_recipe(pumpkins_recipe) %>% \n", + " add_model(log_reg)\n", + "\n", + "# Print out the workflow\n", + "log_reg_wf\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在*指定*工作流程后，可以使用[`fit()`](https://tidymodels.github.io/parsnip/reference/fit.html)函数对模型进行`训练`。工作流程会估算配方并在训练前对数据进行预处理，因此我们无需手动使用prep和bake来完成这些步骤。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Train the model\n", + "wf_fit <- log_reg_wf %>% \n", + " fit(data = pumpkins_train)\n", + "\n", + "# Print the trained workflow\n", + "wf_fit\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "模型训练期间打印出的内容显示了学习到的系数。\n", + "\n", + "现在我们已经使用训练数据训练了模型，可以使用 [parsnip::predict()](https://parsnip.tidymodels.org/reference/predict.model_fit.html) 对测试数据进行预测。让我们从使用模型预测测试集的标签以及每个标签的概率开始。当概率大于 0.5 时，预测类别为 `WHITE`，否则为 `ORANGE`。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Make predictions for color and corresponding probabilities\n", + "results <- pumpkins_test %>% select(color) %>% \n", + " bind_cols(wf_fit %>% \n", + " predict(new_data = pumpkins_test)) %>%\n", + " bind_cols(wf_fit %>%\n", + " predict(new_data = pumpkins_test, type = \"prob\"))\n", + "\n", + "# Compare predictions\n", + "results %>% \n", + " slice_head(n = 10)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "非常好！这为我们提供了更多关于逻辑回归工作原理的见解。\n", + "\n", + "### 通过混淆矩阵更好地理解\n", + "\n", + "将每个预测值与其对应的“真实值”进行比较，并不是评估模型预测效果的高效方法。幸运的是，Tidymodels 还有一些其他的技巧：[`yardstick`](https://yardstick.tidymodels.org/)——一个通过性能指标来衡量模型效果的工具包。\n", + "\n", + "与分类问题相关的一个性能指标是[`混淆矩阵`](https://wikipedia.org/wiki/Confusion_matrix)。混淆矩阵描述了分类模型的表现情况。它统计了模型对每个类别正确分类的样本数量。在我们的例子中，它会显示有多少橙色南瓜被正确分类为橙色，有多少白色南瓜被正确分类为白色；同时，混淆矩阵还会显示有多少样本被错误分类到**其他类别**。\n", + "\n", + "来自 yardstick 的 [**`conf_mat()`**](https://tidymodels.github.io/yardstick/reference/conf_mat.html) 函数可以计算观察值和预测值的交叉分类表。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Confusion matrix for prediction results\n", + "conf_mat(data = results, truth = color, estimate = .pred_class)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "让我们来解读混淆矩阵。我们的模型需要将南瓜分类为两个二元类别：类别 `white` 和类别 `not-white`。\n", + "\n", + "- 如果你的模型预测南瓜为白色，并且它实际上属于类别 'white'，我们称之为 `true positive`，显示在左上角的数字。\n", + "\n", + "- 如果你的模型预测南瓜为非白色，并且它实际上属于类别 'white'，我们称之为 `false negative`，显示在左下角的数字。\n", + "\n", + "- 如果你的模型预测南瓜为白色，并且它实际上属于类别 'not-white'，我们称之为 `false positive`，显示在右上角的数字。\n", + "\n", + "- 如果你的模型预测南瓜为非白色，并且它实际上属于类别 'not-white'，我们称之为 `true negative`，显示在右下角的数字。\n", + "\n", + "| 实际情况 |\n", + "|:-----:|\n", + "\n", + "| | | |\n", + "|---------------|--------|-------|\n", + "| **预测结果** | WHITE | ORANGE |\n", + "| WHITE | TP | FP |\n", + "| ORANGE | FN | TN |\n", + "\n", + "正如你可能猜到的，理想情况下我们希望有更多的 `true positive` 和 `true negative`，以及更少的 `false positive` 和 `false negative`，这意味着模型表现更好。\n", + "\n", + "混淆矩阵非常有用，因为它可以衍生出其他指标，帮助我们更好地评估分类模型的性能。让我们来看看其中的一些指标：\n", + "\n", + "🎓 精确率（Precision）：`TP/(TP + FP)`，定义为预测为正的样本中实际为正的比例。也称为[正预测值](https://en.wikipedia.org/wiki/Positive_predictive_value \"Positive predictive value\")。\n", + "\n", + "🎓 召回率（Recall）：`TP/(TP + FN)`，定义为实际为正的样本中被正确预测为正的比例。也称为 `敏感性`。\n", + "\n", + "🎓 特异性（Specificity）：`TN/(TN + FP)`，定义为实际为负的样本中被正确预测为负的比例。\n", + "\n", + "🎓 准确率（Accuracy）：`TP + TN/(TP + TN + FP + FN)`，表示样本中预测正确的标签所占的百分比。\n", + "\n", + "🎓 F值（F Measure）：精确率和召回率的加权平均值，最佳值为1，最差值为0。\n", + "\n", + "让我们来计算这些指标吧！\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Combine metric functions and calculate them all at once\n", + "eval_metrics <- metric_set(ppv, recall, spec, f_meas, accuracy)\n", + "eval_metrics(data = results, truth = color, estimate = .pred_class)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 可视化该模型的ROC曲线\n", + "\n", + "让我们进行另一个可视化操作，来查看所谓的[`ROC曲线`](https://en.wikipedia.org/wiki/Receiver_operating_characteristic)：\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Make a roc_curve\n", + "results %>% \n", + " roc_curve(color, .pred_ORANGE) %>% \n", + " autoplot()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "ROC 曲线通常用于查看分类器输出的真阳性与假阳性之间的关系。ROC 曲线通常在 Y 轴上显示 `True Positive Rate`（真阳性率）/敏感性，在 X 轴上显示 `False Positive Rate`（假阳性率）/1-特异性。因此，曲线的陡峭程度以及曲线与对角线之间的空间很重要：你希望看到一条快速上升并越过对角线的曲线。在我们的例子中，起初存在一些假阳性，然后曲线正确地上升并越过对角线。\n", + "\n", + "最后，我们使用 `yardstick::roc_auc()` 来计算实际的曲线下面积（AUC）。AUC 的一种解释方式是：模型将一个随机正例排在一个随机负例之前的概率。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "vscode": { + "languageId": "r" + } + }, + "outputs": [], + "source": [ + "# Calculate area under curve\n", + "results %>% \n", + " roc_auc(color, .pred_ORANGE)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "结果约为 `0.975`。由于 AUC 的范围是 0 到 1，你希望分数越大越好，因为一个模型如果能 100% 准确预测，其 AUC 将达到 1；在这个例子中，模型表现*相当不错*。\n", + "\n", + "在后续关于分类的课程中，你将学习如何提高模型的分数（例如在这种情况下处理数据不平衡的问题）。\n", + "\n", + "## 🚀挑战\n", + "\n", + "关于逻辑回归还有很多内容可以深入探讨！但学习的最佳方式是通过实践。寻找一个适合这种分析的数据集，并用它构建一个模型。你学到了什么？提示：可以尝试 [Kaggle](https://www.kaggle.com/search?q=logistic+regression+datasets) 上的有趣数据集。\n", + "\n", + "## 复习与自学\n", + "\n", + "阅读 [斯坦福大学这篇论文](https://web.stanford.edu/~jurafsky/slp3/5.pdf) 的前几页，了解逻辑回归的一些实际应用。思考哪些任务更适合我们到目前为止学习的不同回归类型。哪种方法效果最好？\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "anaconda-cloud": "", + "kernelspec": { + "display_name": "R", + "langauge": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.4.1" + }, + "coopTranslator": { + "original_hash": "feaf125f481a89c468fa115bf2aed580", + "translation_date": "2025-09-03T19:36:22+00:00", + "source_file": "2-Regression/4-Logistic/solution/R/lesson_4-R.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/4-Logistic/solution/notebook.ipynb b/translations/zh-CN/2-Regression/4-Logistic/solution/notebook.ipynb new file mode 100644 index 000000000..eb3605031 --- /dev/null +++ b/translations/zh-CN/2-Regression/4-Logistic/solution/notebook.ipynb @@ -0,0 +1,1259 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 逻辑回归 - 第4课\n", + "\n", + "加载所需的库和数据集。将数据转换为包含数据子集的数据框：\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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City NameTypePackageVarietySub VarietyGradeDateLow PriceHigh PriceMostly Low...Unit of SaleQualityConditionAppearanceStorageCropRepackTrans ModeUnnamed: 24Unnamed: 25
0BALTIMORENaN24 inch binsNaNNaNNaN4/29/17270.0280.0270.0...NaNNaNNaNNaNNaNNaNENaNNaNNaN
1BALTIMORENaN24 inch binsNaNNaNNaN5/6/17270.0280.0270.0...NaNNaNNaNNaNNaNNaNENaNNaNNaN
2BALTIMORENaN24 inch binsHOWDEN TYPENaNNaN9/24/16160.0160.0160.0...NaNNaNNaNNaNNaNNaNNNaNNaNNaN
3BALTIMORENaN24 inch binsHOWDEN TYPENaNNaN9/24/16160.0160.0160.0...NaNNaNNaNNaNNaNNaNNNaNNaNNaN
4BALTIMORENaN24 inch binsHOWDEN TYPENaNNaN11/5/1690.0100.090.0...NaNNaNNaNNaNNaNNaNNNaNNaNNaN
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5 rows × 26 columns

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" + ], + "text/plain": [ + " City Name Type Package Variety Sub Variety Grade Date \n", + "0 BALTIMORE NaN 24 inch bins NaN NaN NaN 4/29/17 \\\n", + "1 BALTIMORE NaN 24 inch bins NaN NaN NaN 5/6/17 \n", + "2 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "3 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 9/24/16 \n", + "4 BALTIMORE NaN 24 inch bins HOWDEN TYPE NaN NaN 11/5/16 \n", + "\n", + " Low Price High Price Mostly Low ... Unit of Sale Quality Condition \n", + "0 270.0 280.0 270.0 ... NaN NaN NaN \\\n", + "1 270.0 280.0 270.0 ... NaN NaN NaN \n", + "2 160.0 160.0 160.0 ... NaN NaN NaN \n", + "3 160.0 160.0 160.0 ... NaN NaN NaN \n", + "4 90.0 100.0 90.0 ... NaN NaN NaN \n", + "\n", + " Appearance Storage Crop Repack Trans Mode Unnamed: 24 Unnamed: 25 \n", + "0 NaN NaN NaN E NaN NaN NaN \n", + "1 NaN NaN NaN E NaN NaN NaN \n", + "2 NaN NaN NaN N NaN NaN NaN \n", + "3 NaN NaN NaN N NaN NaN NaN \n", + "4 NaN NaN NaN N NaN NaN NaN \n", + "\n", + "[5 rows x 26 columns]" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "full_pumpkins = pd.read_csv('../../data/US-pumpkins.csv')\n", + "\n", + "full_pumpkins.head()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
City NamePackageVarietyOriginItem SizeColor
2BALTIMORE24 inch binsHOWDEN TYPEDELAWAREmedORANGE
3BALTIMORE24 inch binsHOWDEN TYPEVIRGINIAmedORANGE
4BALTIMORE24 inch binsHOWDEN TYPEMARYLANDlgeORANGE
5BALTIMORE24 inch binsHOWDEN TYPEMARYLANDlgeORANGE
6BALTIMORE36 inch binsHOWDEN TYPEMARYLANDmedORANGE
\n", + "
" + ], + "text/plain": [ + " City Name Package Variety Origin Item Size Color\n", + "2 BALTIMORE 24 inch bins HOWDEN TYPE DELAWARE med ORANGE\n", + "3 BALTIMORE 24 inch bins HOWDEN TYPE VIRGINIA med ORANGE\n", + "4 BALTIMORE 24 inch bins HOWDEN TYPE MARYLAND lge ORANGE\n", + "5 BALTIMORE 24 inch bins HOWDEN TYPE MARYLAND lge ORANGE\n", + "6 BALTIMORE 36 inch bins HOWDEN TYPE MARYLAND med ORANGE" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Select the columns we want to use\n", + "columns_to_select = ['City Name','Package','Variety', 'Origin','Item Size', 'Color']\n", + "pumpkins = full_pumpkins.loc[:, columns_to_select]\n", + "\n", + "# Drop rows with missing values\n", + "pumpkins.dropna(inplace=True)\n", + "\n", + "pumpkins.head()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 来看看我们的数据吧！\n", + "\n", + "通过使用 Seaborn 进行可视化\n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "# Specify colors for each values of the hue variable\n", + "palette = {\n", + " 'ORANGE': 'orange',\n", + " 'WHITE': 'wheat',\n", + "}\n", + "# Plot a bar plot to visualize how many pumpkins of each variety are orange or white\n", + "sns.catplot(\n", + " data=pumpkins, y=\"Variety\", hue=\"Color\", kind=\"count\",\n", + " palette=palette, \n", + ")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 数据预处理\n", + "\n", + "让我们对特征和标签进行编码，以便更好地绘制数据并训练模型\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['med', 'lge', 'sml', 'xlge', 'med-lge', 'jbo', 'exjbo'],\n", + " dtype=object)" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Let's look at the different values of the 'Item Size' column\n", + "pumpkins['Item Size'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import OrdinalEncoder\n", + "# Encode the 'Item Size' column using ordinal encoding\n", + "item_size_categories = [['sml', 'med', 'med-lge', 'lge', 'xlge', 'jbo', 'exjbo']]\n", + "ordinal_features = ['Item Size']\n", + "ordinal_encoder = OrdinalEncoder(categories=item_size_categories)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import OneHotEncoder\n", + "# Encode all the other features using one-hot encoding\n", + "categorical_features = ['City Name', 'Package', 'Variety', 'Origin']\n", + "categorical_encoder = OneHotEncoder(sparse_output=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ord__Item Size cat__City Name_ATLANTA cat__City Name_BALTIMORE \n", + "2 1.0 0.0 1.0 \\\n", + "3 1.0 0.0 1.0 \n", + "4 3.0 0.0 1.0 \n", + "5 3.0 0.0 1.0 \n", + "6 1.0 0.0 1.0 \n", + "\n", + " cat__City Name_BOSTON cat__City Name_CHICAGO cat__City Name_COLUMBIA \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__City Name_DALLAS cat__City Name_DETROIT cat__City Name_LOS ANGELES \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__City Name_MIAMI ... cat__Origin_MICHIGAN cat__Origin_NEW JERSEY \n", + "2 0.0 ... 0.0 0.0 \\\n", + "3 0.0 ... 0.0 0.0 \n", + "4 0.0 ... 0.0 0.0 \n", + "5 0.0 ... 0.0 0.0 \n", + "6 0.0 ... 0.0 0.0 \n", + "\n", + " cat__Origin_NEW YORK cat__Origin_NORTH CAROLINA cat__Origin_OHIO \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__Origin_PENNSYLVANIA cat__Origin_TENNESSEE cat__Origin_TEXAS \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__Origin_VERMONT cat__Origin_VIRGINIA \n", + "2 0.0 0.0 \n", + "3 0.0 1.0 \n", + "4 0.0 0.0 \n", + "5 0.0 0.0 \n", + "6 0.0 0.0 \n", + "\n", + "[5 rows x 48 columns]" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.compose import ColumnTransformer\n", + "ct = ColumnTransformer(transformers=[\n", + " ('ord', ordinal_encoder, ordinal_features),\n", + " ('cat', categorical_encoder, categorical_features)\n", + " ])\n", + "# Get the encoded features as a pandas DataFrame\n", + "ct.set_output(transform='pandas')\n", + "encoded_features = ct.fit_transform(pumpkins)\n", + "encoded_features.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ord__Item Size cat__City Name_ATLANTA cat__City Name_BALTIMORE \n", + "2 1.0 0.0 1.0 \\\n", + "3 1.0 0.0 1.0 \n", + "4 3.0 0.0 1.0 \n", + "5 3.0 0.0 1.0 \n", + "6 1.0 0.0 1.0 \n", + "\n", + " cat__City Name_BOSTON cat__City Name_CHICAGO cat__City Name_COLUMBIA \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__City Name_DALLAS cat__City Name_DETROIT cat__City Name_LOS ANGELES \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__City Name_MIAMI ... cat__Origin_NEW JERSEY cat__Origin_NEW YORK \n", + "2 0.0 ... 0.0 0.0 \\\n", + "3 0.0 ... 0.0 0.0 \n", + "4 0.0 ... 0.0 0.0 \n", + "5 0.0 ... 0.0 0.0 \n", + "6 0.0 ... 0.0 0.0 \n", + "\n", + " cat__Origin_NORTH CAROLINA cat__Origin_OHIO cat__Origin_PENNSYLVANIA \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__Origin_TENNESSEE cat__Origin_TEXAS cat__Origin_VERMONT \n", + "2 0.0 0.0 0.0 \\\n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "5 0.0 0.0 0.0 \n", + "6 0.0 0.0 0.0 \n", + "\n", + " cat__Origin_VIRGINIA Color \n", + "2 0.0 0 \n", + "3 1.0 0 \n", + "4 0.0 0 \n", + "5 0.0 0 \n", + "6 0.0 0 \n", + "\n", + "[5 rows x 49 columns]" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.preprocessing import LabelEncoder\n", + "# Encode the 'Color' column using label encoding\n", + "label_encoder = LabelEncoder()\n", + "encoded_label = label_encoder.fit_transform(pumpkins['Color'])\n", + "encoded_pumpkins = encoded_features.assign(Color=encoded_label)\n", + "encoded_pumpkins.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['ORANGE', 'WHITE']" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Let's look at the mapping between the encoded values and the original values\n", + "list(label_encoder.inverse_transform([0, 1]))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 分析特征与标签之间的关系\n" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "palette = {\n", + " 'ORANGE': 'orange',\n", + " 'WHITE': 'wheat',\n", + "}\n", + "# We need the encoded Item Size column to use it as the x-axis values in the plot\n", + "pumpkins['Item Size'] = encoded_pumpkins['ord__Item Size']\n", + "\n", + "g = sns.catplot(\n", + " data=pumpkins,\n", + " x=\"Item Size\", y=\"Color\", row='Variety',\n", + " kind=\"box\", orient=\"h\",\n", + " sharex=False, margin_titles=True,\n", + " height=1.8, aspect=4, palette=palette,\n", + ")\n", + "# Defining axis labels \n", + "g.set(xlabel=\"Item Size\", ylabel=\"\").set(xlim=(0,6))\n", + "g.set_titles(row_template=\"{row_name}\")\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings(action='ignore', category=UserWarning, module='seaborn')" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Suppressing warning message claiming that a portion of points cannot be placed into the plot due to the high number of data points\n", + "import warnings\n", + "warnings.filterwarnings(action='ignore', category=UserWarning, module='seaborn')\n", + "\n", + "palette = {\n", + " 0: 'orange',\n", + " 1: 'wheat'\n", + "}\n", + "sns.swarmplot(x=\"Color\", y=\"ord__Item Size\", hue=\"Color\", data=encoded_pumpkins, palette=palette)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**注意**：忽视警告并不是一种最佳实践，应尽可能避免。警告通常包含有用的信息，可以帮助我们改进代码并解决问题。 \n", + "我们忽略这个特定警告的原因是为了保证图表的可读性。在保持调色板颜色一致的同时，用较小的标记尺寸绘制所有数据点会导致图表的可视化效果不清晰。\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 构建您的模型\n" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "# X is the encoded features\n", + "X = encoded_pumpkins[encoded_pumpkins.columns.difference(['Color'])]\n", + "# y is the encoded label\n", + "y = encoded_pumpkins['Color']\n", + "\n", + "# Split the data into training and test sets\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.94 0.98 0.96 166\n", + " 1 0.85 0.67 0.75 33\n", + "\n", + " accuracy 0.92 199\n", + " macro avg 0.89 0.82 0.85 199\n", + "weighted avg 0.92 0.92 0.92 199\n", + "\n", + "Predicted labels: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0\n", + " 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0\n", + " 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\n", + " 0 0 0 1 0 0 0 0 0 0 0 0 1 1]\n", + "F1-score: 0.7457627118644068\n" + ] + } + ], + "source": [ + "from sklearn.metrics import f1_score, classification_report \n", + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "# Train a logistic regression model on the pumpkin dataset\n", + "model = LogisticRegression()\n", + "model.fit(X_train, y_train)\n", + "predictions = model.predict(X_test)\n", + "\n", + "# Evaluate the model and print the results\n", + "print(classification_report(y_test, predictions))\n", + "print('Predicted labels: ', predictions)\n", + "print('F1-score: ', f1_score(y_test, predictions))" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[162, 4],\n", + " [ 11, 22]])" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import confusion_matrix\n", + "confusion_matrix(y_test, predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import roc_curve, roc_auc_score\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "y_scores = model.predict_proba(X_test)\n", + "# calculate ROC curve\n", + "fpr, tpr, thresholds = roc_curve(y_test, y_scores[:,1])\n", + "\n", + "# plot ROC curve\n", + "fig = plt.figure(figsize=(6, 6))\n", + "# Plot the diagonal 50% line\n", + "plt.plot([0, 1], [0, 1], 'k--')\n", + "# Plot the FPR and TPR achieved by our model\n", + "plt.plot(fpr, tpr)\n", + "plt.xlabel('False Positive Rate')\n", + "plt.ylabel('True Positive Rate')\n", + "plt.title('ROC Curve')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.9749908725812341\n" + ] + } + ], + "source": [ + "# Calculate AUC score\n", + "auc = roc_auc_score(y_test,y_scores[:,1])\n", + "print(auc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.16" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "vscode": { + "interpreter": { + "hash": "949777d72b0d2535278d3dc13498b2535136f6dfe0678499012e853ee9abcab1" + } + }, + "coopTranslator": { + "original_hash": "ef50cc584e0b79412610cc7da15e1f86", + "translation_date": "2025-09-03T19:31:02+00:00", + "source_file": "2-Regression/4-Logistic/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/2-Regression/README.md b/translations/zh-CN/2-Regression/README.md new file mode 100644 index 000000000..a2df49779 --- /dev/null +++ b/translations/zh-CN/2-Regression/README.md @@ -0,0 +1,45 @@ +# 机器学习中的回归模型 +## 区域主题：北美地区南瓜价格的回归模型 🎃 + +在北美，南瓜常被雕刻成恐怖的面孔用于庆祝万圣节。让我们一起来探索这些迷人的蔬菜吧！ + +![jack-o-lanterns](../../../translated_images/zh-CN/jack-o-lanterns.181c661a9212457d.webp) +> 图片由 Beth Teutschmann 提供，来自 Unsplash + +## 你将学到什么 + +[![回归简介](https://img.youtube.com/vi/5QnJtDad4iQ/0.jpg)](https://youtu.be/5QnJtDad4iQ "回归简介视频 - 点击观看！") +> 🎥 点击上方图片观看本课的快速介绍视频 + +本节课程涵盖了机器学习中回归的类型。回归模型可以帮助确定变量之间的_关系_。这种模型可以预测诸如长度、温度或年龄等值，从而在分析数据点时揭示变量之间的关系。 + +在这一系列课程中，你将了解线性回归和逻辑回归的区别，以及在什么情况下应该选择其中一种。 + +[![机器学习初学者 - 回归模型简介](https://img.youtube.com/vi/XA3OaoW86R8/0.jpg)](https://youtu.be/XA3OaoW86R8 "机器学习初学者 - 回归模型简介") + +> 🎥 点击上方图片观看关于回归模型的简短介绍视频。 + +在这一组课程中，你将准备开始机器学习任务，包括配置 Visual Studio Code 来管理笔记本，这是数据科学家常用的环境。你将了解 Scikit-learn，一个用于机器学习的库，并在本章中构建你的第一个模型，重点是回归模型。 + +> 有一些实用的低代码工具可以帮助你学习如何使用回归模型。试试 [Azure ML 来完成这个任务](https://docs.microsoft.com/learn/modules/create-regression-model-azure-machine-learning-designer/?WT.mc_id=academic-77952-leestott) + +### 课程 + +1. [工具介绍](1-Tools/README.md) +2. [数据管理](2-Data/README.md) +3. [线性回归和多项式回归](3-Linear/README.md) +4. [逻辑回归](4-Logistic/README.md) + +--- +### 致谢 + +"回归中的机器学习" 由 [Jen Looper](https://twitter.com/jenlooper) ♥️ 编写 + +♥️ 测验贡献者包括：[Muhammad Sakib Khan Inan](https://twitter.com/Sakibinan) 和 [Ornella Altunyan](https://twitter.com/ornelladotcom) + +南瓜数据集由 [Kaggle 上的这个项目](https://www.kaggle.com/usda/a-year-of-pumpkin-prices) 提供，其数据来源于美国农业部发布的 [Specialty Crops Terminal Markets Standard Reports](https://www.marketnews.usda.gov/mnp/fv-report-config-step1?type=termPrice)。我们根据品种添加了一些关于颜色的点以规范分布。这些数据属于公共领域。 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/3-Web-App/1-Web-App/README.md b/translations/zh-CN/3-Web-App/1-Web-App/README.md new file mode 100644 index 000000000..e37631e25 --- /dev/null +++ b/translations/zh-CN/3-Web-App/1-Web-App/README.md @@ -0,0 +1,350 @@ +# 构建一个使用机器学习模型的网页应用 + +在本课中，你将使用一个非常特别的数据集来训练一个机器学习模型：_过去一个世纪的UFO目击事件_，数据来源于NUFORC的数据库。 + +你将学习： + +- 如何对训练好的模型进行“pickle”处理 +- 如何在Flask应用中使用该模型 + +我们将继续使用notebook来清理数据并训练模型，但你可以更进一步，尝试在“真实世界”中使用模型，也就是在一个网页应用中。 + +为此，你需要使用Flask构建一个网页应用。 + +## [课前小测验](https://ff-quizzes.netlify.app/en/ml/) + +## 构建一个应用 + +有多种方法可以构建网页应用来使用机器学习模型。你的网页架构可能会影响模型的训练方式。想象一下，你正在一个企业中工作，数据科学团队已经训练了一个模型，他们希望你在应用中使用它。 + +### 需要考虑的问题 + +你需要问自己许多问题： + +- **这是一个网页应用还是一个移动应用？** 如果你正在构建一个移动应用，或者需要在物联网环境中使用模型，你可以使用 [TensorFlow Lite](https://www.tensorflow.org/lite/) 并在Android或iOS应用中使用该模型。 +- **模型将存储在哪里？** 是在云端还是本地？ +- **是否需要离线支持？** 应用是否需要在离线状态下运行？ +- **训练模型使用了什么技术？** 所选技术可能会影响你需要使用的工具。 + - **使用TensorFlow。** 如果你使用TensorFlow训练模型，该生态系统提供了将TensorFlow模型转换为网页应用中使用的能力，例如通过 [TensorFlow.js](https://www.tensorflow.org/js/)。 + - **使用PyTorch。** 如果你使用 [PyTorch](https://pytorch.org/) 等库构建模型，你可以选择将其导出为 [ONNX](https://onnx.ai/)（开放神经网络交换）格式，用于支持JavaScript网页应用的 [Onnx Runtime](https://www.onnxruntime.ai/)。在未来的课程中，我们将探索如何将Scikit-learn训练的模型导出为ONNX格式。 + - **使用Lobe.ai或Azure Custom Vision。** 如果你使用 [Lobe.ai](https://lobe.ai/) 或 [Azure Custom Vision](https://azure.microsoft.com/services/cognitive-services/custom-vision-service/?WT.mc_id=academic-77952-leestott) 等机器学习SaaS（软件即服务）系统来训练模型，这类软件提供了多平台导出模型的方法，包括构建一个定制的API，通过云端供在线应用查询。 + +你还可以选择构建一个完整的Flask网页应用，该应用能够在网页浏览器中自行训练模型。这也可以通过JavaScript环境中的TensorFlow.js实现。 + +对于我们的目的，由于我们一直在使用基于Python的notebook，让我们来探索将训练好的模型从notebook导出为Python构建的网页应用可读取的格式所需的步骤。 + +## 工具 + +完成此任务，你需要两个工具：Flask和Pickle，它们都运行在Python上。 + +✅ 什么是 [Flask](https://palletsprojects.com/p/flask/)？Flask被其创建者定义为一个“微框架”，它使用Python和模板引擎来构建网页，提供了网页框架的基本功能。可以参考 [这个学习模块](https://docs.microsoft.com/learn/modules/python-flask-build-ai-web-app?WT.mc_id=academic-77952-leestott) 来练习使用Flask构建应用。 + +✅ 什么是 [Pickle](https://docs.python.org/3/library/pickle.html)？Pickle 🥒 是一个Python模块，用于序列化和反序列化Python对象结构。当你对模型进行“pickle”处理时，你会将其结构序列化或扁平化，以便在网页上使用。需要注意的是：Pickle本身并不安全，因此在被提示“un-pickle”文件时要小心。Pickle文件的后缀为`.pkl`。 + +## 练习 - 清理数据 + +在本课中，你将使用来自 [NUFORC](https://nuforc.org)（国家UFO报告中心）的80,000条UFO目击数据。这些数据中包含一些有趣的UFO目击描述，例如： + +- **长描述示例。** “一个人从夜晚草地上的一道光束中出现，跑向德州仪器的停车场。” +- **短描述示例。** “灯光追逐我们。” + +[ufos.csv](../../../../3-Web-App/1-Web-App/data/ufos.csv) 表格包含关于目击发生的 `city`（城市）、`state`（州）和 `country`（国家），物体的 `shape`（形状），以及其 `latitude`（纬度）和 `longitude`（经度）的列。 + +在本课提供的空白 [notebook](../../../../3-Web-App/1-Web-App/notebook.ipynb) 中： + +1. 像之前的课程一样，导入 `pandas`、`matplotlib` 和 `numpy`，并导入ufos表格。你可以查看数据集的样本： + + ```python + import pandas as pd + import numpy as np + + ufos = pd.read_csv('./data/ufos.csv') + ufos.head() + ``` + +1. 将ufos数据转换为一个小型数据框，并重新命名列标题。检查 `Country` 字段中的唯一值。 + + ```python + ufos = pd.DataFrame({'Seconds': ufos['duration (seconds)'], 'Country': ufos['country'],'Latitude': ufos['latitude'],'Longitude': ufos['longitude']}) + + ufos.Country.unique() + ``` + +1. 现在，你可以通过删除任何空值并仅导入1-60秒之间的目击事件来减少需要处理的数据量： + + ```python + ufos.dropna(inplace=True) + + ufos = ufos[(ufos['Seconds'] >= 1) & (ufos['Seconds'] <= 60)] + + ufos.info() + ``` + +1. 导入Scikit-learn的 `LabelEncoder` 库，将国家的文本值转换为数字： + + ✅ LabelEncoder 按字母顺序对数据进行编码 + + ```python + from sklearn.preprocessing import LabelEncoder + + ufos['Country'] = LabelEncoder().fit_transform(ufos['Country']) + + ufos.head() + ``` + + 你的数据应如下所示： + + ```output + Seconds Country Latitude Longitude + 2 20.0 3 53.200000 -2.916667 + 3 20.0 4 28.978333 -96.645833 + 14 30.0 4 35.823889 -80.253611 + 23 60.0 4 45.582778 -122.352222 + 24 3.0 3 51.783333 -0.783333 + ``` + +## 练习 - 构建模型 + +现在你可以准备通过将数据分为训练组和测试组来训练模型。 + +1. 选择三个特征作为你的X向量，y向量将是 `Country`。你希望能够输入 `Seconds`、`Latitude` 和 `Longitude`，并返回一个国家ID。 + + ```python + from sklearn.model_selection import train_test_split + + Selected_features = ['Seconds','Latitude','Longitude'] + + X = ufos[Selected_features] + y = ufos['Country'] + + X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0) + ``` + +1. 使用逻辑回归训练模型： + + ```python + from sklearn.metrics import accuracy_score, classification_report + from sklearn.linear_model import LogisticRegression + model = LogisticRegression() + model.fit(X_train, y_train) + predictions = model.predict(X_test) + + print(classification_report(y_test, predictions)) + print('Predicted labels: ', predictions) + print('Accuracy: ', accuracy_score(y_test, predictions)) + ``` + +模型的准确率还不错 **（大约95%）**，这并不奇怪，因为 `Country` 和 `Latitude/Longitude` 是相关的。 + +你创建的模型并不是非常具有革命性，因为你应该能够从 `Latitude` 和 `Longitude` 推断出 `Country`，但这是一个很好的练习，可以尝试从清理过的原始数据中训练模型，导出模型，然后在网页应用中使用它。 + +## 练习 - 对模型进行“pickle”处理 + +现在，是时候对你的模型进行“pickle”处理了！你可以用几行代码完成这一步。一旦完成“pickle”处理，加载你的Pickle模型，并用一个包含秒数、纬度和经度值的样本数据数组进行测试， + +```python +import pickle +model_filename = 'ufo-model.pkl' +pickle.dump(model, open(model_filename,'wb')) + +model = pickle.load(open('ufo-model.pkl','rb')) +print(model.predict([[50,44,-12]])) +``` + +模型返回了 **'3'**，这是英国的国家代码。太神奇了！👽 + +## 练习 - 构建一个Flask应用 + +现在你可以构建一个Flask应用来调用你的模型，并以更直观的方式返回类似的结果。 + +1. 首先，在 _notebook.ipynb_ 文件旁边创建一个名为 **web-app** 的文件夹，其中存放你的 _ufo-model.pkl_ 文件。 + +1. 在该文件夹中再创建三个文件夹：**static**（其中包含一个名为 **css** 的文件夹）和 **templates**。你现在应该有以下文件和目录： + + ```output + web-app/ + static/ + css/ + templates/ + notebook.ipynb + ufo-model.pkl + ``` + + ✅ 参考解决方案文件夹以查看完成的应用 + +1. 在 _web-app_ 文件夹中创建第一个文件 **requirements.txt**。像JavaScript应用中的 _package.json_ 一样，此文件列出了应用所需的依赖项。在 **requirements.txt** 中添加以下内容： + + ```text + scikit-learn + pandas + numpy + flask + ``` + +1. 现在，通过导航到 _web-app_ 运行此文件： + + ```bash + cd web-app + ``` + +1. 在终端中输入 `pip install`，以安装 _requirements.txt_ 中列出的库： + + ```bash + pip install -r requirements.txt + ``` + +1. 现在，你可以创建另外三个文件来完成应用： + + 1. 在根目录创建 **app.py**。 + 2. 在 _templates_ 目录中创建 **index.html**。 + 3. 在 _static/css_ 目录中创建 **styles.css**。 + +1. 在 _styles.css_ 文件中添加一些样式： + + ```css + body { + width: 100%; + height: 100%; + font-family: 'Helvetica'; + background: black; + color: #fff; + text-align: center; + letter-spacing: 1.4px; + font-size: 30px; + } + + input { + min-width: 150px; + } + + .grid { + width: 300px; + border: 1px solid #2d2d2d; + display: grid; + justify-content: center; + margin: 20px auto; + } + + .box { + color: #fff; + background: #2d2d2d; + padding: 12px; + display: inline-block; + } + ``` + +1. 接下来，构建 _index.html_ 文件： + + ```html + + + + + 🛸 UFO Appearance Prediction! 👽 + + + + +
+ +
+ +

According to the number of seconds, latitude and longitude, which country is likely to have reported seeing a UFO?

+ +
+ + + + +
+ +

{{ prediction_text }}

+ +
+ +
+ + + + ``` + + 查看此文件中的模板语法。注意变量周围的“大括号”语法，例如预测文本：`{{}}`。还有一个表单会将预测结果发布到 `/predict` 路由。 + + 最后，你已经准备好构建驱动模型使用和预测显示的Python文件： + +1. 在 `app.py` 中添加： + + ```python + import numpy as np + from flask import Flask, request, render_template + import pickle + + app = Flask(__name__) + + model = pickle.load(open("./ufo-model.pkl", "rb")) + + + @app.route("/") + def home(): + return render_template("index.html") + + + @app.route("/predict", methods=["POST"]) + def predict(): + + int_features = [int(x) for x in request.form.values()] + final_features = [np.array(int_features)] + prediction = model.predict(final_features) + + output = prediction[0] + + countries = ["Australia", "Canada", "Germany", "UK", "US"] + + return render_template( + "index.html", prediction_text="Likely country: {}".format(countries[output]) + ) + + + if __name__ == "__main__": + app.run(debug=True) + ``` + + > 💡 提示：当你在使用Flask运行网页应用时添加 [`debug=True`](https://www.askpython.com/python-modules/flask/flask-debug-mode)，任何对应用的更改都会立即反映出来，而无需重启服务器。但要小心！不要在生产应用中启用此模式。 + +如果你运行 `python app.py` 或 `python3 app.py`，你的网页服务器会在本地启动，你可以填写一个简短的表单，获取关于UFO目击地点的答案！ + +在此之前，先看看 `app.py` 的各个部分： + +1. 首先，加载依赖项并启动应用。 +1. 然后，导入模型。 +1. 接着，在主页路由上渲染 index.html。 + +在 `/predict` 路由上，当表单被提交时，会发生以下几件事： + +1. 表单变量被收集并转换为一个numpy数组。然后将其发送到模型，并返回一个预测结果。 +2. 我们希望显示的国家代码被重新渲染为可读的文本值，并将该值发送回 index.html，在模板中渲染。 + +通过Flask和Pickle模型以这种方式使用模型是相对简单的。最难的部分是理解必须发送到模型的数据形状，以获得预测结果。这完全取决于模型的训练方式。这个模型需要输入三个数据点才能获得预测。 + +在专业环境中，你可以看到训练模型的团队和在网页或移动应用中使用模型的团队之间良好沟通的重要性。在我们的案例中，只有一个人，那就是你！ + +--- + +## 🚀 挑战 + +与其在notebook中工作并将模型导入Flask应用，你可以直接在Flask应用中训练模型！尝试将notebook中的Python代码转换为在应用中的 `train` 路由上训练模型。尝试这种方法的优缺点是什么？ + +## [课后小测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +构建一个使用机器学习模型的网页应用有很多方法。列出你可以使用JavaScript或Python构建网页应用以利用机器学习的方法。考虑架构：模型应该保留在应用中还是存储在云端？如果是后者，你将如何访问它？绘制一个应用机器学习网页解决方案的架构模型。 + +## 作业 + +[尝试一个不同的模型](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/3-Web-App/1-Web-App/assignment.md b/translations/zh-CN/3-Web-App/1-Web-App/assignment.md new file mode 100644 index 000000000..1a2226af9 --- /dev/null +++ b/translations/zh-CN/3-Web-App/1-Web-App/assignment.md @@ -0,0 +1,16 @@ +# 尝试不同的模型 + +## 说明 + +现在您已经使用训练好的回归模型构建了一个网页应用，请使用之前回归课程中的一个模型重新制作这个网页应用。您可以保持原有的风格，也可以设计不同的样式以体现南瓜数据。请注意更改输入以匹配您模型的训练方法。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------------------------- | ------------------------------------------------------- | ------------------------------------------------------- | ------------------------------------- | +| | 网页应用运行正常并成功部署到云端 | 网页应用存在缺陷或表现出意外结果 | 网页应用无法正常运行 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/3-Web-App/1-Web-App/notebook.ipynb b/translations/zh-CN/3-Web-App/1-Web-App/notebook.ipynb new file mode 100644 index 000000000..e69de29bb diff --git a/translations/zh-CN/3-Web-App/1-Web-App/solution/notebook.ipynb b/translations/zh-CN/3-Web-App/1-Web-App/solution/notebook.ipynb new file mode 100644 index 000000000..7ea590937 --- /dev/null +++ b/translations/zh-CN/3-Web-App/1-Web-App/solution/notebook.ipynb @@ -0,0 +1,267 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python37364bit8d3b438fb5fc4430a93ac2cb74d693a7", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "5fa2e8f4584c78250ca9729b46562ceb", + "translation_date": "2025-09-03T20:19:40+00:00", + "source_file": "3-Web-App/1-Web-App/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " datetime city state country shape \\\n", + "0 10/10/1949 20:30 san marcos tx us cylinder \n", + "1 10/10/1949 21:00 lackland afb tx NaN light \n", + "2 10/10/1955 17:00 chester (uk/england) NaN gb circle \n", + "3 10/10/1956 21:00 edna tx us circle \n", + "4 10/10/1960 20:00 kaneohe hi us light \n", + "\n", + " duration (seconds) duration (hours/min) \\\n", + "0 2700.0 45 minutes \n", + "1 7200.0 1-2 hrs \n", + "2 20.0 20 seconds \n", + "3 20.0 1/2 hour \n", + "4 900.0 15 minutes \n", + "\n", + " comments date posted latitude \\\n", + "0 This event took place in early fall around 194... 4/27/2004 29.883056 \n", + "1 1949 Lackland AFB, TX. Lights racing acros... 12/16/2005 29.384210 \n", + "2 Green/Orange circular disc over Chester, En... 1/21/2008 53.200000 \n", + "3 My older brother and twin sister were leaving ... 1/17/2004 28.978333 \n", + "4 AS a Marine 1st Lt. flying an FJ4B fighter/att... 1/22/2004 21.418056 \n", + "\n", + " longitude \n", + "0 -97.941111 \n", + "1 -98.581082 \n", + "2 -2.916667 \n", + "3 -96.645833 \n", + "4 -157.803611 " + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
datetimecitystatecountryshapeduration (seconds)duration (hours/min)commentsdate postedlatitudelongitude
010/10/1949 20:30san marcostxuscylinder2700.045 minutesThis event took place in early fall around 194...4/27/200429.883056-97.941111
110/10/1949 21:00lackland afbtxNaNlight7200.01-2 hrs1949 Lackland AFB&#44 TX. Lights racing acros...12/16/200529.384210-98.581082
210/10/1955 17:00chester (uk/england)NaNgbcircle20.020 secondsGreen/Orange circular disc over Chester&#44 En...1/21/200853.200000-2.916667
310/10/1956 21:00ednatxuscircle20.01/2 hourMy older brother and twin sister were leaving ...1/17/200428.978333-96.645833
410/10/1960 20:00kaneohehiuslight900.015 minutesAS a Marine 1st Lt. flying an FJ4B fighter/att...1/22/200421.418056-157.803611
\n
" + }, + "metadata": {}, + "execution_count": 23 + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "ufos = pd.read_csv('../data/ufos.csv')\n", + "ufos.head()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array(['us', nan, 'gb', 'ca', 'au', 'de'], dtype=object)" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ], + "source": [ + "\n", + "ufos = pd.DataFrame({'Seconds': ufos['duration (seconds)'], 'Country': ufos['country'],'Latitude': ufos['latitude'],'Longitude': ufos['longitude']})\n", + "\n", + "ufos.Country.unique()\n", + "\n", + "# 0 au, 1 ca, 2 de, 3 gb, 4 us" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\nInt64Index: 25863 entries, 2 to 80330\nData columns (total 4 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 Seconds 25863 non-null float64\n 1 Country 25863 non-null object \n 2 Latitude 25863 non-null float64\n 3 Longitude 25863 non-null float64\ndtypes: float64(3), object(1)\nmemory usage: 1010.3+ KB\n" + ] + } + ], + "source": [ + "ufos.dropna(inplace=True)\n", + "\n", + "ufos = ufos[(ufos['Seconds'] >= 1) & (ufos['Seconds'] <= 60)]\n", + "\n", + "ufos.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Seconds Country Latitude Longitude\n", + "2 20.0 3 53.200000 -2.916667\n", + "3 20.0 4 28.978333 -96.645833\n", + "14 30.0 4 35.823889 -80.253611\n", + "23 60.0 4 45.582778 -122.352222\n", + "24 3.0 3 51.783333 -0.783333" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
SecondsCountryLatitudeLongitude
220.0353.200000-2.916667
320.0428.978333-96.645833
1430.0435.823889-80.253611
2360.0445.582778-122.352222
243.0351.783333-0.783333
\n
" + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "from sklearn.preprocessing import LabelEncoder\n", + "\n", + "ufos['Country'] = LabelEncoder().fit_transform(ufos['Country'])\n", + "\n", + "ufos.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "Selected_features = ['Seconds','Latitude','Longitude']\n", + "\n", + "X = ufos[Selected_features]\n", + "y = ufos['Country']\n", + "\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/sklearn/linear_model/logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n", + " FutureWarning)\n", + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/sklearn/linear_model/logistic.py:469: FutureWarning: Default multi_class will be changed to 'auto' in 0.22. Specify the multi_class option to silence this warning.\n", + " \"this warning.\", FutureWarning)\n", + " precision recall f1-score support\n", + "\n", + " 0 1.00 1.00 1.00 41\n", + " 1 1.00 0.02 0.05 250\n", + " 2 0.00 0.00 0.00 8\n", + " 3 0.94 1.00 0.97 131\n", + " 4 0.95 1.00 0.97 4743\n", + "\n", + " accuracy 0.95 5173\n", + " macro avg 0.78 0.60 0.60 5173\n", + "weighted avg 0.95 0.95 0.93 5173\n", + "\n", + "Predicted labels: [4 4 4 ... 3 4 4]\n", + "Accuracy: 0.9512855209742895\n", + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/sklearn/metrics/classification.py:1437: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n", + " 'precision', 'predicted', average, warn_for)\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "from sklearn.metrics import accuracy_score, classification_report \n", + "from sklearn.linear_model import LogisticRegression\n", + "model = LogisticRegression()\n", + "model.fit(X_train, y_train)\n", + "predictions = model.predict(X_test)\n", + "\n", + "print(classification_report(y_test, predictions))\n", + "print('Predicted labels: ', predictions)\n", + "print('Accuracy: ', accuracy_score(y_test, predictions))\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[3]\n" + ] + } + ], + "source": [ + "import pickle\n", + "model_filename = 'ufo-model.pkl'\n", + "pickle.dump(model, open(model_filename,'wb'))\n", + "\n", + "model = pickle.load(open('ufo-model.pkl','rb'))\n", + "print(model.predict([[50,44,-12]]))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/3-Web-App/README.md b/translations/zh-CN/3-Web-App/README.md new file mode 100644 index 000000000..09dc6f96b --- /dev/null +++ b/translations/zh-CN/3-Web-App/README.md @@ -0,0 +1,26 @@ +# 构建一个使用您的机器学习模型的网页应用 + +在本课程的这一部分，您将学习一个应用型的机器学习主题：如何将您的 Scikit-learn 模型保存为一个文件，以便在网页应用中进行预测。一旦模型保存完成，您将学习如何在使用 Flask 构建的网页应用中使用它。您将首先使用一些关于 UFO 目击事件的数据创建一个模型！然后，您将构建一个网页应用，允许用户输入持续时间（秒数）、纬度和经度值，以预测哪个国家报告了看到 UFO。 + +![UFO 停车场](../../../translated_images/zh-CN/ufo.9e787f5161da9d4d.webp) + +照片由 Michael Herren 提供，来自 Unsplash + +## 课程 + +1. [构建一个网页应用](1-Web-App/README.md) + +## 致谢 + +“构建一个网页应用”由 [Jen Looper](https://twitter.com/jenlooper) 倾情撰写。 + +♥️ 测验由 Rohan Raj 编写。 + +数据集来源于 [Kaggle](https://www.kaggle.com/NUFORC/ufo-sightings)。 + +网页应用架构部分参考了 [这篇文章](https://towardsdatascience.com/how-to-easily-deploy-machine-learning-models-using-flask-b95af8fe34d4) 和 [这个仓库](https://github.com/abhinavsagar/machine-learning-deployment)，作者为 Abhinav Sagar。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/README.md b/translations/zh-CN/4-Classification/1-Introduction/README.md new file mode 100644 index 000000000..62bc1e4f3 --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/README.md @@ -0,0 +1,304 @@ +# 分类简介 + +在这四节课中，你将探索经典机器学习的一个核心主题——_分类_。我们将使用一个关于亚洲和印度各种美食的数据集，逐步学习如何使用不同的分类算法。希望你已经准备好大快朵颐了！ + +![just a pinch!](../../../../4-Classification/1-Introduction/images/pinch.png) + +> 在这些课程中，庆祝泛亚洲美食吧！图片由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +分类是一种[监督学习](https://wikipedia.org/wiki/Supervised_learning)方法，与回归技术有许多相似之处。如果说机器学习的核心是通过数据集预测值或名称，那么分类通常分为两类：_二元分类_和_多类分类_。 + +[![分类简介](https://img.youtube.com/vi/eg8DJYwdMyg/0.jpg)](https://youtu.be/eg8DJYwdMyg "分类简介") + +> 🎥 点击上方图片观看视频：MIT 的 John Guttag 介绍分类 + +请记住： + +- **线性回归** 帮助你预测变量之间的关系，并准确预测新数据点在这条线上的位置。例如，你可以预测_南瓜在九月和十二月的价格_。 +- **逻辑回归** 帮助你发现“二元类别”：在这个价格点上，_这个南瓜是橙色还是非橙色_？ + +分类使用各种算法来确定数据点的标签或类别。让我们通过这个美食数据集来看看，是否可以通过观察一组食材来确定它的美食来源。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +> ### [本课程也提供 R 版本！](../../../../4-Classification/1-Introduction/solution/R/lesson_10.html) + +### 简介 + +分类是机器学习研究者和数据科学家的基本活动之一。从简单的二元值分类（“这封邮件是垃圾邮件吗？”）到使用计算机视觉进行复杂的图像分类和分割，能够将数据分类并提出问题总是很有用的。 + +用更科学的方式表述，你的分类方法会创建一个预测模型，使你能够将输入变量与输出变量之间的关系映射出来。 + +![二元分类 vs. 多类分类](../../../../4-Classification/1-Introduction/images/binary-multiclass.png) + +> 分类算法处理二元问题和多类问题的对比。信息图由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +在开始清理数据、可视化数据并为机器学习任务做准备之前，让我们先了解一下机器学习分类数据的各种方式。 + +分类源自[统计学](https://wikipedia.org/wiki/Statistical_classification)，使用经典机器学习进行分类时，会利用特征（如 `smoker`、`weight` 和 `age`）来确定_患某种疾病的可能性_。作为一种类似于之前回归练习的监督学习技术，你的数据是带标签的，机器学习算法使用这些标签来分类和预测数据集的类别（或“特征”），并将其分配到某个组或结果中。 + +✅ 花点时间想象一个关于美食的数据集。一个多类模型可以回答什么问题？一个二元模型可以回答什么问题？如果你想确定某种美食是否可能使用葫芦巴呢？如果你想知道，给你一袋装满八角、洋蓟、花椰菜和辣根的杂货，你是否可以做出一道典型的印度菜呢？ + +[![疯狂的神秘篮子](https://img.youtube.com/vi/GuTeDbaNoEU/0.jpg)](https://youtu.be/GuTeDbaNoEU "疯狂的神秘篮子") + +> 🎥 点击上方图片观看视频。节目《Chopped》的核心是“神秘篮子”，厨师们必须用随机选择的食材制作一道菜。机器学习模型肯定能帮上忙！ + +## 你好，“分类器” + +我们想要从这个美食数据集中提出的问题实际上是一个**多类问题**，因为我们有多个潜在的国家美食类别可供选择。给定一组食材，这些数据会属于哪一类？ + +Scikit-learn 提供了多种算法来分类数据，具体取决于你想解决的问题类型。在接下来的两节课中，你将学习其中几种算法。 + +## 练习 - 清理并平衡数据 + +在开始这个项目之前，第一项任务是清理并**平衡**数据，以获得更好的结果。从本文件夹根目录中的空白 _notebook.ipynb_ 文件开始。 + +首先需要安装 [imblearn](https://imbalanced-learn.org/stable/)。这是一个 Scikit-learn 的扩展包，可以帮助你更好地平衡数据（稍后你会了解更多关于这个任务的内容）。 + +1. 安装 `imblearn`，运行以下命令： + + ```python + pip install imblearn + ``` + +1. 导入所需的包以导入数据并进行可视化，同时从 `imblearn` 中导入 `SMOTE`。 + + ```python + import pandas as pd + import matplotlib.pyplot as plt + import matplotlib as mpl + import numpy as np + from imblearn.over_sampling import SMOTE + ``` + + 现在你已经准备好导入数据了。 + +1. 接下来导入数据： + + ```python + df = pd.read_csv('../data/cuisines.csv') + ``` + + 使用 `read_csv()` 将 _cusines.csv_ 文件的内容读取到变量 `df` 中。 + +1. 检查数据的形状： + + ```python + df.head() + ``` + + 前五行数据如下所示： + + ```output + | | Unnamed: 0 | cuisine | almond | angelica | anise | anise_seed | apple | apple_brandy | apricot | armagnac | ... | whiskey | white_bread | white_wine | whole_grain_wheat_flour | wine | wood | yam | yeast | yogurt | zucchini | + | --- | ---------- | ------- | ------ | -------- | ----- | ---------- | ----- | ------------ | ------- | -------- | --- | ------- | ----------- | ---------- | ----------------------- | ---- | ---- | --- | ----- | ------ | -------- | + | 0 | 65 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | + | 1 | 66 | indian | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | + | 2 | 67 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | + | 3 | 68 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | + | 4 | 69 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | + ``` + +1. 调用 `info()` 获取数据的信息： + + ```python + df.info() + ``` + + 输出类似于： + + ```output + + RangeIndex: 2448 entries, 0 to 2447 + Columns: 385 entries, Unnamed: 0 to zucchini + dtypes: int64(384), object(1) + memory usage: 7.2+ MB + ``` + +## 练习 - 了解美食 + +现在工作开始变得有趣了。让我们发现每种美食的数据分布情况。 + +1. 调用 `barh()` 将数据绘制为条形图： + + ```python + df.cuisine.value_counts().plot.barh() + ``` + + ![美食数据分布](../../../../4-Classification/1-Introduction/images/cuisine-dist.png) + + 美食的种类是有限的，但数据分布不均匀。你可以解决这个问题！在此之前，先多探索一下。 + +1. 找出每种美食的数据量并打印出来： + + ```python + thai_df = df[(df.cuisine == "thai")] + japanese_df = df[(df.cuisine == "japanese")] + chinese_df = df[(df.cuisine == "chinese")] + indian_df = df[(df.cuisine == "indian")] + korean_df = df[(df.cuisine == "korean")] + + print(f'thai df: {thai_df.shape}') + print(f'japanese df: {japanese_df.shape}') + print(f'chinese df: {chinese_df.shape}') + print(f'indian df: {indian_df.shape}') + print(f'korean df: {korean_df.shape}') + ``` + + 输出如下所示： + + ```output + thai df: (289, 385) + japanese df: (320, 385) + chinese df: (442, 385) + indian df: (598, 385) + korean df: (799, 385) + ``` + +## 探索食材 + +现在你可以更深入地挖掘数据，了解每种美食的典型食材。你需要清理那些在不同美食之间造成混淆的重复数据，因此让我们了解这个问题。 + +1. 在 Python 中创建一个函数 `create_ingredient()`，用于创建一个食材数据框。这个函数会先删除无用的列，然后按食材的数量进行排序： + + ```python + def create_ingredient_df(df): + ingredient_df = df.T.drop(['cuisine','Unnamed: 0']).sum(axis=1).to_frame('value') + ingredient_df = ingredient_df[(ingredient_df.T != 0).any()] + ingredient_df = ingredient_df.sort_values(by='value', ascending=False, + inplace=False) + return ingredient_df + ``` + + 现在你可以使用这个函数来了解每种美食中最受欢迎的前十种食材。 + +1. 调用 `create_ingredient()` 并通过调用 `barh()` 绘制图表： + + ```python + thai_ingredient_df = create_ingredient_df(thai_df) + thai_ingredient_df.head(10).plot.barh() + ``` + + ![泰国](../../../../4-Classification/1-Introduction/images/thai.png) + +1. 对日本美食数据做同样的操作： + + ```python + japanese_ingredient_df = create_ingredient_df(japanese_df) + japanese_ingredient_df.head(10).plot.barh() + ``` + + ![日本](../../../../4-Classification/1-Introduction/images/japanese.png) + +1. 接下来是中国美食的食材： + + ```python + chinese_ingredient_df = create_ingredient_df(chinese_df) + chinese_ingredient_df.head(10).plot.barh() + ``` + + ![中国](../../../../4-Classification/1-Introduction/images/chinese.png) + +1. 绘制印度美食的食材： + + ```python + indian_ingredient_df = create_ingredient_df(indian_df) + indian_ingredient_df.head(10).plot.barh() + ``` + + ![印度](../../../../4-Classification/1-Introduction/images/indian.png) + +1. 最后，绘制韩国美食的食材： + + ```python + korean_ingredient_df = create_ingredient_df(korean_df) + korean_ingredient_df.head(10).plot.barh() + ``` + + ![韩国](../../../../4-Classification/1-Introduction/images/korean.png) + +1. 现在，通过调用 `drop()` 删除那些在不同美食之间造成混淆的最常见食材： + + 每个人都喜欢米饭、大蒜和生姜！ + + ```python + feature_df= df.drop(['cuisine','Unnamed: 0','rice','garlic','ginger'], axis=1) + labels_df = df.cuisine #.unique() + feature_df.head() + ``` + +## 平衡数据集 + +现在你已经清理了数据，使用 [SMOTE](https://imbalanced-learn.org/dev/references/generated/imblearn.over_sampling.SMOTE.html)（“合成少数类过采样技术”）来平衡数据。 + +1. 调用 `fit_resample()`，这种策略通过插值生成新样本。 + + ```python + oversample = SMOTE() + transformed_feature_df, transformed_label_df = oversample.fit_resample(feature_df, labels_df) + ``` + + 通过平衡数据，你在分类时会获得更好的结果。想象一个二元分类问题。如果你的大部分数据属于一个类别，机器学习模型会更频繁地预测这个类别，仅仅因为它的数据更多。平衡数据可以消除这种不平衡。 + +1. 现在你可以检查每种食材的标签数量： + + ```python + print(f'new label count: {transformed_label_df.value_counts()}') + print(f'old label count: {df.cuisine.value_counts()}') + ``` + + 输出如下所示： + + ```output + new label count: korean 799 + chinese 799 + indian 799 + japanese 799 + thai 799 + Name: cuisine, dtype: int64 + old label count: korean 799 + indian 598 + chinese 442 + japanese 320 + thai 289 + Name: cuisine, dtype: int64 + ``` + + 数据现在干净、平衡，而且非常诱人！ + +1. 最后一步是将平衡后的数据（包括标签和特征）保存到一个新的数据框中，并导出到文件中： + + ```python + transformed_df = pd.concat([transformed_label_df,transformed_feature_df],axis=1, join='outer') + ``` + +1. 你可以通过调用 `transformed_df.head()` 和 `transformed_df.info()` 再次查看数据。保存一份数据副本以供后续课程使用： + + ```python + transformed_df.head() + transformed_df.info() + transformed_df.to_csv("../data/cleaned_cuisines.csv") + ``` + + 这个新的 CSV 文件现在可以在根数据文件夹中找到。 + +--- + +## 🚀挑战 + +本课程包含多个有趣的数据集。浏览 `data` 文件夹，看看是否有适合二元或多类分类的数据集？你会对这个数据集提出什么问题？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +探索 SMOTE 的 API。它最适合哪些用例？它解决了哪些问题？ + +## 作业 + +[探索分类方法](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/assignment.md b/translations/zh-CN/4-Classification/1-Introduction/assignment.md new file mode 100644 index 000000000..9d2600722 --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/assignment.md @@ -0,0 +1,16 @@ +# 探索分类方法 + +## 说明 + +在 [Scikit-learn 文档](https://scikit-learn.org/stable/supervised_learning.html) 中，你会发现大量用于分类数据的方法。请在这些文档中进行一次小型寻宝活动：你的目标是寻找分类方法，并将其与本课程中的一个数据集、一种可以提出的问题以及一种分类技术进行匹配。创建一个电子表格或 .doc 文件中的表格，并解释该数据集如何与分类算法配合使用。 + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | ----------------------------------------------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------------------------------------------------- | +| | 提交的文档概述了 5 种算法及其分类技术。概述解释清晰且详细。 | 提交的文档概述了 3 种算法及其分类技术。概述解释清晰且详细。 | 提交的文档概述了少于 3 种算法及其分类技术，且概述既不清晰也不详细。 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/notebook.ipynb b/translations/zh-CN/4-Classification/1-Introduction/notebook.ipynb new file mode 100644 index 000000000..ca6f5befb --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/notebook.ipynb @@ -0,0 +1,39 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "d544ef384b7ba73757d830a72372a7f2", + "translation_date": "2025-09-03T20:33:39+00:00", + "source_file": "4-Classification/1-Introduction/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/solution/Julia/README.md b/translations/zh-CN/4-Classification/1-Introduction/solution/Julia/README.md new file mode 100644 index 000000000..b411dd85f --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/solution/R/lesson_10-R.ipynb b/translations/zh-CN/4-Classification/1-Introduction/solution/R/lesson_10-R.ipynb new file mode 100644 index 000000000..37faa8081 --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/solution/R/lesson_10-R.ipynb @@ -0,0 +1,722 @@ +{ + "nbformat": 4, + "nbformat_minor": 2, + "metadata": { + "colab": { + "name": "lesson_10-R.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "2621e24705e8100893c9bf84e0fc8aef", + "translation_date": "2025-09-03T20:40:23+00:00", + "source_file": "4-Classification/1-Introduction/solution/R/lesson_10-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 构建分类模型：美味的亚洲和印度美食\n" + ], + "metadata": { + "id": "ItETB4tSFprR" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 分类简介：清理、准备和可视化数据\n", + "\n", + "在这四节课中，您将探索经典机器学习的一个核心主题——*分类*。我们将使用一个关于亚洲和印度美食的数据集，逐步学习各种分类算法的应用。希望您已经准备好大快朵颐！\n", + "\n", + "

\n", + " \n", + "

在这些课程中庆祝泛亚洲美食！图片由 Jen Looper 提供
\n", + "\n", + "分类是一种[监督学习](https://wikipedia.org/wiki/Supervised_learning)形式，与回归技术有许多相似之处。在分类中，您训练一个模型来预测某个项目属于哪个`类别`。如果机器学习的核心是通过数据集预测事物的值或名称，那么分类通常分为两类：*二元分类*和*多类分类*。\n", + "\n", + "请记住：\n", + "\n", + "- **线性回归**帮助您预测变量之间的关系，并准确预测新数据点在该关系线上的位置。例如，您可以预测数值，比如*南瓜在九月和十二月的价格*。\n", + "\n", + "- **逻辑回归**帮助您发现“二元类别”：在这个价格点，*这个南瓜是橙色还是非橙色*？\n", + "\n", + "分类使用各种算法来确定数据点的标签或类别。让我们使用这个美食数据集，看看通过观察一组食材，是否可以确定其美食的来源。\n", + "\n", + "### [**课前测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/19/)\n", + "\n", + "### **简介**\n", + "\n", + "分类是机器学习研究人员和数据科学家的基本活动之一。从简单的二元值分类（“这封邮件是垃圾邮件还是不是？”），到使用计算机视觉进行复杂的图像分类和分割，能够将数据分类并提出问题总是非常有用。\n", + "\n", + "用更科学的方式来说，您的分类方法会创建一个预测模型，使您能够将输入变量与输出变量之间的关系进行映射。\n", + "\n", + "

\n", + " \n", + "

分类算法处理二元问题与多类问题。信息图由 Jen Looper 提供
\n", + "\n", + "在开始清理数据、可视化数据以及为机器学习任务准备数据之前，让我们先了解一下机器学习如何用于分类数据的各种方式。\n", + "\n", + "分类源自[统计学](https://wikipedia.org/wiki/Statistical_classification)，使用经典机器学习进行分类时，会利用特征，例如`吸烟者`、`体重`和`年龄`，来确定*患某种疾病的可能性*。作为一种类似于您之前进行的回归练习的监督学习技术，您的数据是带标签的，机器学习算法使用这些标签来分类和预测数据集的类别（或“特征”），并将其分配到某个组或结果中。\n", + "\n", + "✅ 花点时间想象一个关于美食的数据集。多类模型可以回答什么问题？二元模型可以回答什么问题？如果您想确定某种美食是否可能使用葫芦巴怎么办？如果您想知道，假如收到一袋包含八角、洋蓟、花椰菜和辣根的杂货，是否可以制作一道典型的印度菜呢？\n", + "\n", + "### **你好，‘分类器’**\n", + "\n", + "我们想要从这个美食数据集中提出的问题实际上是一个**多类问题**，因为我们有多个潜在的国家美食类别可以选择。给定一组食材，这些数据会属于哪一个类别？\n", + "\n", + "Tidymodels 提供了几种不同的算法来分类数据，具体取决于您想解决的问题类型。在接下来的两节课中，您将学习其中几种算法。\n", + "\n", + "#### **前提条件**\n", + "\n", + "在本课程中，我们需要以下包来清理、准备和可视化数据：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个[集合的 R 包](https://www.tidyverse.org/packages)，旨在让数据科学更快、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个[建模和机器学习的包集合](https://www.tidymodels.org/packages/)。\n", + "\n", + "- `DataExplorer`： [DataExplorer 包](https://cran.r-project.org/web/packages/DataExplorer/vignettes/dataexplorer-intro.html)旨在简化和自动化探索性数据分析过程和报告生成。\n", + "\n", + "- `themis`： [themis 包](https://themis.tidymodels.org/)提供了处理不平衡数据的额外配方步骤。\n", + "\n", + "您可以通过以下方式安装它们：\n", + "\n", + "`install.packages(c(\"tidyverse\", \"tidymodels\", \"DataExplorer\", \"here\"))`\n", + "\n", + "或者，下面的脚本会检查您是否安装了完成本模块所需的包，并在缺少时为您安装。\n" + ], + "metadata": { + "id": "ri5bQxZ-Fz_0" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "suppressWarnings(if (!require(\"pacman\"))install.packages(\"pacman\"))\r\n", + "\r\n", + "pacman::p_load(tidyverse, tidymodels, DataExplorer, themis, here)" + ], + "outputs": [], + "metadata": { + "id": "KIPxa4elGAPI" + } + }, + { + "cell_type": "markdown", + "source": [ + "我们稍后会加载这些很棒的包，并使它们在我们当前的 R 会话中可用。（这只是为了说明，`pacman::p_load()` 已经为您完成了这一操作）\n" + ], + "metadata": { + "id": "YkKAxOJvGD4C" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 练习 - 清理并平衡数据\n", + "\n", + "在开始这个项目之前，首要任务是清理并**平衡**你的数据，以获得更好的结果。\n", + "\n", + "让我们来看看数据吧！🕵️\n" + ], + "metadata": { + "id": "PFkQDlk0GN5O" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Import data\r\n", + "df <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/4-Classification/data/cuisines.csv\")\r\n", + "\r\n", + "# View the first 5 rows\r\n", + "df %>% \r\n", + " slice_head(n = 5)\r\n" + ], + "outputs": [], + "metadata": { + "id": "Qccw7okxGT0S" + } + }, + { + "cell_type": "markdown", + "source": [ + "有趣！从表面上看，第一列是一种`id`列。让我们获取一些关于数据的更多信息。\n" + ], + "metadata": { + "id": "XrWnlgSrGVmR" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Basic information about the data\r\n", + "df %>%\r\n", + " introduce()\r\n", + "\r\n", + "# Visualize basic information above\r\n", + "df %>% \r\n", + " plot_intro(ggtheme = theme_light())" + ], + "outputs": [], + "metadata": { + "id": "4UcGmxRxGieA" + } + }, + { + "cell_type": "markdown", + "source": [ + "从输出中我们可以直接看到，我们有 `2448` 行和 `385` 列，并且没有缺失值。此外，我们还有一个离散列，*cuisine*。\n", + "\n", + "## 练习 - 了解菜系\n", + "\n", + "现在工作开始变得更有趣了。让我们探索每种菜系的数据分布。\n" + ], + "metadata": { + "id": "AaPubl__GmH5" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Count observations per cuisine\r\n", + "df %>% \r\n", + " count(cuisine) %>% \r\n", + " arrange(n)\r\n", + "\r\n", + "# Plot the distribution\r\n", + "theme_set(theme_light())\r\n", + "df %>% \r\n", + " count(cuisine) %>% \r\n", + " ggplot(mapping = aes(x = n, y = reorder(cuisine, -n))) +\r\n", + " geom_col(fill = \"midnightblue\", alpha = 0.7) +\r\n", + " ylab(\"cuisine\")" + ], + "outputs": [], + "metadata": { + "id": "FRsBVy5eGrrv" + } + }, + { + "cell_type": "markdown", + "source": [ + "世界上的菜系种类有限，但数据分布却不均衡。你可以改变这一点！在此之前，先多探索一下吧。\n", + "\n", + "接下来，让我们将每种菜系分配到各自的 tibble 中，并找出每种菜系的数据量（行数和列数）。\n", + "\n", + "> [tibble](https://tibble.tidyverse.org/) 是一种现代化的数据框。\n", + "\n", + "

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由 @allison_horst 创作的艺术作品
\n" + ], + "metadata": { + "id": "vVvyDb1kG2in" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Create individual tibble for the cuisines\r\n", + "thai_df <- df %>% \r\n", + " filter(cuisine == \"thai\")\r\n", + "japanese_df <- df %>% \r\n", + " filter(cuisine == \"japanese\")\r\n", + "chinese_df <- df %>% \r\n", + " filter(cuisine == \"chinese\")\r\n", + "indian_df <- df %>% \r\n", + " filter(cuisine == \"indian\")\r\n", + "korean_df <- df %>% \r\n", + " filter(cuisine == \"korean\")\r\n", + "\r\n", + "\r\n", + "# Find out how much data is available per cuisine\r\n", + "cat(\" thai df:\", dim(thai_df), \"\\n\",\r\n", + " \"japanese df:\", dim(japanese_df), \"\\n\",\r\n", + " \"chinese_df:\", dim(chinese_df), \"\\n\",\r\n", + " \"indian_df:\", dim(indian_df), \"\\n\",\r\n", + " \"korean_df:\", dim(korean_df))" + ], + "outputs": [], + "metadata": { + "id": "0TvXUxD3G8Bk" + } + }, + { + "cell_type": "markdown", + "source": [ + "## **练习 - 使用 dplyr 探索不同菜系的主要食材**\n", + "\n", + "现在你可以更深入地挖掘数据，了解每种菜系的典型食材。你需要清理一些会在菜系之间引起混淆的重复数据，所以让我们来学习如何解决这个问题。\n", + "\n", + "在 R 中创建一个名为 `create_ingredient()` 的函数，该函数返回一个食材数据框。这个函数将从删除一个无用的列开始，并根据食材的数量对其进行排序。\n", + "\n", + "R 中函数的基本结构如下：\n", + "\n", + "`myFunction <- function(arglist){`\n", + "\n", + "**`...`**\n", + "\n", + "**`return`**`(value)`\n", + "\n", + "`}`\n", + "\n", + "关于 R 函数的简洁介绍可以在[这里](https://skirmer.github.io/presentations/functions_with_r.html#1)找到。\n", + "\n", + "让我们直接开始吧！我们将使用之前课程中学习过的 [dplyr 动词](https://dplyr.tidyverse.org/)。回顾一下：\n", + "\n", + "- `dplyr::select()`：帮助你选择要保留或排除的**列**。\n", + "\n", + "- `dplyr::pivot_longer()`：帮助你“拉长”数据，增加行数并减少列数。\n", + "\n", + "- `dplyr::group_by()` 和 `dplyr::summarise()`：帮助你为不同组计算汇总统计数据，并将其整理成一个漂亮的表格。\n", + "\n", + "- `dplyr::filter()`：创建一个仅包含满足条件的行的数据子集。\n", + "\n", + "- `dplyr::mutate()`：帮助你创建或修改列。\n", + "\n", + "查看 Allison Horst 的这个充满[*艺术*](https://allisonhorst.shinyapps.io/dplyr-learnr/#section-welcome)的 learnr 教程，它介绍了一些 dplyr（Tidyverse 的一部分）中有用的数据整理函数。\n" + ], + "metadata": { + "id": "K3RF5bSCHC76" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Creates a functions that returns the top ingredients by class\r\n", + "\r\n", + "create_ingredient <- function(df){\r\n", + " \r\n", + " # Drop the id column which is the first colum\r\n", + " ingredient_df = df %>% select(-1) %>% \r\n", + " # Transpose data to a long format\r\n", + " pivot_longer(!cuisine, names_to = \"ingredients\", values_to = \"count\") %>% \r\n", + " # Find the top most ingredients for a particular cuisine\r\n", + " group_by(ingredients) %>% \r\n", + " summarise(n_instances = sum(count)) %>% \r\n", + " filter(n_instances != 0) %>% \r\n", + " # Arrange by descending order\r\n", + " arrange(desc(n_instances)) %>% \r\n", + " mutate(ingredients = factor(ingredients) %>% fct_inorder())\r\n", + " \r\n", + " \r\n", + " return(ingredient_df)\r\n", + "} # End of function" + ], + "outputs": [], + "metadata": { + "id": "uB_0JR82HTPa" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在我们可以使用这个函数来了解每种菜系中最受欢迎的前十种食材。让我们用 `thai_df` 来试试吧。\n" + ], + "metadata": { + "id": "h9794WF8HWmc" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Call create_ingredient and display popular ingredients\r\n", + "thai_ingredient_df <- create_ingredient(df = thai_df)\r\n", + "\r\n", + "thai_ingredient_df %>% \r\n", + " slice_head(n = 10)" + ], + "outputs": [], + "metadata": { + "id": "agQ-1HrcHaEA" + } + }, + { + "cell_type": "markdown", + "source": [ + "在上一节中，我们使用了`geom_col()`，现在让我们看看如何使用`geom_bar`来创建条形图。使用`?geom_bar`了解更多信息。\n" + ], + "metadata": { + "id": "kHu9ffGjHdcX" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Make a bar chart for popular thai cuisines\r\n", + "thai_ingredient_df %>% \r\n", + " slice_head(n = 10) %>% \r\n", + " ggplot(aes(x = n_instances, y = ingredients)) +\r\n", + " geom_bar(stat = \"identity\", width = 0.5, fill = \"steelblue\") +\r\n", + " xlab(\"\") + ylab(\"\")" + ], + "outputs": [], + "metadata": { + "id": "fb3Bx_3DHj6e" + } + }, + { + "cell_type": "markdown", + "source": [ + "让我们对日语数据做同样的事情\n" + ], + "metadata": { + "id": "RHP_xgdkHnvM" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Get popular ingredients for Japanese cuisines and make bar chart\r\n", + "create_ingredient(df = japanese_df) %>% \r\n", + " slice_head(n = 10) %>%\r\n", + " ggplot(aes(x = n_instances, y = ingredients)) +\r\n", + " geom_bar(stat = \"identity\", width = 0.5, fill = \"darkorange\", alpha = 0.8) +\r\n", + " xlab(\"\") + ylab(\"\")\r\n" + ], + "outputs": [], + "metadata": { + "id": "019v8F0XHrRU" + } + }, + { + "cell_type": "markdown", + "source": [ + "关于中国菜肴呢？\n" + ], + "metadata": { + "id": "iIGM7vO8Hu3v" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Get popular ingredients for Chinese cuisines and make bar chart\r\n", + "create_ingredient(df = chinese_df) %>% \r\n", + " slice_head(n = 10) %>%\r\n", + " ggplot(aes(x = n_instances, y = ingredients)) +\r\n", + " geom_bar(stat = \"identity\", width = 0.5, fill = \"cyan4\", alpha = 0.8) +\r\n", + " xlab(\"\") + ylab(\"\")" + ], + "outputs": [], + "metadata": { + "id": "lHd9_gd2HyzU" + } + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "ir8qyQbNH1c7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Get popular ingredients for Indian cuisines and make bar chart\r\n", + "create_ingredient(df = indian_df) %>% \r\n", + " slice_head(n = 10) %>%\r\n", + " ggplot(aes(x = n_instances, y = ingredients)) +\r\n", + " geom_bar(stat = \"identity\", width = 0.5, fill = \"#041E42FF\", alpha = 0.8) +\r\n", + " xlab(\"\") + ylab(\"\")" + ], + "outputs": [], + "metadata": { + "id": "ApukQtKjH5FO" + } + }, + { + "cell_type": "markdown", + "source": [ + "最后，绘制韩国食材。\n" + ], + "metadata": { + "id": "qv30cwY1H-FM" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Get popular ingredients for Korean cuisines and make bar chart\r\n", + "create_ingredient(df = korean_df) %>% \r\n", + " slice_head(n = 10) %>%\r\n", + " ggplot(aes(x = n_instances, y = ingredients)) +\r\n", + " geom_bar(stat = \"identity\", width = 0.5, fill = \"#852419FF\", alpha = 0.8) +\r\n", + " xlab(\"\") + ylab(\"\")" + ], + "outputs": [], + "metadata": { + "id": "lumgk9cHIBie" + } + }, + { + "cell_type": "markdown", + "source": [ + "从数据可视化中，我们现在可以使用 `dplyr::select()` 删除那些在不同菜系之间容易引起混淆的常见食材。\n", + "\n", + "大家都喜欢米饭、大蒜和姜！\n" + ], + "metadata": { + "id": "iO4veMXuIEta" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Drop id column, rice, garlic and ginger from our original data set\r\n", + "df_select <- df %>% \r\n", + " select(-c(1, rice, garlic, ginger))\r\n", + "\r\n", + "# Display new data set\r\n", + "df_select %>% \r\n", + " slice_head(n = 5)" + ], + "outputs": [], + "metadata": { + "id": "iHJPiG6rIUcK" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 使用配方预处理数据 👩‍🍳👨‍🍳 - 处理数据不平衡 ⚖️\n", + "\n", + "

\n", + " \n", + "

图片由 @allison_horst 提供
\n", + "\n", + "既然这节课是关于美食的，我们就需要将`recipes`放到具体的情境中。\n", + "\n", + "Tidymodels 提供了另一个非常实用的包：`recipes`——一个用于数据预处理的包。\n" + ], + "metadata": { + "id": "kkFd-JxdIaL6" + } + }, + { + "cell_type": "markdown", + "source": [ + "让我们再来看看我们菜肴的分布情况。\n" + ], + "metadata": { + "id": "6l2ubtTPJAhY" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Distribution of cuisines\r\n", + "old_label_count <- df_select %>% \r\n", + " count(cuisine) %>% \r\n", + " arrange(desc(n))\r\n", + "\r\n", + "old_label_count" + ], + "outputs": [], + "metadata": { + "id": "1e-E9cb7JDVi" + } + }, + { + "cell_type": "markdown", + "source": [ + "如你所见，各种菜系的数量分布非常不均衡。韩国菜的数量几乎是泰国菜的三倍。不平衡的数据通常会对模型性能产生负面影响。想象一个二分类问题，如果你的数据大部分属于一个类别，机器学习模型可能会更频繁地预测这个类别，仅仅因为它的数据更多。平衡数据可以处理任何偏斜的数据，帮助消除这种不平衡。许多模型在观察数量相等时表现最佳，因此在处理不平衡数据时往往会遇到困难。\n", + "\n", + "处理不平衡数据集主要有两种方法：\n", + "\n", + "- 为少数类别添加观察值：`过采样`，例如使用 SMOTE 算法\n", + "\n", + "- 从多数类别中移除观察值：`欠采样`\n", + "\n", + "现在我们来演示如何使用一个`配方`来处理不平衡数据集。配方可以被看作是一个蓝图，描述了应该对数据集应用哪些步骤，以使其准备好进行数据分析。\n" + ], + "metadata": { + "id": "soAw6826JKx9" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load themis package for dealing with imbalanced data\r\n", + "library(themis)\r\n", + "\r\n", + "# Create a recipe for preprocessing data\r\n", + "cuisines_recipe <- recipe(cuisine ~ ., data = df_select) %>% \r\n", + " step_smote(cuisine)\r\n", + "\r\n", + "cuisines_recipe" + ], + "outputs": [], + "metadata": { + "id": "HS41brUIJVJy" + } + }, + { + "cell_type": "markdown", + "source": [ + "让我们分解预处理步骤。\n", + "\n", + "- 使用公式调用 `recipe()` 告诉配方变量的*角色*，并以 `df_select` 数据作为参考。例如，`cuisine` 列被分配了 `outcome` 角色，而其他列则被分配了 `predictor` 角色。\n", + "\n", + "- [`step_smote(cuisine)`](https://themis.tidymodels.org/reference/step_smote.html) 创建了一个配方步骤的*规范*，通过使用这些案例的最近邻合成生成少数类的新样本。\n", + "\n", + "现在，如果我们想查看预处理后的数据，我们需要使用 [**`prep()`**](https://recipes.tidymodels.org/reference/prep.html) 和 [**`bake()`**](https://recipes.tidymodels.org/reference/bake.html) 来处理我们的配方。\n", + "\n", + "`prep()`：从训练集估算所需参数，这些参数可以稍后应用于其他数据集。\n", + "\n", + "`bake()`：将预处理过的配方应用于任何数据集。\n" + ], + "metadata": { + "id": "Yb-7t7XcJaC8" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Prep and bake the recipe\r\n", + "preprocessed_df <- cuisines_recipe %>% \r\n", + " prep() %>% \r\n", + " bake(new_data = NULL) %>% \r\n", + " relocate(cuisine)\r\n", + "\r\n", + "# Display data\r\n", + "preprocessed_df %>% \r\n", + " slice_head(n = 5)\r\n", + "\r\n", + "# Quick summary stats\r\n", + "preprocessed_df %>% \r\n", + " introduce()" + ], + "outputs": [], + "metadata": { + "id": "9QhSgdpxJl44" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在让我们检查我们的菜系分布，并将其与不平衡数据进行比较。\n" + ], + "metadata": { + "id": "dmidELh_LdV7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Distribution of cuisines\r\n", + "new_label_count <- preprocessed_df %>% \r\n", + " count(cuisine) %>% \r\n", + " arrange(desc(n))\r\n", + "\r\n", + "list(new_label_count = new_label_count,\r\n", + " old_label_count = old_label_count)" + ], + "outputs": [], + "metadata": { + "id": "aSh23klBLwDz" + } + }, + { + "cell_type": "markdown", + "source": [ + "嗯！数据干净整洁、平衡且非常棒，简直美味 😋！\n", + "\n", + "> 通常情况下，配方（recipe）通常被用作建模的预处理器，它定义了需要对数据集应用哪些步骤以使其为建模做好准备。在这种情况下，通常会使用 `workflow()`（正如我们在之前的课程中已经看到的），而不是手动估算配方。\n", + ">\n", + "> 因此，当你使用 tidymodels 时，通常不需要手动调用 **`prep()`** 和 **`bake()`** 来处理配方，但这些函数是非常有用的工具，可以用来确认配方是否按照你的预期运行，就像我们现在的情况一样。\n", + ">\n", + "> 当你使用 **`new_data = NULL`** 来 **`bake()`** 一个已经预处理好的配方时，你会得到定义配方时提供的数据，但这些数据已经经过了预处理步骤。\n", + "\n", + "现在，让我们保存一份这个数据的副本，以便在后续课程中使用：\n" + ], + "metadata": { + "id": "HEu80HZ8L7ae" + } + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Save preprocessed data\r\n", + "write_csv(preprocessed_df, \"../../../data/cleaned_cuisines_R.csv\")" + ], + "outputs": [], + "metadata": { + "id": "cBmCbIgrMOI6" + } + }, + { + "cell_type": "markdown", + "source": [ + "这个新的 CSV文件现在可以在根数据文件夹中找到。\n", + "\n", + "**🚀挑战**\n", + "\n", + "这个课程包含了几个有趣的数据集。浏览 `data` 文件夹，看看是否有适合二分类或多分类的数据集？你会对这个数据集提出哪些问题？\n", + "\n", + "## [**课后测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/20/)\n", + "\n", + "## **复习与自学**\n", + "\n", + "- 查看 [themis 包](https://github.com/tidymodels/themis)。我们还能使用哪些技术来处理数据不平衡问题？\n", + "\n", + "- Tidy models [参考网站](https://www.tidymodels.org/start/)。\n", + "\n", + "- H. Wickham 和 G. Grolemund, [*R for Data Science: 数据的可视化、建模、转换、整理和导入*](https://r4ds.had.co.nz/)。\n", + "\n", + "#### 感谢：\n", + "\n", + "[`Allison Horst`](https://twitter.com/allison_horst/) 创作了令人惊叹的插图，使 R 更加友好和吸引人。可以在她的 [画廊](https://www.google.com/url?q=https://github.com/allisonhorst/stats-illustrations&sa=D&source=editors&ust=1626380772530000&usg=AOvVaw3zcfyCizFQZpkSLzxiiQEM) 中找到更多插图。\n", + "\n", + "[Cassie Breviu](https://www.twitter.com/cassieview) 和 [Jen Looper](https://www.twitter.com/jenlooper) 创作了这个模块的原始 Python 版本 ♥️\n", + "\n", + "

\n", + " \n", + "

插图作者 @allison_horst
\n" + ], + "metadata": { + "id": "WQs5621pMGwf" + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/1-Introduction/solution/notebook.ipynb b/translations/zh-CN/4-Classification/1-Introduction/solution/notebook.ipynb new file mode 100644 index 000000000..0a9db550a --- /dev/null +++ b/translations/zh-CN/4-Classification/1-Introduction/solution/notebook.ipynb @@ -0,0 +1,706 @@ +{ + "cells": [ + { + "source": [ + "# 美味的亚洲和印度菜肴\n", + "\n", + "## 简介\n", + "亚洲和印度菜肴以其丰富的风味和多样的食材而闻名。无论是辛辣的咖喱还是清淡的蒸点心，这些菜肴都能满足各种口味。\n", + "\n", + "## 常见食材\n", + "以下是一些在亚洲和印度菜肴中常见的食材：\n", + "- 大米：许多菜肴的主食。\n", + "- 香料：如姜黄、孜然、香菜和辣椒。\n", + "- 豆类：如扁豆和鹰嘴豆。\n", + "- 蔬菜：如茄子、菠菜和花椰菜。\n", + "- 酱料：如酱油、鱼露和椰奶。\n", + "\n", + "## 经典菜肴\n", + "### 亚洲菜肴\n", + "- **寿司**：一种日本料理，由醋饭和生鱼片组成。\n", + "- **炒面**：一种中式料理，通常搭配蔬菜和肉类。\n", + "- **越南春卷**：用米纸包裹新鲜蔬菜和肉类的健康选择。\n", + "\n", + "### 印度菜肴\n", + "- **黄油鸡**：一种奶油味浓郁的咖喱鸡。\n", + "- **印度薄饼（Naan）**：一种用烤炉烤制的软面饼。\n", + "- **豆子咖喱（Dal）**：用扁豆制作的传统菜肴。\n", + "\n", + "## 烹饪技巧\n", + "- 使用新鲜的食材以确保最佳风味。\n", + "- 适量使用香料，避免过度。\n", + "- 慢炖咖喱以释放香料的全部风味。\n", + "\n", + "## 健康益处\n", + "亚洲和印度菜肴通常富含蔬菜和豆类，提供丰富的纤维和营养。此外，许多菜肴使用健康的烹饪方法，如蒸和炖。\n", + "\n", + "## 总结\n", + "无论是亚洲还是印度菜肴，它们都以独特的风味和多样性吸引着全球的美食爱好者。尝试这些菜肴不仅是一种味觉享受，也是一种文化体验。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "安装 Imblearn，它将启用 SMOTE。这是一个 Scikit-learn 包，可帮助在执行分类时处理不平衡数据。(https://imbalanced-learn.org/stable/)\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: imblearn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.0)\n", + "Requirement already satisfied: imbalanced-learn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from imblearn) (0.8.0)\n", + "Requirement already satisfied: numpy>=1.13.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from imbalanced-learn->imblearn) (1.19.2)\n", + "Requirement already satisfied: scipy>=0.19.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from imbalanced-learn->imblearn) (1.4.1)\n", + "Requirement already satisfied: scikit-learn>=0.24 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from imbalanced-learn->imblearn) (0.24.2)\n", + "Requirement already satisfied: joblib>=0.11 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from imbalanced-learn->imblearn) (0.16.0)\n", + "Requirement already satisfied: threadpoolctl>=2.0.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from scikit-learn>=0.24->imbalanced-learn->imblearn) (2.1.0)\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", + "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install imblearn" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mpl\n", + "import numpy as np\n", + "from imblearn.over_sampling import SMOTE" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv('../../data/cuisines.csv')" + ] + }, + { + "source": [ + "该数据集包括385列，表示给定菜系中各种菜系的所有种类的成分。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Unnamed: 0 cuisine almond angelica anise anise_seed apple \\\n", + "0 65 indian 0 0 0 0 0 \n", + "1 66 indian 1 0 0 0 0 \n", + "2 67 indian 0 0 0 0 0 \n", + "3 68 indian 0 0 0 0 0 \n", + "4 69 indian 0 0 0 0 0 \n", + "\n", + " apple_brandy apricot armagnac ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 385 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\nRangeIndex: 2448 entries, 0 to 2447\nColumns: 385 entries, Unnamed: 0 to zucchini\ndtypes: int64(384), object(1)\nmemory usage: 7.2+ MB\n" + ] + } + ], + "source": [ + "df.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "korean 799\n", + "indian 598\n", + "chinese 442\n", + "japanese 320\n", + "thai 289\n", + "Name: cuisine, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "df.cuisine.value_counts()" + ] + }, + { + "source": [ + "在条形图中显示菜系\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df.cuisine.value_counts().plot.barh()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "thai df: (289, 385)\njapanese df: (320, 385)\nchinese df: (442, 385)\nindian df: (598, 385)\nkorean df: (799, 385)\n" + ] + } + ], + "source": [ + "\n", + "thai_df = df[(df.cuisine == \"thai\")]\n", + "japanese_df = df[(df.cuisine == \"japanese\")]\n", + "chinese_df = df[(df.cuisine == \"chinese\")]\n", + "indian_df = df[(df.cuisine == \"indian\")]\n", + "korean_df = df[(df.cuisine == \"korean\")]\n", + "\n", + "print(f'thai df: {thai_df.shape}')\n", + "print(f'japanese df: {japanese_df.shape}')\n", + "print(f'chinese df: {chinese_df.shape}')\n", + "print(f'indian df: {indian_df.shape}')\n", + "print(f'korean df: {korean_df.shape}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def create_ingredient_df(df):\n", + " # transpose df, drop cuisine and unnamed rows, sum the row to get total for ingredient and add value header to new df\n", + " ingredient_df = df.T.drop(['cuisine','Unnamed: 0']).sum(axis=1).to_frame('value')\n", + " # drop ingredients that have a 0 sum\n", + " ingredient_df = ingredient_df[(ingredient_df.T != 0).any()]\n", + " # sort df\n", + " ingredient_df = ingredient_df.sort_values(by='value', ascending=False, inplace=False)\n", + " return ingredient_df\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 10 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "thai_ingredient_df = create_ingredient_df(thai_df)\r\n", + "thai_ingredient_df.head(10).plot.barh()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 11 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "japanese_ingredient_df = create_ingredient_df(japanese_df)\r\n", + "japanese_ingredient_df.head(10).plot.barh()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 12 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "chinese_ingredient_df = create_ingredient_df(chinese_df)\r\n", + "chinese_ingredient_df.head(10).plot.barh()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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EZGZmheLEZGZmheLEZGZmheLEZGZmheLEZGZmheLEZGZmheLEZGZmhVJRb34oqkWrGqiZNCfvMMxsK63wq8UKwSMmMzMrlB6bmCSdJ+lHafkiSefmHZOZmfXQS3mS3nHeEXFDXrGYmdk7VXRikvRV4JPAWuDPQD3Z3EsTge2B54FPRcQbkqYCG8jeMv4Y2YSDTe1MBtZHxLclvQ+4ARhINj37uIj4Y3edk5lZT1exl/IkHQacCYwEPgLUpk13RsRhETESWApcULLbnsBREfGFNpq+Dbg+7X8UsLqV40+UVCeprvGNjk6ka2Zm7ankEdPRwKyI2ABskPSrVH6wpGuAnYFq4J6SfWZERGNrDUrqBwyOiLsAUtstiogpwBSAPoOGxladiZmZva1iR0xtmAp8LiJGAFeTzXbb5PVcIjIzsw6r5MT0GHCapL6SqoFTU3k/YLWkKuCczjQYEa8BKyWdASCpj6Qdyxm0mZm1rWITU0TMBWaTPcTwG2AR2YMPXwWeJEtcf9iCpj8FXCppIfB74L1lCdjMzDpEEZV7e0RSdUSsT6Oah4GJETGvu+PoM2hoDJpwXXcf1szKzG9+6F6S6iOitnl5JT/8ADBF0kFk95FuySMpAYwY3J86f6HNzMqiohNTRHwi7xjMzKy8KvYek5mZbZucmMzMrFCcmMzMrFCcmMzMrFCcmMzMrFCcmMzMrFCcmMzMrFCcmMzMrFCcmMzMrFAq+s0PRbFoVQM1k+bkHYaZdTG/S697eMRkZmaF4sRkZmaF4sRkZmaFUojEJOlcSQslLZB0q6TTJD0pab6k30naQ1IvSc9JGpj26SXpeUkD0+eXkuamz9GpzmRJN0t6UNILki5N5TWSlkq6UdISSfdK2iFt20/S3ZLqJT0iaVh+PWNm1vPknpgkDQeuAo6PiJHA54FHgSMi4lDgDuBLEfEW8As2T5d+IrAgItYC3we+FxGHAWcCN5UcYhhwMnA48B9pynWAocD1ETEceDXtBzAFuCQixgCXAz9uJe6Jkuok1TW+0bDV/WBmZpkiPJV3PDAjItYBRMRfJY0ApkkaBGwPLE91bwZmAdcB5wM/S+UnAgdJamrzPZKq0/KciNgIbJS0BtgjlS+PiKfTcj1Qk/Y5CphR0lafloKOiClkSYw+g4ZW7jTAZmYFU4TE1JIfAt+NiNmSjgMmA0TEnyW9LOl4shFQ0+ipF9kIa0NpIym5bCwpamTzOTcv3yG182pEjCrr2ZiZWYflfikPuB8YJ2kAgKRdgf7AqrR9QrP6N5Fd0psREY2p7F7gkqYKkrYosUTE34HlksaldiRp5Ja0ZWZmWyb3xBQRS4BvAA9JWgB8l2yENENSPbCu2S6zgWo2X8YDuBSoTQ9QPANctBUhnQNckGJZApy+FW2ZmVknKaKybo9IqiV70OH9ecfSpLa2Nurq6vIOw8ysokiqj4ja5uVFvcfUIkmTgM+w+d6SmZltY3K/lNcZEXFtROwTEY/mHYuZmXWNikpMZma27XNiMjOzQnFiMjOzQnFiMjOzQnFiMjOzQnFiMjOzQnFiMjOzQnFiMjOzQqmoNz8U1aJVDdRMmpN3GGbWDVZce0reIWzzPGIyM7NCcWIyM7NCqZjEJOlj6SWu5WhrsqTLy9GWmZmVV0XcY5K0XUTMJpuLKa/jv5nHsc3MeppuHzFJOjdN6LdA0q2SaiTdn8ruk7R3qjdV0g2SngS+Jek8ST9K206T9KSk+ZJ+J2mPVD5Z0s2SHpT0gqRLS457paRnJT0KHFBSvp+kuyXVS3pE0rCWjt+NXWRm1qN164hJ0nDgKuCoiFiXplG/BbglIm6RdD7wA+CMtMueqW6jpPNKmnoUOCIiQtK/AV8Cvpi2DQM+CPQDlkn6CXAIcDYwiuyc5wH1qf4U4KKIeE7SvwA/Bo5vfvwWzmUiMBGg93sGbk23mJlZie6+lHc8MCMi1gFExF8lHQn8a9p+K+8cncxoKSmQJYxpkgYB2wPLS7bNiYiNwEZJa4A9gPcDd0XEGwCSZqef1cBRZNO4N+3fpwPHJyKmkCU1+gwaWlnTAJuZFVjR7zG93kr5D4HvRsRsSccBk0u2bSxZbqTtc+wFvBoRozp5fDMz6yLdfY/pfmCcpAEA6VLe78kus0E2ZfojHWinP7AqLU/oQP2HgTMk7SCpH3AaQET8HVguaVyKR5JGdvRkzMys/Lp1xBQRSyR9A3hIUiMwH7gE+JmkK4C1wKc70NRksstvfyNLdkPaOe48SdOABcAaYG7J5nOAn0i6CqgC7kj1zMwsB4rw7ZGtVVtbG3V1dXmHYWZWUSTVR0Rt8/KK+QNbMzPrGZyYzMysUJyYzMysUJyYzMysUJyYzMysUJyYzMysUJyYzMysUJyYzMysUJyYzMysUJyYzMysUIr+dvGKsGhVAzWT5uQdhpkVzIprT8k7hIrkEZOZmRVKj0pMkv5T0ol5x2FmZq3rUZfyIuJrecdgZmZtq/gRk6QvSFqcPpdJqpG0VNKNkpZIulfSDqnuVElj0/IJkuZLWiTpZkl9UvkKSVdLmpe2Dcvz/MzMepqKTkySxpBNLPgvwBHAhcAuwFDg+ogYDrwKnNlsv77AVGB8RIwgGzl+pqTKuogYDfwEuLyVY0+UVCeprvGNhrKel5lZT1bRiQk4BrgrIl6PiPXAncD7geUR8XSqUw/UNNvvgFTn2bR+C3BsyfY729gXgIiYEhG1EVHbe8f+W30iZmaWqfTE1JqNJcuNdP5eWtP+W7KvmZlthUpPTI8AZ0jaUdJOwMdTWXuWATWS3pfWPwU81EUxmplZJ1T0aCAi5kmaCjyVim4C/taB/TZI+jQwQ9J2wFzghi4L1MzMOkwRkXcMFa/PoKExaMJ1eYdhZgXjNz+0TVJ9RNQ2L6/oEVNRjBjcnzp/Ac3MyqLS7zGZmdk2xonJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxYnJzMwKxa8kKoNFqxqomTQn7zDMrAL4/Xnt84jJzMwKJdfEJGlnSZ/NM4YUx02SDso7DjMzy3/EtDPQqcQkqXc5A5DUOyL+LSKeKWe7Zma2ZfJOTNcC+0l6WtJcSb9u2iDpR5LOS8srJH1T0jxgnKQHJX1PUp2kpZIOk3SnpOckXVPSxiclPZXa/2lTUpO0XtJ3JC0Ajkzt1aZtH5Y0T9ICSfd1Z2eYmVn+iWkS8MeIGAVc0U7dVyJidETckdb/mSaYugGYBVwMHAycJ2mApAOB8cDRqf1G4Jy0707AkxExMiIebTqApIHAjcCZETESGNdaMJImpsRY1/hGQ2fP28zMWlFJT+VNa7Y+O/1cBCyJiNUAkl4A9gKOAcYAcyUB7ACsSfs0Ar9s4RhHAA9HxHKAiPhra8FExBRgCmQz2G7B+ZiZWQuKlJje5J0juL7Ntr/ebH1j+vlWyXLT+naAgFsi4sstHGtDRDRuRaxmZtZF8r6U9xrQLy2/CBwkqY+knYETtrLt+4CxknYHkLSrpH3a2ecJ4FhJQ5r22coYzMysk3IdMUXEK5Iek7QY+A0wHVgMLAfmb2Xbz0i6CrhXUi9gE9l9qBfb2GetpInAnWmfNcCHtiYOMzPrHEX49sjW6jNoaAyacF3eYZhZBfCbHzaTVJ8eYnuHIt1jqlgjBvenzl82M7OyyPsek5mZ2Ts4MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaH4zQ9lsGhVAzWT5uQdhplZt+qq1yt5xGRmZoXixGRmZoXS4xOTpIsknZt3HGZmlunx95gi4oa8YzAzs80qbsQk6VxJCyUtkHSrpKmSxpZsX59+HifpIUmzJL0g6VpJ50h6StIiSfulepMlXZ6WH5T0zVTnWUnvz+cszcx6ropKTJKGA1cBx0fESODz7ewyErgIOBD4FLB/RBwO3ARc0so+26U6lwH/0UYsEyXVSaprfKOhk2diZmatqajEBBwPzIiIdQAR8dd26s+NiNURsRH4I3BvKl8E1LSyz53pZ30bdYiIKRFRGxG1vXfs38HwzcysPZWWmFryJuk8JPUCti/ZtrFk+a2S9bdo/f5aU53GNuqYmVkXqbTEdD8wTtIAAEm7AiuAMWn7x4CqfEIzM7NyqKgRQUQskfQN4CFJjcB84N+BWZIWAHcDr+cZo5mZbR1FRN4xVLza2tqoq6vLOwwzs4oiqT4iapuXV9qlPDMz28Y5MZmZWaE4MZmZWaE4MZmZWaE4MZmZWaH4qbwykPQasCzvODphN2Bd3kF0guPtWpUWL1RezI63ZftExMDmhRX1d0wFtqylRx6LSlKd4+06jrfrVVrMjrdzfCnPzMwKxYnJzMwKxYmpPKbkHUAnOd6u5Xi7XqXF7Hg7wQ8/mJlZoXjEZGZmheLEZGZmheLEtBUkfVjSMknPS5qUdzwtkbRC0iJJT0uqS2W7SvqtpOfSz11yjvFmSWskLS4pazFGZX6Q+nyhpNEFiXeypFWpn5+W9NGSbV9O8S6TdHIO8e4l6QFJz0haIunzqbyQfdxGvIXsY0l9JT0laUGK9+pUPkTSkymuaZK2T+V90vrzaXtNQeKdKml5Sf+OSuXd/32ICH+24AP0JpuufV+yWXMXAAflHVcLca4AdmtW9i1gUlqeBHwz5xiPBUYDi9uLEfgo8BtAwBHAkwWJdzJweQt1D0rfjT7AkPSd6d3N8Q4CRqflfsCzKa5C9nEb8Rayj1M/VaflKuDJ1G/TgbNT+Q3AZ9LyZ4Eb0vLZwLRu7t/W4p0KjG2hfrd/Hzxi2nKHA89HxAsR8U/gDuD0nGPqqNOBW9LyLcAZOcZCRDwM/LVZcWsxng78PDJPADtLGtQ9kWZaibc1pwN3RMTGiFgOPE/23ek2EbE6Iual5deApcBgCtrHbcTbmlz7OPXT+rRalT4BHA/MTOXN+7ep32cCJ0hSN4XbVryt6fbvgxPTlhsM/LlkfSVt/+PJSwD3SqqXNDGV7RERq9PyX4A98gmtTa3FWOR+/1y61HFzyeXRQsWbLhsdSva/5ML3cbN4oaB9LKm3pKeBNcBvyUZtr0bEmy3E9Ha8aXsDMCDPeCOiqX+/kfr3e5L6NI836fL+dWLa9h0TEaOBjwAXSzq2dGNkY/VC/81AJcQI/ATYDxgFrAa+k2847yapGvglcFlE/L10WxH7uIV4C9vHEdEYEaOAPclGa8NyDqlNzeOVdDDwZbK4DwN2Bf49r/icmLbcKmCvkvU9U1mhRMSq9HMNcBfZP5qXm4bi6eea/CJsVWsxFrLfI+Ll9I/9LeBGNl9KKkS8kqrIfsnfFhF3puLC9nFL8Ra9jwEi4lXgAeBIskteTe8jLY3p7XjT9v7AK90cKvCOeD+cLqFGRGwEfkaO/evEtOXmAkPTkzfbk93EnJ1zTO8gaSdJ/ZqWgZOAxWRxTkjVJgCz8omwTa3FOBs4Nz0pdATQUHI5KjfNrrl/nKyfIYv37PQk1hBgKPBUN8cm4H+ApRHx3ZJNhezj1uItah9LGihp57S8A/AhsvtiDwBjU7Xm/dvU72OB+9OINc94/1DynxSR3Q8r7d/u/T509dMV2/KH7GmVZ8muJ1+ZdzwtxLcv2dNKC4AlTTGSXc++D3gO+B2wa85x3k52aWYT2fXrC1qLkezJoOtTny8CagsS760pnoVk/5AHldS/MsW7DPhIDvEeQ3aZbiHwdPp8tKh93Ea8hexj4BBgfoprMfC1VL4vWYJ8HpgB9EnlfdP682n7vgWJ9/7Uv4uBX7D5yb1u/z74lURmZlYovpRnZmaF4sRkZmaF4sRkZmaF4sRkZmaF4sRkZmaF4sRkZmaF4sRkZmaF8v8BEBScEicaSW4AAAAASUVORK5CYII=\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "indian_ingredient_df = create_ingredient_df(indian_df)\r\n", + "indian_ingredient_df.head(10).plot.barh()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 14 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "korean_ingredient_df = create_ingredient_df(korean_df)\r\n", + "korean_ingredient_df.head(10).plot.barh()" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " almond angelica anise anise_seed apple apple_brandy apricot \\\n", + "0 0 0 0 0 0 0 0 \n", + "1 1 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 0 0 \n", + "\n", + " armagnac artemisia artichoke ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + 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" + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "feature_df= df.drop(['cuisine','Unnamed: 0','rice','garlic','ginger'], axis=1)\n", + "labels_df = df.cuisine #.unique()\n", + "feature_df.head()\n" + ] + }, + { + "source": [ + "使用SMOTE过采样平衡数据到最高类别。阅读更多内容：https://imbalanced-learn.org/dev/references/generated/imblearn.over_sampling.SMOTE.html\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "oversample = SMOTE()\n", + "transformed_feature_df, transformed_label_df = oversample.fit_resample(feature_df, labels_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "new label count: korean 799\nchinese 799\njapanese 799\nindian 799\nthai 799\nName: cuisine, dtype: int64\nold label count: korean 799\nindian 598\nchinese 442\njapanese 320\nthai 289\nName: cuisine, dtype: int64\n" + ] + } + ], + "source": [ + "print(f'new label count: {transformed_label_df.value_counts()}')\r\n", + "print(f'old label count: {df.cuisine.value_counts()}')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " almond angelica anise anise_seed apple apple_brandy apricot \\\n", + "0 0 0 0 0 0 0 0 \n", + "1 1 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 0 0 \n", + "\n", + " armagnac artemisia artichoke ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 380 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "# export transformed data to new df for classification\n", + "transformed_df = pd.concat([transformed_label_df,transformed_feature_df],axis=1, join='outer')\n", + "transformed_df" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\nRangeIndex: 3995 entries, 0 to 3994\nColumns: 381 entries, cuisine to zucchini\ndtypes: int64(380), object(1)\nmemory usage: 11.6+ MB\n" + ] + } + ], + "source": [ + "transformed_df.info()" + ] + }, + { + "source": [ + "保存文件以供将来使用\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "transformed_df.to_csv(\"../../data/cleaned_cuisines.csv\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "1da12ed6d238756959b8de9cac2a35a2", + "translation_date": "2025-09-03T20:34:56+00:00", + "source_file": "4-Classification/1-Introduction/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/README.md b/translations/zh-CN/4-Classification/2-Classifiers-1/README.md new file mode 100644 index 000000000..10d610013 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/README.md @@ -0,0 +1,244 @@ +# 美食分类器 1 + +在本课中，您将使用上一课保存的数据集，该数据集包含关于美食的平衡且干净的数据。 + +您将使用这个数据集和多种分类器来_根据一组食材预测某种国家美食_。在此过程中，您将进一步了解算法如何用于分类任务。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) +# 准备工作 + +假设您已完成[第1课](../1-Introduction/README.md)，请确保在根目录的`/data`文件夹中存在一个名为_cleaned_cuisines.csv_的文件，以供这四节课使用。 + +## 练习 - 预测国家美食 + +1. 在本课的_notebook.ipynb_文件夹中，导入该文件以及Pandas库： + + ```python + import pandas as pd + cuisines_df = pd.read_csv("../data/cleaned_cuisines.csv") + cuisines_df.head() + ``` + + 数据看起来如下： + +| | Unnamed: 0 | cuisine | almond | angelica | anise | anise_seed | apple | apple_brandy | apricot | armagnac | ... | whiskey | white_bread | white_wine | whole_grain_wheat_flour | wine | wood | yam | yeast | yogurt | zucchini | +| --- | ---------- | ------- | ------ | -------- | ----- | ---------- | ----- | ------------ | ------- | -------- | --- | ------- | ----------- | ---------- | ----------------------- | ---- | ---- | --- | ----- | ------ | -------- | +| 0 | 0 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 1 | 1 | indian | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 2 | 2 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 3 | 3 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 4 | 4 | indian | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | + + +1. 现在，导入更多的库： + + ```python + from sklearn.linear_model import LogisticRegression + from sklearn.model_selection import train_test_split, cross_val_score + from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report, precision_recall_curve + from sklearn.svm import SVC + import numpy as np + ``` + +1. 将X和y坐标分成两个数据框用于训练。`cuisine`可以作为标签数据框： + + ```python + cuisines_label_df = cuisines_df['cuisine'] + cuisines_label_df.head() + ``` + + 它看起来如下： + + ```output + 0 indian + 1 indian + 2 indian + 3 indian + 4 indian + Name: cuisine, dtype: object + ``` + +1. 使用`drop()`方法删除`Unnamed: 0`列和`cuisine`列，并将剩余的数据保存为可训练的特征： + + ```python + cuisines_feature_df = cuisines_df.drop(['Unnamed: 0', 'cuisine'], axis=1) + cuisines_feature_df.head() + ``` + + 您的特征看起来如下： + +| | almond | angelica | anise | anise_seed | apple | apple_brandy | apricot | armagnac | artemisia | artichoke | ... | whiskey | white_bread | white_wine | whole_grain_wheat_flour | wine | wood | yam | yeast | yogurt | zucchini | +| ---: | -----: | -------: | ----: | ---------: | ----: | -----------: | ------: | -------: | --------: | --------: | ---: | ------: | ----------: | ---------: | ----------------------: | ---: | ---: | ---: | ----: | -----: | -------: | +| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +| 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | + +现在您可以开始训练模型了！ + +## 选择分类器 + +现在数据已经清理完毕并准备好训练，您需要决定使用哪种算法来完成任务。 + +Scikit-learn将分类归类为监督学习，在这一类别中，您会发现许多分类方法。[种类繁多](https://scikit-learn.org/stable/supervised_learning.html)，初看可能会让人眼花缭乱。以下方法都包含分类技术： + +- 线性模型 +- 支持向量机 +- 随机梯度下降 +- 最近邻 +- 高斯过程 +- 决策树 +- 集成方法（投票分类器） +- 多分类和多输出算法（多分类和多标签分类，多分类-多输出分类） + +> 您也可以使用[神经网络进行数据分类](https://scikit-learn.org/stable/modules/neural_networks_supervised.html#classification)，但这超出了本课的范围。 + +### 选择哪个分类器？ + +那么，应该选择哪个分类器呢？通常，可以尝试多个分类器并寻找效果较好的结果。Scikit-learn提供了一个[并排比较](https://scikit-learn.org/stable/auto_examples/classification/plot_classifier_comparison.html)，在一个创建的数据集上比较了KNeighbors、SVC两种方式、GaussianProcessClassifier、DecisionTreeClassifier、RandomForestClassifier、MLPClassifier、AdaBoostClassifier、GaussianNB和QuadraticDiscrinationAnalysis，并以可视化方式展示结果： + +![分类器比较](../../../../4-Classification/2-Classifiers-1/images/comparison.png) +> 图表来自Scikit-learn文档 + +> AutoML可以通过在云端运行这些比较来轻松解决这个问题，帮助您选择最适合数据的算法。试试[这里](https://docs.microsoft.com/learn/modules/automate-model-selection-with-azure-automl/?WT.mc_id=academic-77952-leestott) + +### 更好的方法 + +比盲目猜测更好的方法是参考这个可下载的[机器学习备忘单](https://docs.microsoft.com/azure/machine-learning/algorithm-cheat-sheet?WT.mc_id=academic-77952-leestott)。在这里，我们发现对于我们的多分类问题，有一些选择： + +![多分类问题备忘单](../../../../4-Classification/2-Classifiers-1/images/cheatsheet.png) +> 微软算法备忘单的一部分，详细说明了多分类选项 + +✅ 下载这个备忘单，打印出来，挂在墙上！ + +### 推理 + +让我们看看是否可以根据现有约束推理出不同的解决方法： + +- **神经网络过于复杂**。考虑到我们的数据集虽然干净但规模较小，并且我们通过本地笔记本运行训练，神经网络对于这个任务来说过于复杂。 +- **不使用二分类器**。我们不使用二分类器，因此排除了一对多（one-vs-all）。 +- **决策树或逻辑回归可能有效**。决策树可能有效，或者逻辑回归适用于多分类数据。 +- **多分类增强决策树解决不同问题**。多分类增强决策树最适合非参数任务，例如设计排名任务，因此对我们来说没有用。 + +### 使用Scikit-learn + +我们将使用Scikit-learn来分析数据。然而，在Scikit-learn中有许多方法可以使用逻辑回归。查看[可传递的参数](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html?highlight=logistic%20regressio#sklearn.linear_model.LogisticRegression)。 + +基本上有两个重要参数——`multi_class`和`solver`——需要指定，当我们要求Scikit-learn执行逻辑回归时。`multi_class`值应用某种行为。`solver`值决定使用哪种算法。并非所有的`solver`都可以与所有的`multi_class`值配对。 + +根据文档，在多分类情况下，训练算法： + +- **使用一对多（OvR）方案**，如果`multi_class`选项设置为`ovr` +- **使用交叉熵损失**，如果`multi_class`选项设置为`multinomial`。（目前`multinomial`选项仅支持‘lbfgs’、‘sag’、‘saga’和‘newton-cg’求解器。） + +> 🎓 这里的“方案”可以是“ovr”（一对多）或“multinomial”。由于逻辑回归实际上是为支持二分类设计的，这些方案使其能够更好地处理多分类任务。[来源](https://machinelearningmastery.com/one-vs-rest-and-one-vs-one-for-multi-class-classification/) + +> 🎓 “求解器”定义为“用于优化问题的算法”。[来源](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html?highlight=logistic%20regressio#sklearn.linear_model.LogisticRegression)。 + +Scikit-learn提供了这个表格来解释求解器如何处理不同数据结构带来的挑战： + +![求解器](../../../../4-Classification/2-Classifiers-1/images/solvers.png) + +## 练习 - 划分数据 + +我们可以专注于逻辑回归作为我们的第一次训练尝试，因为您在上一课中刚刚学习了它。 +通过调用`train_test_split()`将数据划分为训练组和测试组： + +```python +X_train, X_test, y_train, y_test = train_test_split(cuisines_feature_df, cuisines_label_df, test_size=0.3) +``` + +## 练习 - 应用逻辑回归 + +由于您使用的是多分类情况，您需要选择使用什么_方案_以及设置什么_求解器_。使用LogisticRegression并设置多分类选项和**liblinear**求解器进行训练。 + +1. 创建一个逻辑回归，multi_class设置为`ovr`，solver设置为`liblinear`： + + ```python + lr = LogisticRegression(multi_class='ovr',solver='liblinear') + model = lr.fit(X_train, np.ravel(y_train)) + + accuracy = model.score(X_test, y_test) + print ("Accuracy is {}".format(accuracy)) + ``` + + ✅ 尝试使用其他求解器，例如默认设置的`lbfgs` +> 注意，在需要时可以使用 Pandas [`ravel`](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.Series.ravel.html) 函数来展平数据。 +准确率超过 **80%**！ + +1. 你可以通过测试一行数据（#50）来查看此模型的实际效果： + + ```python + print(f'ingredients: {X_test.iloc[50][X_test.iloc[50]!=0].keys()}') + print(f'cuisine: {y_test.iloc[50]}') + ``` + + 结果打印如下： + + ```output + ingredients: Index(['cilantro', 'onion', 'pea', 'potato', 'tomato', 'vegetable_oil'], dtype='object') + cuisine: indian + ``` + + ✅ 尝试不同的行号并检查结果 + +1. 更深入地分析，你可以检查此预测的准确性： + + ```python + test= X_test.iloc[50].values.reshape(-1, 1).T + proba = model.predict_proba(test) + classes = model.classes_ + resultdf = pd.DataFrame(data=proba, columns=classes) + + topPrediction = resultdf.T.sort_values(by=[0], ascending = [False]) + topPrediction.head() + ``` + + 结果打印如下 - 印度菜是模型的最佳猜测，且概率较高： + + | | 0 | + | -------: | -------: | + | indian | 0.715851 | + | chinese | 0.229475 | + | japanese | 0.029763 | + | korean | 0.017277 | + | thai | 0.007634 | + + ✅ 你能解释为什么模型非常确定这是印度菜吗？ + +1. 通过打印分类报告获取更多细节，就像你在回归课程中所做的一样： + + ```python + y_pred = model.predict(X_test) + print(classification_report(y_test,y_pred)) + ``` + + | | precision | recall | f1-score | support | + | ------------ | --------- | ------ | -------- | ------- | + | chinese | 0.73 | 0.71 | 0.72 | 229 | + | indian | 0.91 | 0.93 | 0.92 | 254 | + | japanese | 0.70 | 0.75 | 0.72 | 220 | + | korean | 0.86 | 0.76 | 0.81 | 242 | + | thai | 0.79 | 0.85 | 0.82 | 254 | + | accuracy | 0.80 | 1199 | | | + | macro avg | 0.80 | 0.80 | 0.80 | 1199 | + | weighted avg | 0.80 | 0.80 | 0.80 | 1199 | + +## 🚀挑战 + +在本课中，你使用清理后的数据构建了一个机器学习模型，可以根据一系列食材预测国家菜系。花点时间阅读 Scikit-learn 提供的多种分类数据选项。深入了解“solver”的概念，理解其背后的工作原理。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +深入学习逻辑回归背后的数学原理：[这篇课件](https://people.eecs.berkeley.edu/~russell/classes/cs194/f11/lectures/CS194%20Fall%202011%20Lecture%2006.pdf) +## 作业 + +[研究 solvers](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。虽然我们尽力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/assignment.md b/translations/zh-CN/4-Classification/2-Classifiers-1/assignment.md new file mode 100644 index 000000000..686cb40d3 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/assignment.md @@ -0,0 +1,15 @@ +# 研究求解器 +## 说明 + +在本课中，你学习了将算法与机器学习过程相结合以创建准确模型的各种求解器。浏览课程中列出的求解器，并选择两个。在你自己的话中，比较和对比这两个求解器。它们解决什么样的问题？它们如何与各种数据结构协作？为什么你会选择其中一个而不是另一个？ + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | ---------------------------------------------------------------------------------------------- | ---------------------------------------------- | ---------------------------- | +| | 提交的 .doc 文件包含两段文字，每段分别对一个求解器进行深思熟虑的比较。 | 提交的 .doc 文件仅包含一段文字 | 作业未完成 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/notebook.ipynb b/translations/zh-CN/4-Classification/2-Classifiers-1/notebook.ipynb new file mode 100644 index 000000000..bbf8c89b7 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/notebook.ipynb @@ -0,0 +1,41 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "68829b06b4dcd512d3327849191f4d7f", + "translation_date": "2025-09-03T20:20:02+00:00", + "source_file": "4-Classification/2-Classifiers-1/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 构建分类模型\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/solution/Julia/README.md b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/Julia/README.md new file mode 100644 index 000000000..779236745 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/solution/R/lesson_11-R.ipynb b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/R/lesson_11-R.ipynb new file mode 100644 index 000000000..29cfa2fc6 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/R/lesson_11-R.ipynb @@ -0,0 +1,1298 @@ +{ + "nbformat": 4, + "nbformat_minor": 2, + "metadata": { + "colab": { + "name": "lesson_11-R.ipynb", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "6ea6a5171b1b99b7b5a55f7469c048d2", + "translation_date": "2025-09-03T20:24:29+00:00", + "source_file": "4-Classification/2-Classifiers-1/solution/R/lesson_11-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 构建分类模型：美味的亚洲和印度美食\n" + ], + "metadata": { + "id": "zs2woWv_HoE8" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 美食分类器 1\n", + "\n", + "在本课中，我们将探索多种分类器来*根据一组食材预测某种国家美食*。同时，我们将深入了解算法在分类任务中的一些应用方式。\n", + "\n", + "### [**课前测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/21/)\n", + "\n", + "### **准备工作**\n", + "\n", + "本课基于我们[上一课](https://github.com/microsoft/ML-For-Beginners/blob/main/4-Classification/1-Introduction/solution/lesson_10-R.ipynb)，其中我们：\n", + "\n", + "- 使用一个关于亚洲和印度各种美食的数据集进行了分类的简单介绍 😋。\n", + "\n", + "- 探索了一些 [dplyr 动词](https://dplyr.tidyverse.org/) 来准备和清理数据。\n", + "\n", + "- 使用 ggplot2 创建了漂亮的可视化图表。\n", + "\n", + "- 演示了如何通过使用 [recipes](https://recipes.tidymodels.org/articles/Simple_Example.html) 预处理数据来处理不平衡数据。\n", + "\n", + "- 演示了如何 `prep` 和 `bake` 我们的配方，以确认其能够正常工作。\n", + "\n", + "#### **前置条件**\n", + "\n", + "在本课中，我们需要以下包来清理、准备和可视化数据：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个 [R 包集合](https://www.tidyverse.org/packages)，旨在让数据科学更快、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个 [包集合](https://www.tidymodels.org/packages)，用于建模和机器学习。\n", + "\n", + "- `themis`： [themis 包](https://themis.tidymodels.org/) 提供了额外的配方步骤，用于处理不平衡数据。\n", + "\n", + "- `nnet`： [nnet 包](https://cran.r-project.org/web/packages/nnet/nnet.pdf) 提供了用于估计具有单个隐藏层的前馈神经网络以及多项逻辑回归模型的函数。\n", + "\n", + "您可以通过以下方式安装这些包：\n" + ], + "metadata": { + "id": "iDFOb3ebHwQC" + } + }, + { + "cell_type": "markdown", + "source": [ + "`install.packages(c(\"tidyverse\", \"tidymodels\", \"DataExplorer\", \"here\"))`\n", + "\n", + "或者，下面的脚本会检查您是否已安装完成本模块所需的包，并在缺少时为您安装。\n" + ], + "metadata": { + "id": "4V85BGCjII7F" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "source": [ + "suppressWarnings(if (!require(\"pacman\"))install.packages(\"pacman\"))\r\n", + "\r\n", + "pacman::p_load(tidyverse, tidymodels, themis, here)" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "Loading required package: pacman\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "an5NPyyKIKNR", + "outputId": "834d5e74-f4b8-49f9-8ab5-4c52ff2d7bc8" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. 将数据分为训练集和测试集\n", + "\n", + "我们将从上一节课中选择几个步骤开始。\n", + "\n", + "### 使用 `dplyr::select()` 删除最常见的食材，这些食材容易在不同菜系之间造成混淆。\n", + "\n", + "谁不喜欢米饭、大蒜和姜呢！\n" + ], + "metadata": { + "id": "0ax9GQLBINVv" + } + }, + { + "cell_type": "code", + "execution_count": 3, + "source": [ + "# Load the original cuisines data\r\n", + "df <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/4-Classification/data/cuisines.csv\")\r\n", + "\r\n", + "# Drop id column, rice, garlic and ginger from our original data set\r\n", + "df_select <- df %>% \r\n", + " select(-c(1, rice, garlic, ginger)) %>%\r\n", + " # Encode cuisine column as categorical\r\n", + " mutate(cuisine = factor(cuisine))\r\n", + "\r\n", + "# Display new data set\r\n", + "df_select %>% \r\n", + " slice_head(n = 5)\r\n", + "\r\n", + "# Display distribution of cuisines\r\n", + "df_select %>% \r\n", + " count(cuisine) %>% \r\n", + " arrange(desc(n))" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "New names:\n", + "* `` -> ...1\n", + "\n", + "\u001b[1m\u001b[1mRows: \u001b[1m\u001b[22m\u001b[34m\u001b[34m2448\u001b[34m\u001b[39m \u001b[1m\u001b[1mColumns: \u001b[1m\u001b[22m\u001b[34m\u001b[34m385\u001b[34m\u001b[39m\n", + "\n", + "\u001b[36m──\u001b[39m \u001b[1m\u001b[1mColumn specification\u001b[1m\u001b[22m \u001b[36m────────────────────────────────────────────────────────\u001b[39m\n", + "\u001b[1mDelimiter:\u001b[22m \",\"\n", + "\u001b[31mchr\u001b[39m (1): cuisine\n", + 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japanese320
thai 289
\n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 735 + }, + "id": "jhCrrH22IWVR", + "outputId": "d444a85c-1d8b-485f-bc4f-8be2e8f8217c" + } + }, + { + "cell_type": "markdown", + "source": [ + "太棒了！现在是时候将数据分割为70%用于训练，30%用于测试。我们还将应用一种`分层`技术，在分割数据时`保持每种菜系的比例`在训练和验证数据集中。\n", + "\n", + "[rsample](https://rsample.tidymodels.org/)是Tidymodels中的一个包，它提供了高效的数据分割和重采样的基础设施：\n" + ], + "metadata": { + "id": "AYTjVyajIdny" + } + }, + { + "cell_type": "code", + "execution_count": 4, + "source": [ + "# Load the core Tidymodels packages into R session\r\n", + "library(tidymodels)\r\n", + "\r\n", + "# Create split specification\r\n", + "set.seed(2056)\r\n", + "cuisines_split <- initial_split(data = df_select,\r\n", + " strata = cuisine,\r\n", + " prop = 0.7)\r\n", + "\r\n", + "# Extract the data in each split\r\n", + "cuisines_train <- training(cuisines_split)\r\n", + "cuisines_test <- testing(cuisines_split)\r\n", + "\r\n", + "# Print the number of cases in each split\r\n", + "cat(\"Training cases: \", nrow(cuisines_train), \"\\n\",\r\n", + " \"Test cases: \", nrow(cuisines_test), sep = \"\")\r\n", + "\r\n", + "# Display the first few rows of the training set\r\n", + "cuisines_train %>% \r\n", + " slice_head(n = 5)\r\n", + "\r\n", + "\r\n", + "# Display distribution of cuisines in the training set\r\n", + "cuisines_train %>% \r\n", + " count(cuisine) %>% \r\n", + " arrange(desc(n))" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Training cases: 1712\n", + "Test cases: 736" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + " cuisine almond angelica anise anise_seed apple apple_brandy apricot armagnac\n", + "1 chinese 0 0 0 0 0 0 0 0 \n", + "2 chinese 0 0 0 0 0 0 0 0 \n", + "3 chinese 0 0 0 0 0 0 0 0 \n", + "4 chinese 0 0 0 0 0 0 0 0 \n", + "5 chinese 0 0 0 0 0 0 0 0 \n", + " artemisia ⋯ whiskey white_bread white_wine whole_grain_wheat_flour wine wood\n", + "1 0 ⋯ 0 0 0 0 1 0 \n", + "2 0 ⋯ 0 0 0 0 1 0 \n", + "3 0 ⋯ 0 0 0 0 0 0 \n", + "4 0 ⋯ 0 0 0 0 0 0 \n", + "5 0 ⋯ 0 0 0 0 0 0 \n", + " yam yeast yogurt zucchini\n", + "1 0 0 0 0 \n", + "2 0 0 0 0 \n", + "3 0 0 0 0 \n", + "4 0 0 0 0 \n", + "5 0 0 0 0 " + ], + "text/markdown": [ + "\n", + "A tibble: 5 × 381\n", + "\n", + "| cuisine <fct> | almond <dbl> | angelica <dbl> | anise <dbl> | anise_seed <dbl> | apple <dbl> | apple_brandy <dbl> | apricot <dbl> | armagnac <dbl> | artemisia <dbl> | ⋯ ⋯ | whiskey <dbl> | white_bread <dbl> | white_wine <dbl> | whole_grain_wheat_flour <dbl> | wine <dbl> | wood <dbl> | yam <dbl> | yeast <dbl> | yogurt <dbl> | zucchini <dbl> |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| chinese | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |\n", + "| chinese | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |\n", + "| chinese | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| chinese | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| chinese | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "\n" + ], + "text/latex": [ + "A tibble: 5 × 381\n", + "\\begin{tabular}{lllllllllllllllllllll}\n", + " cuisine & almond & angelica & anise & anise\\_seed & apple & apple\\_brandy & apricot & armagnac & artemisia & ⋯ & whiskey & white\\_bread & white\\_wine & whole\\_grain\\_wheat\\_flour & wine & wood & yam & yeast & yogurt & zucchini\\\\\n", + " & & & & & & & & & & ⋯ & & & & & & & & & & \\\\\n", + "\\hline\n", + "\t chinese & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n", + "\t chinese & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n", + "\t chinese & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", + "\t chinese & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", + "\t chinese & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", + "\\end{tabular}\n" + ], + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A tibble: 5 × 381
cuisinealmondangelicaaniseanise_seedappleapple_brandyapricotarmagnacartemisia⋯whiskeywhite_breadwhite_winewhole_grain_wheat_flourwinewoodyamyeastyogurtzucchini
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A tibble: 5 × 2
cuisinen
<fct><int>
korean 559
indian 418
chinese 309
japanese224
thai 202
\n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 535 + }, + "id": "w5FWIkEiIjdN", + "outputId": "2e195fd9-1a8f-4b91-9573-cce5582242df" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. 处理数据不平衡\n", + "\n", + "正如你可能在原始数据集以及我们的训练集里注意到的，菜系的数量分布非常不均衡。韩餐的数量几乎是泰餐的*三倍*。数据不平衡通常会对模型性能产生负面影响。许多模型在观察数量相等时表现最佳，因此在处理不平衡数据时往往会遇到困难。\n", + "\n", + "处理数据不平衡主要有两种方法：\n", + "\n", + "- 为少数类别增加观察值：`过采样`，例如使用 SMOTE 算法，该算法通过少数类别的邻近样本合成生成新的样本。\n", + "\n", + "- 从多数类别中移除观察值：`欠采样`\n", + "\n", + "在之前的课程中，我们演示了如何使用 `recipe` 来处理数据不平衡问题。`recipe` 可以被看作是一个蓝图，描述了应该对数据集应用哪些步骤以使其准备好进行数据分析。在我们的案例中，我们希望在 `训练集` 中实现菜系数量的均衡分布。让我们直接开始吧。\n" + ], + "metadata": { + "id": "daBi9qJNIwqW" + } + }, + { + "cell_type": "code", + "execution_count": 5, + "source": [ + "# Load themis package for dealing with imbalanced data\r\n", + "library(themis)\r\n", + "\r\n", + "# Create a recipe for preprocessing training data\r\n", + "cuisines_recipe <- recipe(cuisine ~ ., data = cuisines_train) %>% \r\n", + " step_smote(cuisine)\r\n", + "\r\n", + "# Print recipe\r\n", + "cuisines_recipe" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Data Recipe\n", + "\n", + "Inputs:\n", + "\n", + " role #variables\n", + " outcome 1\n", + " predictor 380\n", + "\n", + "Operations:\n", + "\n", + "SMOTE based on cuisine" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 200 + }, + "id": "Az6LFBGxI1X0", + "outputId": "29d71d85-64b0-4e62-871e-bcd5398573b6" + } + }, + { + "cell_type": "markdown", + "source": [ + "您当然可以通过准备和烘焙来确认这份配方是否如预期般有效——所有标有“559”观察值的菜系标签。\n", + "\n", + "由于我们将使用这份配方作为建模的预处理器，`workflow()`将为我们完成所有的准备和烘焙工作，因此我们无需手动估算配方。\n", + "\n", + "现在我们准备开始训练模型了 👩‍💻👨‍💻！\n", + "\n", + "## 3. 选择您的分类器\n", + "\n", + "

\n", + " \n", + "

插画作者：@allison_horst
\n" + ], + "metadata": { + "id": "NBL3PqIWJBBB" + } + }, + { + "cell_type": "markdown", + "source": [ + "现在我们需要决定使用哪种算法来完成任务 🤔。\n", + "\n", + "在 Tidymodels 中，[`parsnip package`](https://parsnip.tidymodels.org/index.html) 提供了一个一致的接口，用于跨不同引擎（包）处理模型。请参阅 parsnip 文档，探索[模型类型和引擎](https://www.tidymodels.org/find/parsnip/#models)及其对应的[模型参数](https://www.tidymodels.org/find/parsnip/#model-args)。乍一看，种类繁多令人眼花缭乱。例如，以下方法都包括分类技术：\n", + "\n", + "- C5.0规则分类模型\n", + "\n", + "- 灵活判别模型\n", + "\n", + "- 线性判别模型\n", + "\n", + "- 正则化判别模型\n", + "\n", + "- 逻辑回归模型\n", + "\n", + "- 多项式回归模型\n", + "\n", + "- 朴素贝叶斯模型\n", + "\n", + "- 支持向量机\n", + "\n", + "- 最近邻算法\n", + "\n", + "- 决策树\n", + "\n", + "- 集成方法\n", + "\n", + "- 神经网络\n", + "\n", + "这个列表还在继续！\n", + "\n", + "### **选择哪种分类器？**\n", + "\n", + "那么，应该选择哪种分类器呢？通常，通过尝试多个分类器并寻找效果较好的结果是一种测试方法。\n", + "\n", + "> AutoML 通过在云端运行这些比较，巧妙地解决了这个问题，让你可以选择最适合数据的算法。试试 [这里](https://docs.microsoft.com/learn/modules/automate-model-selection-with-azure-automl/?WT.mc_id=academic-77952-leestott)\n", + "\n", + "此外，分类器的选择取决于我们的问题。例如，当结果可以被分类为`多于两个类别`时，就像我们的情况一样，你必须使用`多分类算法`而不是`二分类算法`。\n", + "\n", + "### **更好的方法**\n", + "\n", + "比盲目猜测更好的方法是参考这个可下载的[机器学习速查表](https://docs.microsoft.com/azure/machine-learning/algorithm-cheat-sheet?WT.mc_id=academic-77952-leestott)。在这里，我们发现，对于我们的多分类问题，我们有一些选择：\n", + "\n", + "

\n", + " \n", + "

微软算法速查表的一部分，详细介绍了多分类选项
\n" + ], + "metadata": { + "id": "a6DLAZ3vJZ14" + } + }, + { + "cell_type": "markdown", + "source": [ + "### **推理**\n", + "\n", + "让我们根据现有的约束条件来分析不同的方法：\n", + "\n", + "- **深度神经网络过于复杂**。考虑到我们数据集虽然干净但规模较小，并且我们是在本地通过笔记本运行训练，深度神经网络对于这个任务来说过于笨重。\n", + "\n", + "- **不使用二分类分类器**。我们不使用二分类分类器，因此排除了“一对多”的方法。\n", + "\n", + "- **决策树或逻辑回归可能适用**。决策树可能有效，或者可以使用多项式回归/多分类逻辑回归来处理多分类数据。\n", + "\n", + "- **多分类提升决策树解决的是不同的问题**。多分类提升决策树最适合非参数任务，例如用于构建排名的任务，因此对我们来说并不适用。\n", + "\n", + "此外，通常在尝试更复杂的机器学习模型（例如集成方法）之前，构建一个最简单的模型来了解数据情况是一个好主意。因此，在本课程中，我们将从一个`多项式回归`模型开始。\n", + "\n", + "> 逻辑回归是一种用于结果变量是分类（或名义）时的技术。对于二元逻辑回归，结果变量的数量是两个，而对于多项式逻辑回归，结果变量的数量超过两个。有关更多信息，请参阅[高级回归方法](https://bookdown.org/chua/ber642_advanced_regression/multinomial-logistic-regression.html)。\n", + "\n", + "## 4. 训练并评估一个多项式逻辑回归模型\n", + "\n", + "在Tidymodels中，`parsnip::multinom_reg()`定义了一个使用线性预测器通过多项式分布预测多分类数据的模型。有关使用此模型的不同方法/引擎，请参阅`?multinom_reg()`。\n", + "\n", + "在这个示例中，我们将通过默认的[nnet](https://cran.r-project.org/web/packages/nnet/nnet.pdf)引擎来拟合一个多项式回归模型。\n", + "\n", + "> 我随机选择了一个`penalty`值。实际上有更好的方法来选择这个值，例如通过`重采样`和`调参`模型，这些内容我们稍后会讨论。\n", + ">\n", + "> 如果您想了解更多关于如何调节模型超参数的信息，请参阅[Tidymodels: 入门](https://www.tidymodels.org/start/tuning/)。\n" + ], + "metadata": { + "id": "gWMsVcbBJemu" + } + }, + { + "cell_type": "code", + "execution_count": 6, + "source": [ + "# Create a multinomial regression model specification\r\n", + "mr_spec <- multinom_reg(penalty = 1) %>% \r\n", + " set_engine(\"nnet\", MaxNWts = 2086) %>% \r\n", + " set_mode(\"classification\")\r\n", + "\r\n", + "# Print model specification\r\n", + "mr_spec" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Multinomial Regression Model Specification (classification)\n", + "\n", + "Main Arguments:\n", + " penalty = 1\n", + "\n", + "Engine-Specific Arguments:\n", + " MaxNWts = 2086\n", + "\n", + "Computational engine: nnet \n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 166 + }, + "id": "Wq_fcyQiJvfG", + "outputId": "c30449c7-3864-4be7-f810-72a003743e2d" + } + }, + { + "cell_type": "markdown", + "source": [ + "干得好 🥳！现在我们已经有了一个配方和一个模型规范，我们需要找到一种方法将它们打包到一个对象中，这个对象首先会对数据进行预处理，然后将模型拟合到预处理后的数据上，同时还允许进行潜在的后处理操作。在 Tidymodels 中，这个方便的对象叫做 [`workflow`](https://workflows.tidymodels.org/)，它可以方便地保存你的建模组件！这在 *Python* 中我们称之为 *pipelines*。\n", + "\n", + "那么，让我们把所有内容打包到一个 workflow 中吧！📦\n" + ], + "metadata": { + "id": "NlSbzDfgJ0zh" + } + }, + { + "cell_type": "code", + "execution_count": 7, + "source": [ + "# Bundle recipe and model specification\r\n", + "mr_wf <- workflow() %>% \r\n", + " add_recipe(cuisines_recipe) %>% \r\n", + " add_model(mr_spec)\r\n", + "\r\n", + "# Print out workflow\r\n", + "mr_wf" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "══ Workflow ════════════════════════════════════════════════════════════════════\n", + "\u001b[3mPreprocessor:\u001b[23m Recipe\n", + "\u001b[3mModel:\u001b[23m multinom_reg()\n", + "\n", + "── Preprocessor ────────────────────────────────────────────────────────────────\n", + "1 Recipe Step\n", + "\n", + "• step_smote()\n", + "\n", + "── Model ───────────────────────────────────────────────────────────────────────\n", + "Multinomial Regression Model Specification (classification)\n", + "\n", + "Main Arguments:\n", + " penalty = 1\n", + "\n", + "Engine-Specific Arguments:\n", + " MaxNWts = 2086\n", + "\n", + "Computational engine: nnet \n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 333 + }, + "id": "Sc1TfPA4Ke3_", + "outputId": "82c70013-e431-4e7e-cef6-9fcf8aad4a6c" + } + }, + { + "cell_type": "markdown", + "source": [ + "工作流 👌👌！一个 **`workflow()`** 可以像模型一样进行拟合。所以，是时候训练一个模型了！\n" + ], + "metadata": { + "id": "TNQ8i85aKf9L" + } + }, + { + "cell_type": "code", + "execution_count": 8, + "source": [ + "# Train a multinomial regression model\n", + "mr_fit <- fit(object = mr_wf, data = cuisines_train)\n", + "\n", + "mr_fit" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "══ Workflow [trained] ══════════════════════════════════════════════════════════\n", + "\u001b[3mPreprocessor:\u001b[23m Recipe\n", + "\u001b[3mModel:\u001b[23m multinom_reg()\n", + "\n", + "── Preprocessor ────────────────────────────────────────────────────────────────\n", + "1 Recipe Step\n", + "\n", + "• step_smote()\n", + "\n", + "── Model ───────────────────────────────────────────────────────────────────────\n", + "Call:\n", + "nnet::multinom(formula = ..y ~ ., data = data, decay = ~1, MaxNWts = ~2086, \n", + " trace = FALSE)\n", + "\n", + "Coefficients:\n", + " (Intercept) almond angelica anise anise_seed apple\n", + "indian 0.19723325 0.2409661 0 -5.004955e-05 -0.1657635 -0.05769734\n", + "japanese 0.13961959 -0.6262400 0 -1.169155e-04 -0.4893596 -0.08585717\n", + "korean 0.22377347 -0.1833485 0 -5.560395e-05 -0.2489401 -0.15657804\n", + "thai -0.04336577 -0.6106258 0 4.903828e-04 -0.5782866 0.63451105\n", + " apple_brandy apricot armagnac artemisia artichoke asparagus\n", + "indian 0 0.37042636 0 -0.09122797 0 -0.27181970\n", + "japanese 0 0.28895643 0 -0.12651100 0 0.14054037\n", + "korean 0 -0.07981259 0 0.55756709 0 -0.66979948\n", + "thai 0 -0.33160904 0 -0.10725182 0 -0.02602152\n", + " avocado bacon baked_potato balm banana barley\n", + "indian -0.46624197 0.16008055 0 0 -0.2838796 0.2230625\n", + "japanese 0.90341344 0.02932727 0 0 -0.4142787 2.0953906\n", + "korean -0.06925382 -0.35804134 0 0 -0.2686963 -0.7233404\n", + "thai -0.21473955 -0.75594439 0 0 0.6784880 -0.4363320\n", + " bartlett_pear basil bay bean beech\n", + "indian 0 -0.7128756 0.1011587 -0.8777275 -0.0004380795\n", + "japanese 0 0.1288697 0.9425626 -0.2380748 0.3373437611\n", + "korean 0 -0.2445193 -0.4744318 -0.8957870 -0.0048784496\n", + "thai 0 1.5365848 0.1333256 0.2196970 -0.0113078024\n", + " beef beef_broth beef_liver beer beet\n", + "indian -0.7985278 0.2430186 -0.035598065 -0.002173738 0.01005813\n", + "japanese 0.2241875 -0.3653020 -0.139551027 0.128905553 0.04923911\n", + "korean 0.5366515 -0.6153237 0.213455197 -0.010828645 0.27325423\n", + "thai 0.1570012 -0.9364154 -0.008032213 -0.035063746 -0.28279823\n", + " bell_pepper bergamot berry bitter_orange black_bean\n", + "indian 0.49074330 0 0.58947607 0.191256164 -0.1945233\n", + "japanese 0.09074167 0 -0.25917977 -0.118915977 -0.3442400\n", + "korean -0.57876763 0 -0.07874180 -0.007729435 -0.5220672\n", + "thai 0.92554006 0 -0.07210196 -0.002983296 -0.4614426\n", + " black_currant black_mustard_seed_oil black_pepper black_raspberry\n", + "indian 0 0.38935801 -0.4453495 0\n", + "japanese 0 -0.05452887 -0.5440869 0\n", + "korean 0 -0.03929970 0.8025454 0\n", + "thai 0 -0.21498372 -0.9854806 0\n", + " black_sesame_seed black_tea blackberry blackberry_brandy\n", + "indian -0.2759246 0.3079977 0.191256164 0\n", + "japanese -0.6101687 -0.1671913 -0.118915977 0\n", + "korean 1.5197674 -0.3036261 -0.007729435 0\n", + "thai -0.1755656 -0.1487033 -0.002983296 0\n", + " blue_cheese blueberry bone_oil bourbon_whiskey brandy\n", + "indian 0 0.216164294 -0.2276744 0 0.22427587\n", + "japanese 0 -0.119186087 0.3913019 0 -0.15595599\n", + "korean 0 -0.007821986 0.2854487 0 -0.02562342\n", + "thai 0 -0.004947048 -0.0253658 0 -0.05715244\n", + "\n", + "...\n", + "and 308 more lines." + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "GMbdfVmTKkJI", + "outputId": "adf9ebdf-d69d-4a64-e9fd-e06e5322292e" + } + }, + { + "cell_type": "markdown", + "source": [ + "输出显示了模型在训练过程中学习到的系数。\n", + "\n", + "### 评估训练好的模型\n", + "\n", + "现在是时候通过在测试集上评估模型来看看它的表现了 📏！让我们从对测试集进行预测开始吧。\n" + ], + "metadata": { + "id": "tt2BfOxrKmcJ" + } + }, + { + "cell_type": "code", + "execution_count": 9, + "source": [ + "# Make predictions on the test set\n", + "results <- cuisines_test %>% select(cuisine) %>% \n", + " bind_cols(mr_fit %>% predict(new_data = cuisines_test))\n", + "\n", + "# Print out results\n", + "results %>% \n", + " slice_head(n = 5)" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " cuisine .pred_class\n", + "1 indian thai \n", + "2 indian indian \n", + "3 indian indian \n", + "4 indian indian \n", + "5 indian indian " + ], + "text/markdown": [ + "\n", + "A tibble: 5 × 2\n", + "\n", + "| cuisine <fct> | .pred_class <fct> |\n", + "|---|---|\n", + "| indian | thai |\n", + "| indian | indian |\n", + "| indian | indian |\n", + "| indian | indian |\n", + "| indian | indian |\n", + "\n" + ], + "text/latex": [ + "A tibble: 5 × 2\n", + "\\begin{tabular}{ll}\n", + " cuisine & .pred\\_class\\\\\n", + " & \\\\\n", + "\\hline\n", + "\t indian & thai \\\\\n", + "\t indian & indian\\\\\n", + "\t indian & indian\\\\\n", + "\t indian & indian\\\\\n", + "\t indian & indian\\\\\n", + "\\end{tabular}\n" + ], + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A tibble: 5 × 2
cuisine.pred_class
<fct><fct>
indianthai
indianindian
indianindian
indianindian
indianindian
\n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "id": "CqtckvtsKqax", + "outputId": "e57fe557-6a68-4217-fe82-173328c5436d" + } + }, + { + "cell_type": "markdown", + "source": [ + "干得好！在Tidymodels中，可以使用[yardstick](https://yardstick.tidymodels.org/)评估模型性能——这是一个通过性能指标来衡量模型效果的工具包。正如我们在逻辑回归课程中所做的那样，让我们从计算混淆矩阵开始。\n" + ], + "metadata": { + "id": "8w5N6XsBKss7" + } + }, + { + "cell_type": "code", + "execution_count": 10, + "source": [ + "# Confusion matrix for categorical data\n", + "conf_mat(data = results, truth = cuisine, estimate = .pred_class)\n" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " Truth\n", + "Prediction chinese indian japanese korean thai\n", + " chinese 83 1 8 15 10\n", + " indian 4 163 1 2 6\n", + " japanese 21 5 73 25 1\n", + " korean 15 0 11 191 0\n", + " thai 10 11 3 7 70" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 133 + }, + "id": "YvODvsLkK0iG", + "outputId": "bb69da84-1266-47ad-b174-d43b88ca2988" + } + }, + { + "cell_type": "markdown", + "source": [ + "当处理多个类别时，通常更直观的方式是将其可视化为热图，如下所示：\n" + ], + "metadata": { + "id": "c0HfPL16Lr6U" + } + }, + { + "cell_type": "code", + "execution_count": 11, + "source": [ + "update_geom_defaults(geom = \"tile\", new = list(color = \"black\", alpha = 0.7))\n", + "# Visualize confusion matrix\n", + "results %>% \n", + " conf_mat(cuisine, .pred_class) %>% \n", + " autoplot(type = \"heatmap\")" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "plot without title" + ], + "image/png": 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" + }, + "metadata": { + "image/png": { + "width": 420, + "height": 420 + } + } + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 436 + }, + "id": "HsAtwukyLsvt", + "outputId": "3032a224-a2c8-4270-b4f2-7bb620317400" + } + }, + { + "cell_type": "markdown", + "source": [ + "混淆矩阵图中较深的方块表示案例数量较多，希望你能看到一条较深方块组成的对角线，表明预测标签与实际标签一致的情况。\n", + "\n", + "现在让我们计算混淆矩阵的汇总统计数据。\n" + ], + "metadata": { + "id": "oOJC87dkLwPr" + } + }, + { + "cell_type": "code", + "execution_count": 12, + "source": [ + "# Summary stats for confusion matrix\n", + "conf_mat(data = results, truth = cuisine, estimate = .pred_class) %>% \n", + "summary()" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " .metric .estimator .estimate\n", + "1 accuracy multiclass 0.7880435\n", + "2 kap multiclass 0.7276583\n", + "3 sens macro 0.7780927\n", + "4 spec macro 0.9477598\n", + "5 ppv macro 0.7585583\n", + "6 npv macro 0.9460080\n", + "7 mcc multiclass 0.7292724\n", + "8 j_index macro 0.7258524\n", + "9 bal_accuracy macro 0.8629262\n", + "10 detection_prevalence macro 0.2000000\n", + "11 precision macro 0.7585583\n", + "12 recall macro 0.7780927\n", + "13 f_meas macro 0.7641862" + ], + "text/markdown": [ + "\n", + "A tibble: 13 × 3\n", + "\n", + "| .metric <chr> | .estimator <chr> | .estimate <dbl> |\n", + "|---|---|---|\n", + "| accuracy | multiclass | 0.7880435 |\n", + "| kap | multiclass | 0.7276583 |\n", + "| sens | macro | 0.7780927 |\n", + "| spec | macro | 0.9477598 |\n", + "| ppv | macro | 0.7585583 |\n", + "| npv | macro | 0.9460080 |\n", + "| mcc | multiclass | 0.7292724 |\n", + "| j_index | macro | 0.7258524 |\n", + "| bal_accuracy | macro | 0.8629262 |\n", + "| detection_prevalence | macro | 0.2000000 |\n", + "| precision | macro | 0.7585583 |\n", + "| recall | macro | 0.7780927 |\n", + "| f_meas | macro | 0.7641862 |\n", + "\n" + ], + "text/latex": [ + "A tibble: 13 × 3\n", + "\\begin{tabular}{lll}\n", + " .metric & .estimator & .estimate\\\\\n", + " & & \\\\\n", + "\\hline\n", + "\t accuracy & multiclass & 0.7880435\\\\\n", + "\t kap & multiclass & 0.7276583\\\\\n", + "\t sens & macro & 0.7780927\\\\\n", + "\t spec & macro & 0.9477598\\\\\n", + "\t ppv & macro & 0.7585583\\\\\n", + "\t npv & macro & 0.9460080\\\\\n", + "\t mcc & multiclass & 0.7292724\\\\\n", + "\t j\\_index & macro & 0.7258524\\\\\n", + "\t bal\\_accuracy & macro & 0.8629262\\\\\n", + "\t detection\\_prevalence & macro & 0.2000000\\\\\n", + "\t precision & macro & 0.7585583\\\\\n", + "\t recall & macro & 0.7780927\\\\\n", + "\t f\\_meas & macro & 0.7641862\\\\\n", + "\\end{tabular}\n" + ], + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A tibble: 13 × 3
.metric.estimator.estimate
<chr><chr><dbl>
accuracy multiclass0.7880435
kap multiclass0.7276583
sens macro 0.7780927
spec macro 0.9477598
ppv macro 0.7585583
npv macro 0.9460080
mcc multiclass0.7292724
j_index macro 0.7258524
bal_accuracy macro 0.8629262
detection_prevalencemacro 0.2000000
precision macro 0.7585583
recall macro 0.7780927
f_meas macro 0.7641862
\n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 494 + }, + "id": "OYqetUyzL5Wz", + "outputId": "6a84d65e-113d-4281-dfc1-16e8b70f37e6" + } + }, + { + "cell_type": "markdown", + "source": [ + "如果我们仅关注一些指标，比如准确率、敏感性、PPV，作为开始，我们的表现还不错 🥳！\n", + "\n", + "## 4. 深入探讨\n", + "\n", + "让我们问一个微妙的问题：选择某种菜系作为预测结果的标准是什么？\n", + "\n", + "实际上，统计机器学习算法，比如逻辑回归，是基于`概率`的；分类器真正预测的是一组可能结果的概率分布。然后，概率最高的类别会被选为给定观察数据中最可能的结果。\n", + "\n", + "让我们通过同时进行硬分类预测和概率预测来看看实际效果。\n" + ], + "metadata": { + "id": "43t7vz8vMJtW" + } + }, + { + "cell_type": "code", + "execution_count": 13, + "source": [ + "# Make hard class prediction and probabilities\n", + "results_prob <- cuisines_test %>%\n", + " select(cuisine) %>% \n", + " bind_cols(mr_fit %>% predict(new_data = cuisines_test)) %>% \n", + " bind_cols(mr_fit %>% predict(new_data = cuisines_test, type = \"prob\"))\n", + "\n", + "# Print out results\n", + "results_prob %>% \n", + " slice_head(n = 5)" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " cuisine .pred_class .pred_chinese .pred_indian .pred_japanese .pred_korean\n", + "1 indian thai 1.551259e-03 0.4587877 5.988039e-04 2.428503e-04\n", + "2 indian indian 2.637133e-05 0.9999488 6.648651e-07 2.259993e-05\n", + "3 indian indian 1.049433e-03 0.9909982 1.060937e-03 1.644947e-05\n", + "4 indian indian 6.237482e-02 0.4763035 9.136702e-02 3.660913e-01\n", + "5 indian indian 1.431745e-02 0.9418551 2.945239e-02 8.721782e-03\n", + " .pred_thai \n", + "1 5.388194e-01\n", + "2 1.577948e-06\n", + "3 6.874989e-03\n", + "4 3.863391e-03\n", + "5 5.653283e-03" + ], + "text/markdown": [ + "\n", + "A tibble: 5 × 7\n", + "\n", + "| cuisine <fct> | .pred_class <fct> | .pred_chinese <dbl> | .pred_indian <dbl> | .pred_japanese <dbl> | .pred_korean <dbl> | .pred_thai <dbl> |\n", + "|---|---|---|---|---|---|---|\n", + "| indian | thai | 1.551259e-03 | 0.4587877 | 5.988039e-04 | 2.428503e-04 | 5.388194e-01 |\n", + "| indian | indian | 2.637133e-05 | 0.9999488 | 6.648651e-07 | 2.259993e-05 | 1.577948e-06 |\n", + "| indian | indian | 1.049433e-03 | 0.9909982 | 1.060937e-03 | 1.644947e-05 | 6.874989e-03 |\n", + "| indian | indian | 6.237482e-02 | 0.4763035 | 9.136702e-02 | 3.660913e-01 | 3.863391e-03 |\n", + "| indian | indian | 1.431745e-02 | 0.9418551 | 2.945239e-02 | 8.721782e-03 | 5.653283e-03 |\n", + "\n" + ], + "text/latex": [ + "A tibble: 5 × 7\n", + "\\begin{tabular}{lllllll}\n", + " cuisine & .pred\\_class & .pred\\_chinese & .pred\\_indian & .pred\\_japanese & .pred\\_korean & .pred\\_thai\\\\\n", + " & & & & & & \\\\\n", + "\\hline\n", + "\t indian & thai & 1.551259e-03 & 0.4587877 & 5.988039e-04 & 2.428503e-04 & 5.388194e-01\\\\\n", + "\t indian & indian & 2.637133e-05 & 0.9999488 & 6.648651e-07 & 2.259993e-05 & 1.577948e-06\\\\\n", + "\t indian & indian & 1.049433e-03 & 0.9909982 & 1.060937e-03 & 1.644947e-05 & 6.874989e-03\\\\\n", + "\t indian & indian & 6.237482e-02 & 0.4763035 & 9.136702e-02 & 3.660913e-01 & 3.863391e-03\\\\\n", + "\t indian & indian & 1.431745e-02 & 0.9418551 & 2.945239e-02 & 8.721782e-03 & 5.653283e-03\\\\\n", + "\\end{tabular}\n" + ], + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A tibble: 5 × 7
cuisine.pred_class.pred_chinese.pred_indian.pred_japanese.pred_korean.pred_thai
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\n" + ] + }, + "metadata": {} + } + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 248 + }, + "id": "xdKNs-ZPMTJL", + "outputId": "68f6ac5a-725a-4eff-9ea6-481fef00e008" + } + }, + { + "cell_type": "markdown", + "source": [ + "为什么模型非常确定第一条观察是泰国菜？\n", + "\n", + "## **🚀挑战**\n", + "\n", + "在本课中，你使用清理后的数据构建了一个机器学习模型，可以根据一系列食材预测国家菜系。花点时间阅读 [Tidymodels 提供的多种选项](https://www.tidymodels.org/find/parsnip/#models) 来分类数据，以及 [其他方法](https://parsnip.tidymodels.org/articles/articles/Examples.html#multinom_reg-models) 来拟合多项式回归。\n", + "\n", + "#### 感谢：\n", + "\n", + "[`Allison Horst`](https://twitter.com/allison_horst/) 创作了令人惊叹的插图，使 R 更加友好和吸引人。可以在她的 [画廊](https://www.google.com/url?q=https://github.com/allisonhorst/stats-illustrations&sa=D&source=editors&ust=1626380772530000&usg=AOvVaw3zcfyCizFQZpkSLzxiiQEM) 中找到更多插图。\n", + "\n", + "[Cassie Breviu](https://www.twitter.com/cassieview) 和 [Jen Looper](https://www.twitter.com/jenlooper) 创作了本模块的原始 Python 版本 ♥️\n", + "\n", + "
\n", + "本来想加点笑话，但我对食物的双关语一窍不通 😅。\n", + "\n", + "
\n", + "\n", + "祝学习愉快，\n", + "\n", + "[Eric](https://twitter.com/ericntay)，微软金牌学习学生大使\n" + ], + "metadata": { + "id": "2tWVHMeLMYdM" + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/2-Classifiers-1/solution/notebook.ipynb b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/notebook.ipynb new file mode 100644 index 000000000..943f3d608 --- /dev/null +++ b/translations/zh-CN/4-Classification/2-Classifiers-1/solution/notebook.ipynb @@ -0,0 +1,281 @@ +{ + "cells": [ + { + "source": [ + "# 构建分类模型\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Unnamed: 0 cuisine almond angelica anise anise_seed apple \\\n", + "0 0 indian 0 0 0 0 0 \n", + "1 1 indian 1 0 0 0 0 \n", + "2 2 indian 0 0 0 0 0 \n", + "3 3 indian 0 0 0 0 0 \n", + "4 4 indian 0 0 0 0 0 \n", + "\n", + " apple_brandy apricot armagnac ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 382 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 1 + } + ], + "source": [ + "import pandas as pd\n", + "cuisines_df = pd.read_csv(\"../../data/cleaned_cuisines.csv\")\n", + "cuisines_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.model_selection import train_test_split, cross_val_score\n", + "from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report, precision_recall_curve\n", + "from sklearn.svm import SVC\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 indian\n", + "1 indian\n", + "2 indian\n", + "3 indian\n", + "4 indian\n", + "Name: cuisine, dtype: object" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "cuisines_label_df = cuisines_df['cuisine']\n", + "cuisines_label_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " almond angelica anise anise_seed apple apple_brandy apricot \\\n", + "0 0 0 0 0 0 0 0 \n", + "1 1 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 0 0 \n", + "\n", + " armagnac artemisia artichoke ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 380 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "cuisines_feature_df = cuisines_df.drop(['Unnamed: 0', 'cuisine'], axis=1)\n", + "cuisines_feature_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = train_test_split(cuisines_feature_df, cuisines_label_df, test_size=0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Accuracy is 0.8181818181818182\n" + ] + } + ], + "source": [ + "lr = LogisticRegression(multi_class='ovr',solver='liblinear')\n", + "model = lr.fit(X_train, np.ravel(y_train))\n", + "\n", + "accuracy = model.score(X_test, y_test)\n", + "print (\"Accuracy is {}\".format(accuracy))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "ingredients: Index(['artemisia', 'black_pepper', 'mushroom', 'shiitake', 'soy_sauce',\n 'vegetable_oil'],\n dtype='object')\ncuisine: korean\n" + ] + } + ], + "source": [ + "# test an item\n", + "print(f'ingredients: {X_test.iloc[50][X_test.iloc[50]!=0].keys()}')\n", + "print(f'cuisine: {y_test.iloc[50]}')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " 0\n", + "korean 0.392231\n", + "chinese 0.372872\n", + "japanese 0.218825\n", + "thai 0.013427\n", + "indian 0.002645" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "#rehsape to 2d array and transpose\n", + "test= X_test.iloc[50].values.reshape(-1, 1).T\n", + "# predict with score\n", + "proba = model.predict_proba(test)\n", + "classes = model.classes_\n", + "# create df with classes and scores\n", + "resultdf = pd.DataFrame(data=proba, columns=classes)\n", + "\n", + "# create df to show results\n", + "topPrediction = resultdf.T.sort_values(by=[0], ascending = [False])\n", + "topPrediction.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n\n chinese 0.75 0.73 0.74 223\n indian 0.93 0.88 0.90 255\n japanese 0.78 0.78 0.78 253\n korean 0.87 0.86 0.86 236\n thai 0.76 0.84 0.80 232\n\n accuracy 0.82 1199\n macro avg 0.82 0.82 0.82 1199\nweighted avg 0.82 0.82 0.82 1199\n\n" + ] + } + ], + "source": [ + "y_pred = model.predict(X_test)\r\n", + "print(classification_report(y_test,y_pred))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "9408506dd864f2b6e334c62f80c0cfcc", + "translation_date": "2025-09-03T20:20:25+00:00", + "source_file": "4-Classification/2-Classifiers-1/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/README.md b/translations/zh-CN/4-Classification/3-Classifiers-2/README.md new file mode 100644 index 000000000..fd95c847e --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/README.md @@ -0,0 +1,240 @@ +# 美食分类器 2 + +在第二节分类课程中，您将探索更多分类数值数据的方法。同时，您还将了解选择不同分类器的影响。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +### 前提条件 + +我们假设您已经完成了之前的课程，并在本四节课程的根目录中的 `data` 文件夹中准备了一个名为 _cleaned_cuisines.csv_ 的清理过的数据集。 + +### 准备工作 + +我们已经将清理过的数据集加载到您的 _notebook.ipynb_ 文件中，并将其分为 X 和 y 数据框，准备进行模型构建。 + +## 分类地图 + +之前，您已经了解了使用微软的速查表对数据进行分类的各种选项。Scikit-learn 提供了一个类似但更详细的速查表，可以进一步帮助您缩小选择范围（分类器的另一种说法是估计器）： + +![Scikit-learn 的机器学习地图](../../../../4-Classification/3-Classifiers-2/images/map.png) +> 提示：[在线访问此地图](https://scikit-learn.org/stable/tutorial/machine_learning_map/)，点击路径以阅读相关文档。 + +### 计划 + +一旦您对数据有了清晰的理解，这张地图就非常有用，您可以沿着它的路径做出决策： + +- 我们有 >50 个样本 +- 我们希望预测一个类别 +- 我们有标记数据 +- 我们的样本少于 100K +- ✨ 我们可以选择一个线性 SVC +- 如果这不起作用，因为我们有数值数据 + - 我们可以尝试 ✨ KNeighbors 分类器 + - 如果这不起作用，可以尝试 ✨ SVC 和 ✨ 集成分类器 + +这是一条非常有帮助的路径。 + +## 练习 - 划分数据 + +按照这条路径，我们应该先导入一些需要使用的库。 + +1. 导入所需的库： + + ```python + from sklearn.neighbors import KNeighborsClassifier + from sklearn.linear_model import LogisticRegression + from sklearn.svm import SVC + from sklearn.ensemble import RandomForestClassifier, AdaBoostClassifier + from sklearn.model_selection import train_test_split, cross_val_score + from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report, precision_recall_curve + import numpy as np + ``` + +1. 划分训练数据和测试数据： + + ```python + X_train, X_test, y_train, y_test = train_test_split(cuisines_feature_df, cuisines_label_df, test_size=0.3) + ``` + +## 线性 SVC 分类器 + +支持向量聚类（SVC）是支持向量机（SVM）机器学习技术家族的一部分（下面可以了解更多）。在这种方法中，您可以选择一个“核函数”来决定如何聚类标签。“C”参数指的是“正则化”，用于调节参数的影响。核函数可以是[多种选项](https://scikit-learn.org/stable/modules/generated/sklearn.svm.SVC.html#sklearn.svm.SVC)之一；这里我们将其设置为“线性”，以确保我们使用线性 SVC。概率默认值为“false”；这里我们将其设置为“true”，以获取概率估计。我们将随机状态设置为“0”，以打乱数据以获取概率。 + +### 练习 - 应用线性 SVC + +首先创建一个分类器数组。随着测试的进行，您将逐步向该数组添加内容。 + +1. 从线性 SVC 开始： + + ```python + C = 10 + # Create different classifiers. + classifiers = { + 'Linear SVC': SVC(kernel='linear', C=C, probability=True,random_state=0) + } + ``` + +2. 使用线性 SVC 训练您的模型并打印报告： + + ```python + n_classifiers = len(classifiers) + + for index, (name, classifier) in enumerate(classifiers.items()): + classifier.fit(X_train, np.ravel(y_train)) + + y_pred = classifier.predict(X_test) + accuracy = accuracy_score(y_test, y_pred) + print("Accuracy (train) for %s: %0.1f%% " % (name, accuracy * 100)) + print(classification_report(y_test,y_pred)) + ``` + + 结果相当不错： + + ```output + Accuracy (train) for Linear SVC: 78.6% + precision recall f1-score support + + chinese 0.71 0.67 0.69 242 + indian 0.88 0.86 0.87 234 + japanese 0.79 0.74 0.76 254 + korean 0.85 0.81 0.83 242 + thai 0.71 0.86 0.78 227 + + accuracy 0.79 1199 + macro avg 0.79 0.79 0.79 1199 + weighted avg 0.79 0.79 0.79 1199 + ``` + +## K-Neighbors 分类器 + +K-Neighbors 是机器学习方法中“邻居”家族的一部分，可用于监督学习和非监督学习。在这种方法中，创建了预定义数量的点，并围绕这些点收集数据，以便预测数据的通用标签。 + +### 练习 - 应用 K-Neighbors 分类器 + +之前的分类器表现不错，适合数据，但也许我们可以获得更好的准确性。尝试使用 K-Neighbors 分类器。 + +1. 在分类器数组中添加一行（在线性 SVC 项目后添加逗号）： + + ```python + 'KNN classifier': KNeighborsClassifier(C), + ``` + + 结果稍差一些： + + ```output + Accuracy (train) for KNN classifier: 73.8% + precision recall f1-score support + + chinese 0.64 0.67 0.66 242 + indian 0.86 0.78 0.82 234 + japanese 0.66 0.83 0.74 254 + korean 0.94 0.58 0.72 242 + thai 0.71 0.82 0.76 227 + + accuracy 0.74 1199 + macro avg 0.76 0.74 0.74 1199 + weighted avg 0.76 0.74 0.74 1199 + ``` + + ✅ 了解 [K-Neighbors](https://scikit-learn.org/stable/modules/neighbors.html#neighbors) + +## 支持向量分类器 + +支持向量分类器是[支持向量机](https://wikipedia.org/wiki/Support-vector_machine)机器学习方法家族的一部分，可用于分类和回归任务。SVM 将“训练样本映射到空间中的点”，以最大化两个类别之间的距离。后续数据被映射到该空间，以预测其类别。 + +### 练习 - 应用支持向量分类器 + +让我们尝试使用支持向量分类器获得更好的准确性。 + +1. 在 K-Neighbors 项目后添加逗号，然后添加以下行： + + ```python + 'SVC': SVC(), + ``` + + 结果非常好！ + + ```output + Accuracy (train) for SVC: 83.2% + precision recall f1-score support + + chinese 0.79 0.74 0.76 242 + indian 0.88 0.90 0.89 234 + japanese 0.87 0.81 0.84 254 + korean 0.91 0.82 0.86 242 + thai 0.74 0.90 0.81 227 + + accuracy 0.83 1199 + macro avg 0.84 0.83 0.83 1199 + weighted avg 0.84 0.83 0.83 1199 + ``` + + ✅ 了解 [支持向量](https://scikit-learn.org/stable/modules/svm.html#svm) + +## 集成分类器 + +让我们沿着路径走到最后，尽管之前的测试结果已经非常好。尝试一些“集成分类器”，特别是随机森林和 AdaBoost： + +```python + 'RFST': RandomForestClassifier(n_estimators=100), + 'ADA': AdaBoostClassifier(n_estimators=100) +``` + +结果非常好，尤其是随机森林： + +```output +Accuracy (train) for RFST: 84.5% + precision recall f1-score support + + chinese 0.80 0.77 0.78 242 + indian 0.89 0.92 0.90 234 + japanese 0.86 0.84 0.85 254 + korean 0.88 0.83 0.85 242 + thai 0.80 0.87 0.83 227 + + accuracy 0.84 1199 + macro avg 0.85 0.85 0.84 1199 +weighted avg 0.85 0.84 0.84 1199 + +Accuracy (train) for ADA: 72.4% + precision recall f1-score support + + chinese 0.64 0.49 0.56 242 + indian 0.91 0.83 0.87 234 + japanese 0.68 0.69 0.69 254 + korean 0.73 0.79 0.76 242 + thai 0.67 0.83 0.74 227 + + accuracy 0.72 1199 + macro avg 0.73 0.73 0.72 1199 +weighted avg 0.73 0.72 0.72 1199 +``` + +✅ 了解 [集成分类器](https://scikit-learn.org/stable/modules/ensemble.html) + +这种机器学习方法“结合多个基础估计器的预测”，以提高模型质量。在我们的示例中，我们使用了随机森林和 AdaBoost。 + +- [随机森林](https://scikit-learn.org/stable/modules/ensemble.html#forest)，一种平均方法，构建了一个随机性注入的“决策树森林”，以避免过拟合。n_estimators 参数设置为树的数量。 + +- [AdaBoost](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.AdaBoostClassifier.html) 将分类器拟合到数据集，然后将该分类器的副本拟合到同一数据集。它关注错误分类项的权重，并调整下一分类器的拟合以进行纠正。 + +--- + +## 🚀挑战 + +每种技术都有大量参数可以调整。研究每种技术的默认参数，并思考调整这些参数对模型质量的影响。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +这些课程中有很多术语，因此花点时间复习[这个术语表](https://docs.microsoft.com/dotnet/machine-learning/resources/glossary?WT.mc_id=academic-77952-leestott)，非常有用！ + +## 作业 + +[参数调整](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/assignment.md b/translations/zh-CN/4-Classification/3-Classifiers-2/assignment.md new file mode 100644 index 000000000..1b6bd7806 --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/assignment.md @@ -0,0 +1,16 @@ +# 参数探索 + +## 说明 + +在使用这些分类器时，有许多参数是默认设置的。可以使用 VS Code 中的智能感知功能深入了解这些参数。在本课中选择一种机器学习分类技术，并通过调整各种参数值重新训练模型。创建一个笔记本，详细解释为什么某些更改可以提高模型质量，而其他更改则会降低质量。请详细说明您的答案。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ---------------------------------------------------------------------------------------------------------------------- | ----------------------------------------------------- | ----------------------------- | +| | 提交的笔记本展示了一个完整构建的分类器，并通过文本框解释了参数调整及其变化 | 提交的笔记本部分完成或解释不充分 | 提交的笔记本存在问题或缺陷 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/notebook.ipynb b/translations/zh-CN/4-Classification/3-Classifiers-2/notebook.ipynb new file mode 100644 index 000000000..cb14fc7aa --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/notebook.ipynb @@ 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" + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "cuisines_feature_df = cuisines_df.drop(['Unnamed: 0', 'cuisine'], axis=1)\n", + "cuisines_feature_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。虽然我们尽力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "15a83277036572e0773229b5f21c1e12", + "translation_date": "2025-09-03T20:27:20+00:00", + "source_file": "4-Classification/3-Classifiers-2/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/solution/Julia/README.md b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/Julia/README.md new file mode 100644 index 000000000..f30fc4eeb --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/solution/R/lesson_12-R.ipynb b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/R/lesson_12-R.ipynb new file mode 100644 index 000000000..97a1c66b1 --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/R/lesson_12-R.ipynb @@ -0,0 +1,650 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "lesson_12-R.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "ir", + "display_name": "R" + }, + "language_info": { + "name": "R" + }, + "coopTranslator": { + "original_hash": "fab50046ca413a38939d579f8432274f", + "translation_date": "2025-09-03T20:31:31+00:00", + "source_file": "4-Classification/3-Classifiers-2/solution/R/lesson_12-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "jsFutf_ygqSx" + }, + "source": [ + "# 构建分类模型：美味的亚洲和印度美食\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HD54bEefgtNO" + }, + "source": [ + "## 美食分类器 2\n", + "\n", + "在第二节分类课程中，我们将探索`更多方法`来分类类别数据。同时，我们还会学习选择不同分类器所带来的影响。\n", + "\n", + "### [**课前测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/23/)\n", + "\n", + "### **前置知识**\n", + "\n", + "我们假设你已经完成了之前的课程，因为我们会继续使用之前学到的一些概念。\n", + "\n", + "在本课程中，我们需要以下软件包：\n", + "\n", + "- `tidyverse`： [tidyverse](https://www.tidyverse.org/) 是一个[由 R 包组成的集合](https://www.tidyverse.org/packages)，旨在让数据科学更快、更简单、更有趣！\n", + "\n", + "- `tidymodels`： [tidymodels](https://www.tidymodels.org/) 框架是一个[由 R 包组成的集合](https://www.tidymodels.org/packages)，用于建模和机器学习。\n", + "\n", + "- `themis`： [themis 包](https://themis.tidymodels.org/) 提供了额外的配方步骤，用于处理不平衡数据。\n", + "\n", + "你可以通过以下命令安装它们：\n", + "\n", + "`install.packages(c(\"tidyverse\", \"tidymodels\", \"kernlab\", \"themis\", \"ranger\", \"xgboost\", \"kknn\"))`\n", + "\n", + "或者，下面的脚本会检查你是否已经安装了完成本模块所需的软件包，并在缺少时为你安装它们。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "vZ57IuUxgyQt" + }, + "source": [ + "suppressWarnings(if (!require(\"pacman\"))install.packages(\"pacman\"))\n", + "\n", + "pacman::p_load(tidyverse, tidymodels, themis, kernlab, ranger, xgboost, kknn)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "z22M-pj4g07x" + }, + "source": [ + "## **1. 分类图**\n", + "\n", + "在我们[上一节课](https://github.com/microsoft/ML-For-Beginners/tree/main/4-Classification/2-Classifiers-1)中，我们尝试解决一个问题：如何在多个模型之间进行选择？在很大程度上，这取决于数据的特性以及我们想要解决的问题类型（例如分类或回归）。\n", + "\n", + "之前，我们学习了使用微软的速查表对数据进行分类的各种选项。Python的机器学习框架Scikit-learn提供了一个类似但更细化的速查表，可以进一步帮助缩小你的估算器（分类器的另一种说法）的选择范围：\n", + "\n", + "

\n", + " \n", + "

\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u1i3xRIVg7vG" + }, + "source": [ + "> 提示：[在线查看这张地图](https://scikit-learn.org/stable/tutorial/machine_learning_map/)，并沿着路径点击以阅读相关文档。\n", + ">\n", + "> [Tidymodels参考网站](https://www.tidymodels.org/find/parsnip/#models)也提供了关于不同模型类型的优秀文档。\n", + "\n", + "### **计划** 🗺️\n", + "\n", + "这张地图在你清楚了解数据后非常有用，因为你可以沿着路径“走”到一个决策：\n", + "\n", + "- 我们有超过50个样本\n", + "\n", + "- 我们想预测一个类别\n", + "\n", + "- 我们有标注数据\n", + "\n", + "- 我们的样本少于10万\n", + "\n", + "- ✨ 我们可以选择线性SVC\n", + "\n", + "- 如果这不起作用，因为我们有数值数据\n", + "\n", + " - 我们可以尝试 ✨ KNeighbors分类器\n", + "\n", + " - 如果这不起作用，尝试 ✨ SVC 和 ✨ 集成分类器\n", + "\n", + "这是一条非常有用的路径。现在，让我们使用 [tidymodels](https://www.tidymodels.org/) 建模框架直接开始吧：一个一致且灵活的R包集合，旨在鼓励良好的统计实践 😊。\n", + "\n", + "## 2. 划分数据并处理不平衡数据集\n", + "\n", + "从之前的课程中，我们了解到不同菜系之间有一组常见的成分。此外，菜系的数量分布也非常不均衡。\n", + "\n", + "我们将通过以下方式处理这些问题：\n", + "\n", + "- 使用 `dplyr::select()` 删除那些在不同菜系之间造成混淆的最常见成分。\n", + "\n", + "- 使用一个 `recipe` 来预处理数据，使其通过应用 `过采样` 算法为建模做好准备。\n", + "\n", + "我们在之前的课程中已经看过这些内容，所以这应该会很轻松 🥳！\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "6tj_rN00hClA" + }, + "source": [ + "# Load the core Tidyverse and Tidymodels packages\n", + "library(tidyverse)\n", + "library(tidymodels)\n", + "\n", + "# Load the original cuisines data\n", + "df <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/4-Classification/data/cuisines.csv\")\n", + "\n", + "# Drop id column, rice, garlic and ginger from our original data set\n", + "df_select <- df %>% \n", + " select(-c(1, rice, garlic, ginger)) %>%\n", + " # Encode cuisine column as categorical\n", + " mutate(cuisine = factor(cuisine))\n", + "\n", + "\n", + "# Create data split specification\n", + "set.seed(2056)\n", + "cuisines_split <- initial_split(data = df_select,\n", + " strata = cuisine,\n", + " prop = 0.7)\n", + "\n", + "# Extract the data in each split\n", + "cuisines_train <- training(cuisines_split)\n", + "cuisines_test <- testing(cuisines_split)\n", + "\n", + "# Display distribution of cuisines in the training set\n", + "cuisines_train %>% \n", + " count(cuisine) %>% \n", + " arrange(desc(n))" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zFin5yw3hHb1" + }, + "source": [ + "### 处理数据不平衡问题\n", + "\n", + "数据不平衡通常会对模型性能产生负面影响。许多模型在观察数量相等时表现最佳，因此在处理不平衡数据时往往会遇到困难。\n", + "\n", + "处理数据不平衡问题主要有两种方法：\n", + "\n", + "- 为少数类别添加观察值：`过采样`，例如使用 SMOTE 算法，该算法通过少数类别的近邻合成生成新的样本。\n", + "\n", + "- 从多数类别中移除观察值：`欠采样`\n", + "\n", + "在之前的课程中，我们演示了如何使用 `recipe` 来处理数据不平衡问题。`recipe` 可以被看作是一个蓝图，描述了应该对数据集应用哪些步骤以使其准备好进行数据分析。在我们的案例中，我们希望在 `训练集` 中实现菜系数量的均匀分布。让我们直接开始吧。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "cRzTnHolhLWd" + }, + "source": [ + "# Load themis package for dealing with imbalanced data\n", + "library(themis)\n", + "\n", + "# Create a recipe for preprocessing training data\n", + "cuisines_recipe <- recipe(cuisine ~ ., data = cuisines_train) %>%\n", + " step_smote(cuisine) \n", + "\n", + "# Print recipe\n", + "cuisines_recipe" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "KxOQ2ORhhO81" + }, + "source": [ + "现在我们准备开始训练模型了 👩‍💻👨‍💻！\n", + "\n", + "## 3. 超越多项式回归模型\n", + "\n", + "在之前的课程中，我们学习了多项式回归模型。现在让我们探索一些更灵活的分类模型。\n", + "\n", + "### 支持向量机\n", + "\n", + "在分类的背景下，`支持向量机`是一种机器学习技术，它试图找到一个*超平面*来“最佳”地分隔不同的类别。让我们来看一个简单的例子：\n", + "\n", + "

\n", + " \n", + "

https://commons.wikimedia.org/w/index.php?curid=22877598
\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C4Wsd0vZhXYu" + }, + "source": [ + "H1~ 不会分隔类。H2~ 会分隔类，但仅有小的间距。H3~ 会以最大间距分隔类。\n", + "\n", + "#### 线性支持向量分类器\n", + "\n", + "支持向量聚类（SVC）是支持向量机（SVM）机器学习技术家族中的一种方法。在 SVC 中，超平面被选择为正确分隔`大多数`训练样本，但`可能会错误分类`一些样本。通过允许某些点位于错误的一侧，SVM 对异常值的鲁棒性更强，因此对新数据的泛化能力更好。调节这种违反规则的参数称为`cost`，其默认值为 1（参见 `help(\"svm_poly\")`）。\n", + "\n", + "让我们通过在多项式 SVM 模型中设置 `degree = 1` 来创建一个线性 SVC。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "vJpp6nuChlBz" + }, + "source": [ + "# Make a linear SVC specification\n", + "svc_linear_spec <- svm_poly(degree = 1) %>% \n", + " set_engine(\"kernlab\") %>% \n", + " set_mode(\"classification\")\n", + "\n", + "# Bundle specification and recipe into a worklow\n", + "svc_linear_wf <- workflow() %>% \n", + " add_recipe(cuisines_recipe) %>% \n", + " add_model(svc_linear_spec)\n", + "\n", + "# Print out workflow\n", + "svc_linear_wf" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rDs8cWNkhoqu" + }, + "source": [ + "现在我们已经将预处理步骤和模型规范整合到一个*工作流*中，可以继续训练线性SVC并在此过程中评估结果。对于性能指标，我们可以创建一个指标集来评估：`准确率`、`敏感性`、`正预测值`和`F值`。\n", + "\n", + "> `augment()` 会向给定数据添加预测结果的列。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "81wiqcwuhrnq" + }, + "source": [ + "# Train a linear SVC model\n", + "svc_linear_fit <- svc_linear_wf %>% \n", + " fit(data = cuisines_train)\n", + "\n", + "# Create a metric set\n", + "eval_metrics <- metric_set(ppv, sens, accuracy, f_meas)\n", + "\n", + "\n", + "# Make predictions and Evaluate model performance\n", + "svc_linear_fit %>% \n", + " augment(new_data = cuisines_test) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0UFQvHf-huo3" + }, + "source": [ + "#### 支持向量机\n", + "\n", + "支持向量机（SVM）是支持向量分类器的扩展，用于处理类别之间的非线性边界。本质上，SVM通过使用*核技巧*来扩大特征空间，以适应类别之间的非线性关系。SVM使用的一种流行且极其灵活的核函数是*径向基函数*。让我们看看它在我们的数据上表现如何。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-KX4S8mzhzmp" + }, + "source": [ + "set.seed(2056)\n", + "\n", + "# Make an RBF SVM specification\n", + "svm_rbf_spec <- svm_rbf() %>% \n", + " set_engine(\"kernlab\") %>% \n", + " set_mode(\"classification\")\n", + "\n", + "# Bundle specification and recipe into a worklow\n", + "svm_rbf_wf <- workflow() %>% \n", + " add_recipe(cuisines_recipe) %>% \n", + " add_model(svm_rbf_spec)\n", + "\n", + "\n", + "# Train an RBF model\n", + "svm_rbf_fit <- svm_rbf_wf %>% \n", + " fit(data = cuisines_train)\n", + "\n", + "\n", + "# Make predictions and Evaluate model performance\n", + "svm_rbf_fit %>% \n", + " augment(new_data = cuisines_test) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QBFSa7WSh4HQ" + }, + "source": [ + "太棒了 🤩！\n", + "\n", + "> ✅ 请参阅：\n", + ">\n", + "> - [*支持向量机*](https://bradleyboehmke.github.io/HOML/svm.html)，《Hands-on Machine Learning with R》\n", + ">\n", + "> - [*支持向量机*](https://www.statlearning.com/)，《An Introduction to Statistical Learning with Applications in R》\n", + ">\n", + "> 了解更多内容。\n", + "\n", + "### 最近邻分类器\n", + "\n", + "*K*-最近邻（KNN）是一种算法，根据每个观测值与其他观测值的*相似性*来进行预测。\n", + "\n", + "让我们将其应用到我们的数据中。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "k4BxxBcdh9Ka" + }, + "source": [ + "# Make a KNN specification\n", + "knn_spec <- nearest_neighbor() %>% \n", + " set_engine(\"kknn\") %>% \n", + " set_mode(\"classification\")\n", + "\n", + "# Bundle recipe and model specification into a workflow\n", + "knn_wf <- workflow() %>% \n", + " add_recipe(cuisines_recipe) %>% \n", + " add_model(knn_spec)\n", + "\n", + "# Train a boosted tree model\n", + "knn_wf_fit <- knn_wf %>% \n", + " fit(data = cuisines_train)\n", + "\n", + "\n", + "# Make predictions and Evaluate model performance\n", + "knn_wf_fit %>% \n", + " augment(new_data = cuisines_test) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HaegQseriAcj" + }, + "source": [ + "看起来这个模型的表现不是很好。可能通过更改模型的参数（请参阅 `help(\"nearest_neighbor\")`）可以提升模型的性能。一定要尝试一下。\n", + "\n", + "> ✅ 请参考：\n", + ">\n", + "> - [Hands-on Machine Learning with R](https://bradleyboehmke.github.io/HOML/)\n", + ">\n", + "> - [An Introduction to Statistical Learning with Applications in R](https://www.statlearning.com/)\n", + ">\n", + "> 了解更多关于 *K*-最近邻分类器的信息。\n", + "\n", + "### 集成分类器\n", + "\n", + "集成算法通过结合多个基础估计器来构建一个优化模型，其方法包括：\n", + "\n", + "`bagging`：对一组基础模型应用*平均函数*\n", + "\n", + "`boosting`：构建一系列模型，彼此之间相互依赖，以提升预测性能。\n", + "\n", + "我们先尝试一个随机森林模型，它通过构建大量决策树并应用平均函数来生成一个更优的整体模型。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "49DPoVs6iK1M" + }, + "source": [ + "# Make a random forest specification\n", + "rf_spec <- rand_forest() %>% \n", + " set_engine(\"ranger\") %>% \n", + " set_mode(\"classification\")\n", + "\n", + "# Bundle recipe and model specification into a workflow\n", + "rf_wf <- workflow() %>% \n", + " add_recipe(cuisines_recipe) %>% \n", + " add_model(rf_spec)\n", + "\n", + "# Train a random forest model\n", + "rf_wf_fit <- rf_wf %>% \n", + " fit(data = cuisines_train)\n", + "\n", + "\n", + "# Make predictions and Evaluate model performance\n", + "rf_wf_fit %>% \n", + " augment(new_data = cuisines_test) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RGVYwC_aiUWc" + }, + "source": [ + "干得好 👏！\n", + "\n", + "我们也来尝试一下提升树模型。\n", + "\n", + "提升树是一种集成方法，它通过创建一系列连续的决策树，每棵树都依赖于前一棵树的结果，试图逐步减少误差。它重点关注被错误分类的项目的权重，并调整下一分类器的拟合以进行纠正。\n", + "\n", + "有多种方法可以拟合此模型（参见 `help(\"boost_tree\")`）。在这个例子中，我们将通过 `xgboost` 引擎来拟合提升树。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Py1YWo-micWs" + }, + "source": [ + "# Make a boosted tree specification\n", + "boost_spec <- boost_tree(trees = 200) %>% \n", + " set_engine(\"xgboost\") %>% \n", + " set_mode(\"classification\")\n", + "\n", + "# Bundle recipe and model specification into a workflow\n", + "boost_wf <- workflow() %>% \n", + " add_recipe(cuisines_recipe) %>% \n", + " add_model(boost_spec)\n", + "\n", + "# Train a boosted tree model\n", + "boost_wf_fit <- boost_wf %>% \n", + " fit(data = cuisines_train)\n", + "\n", + "\n", + "# Make predictions and Evaluate model performance\n", + "boost_wf_fit %>% \n", + " augment(new_data = cuisines_test) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zNQnbuejigZM" + }, + "source": [ + "> ✅ 请参阅：\n", + ">\n", + "> - [社会科学中的机器学习](https://cimentadaj.github.io/ml_socsci/tree-based-methods.html#random-forests)\n", + ">\n", + "> - [R语言实践中的机器学习](https://bradleyboehmke.github.io/HOML/)\n", + ">\n", + "> - [统计学习导论：R语言应用](https://www.statlearning.com/)\n", + ">\n", + "> - - 探讨了AdaBoost模型，这是xgboost的一个不错替代方案。\n", + ">\n", + "> 了解更多关于集成分类器的信息。\n", + "\n", + "## 4. 额外内容 - 比较多个模型\n", + "\n", + "在本次实验中，我们已经拟合了相当多的模型 🙌。如果需要从不同的预处理器和/或模型规格中创建大量工作流，然后逐一计算性能指标，这可能会变得繁琐或费力。\n", + "\n", + "让我们看看是否可以通过创建一个函数来解决这个问题，该函数可以在训练集上拟合一组工作流，并根据测试集返回性能指标。我们将使用 [purrr](https://purrr.tidyverse.org/) 包中的 `map()` 和 `map_dfr()` 来对列表中的每个元素应用函数。\n", + "\n", + "> [`map()`](https://purrr.tidyverse.org/reference/map.html) 函数允许您用更简洁且更易读的代码替代许多for循环。学习 [`map()`](https://purrr.tidyverse.org/reference/map.html) 函数的最佳地方是《R语言数据科学》中的[迭代章节](http://r4ds.had.co.nz/iteration.html)。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Qzb7LyZnimd2" + }, + "source": [ + "set.seed(2056)\n", + "\n", + "# Create a metric set\n", + "eval_metrics <- metric_set(ppv, sens, accuracy, f_meas)\n", + "\n", + "# Define a function that returns performance metrics\n", + "compare_models <- function(workflow_list, train_set, test_set){\n", + " \n", + " suppressWarnings(\n", + " # Fit each model to the train_set\n", + " map(workflow_list, fit, data = train_set) %>% \n", + " # Make predictions on the test set\n", + " map_dfr(augment, new_data = test_set, .id = \"model\") %>%\n", + " # Select desired columns\n", + " select(model, cuisine, .pred_class) %>% \n", + " # Evaluate model performance\n", + " group_by(model) %>% \n", + " eval_metrics(truth = cuisine, estimate = .pred_class) %>% \n", + " ungroup()\n", + " )\n", + " \n", + "} # End of function" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Fwa712sNisDA" + }, + "source": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "3i4VJOi2iu-a" + }, + "source": [ + "# Make a list of workflows\n", + "workflow_list <- list(\n", + " \"svc\" = svc_linear_wf,\n", + " \"svm\" = svm_rbf_wf,\n", + " \"knn\" = knn_wf,\n", + " \"random_forest\" = rf_wf,\n", + " \"xgboost\" = boost_wf)\n", + "\n", + "# Call the function\n", + "set.seed(2056)\n", + "perf_metrics <- compare_models(workflow_list = workflow_list, train_set = cuisines_train, test_set = cuisines_test)\n", + "\n", + "# Print out performance metrics\n", + "perf_metrics %>% \n", + " group_by(.metric) %>% \n", + " arrange(desc(.estimate)) %>% \n", + " slice_head(n=7)\n", + "\n", + "# Compare accuracy\n", + "perf_metrics %>% \n", + " filter(.metric == \"accuracy\") %>% \n", + " arrange(desc(.estimate))\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "KuWK_lEli4nW" + }, + "source": [ + "[**workflowset**](https://workflowsets.tidymodels.org/) 包允许用户创建并轻松拟合大量模型，但主要设计用于与诸如 `交叉验证` 之类的重采样技术配合使用，这是一种我们尚未涉及的方法。\n", + "\n", + "## **🚀挑战**\n", + "\n", + "每种技术都有许多参数可以调整，例如 SVM 中的 `cost`，KNN 中的 `neighbors`，随机森林中的 `mtry`（随机选择的预测变量）。\n", + "\n", + "研究每种模型的默认参数，并思考调整这些参数对模型质量的影响。\n", + "\n", + "要了解特定模型及其参数的更多信息，请使用：`help(\"model\")`，例如 `help(\"rand_forest\")`\n", + "\n", + "> 实际中，我们通常通过在一个 `模拟数据集` 上训练多个模型并测量这些模型的表现来*估计*这些参数的*最佳值*。这个过程称为 **调参**。\n", + "\n", + "### [**课后测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/24/)\n", + "\n", + "### **复习与自学**\n", + "\n", + "这些课程中有很多术语，因此花点时间查看[这个列表](https://docs.microsoft.com/dotnet/machine-learning/resources/glossary?WT.mc_id=academic-77952-leestott)中的有用术语！\n", + "\n", + "#### 特别感谢：\n", + "\n", + "[`Allison Horst`](https://twitter.com/allison_horst/) 创作了令人惊叹的插图，使 R 更加友好和吸引人。可以在她的[画廊](https://www.google.com/url?q=https://github.com/allisonhorst/stats-illustrations&sa=D&source=editors&ust=1626380772530000&usg=AOvVaw3zcfyCizFQZpkSLzxiiQEM)中找到更多插图。\n", + "\n", + "[Cassie Breviu](https://www.twitter.com/cassieview) 和 [Jen Looper](https://www.twitter.com/jenlooper) 创作了本模块的原始 Python 版本 ♥️\n", + "\n", + "祝学习愉快，\n", + "\n", + "[Eric](https://twitter.com/ericntay)，微软金牌学习学生大使。\n", + "\n", + "

\n", + " \n", + "

插图作者 @allison_horst
\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/3-Classifiers-2/solution/notebook.ipynb b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/notebook.ipynb new file mode 100644 index 000000000..59bf6f5f0 --- /dev/null +++ b/translations/zh-CN/4-Classification/3-Classifiers-2/solution/notebook.ipynb @@ -0,0 +1,304 @@ +{ + "cells": [ + { + "source": [ + "# 构建更多分类模型\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Unnamed: 0 cuisine almond angelica anise anise_seed apple \\\n", + "0 0 indian 0 0 0 0 0 \n", + "1 1 indian 1 0 0 0 0 \n", + "2 2 indian 0 0 0 0 0 \n", + "3 3 indian 0 0 0 0 0 \n", + "4 4 indian 0 0 0 0 0 \n", + "\n", + " apple_brandy apricot armagnac ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 382 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 1 + } + ], + "source": [ + "import pandas as pd\n", + "cuisines_df = pd.read_csv(\"../../data/cleaned_cuisines.csv\")\n", + "cuisines_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 indian\n", + "1 indian\n", + "2 indian\n", + "3 indian\n", + "4 indian\n", + "Name: cuisine, dtype: object" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ], + "source": [ + "cuisines_label_df = cuisines_df['cuisine']\n", + "cuisines_label_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " almond angelica anise anise_seed apple apple_brandy apricot \\\n", + "0 0 0 0 0 0 0 0 \n", + "1 1 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 0 0 \n", + "\n", + " armagnac artemisia artichoke ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 380 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "cuisines_feature_df = cuisines_df.drop(['Unnamed: 0', 'cuisine'], axis=1)\n", + "cuisines_feature_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 尝试不同的分类器\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.svm import SVC\n", + "from sklearn.ensemble import RandomForestClassifier, AdaBoostClassifier\n", + "from sklearn.model_selection import train_test_split, cross_val_score\n", + "from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report, precision_recall_curve\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = train_test_split(cuisines_feature_df, cuisines_label_df, test_size=0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "C = 10\n", + "# Create different classifiers.\n", + "classifiers = {\n", + " 'Linear SVC': SVC(kernel='linear', C=C, probability=True,random_state=0),\n", + " 'KNN classifier': KNeighborsClassifier(C),\n", + " 'SVC': SVC(),\n", + " 'RFST': RandomForestClassifier(n_estimators=100),\n", + " 'ADA': AdaBoostClassifier(n_estimators=100)\n", + " \n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Accuracy (train) for Linear SVC: 76.4% \n", + " precision recall f1-score support\n", + "\n", + " chinese 0.64 0.66 0.65 242\n", + " indian 0.91 0.86 0.89 236\n", + " japanese 0.72 0.73 0.73 245\n", + " korean 0.83 0.75 0.79 234\n", + " thai 0.75 0.82 0.78 242\n", + "\n", + " accuracy 0.76 1199\n", + " macro avg 0.77 0.76 0.77 1199\n", + "weighted avg 0.77 0.76 0.77 1199\n", + "\n", + "Accuracy (train) for KNN classifier: 70.7% \n", + " precision recall f1-score support\n", + "\n", + " chinese 0.65 0.63 0.64 242\n", + " indian 0.84 0.81 0.82 236\n", + " japanese 0.60 0.81 0.69 245\n", + " korean 0.89 0.53 0.67 234\n", + " thai 0.69 0.75 0.72 242\n", + "\n", + " accuracy 0.71 1199\n", + " macro avg 0.73 0.71 0.71 1199\n", + "weighted avg 0.73 0.71 0.71 1199\n", + "\n", + "Accuracy (train) for SVC: 80.1% \n", + " precision recall f1-score support\n", + "\n", + " chinese 0.71 0.69 0.70 242\n", + " indian 0.92 0.92 0.92 236\n", + " japanese 0.77 0.78 0.77 245\n", + " korean 0.87 0.77 0.82 234\n", + " thai 0.75 0.86 0.80 242\n", + "\n", + " accuracy 0.80 1199\n", + " macro avg 0.80 0.80 0.80 1199\n", + "weighted avg 0.80 0.80 0.80 1199\n", + "\n", + "Accuracy (train) for RFST: 82.8% \n", + " precision recall f1-score support\n", + "\n", + " chinese 0.80 0.75 0.77 242\n", + " indian 0.90 0.91 0.90 236\n", + " japanese 0.82 0.78 0.80 245\n", + " korean 0.85 0.82 0.83 234\n", + " thai 0.78 0.89 0.83 242\n", + "\n", + " accuracy 0.83 1199\n", + " macro avg 0.83 0.83 0.83 1199\n", + "weighted avg 0.83 0.83 0.83 1199\n", + "\n", + "Accuracy (train) for ADA: 71.1% \n", + " precision recall f1-score support\n", + "\n", + " chinese 0.60 0.57 0.58 242\n", + " indian 0.87 0.84 0.86 236\n", + " japanese 0.71 0.60 0.65 245\n", + " korean 0.68 0.78 0.72 234\n", + " thai 0.70 0.78 0.74 242\n", + "\n", + " accuracy 0.71 1199\n", + " macro avg 0.71 0.71 0.71 1199\n", + "weighted avg 0.71 0.71 0.71 1199\n", + "\n" + ] + } + ], + "source": [ + "n_classifiers = len(classifiers)\n", + "\n", + "for index, (name, classifier) in enumerate(classifiers.items()):\n", + " classifier.fit(X_train, np.ravel(y_train))\n", + "\n", + " y_pred = classifier.predict(X_test)\n", + " accuracy = accuracy_score(y_test, y_pred)\n", + " print(\"Accuracy (train) for %s: %0.1f%% \" % (name, accuracy * 100))\n", + " print(classification_report(y_test,y_pred))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "7ea2b714669c823a596d986ba2d5739f", + "translation_date": "2025-09-03T20:27:44+00:00", + "source_file": "4-Classification/3-Classifiers-2/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/4-Applied/README.md b/translations/zh-CN/4-Classification/4-Applied/README.md new file mode 100644 index 000000000..16e114d3b --- /dev/null +++ b/translations/zh-CN/4-Classification/4-Applied/README.md @@ -0,0 +1,320 @@ +# 构建一个美食推荐网页应用 + +在本课中，您将使用之前课程中学到的一些技术以及贯穿整个系列的美食数据集，构建一个分类模型。此外，您还将构建一个小型网页应用来使用保存的模型，并利用 Onnx 的网页运行时。 + +机器学习最实用的用途之一是构建推荐系统，今天您可以迈出这一方向的第一步！ + +[![展示此网页应用](https://img.youtube.com/vi/17wdM9AHMfg/0.jpg)](https://youtu.be/17wdM9AHMfg "应用机器学习") + +> 🎥 点击上方图片观看视频：Jen Looper 使用分类美食数据构建网页应用 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +在本课中，您将学习： + +- 如何构建模型并将其保存为 Onnx 模型 +- 如何使用 Netron 检查模型 +- 如何在网页应用中使用您的模型进行推理 + +## 构建您的模型 + +构建应用型机器学习系统是将这些技术应用于业务系统的重要部分。通过使用 Onnx，您可以在网页应用中使用模型（因此在需要时也可以离线使用）。 + +在[之前的课程](../../3-Web-App/1-Web-App/README.md)中，您构建了一个关于 UFO 目击事件的回归模型，将其“pickle”保存，并在 Flask 应用中使用。虽然这种架构非常有用，但它是一个全栈 Python 应用，而您的需求可能包括使用 JavaScript 应用。 + +在本课中，您可以构建一个基于 JavaScript 的基础推理系统。不过，首先需要训练一个模型并将其转换为 Onnx 格式。 + +## 练习 - 训练分类模型 + +首先，使用我们之前清理过的美食数据集训练一个分类模型。 + +1. 首先导入有用的库： + + ```python + !pip install skl2onnx + import pandas as pd + ``` + + 您需要 '[skl2onnx](https://onnx.ai/sklearn-onnx/)' 来帮助将 Scikit-learn 模型转换为 Onnx 格式。 + +1. 然后，像之前课程中一样使用 `read_csv()` 读取 CSV 文件来处理数据： + + ```python + data = pd.read_csv('../data/cleaned_cuisines.csv') + data.head() + ``` + +1. 删除前两列不必要的数据，并将剩余数据保存为 'X'： + + ```python + X = data.iloc[:,2:] + X.head() + ``` + +1. 将标签保存为 'y'： + + ```python + y = data[['cuisine']] + y.head() + + ``` + +### 开始训练流程 + +我们将使用具有良好准确性的 'SVC' 库。 + +1. 从 Scikit-learn 导入相关库： + + ```python + from sklearn.model_selection import train_test_split + from sklearn.svm import SVC + from sklearn.model_selection import cross_val_score + from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report + ``` + +1. 分离训练集和测试集： + + ```python + X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.3) + ``` + +1. 像之前课程中一样构建一个 SVC 分类模型： + + ```python + model = SVC(kernel='linear', C=10, probability=True,random_state=0) + model.fit(X_train,y_train.values.ravel()) + ``` + +1. 现在，测试您的模型，调用 `predict()`： + + ```python + y_pred = model.predict(X_test) + ``` + +1. 打印分类报告以检查模型质量： + + ```python + print(classification_report(y_test,y_pred)) + ``` + + 如我们之前所见，准确性很好： + + ```output + precision recall f1-score support + + chinese 0.72 0.69 0.70 257 + indian 0.91 0.87 0.89 243 + japanese 0.79 0.77 0.78 239 + korean 0.83 0.79 0.81 236 + thai 0.72 0.84 0.78 224 + + accuracy 0.79 1199 + macro avg 0.79 0.79 0.79 1199 + weighted avg 0.79 0.79 0.79 1199 + ``` + +### 将模型转换为 Onnx + +确保使用正确的张量数量进行转换。此数据集列出了 380 种食材，因此您需要在 `FloatTensorType` 中注明该数量： + +1. 使用张量数量 380 进行转换。 + + ```python + from skl2onnx import convert_sklearn + from skl2onnx.common.data_types import FloatTensorType + + initial_type = [('float_input', FloatTensorType([None, 380]))] + options = {id(model): {'nocl': True, 'zipmap': False}} + ``` + +1. 创建 onx 并保存为文件 **model.onnx**： + + ```python + onx = convert_sklearn(model, initial_types=initial_type, options=options) + with open("./model.onnx", "wb") as f: + f.write(onx.SerializeToString()) + ``` + + > 注意，您可以在转换脚本中传递[选项](https://onnx.ai/sklearn-onnx/parameterized.html)。在本例中，我们将 'nocl' 设置为 True，将 'zipmap' 设置为 False。由于这是一个分类模型，您可以选择移除 ZipMap，它会生成一个字典列表（不必要）。`nocl` 指的是模型中是否包含类别信息。通过将 `nocl` 设置为 'True' 来减小模型的大小。 + +运行整个笔记本后，您将构建一个 Onnx 模型并将其保存到此文件夹中。 + +## 查看您的模型 + +Onnx 模型在 Visual Studio Code 中不太直观，但有一个非常好的免费软件，许多研究人员使用它来可视化模型，以确保模型构建正确。下载 [Netron](https://github.com/lutzroeder/Netron) 并打开您的 model.onnx 文件。您可以看到您的简单模型被可视化，包含 380 个输入和分类器： + +![Netron 可视化](../../../../4-Classification/4-Applied/images/netron.png) + +Netron 是一个查看模型的有用工具。 + +现在您可以在网页应用中使用这个简洁的模型了。让我们构建一个应用，当您查看冰箱并试图决定如何利用剩余食材制作某种美食时，它会派上用场。 + +## 构建推荐网页应用 + +您可以直接在网页应用中使用您的模型。这种架构还允许您在本地运行，甚至在需要时离线运行。首先，在存储 `model.onnx` 文件的同一文件夹中创建一个 `index.html` 文件。 + +1. 在此文件 _index.html_ 中，添加以下标记： + + ```html + + +
+ Cuisine Matcher +
+ + ... + + + ``` + +1. 现在，在 `body` 标签内添加一些标记以显示一些食材的复选框列表： + + ```html +

Check your refrigerator. What can you create?

+
+
+ + +
+ +
+ + +
+ +
+ + +
+ +
+ + +
+ +
+ + +
+ +
+ + +
+ +
+ + +
+
+
+ +
+ ``` + + 注意，每个复选框都被赋予了一个值。这反映了食材在数据集中的索引位置。例如，苹果在这个按字母顺序排列的列表中占据第五列，因此其值为 '4'（因为我们从 0 开始计数）。您可以查阅 [ingredients spreadsheet](../../../../4-Classification/data/ingredient_indexes.csv) 来找到某个食材的索引。 + + 继续在 index.html 文件中工作，在最后一个关闭的 `` 后添加一个脚本块，其中调用了模型。 + +1. 首先，导入 [Onnx Runtime](https://www.onnxruntime.ai/)： + + ```html + + ``` + + > Onnx Runtime 用于支持在广泛的硬件平台上运行您的 Onnx 模型，包括优化和使用的 API。 + +1. 一旦 Runtime 就位，您可以调用它： + + ```html + + ``` + +在此代码中，发生了以下几件事： + +1. 您创建了一个包含 380 个可能值（1 或 0）的数组，用于根据食材复选框是否被选中来设置并发送到模型进行推理。 +2. 您创建了一个复选框数组以及一个在应用启动时确定它们是否被选中的 `init` 函数。当复选框被选中时，`ingredients` 数组会被修改以反映所选食材。 +3. 您创建了一个 `testCheckboxes` 函数，用于检查是否有复选框被选中。 +4. 您使用 `startInference` 函数，当按钮被按下时，如果有复选框被选中，您就开始推理。 +5. 推理流程包括： + 1. 设置模型的异步加载 + 2. 创建一个发送到模型的张量结构 + 3. 创建反映您在训练模型时创建的 `float_input` 输入的 'feeds'（您可以使用 Netron 验证该名称） + 4. 将这些 'feeds' 发送到模型并等待响应 + +## 测试您的应用 + +在存放 index.html 文件的文件夹中打开 Visual Studio Code 的终端会话。确保您已全局安装 [http-server](https://www.npmjs.com/package/http-server)，然后在提示符下输入 `http-server`。一个本地主机将打开，您可以查看您的网页应用。根据各种食材检查推荐的美食： + +![食材网页应用](../../../../4-Classification/4-Applied/images/web-app.png) + +恭喜，您已经创建了一个带有几个字段的“推荐”网页应用。花点时间完善这个系统吧！ + +## 🚀挑战 + +您的网页应用非常简约，因此请继续使用 [ingredient_indexes](../../../../4-Classification/data/ingredient_indexes.csv) 数据中的食材及其索引来完善它。哪些风味组合可以制作出某种国家菜肴？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +虽然本课只是简单介绍了创建食材推荐系统的实用性，但这一领域的机器学习应用有许多丰富的示例。阅读更多关于这些系统如何构建的内容： + +- https://www.sciencedirect.com/topics/computer-science/recommendation-engine +- https://www.technologyreview.com/2014/08/25/171547/the-ultimate-challenge-for-recommendation-engines/ +- https://www.technologyreview.com/2015/03/23/168831/everything-is-a-recommendation/ + +## 作业 + +[构建一个新的推荐系统](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/4-Applied/assignment.md b/translations/zh-CN/4-Classification/4-Applied/assignment.md new file mode 100644 index 000000000..4598f7bf1 --- /dev/null +++ b/translations/zh-CN/4-Classification/4-Applied/assignment.md @@ -0,0 +1,16 @@ +# 构建推荐系统 + +## 说明 + +通过本课的练习，你已经了解了如何使用 Onnx Runtime 和转换后的 Onnx 模型来构建基于 JavaScript 的网页应用程序。尝试使用本课中的数据或其他来源的数据（请注明来源）来构建一个新的推荐系统。你可以根据不同的性格特征创建一个宠物推荐系统，或者根据一个人的心情创建一个音乐类型推荐系统。发挥你的创造力吧！ + +## 评分标准 + +| 标准 | 杰出表现 | 合格表现 | 有待改进 | +| -------- | --------------------------------------------------------------------- | ------------------------------------- | --------------------------------- | +| | 提供了一个网页应用程序和笔记本，两者均有良好的文档记录且运行正常 | 两者之一缺失或存在缺陷 | 两者均缺失或存在缺陷 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/4-Applied/notebook.ipynb b/translations/zh-CN/4-Classification/4-Applied/notebook.ipynb new file mode 100644 index 000000000..8180ade04 --- /dev/null +++ b/translations/zh-CN/4-Classification/4-Applied/notebook.ipynb @@ -0,0 +1,41 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 4, + "coopTranslator": { + "original_hash": "2f3e0d9e9ac5c301558fb8bf733ac0cb", + "translation_date": "2025-09-03T20:26:38+00:00", + "source_file": "4-Classification/4-Applied/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 建立一个美食推荐系统\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/4-Applied/solution/notebook.ipynb b/translations/zh-CN/4-Classification/4-Applied/solution/notebook.ipynb new file mode 100644 index 000000000..d59351614 --- /dev/null +++ b/translations/zh-CN/4-Classification/4-Applied/solution/notebook.ipynb @@ -0,0 +1,292 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "49325d6dd12a3628fc64fa7ccb1a80ff", + "translation_date": "2025-09-03T20:26:59+00:00", + "source_file": "4-Classification/4-Applied/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 建立一个美食推荐系统\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: skl2onnx in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (1.8.0)\n", + "Requirement already satisfied: protobuf in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from skl2onnx) (3.8.0)\n", + 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+ ], + "source": [ + "!pip install skl2onnx" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd \n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Unnamed: 0 cuisine almond angelica anise anise_seed apple \\\n", + "0 0 indian 0 0 0 0 0 \n", + "1 1 indian 1 0 0 0 0 \n", + "2 2 indian 0 0 0 0 0 \n", + "3 3 indian 0 0 0 0 0 \n", + "4 4 indian 0 0 0 0 0 \n", + "\n", + " apple_brandy apricot armagnac ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 382 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" + }, + "metadata": {}, + "execution_count": 60 + } + ], + "source": [ + "data = pd.read_csv('../../data/cleaned_cuisines.csv')\n", + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " almond angelica anise anise_seed apple apple_brandy apricot \\\n", + "0 0 0 0 0 0 0 0 \n", + "1 1 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 0 0 \n", + "\n", + " armagnac artemisia artichoke ... whiskey white_bread white_wine \\\n", + "0 0 0 0 ... 0 0 0 \n", + "1 0 0 0 ... 0 0 0 \n", + "2 0 0 0 ... 0 0 0 \n", + "3 0 0 0 ... 0 0 0 \n", + "4 0 0 0 ... 0 0 0 \n", + "\n", + " whole_grain_wheat_flour wine wood yam yeast yogurt zucchini \n", + "0 0 0 0 0 0 0 0 \n", + "1 0 0 0 0 0 0 0 \n", + "2 0 0 0 0 0 0 0 \n", + "3 0 0 0 0 0 0 0 \n", + "4 0 0 0 0 0 1 0 \n", + "\n", + "[5 rows x 380 columns]" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 61 + } + ], + "source": [ + "X = data.iloc[:,2:]\n", + "X.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " cuisine\n", + "0 indian\n", + "1 indian\n", + "2 indian\n", + "3 indian\n", + "4 indian" + ], + "text/html": "
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cuisine
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" + }, + "metadata": {}, + "execution_count": 62 + } + ], + "source": [ + "y = data[['cuisine']]\n", + "y.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "from sklearn.svm import SVC\n", + "from sklearn.model_selection import cross_val_score\n", + "from sklearn.metrics import accuracy_score,precision_score,confusion_matrix,classification_report" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "SVC(C=10, kernel='linear', probability=True, random_state=0)" + ] + }, + "metadata": {}, + "execution_count": 65 + } + ], + "source": [ + "model = SVC(kernel='linear', C=10, probability=True,random_state=0)\n", + "model.fit(X_train,y_train.values.ravel())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "y_pred = model.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n\n chinese 0.72 0.70 0.71 236\n indian 0.91 0.88 0.89 243\n japanese 0.80 0.75 0.77 240\n korean 0.80 0.81 0.81 230\n thai 0.76 0.85 0.80 250\n\n accuracy 0.80 1199\n macro avg 0.80 0.80 0.80 1199\nweighted avg 0.80 0.80 0.80 1199\n\n" + ] + } + ], + "source": [ + "print(classification_report(y_test,y_pred))" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "from skl2onnx import convert_sklearn\n", + "from skl2onnx.common.data_types import FloatTensorType\n", + "\n", + "initial_type = [('float_input', FloatTensorType([None, 380]))]\n", + "options = {id(model): {'nocl': True, 'zipmap': False}}\n", + "onx = convert_sklearn(model, initial_types=initial_type, options=options)\n", + "with open(\"./model.onnx\", \"wb\") as f:\n", + " f.write(onx.SerializeToString())\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/4-Classification/README.md b/translations/zh-CN/4-Classification/README.md new file mode 100644 index 000000000..62bdfc90f --- /dev/null +++ b/translations/zh-CN/4-Classification/README.md @@ -0,0 +1,32 @@ +# 开始学习分类 + +## 地区主题：美味的亚洲和印度美食 🍜 + +在亚洲和印度，饮食文化极其多样化，而且非常美味！让我们来看看有关地区美食的数据，试着了解它们的食材。 + +![泰国小吃摊](../../../translated_images/zh-CN/thai-food.c47a7a7f9f05c218.webp) +> 图片由 Lisheng Chang 提供，发布在 Unsplash + +## 你将学到什么 + +在本节中，你将基于之前对回归的学习，进一步了解其他分类器，这些分类器可以帮助你更好地理解数据。 + +> 有一些非常实用的低代码工具可以帮助你学习如何使用分类模型。试试 [Azure ML 完成这个任务](https://docs.microsoft.com/learn/modules/create-classification-model-azure-machine-learning-designer/?WT.mc_id=academic-77952-leestott) + +## 课程 + +1. [分类简介](1-Introduction/README.md) +2. [更多分类器](2-Classifiers-1/README.md) +3. [其他分类器](3-Classifiers-2/README.md) +4. [应用机器学习：构建一个网络应用](4-Applied/README.md) + +## 致谢 + +"开始学习分类" 由 [Cassie Breviu](https://www.twitter.com/cassiebreviu) 和 [Jen Looper](https://www.twitter.com/jenlooper) 倾情创作。 + +美味的美食数据集来源于 [Kaggle](https://www.kaggle.com/hoandan/asian-and-indian-cuisines)。 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/README.md b/translations/zh-CN/5-Clustering/1-Visualize/README.md new file mode 100644 index 000000000..61ddc776b --- /dev/null +++ b/translations/zh-CN/5-Clustering/1-Visualize/README.md @@ -0,0 +1,338 @@ +# 聚类简介 + +聚类是一种[无监督学习](https://wikipedia.org/wiki/Unsupervised_learning)方法，假设数据集是未标记的，或者其输入未与预定义的输出匹配。它使用各种算法对未标记的数据进行分类，并根据数据中识别出的模式提供分组。 + +[![PSquare的《No One Like You》](https://img.youtube.com/vi/ty2advRiWJM/0.jpg)](https://youtu.be/ty2advRiWJM "PSquare的《No One Like You》") + +> 🎥 点击上方图片观看视频。在学习聚类机器学习时，欣赏一些尼日利亚舞厅音乐——这是PSquare在2014年发布的一首高评价歌曲。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +### 简介 + +[聚类](https://link.springer.com/referenceworkentry/10.1007%2F978-0-387-30164-8_124)在数据探索中非常有用。让我们看看它是否能帮助发现尼日利亚观众消费音乐的趋势和模式。 + +✅ 花一分钟思考聚类的用途。在现实生活中，聚类发生在你有一堆洗好的衣物并需要将家人衣物分类时 🧦👕👖🩲。在数据科学中，聚类发生在试图分析用户偏好或确定任何未标记数据集的特征时。某种程度上，聚类帮助我们从混乱中找到秩序，比如整理袜子抽屉。 + +[![机器学习简介](https://img.youtube.com/vi/esmzYhuFnds/0.jpg)](https://youtu.be/esmzYhuFnds "聚类简介") + +> 🎥 点击上方图片观看视频：麻省理工学院的John Guttag介绍聚类 + +在专业环境中，聚类可以用于确定市场细分，例如确定哪些年龄段购买哪些商品。另一个用途是异常检测，比如从信用卡交易数据集中检测欺诈行为。或者你可以用聚类来识别一批医学扫描中的肿瘤。 + +✅ 花一分钟思考你可能在银行、电子商务或商业环境中遇到过的聚类应用。 + +> 🎓 有趣的是，聚类分析起源于20世纪30年代的人类学和心理学领域。你能想象它可能是如何被使用的吗？ + +另外，你可以用它来对搜索结果进行分组——例如按购物链接、图片或评论分组。当你有一个大型数据集需要简化并进行更细致的分析时，聚类技术非常有用，因此它可以在构建其他模型之前帮助了解数据。 + +✅ 一旦你的数据被组织成簇，你可以为其分配一个簇ID。这种技术在保护数据集隐私时非常有用；你可以通过簇ID而不是更具识别性的详细数据来引用数据点。你能想到其他使用簇ID而不是簇内元素来标识数据的原因吗？ + +通过这个[学习模块](https://docs.microsoft.com/learn/modules/train-evaluate-cluster-models?WT.mc_id=academic-77952-leestott)深入了解聚类技术。 + +## 聚类入门 + +[Scikit-learn提供了大量方法](https://scikit-learn.org/stable/modules/clustering.html)来执行聚类。你选择的方法将取决于你的使用场景。根据文档，每种方法都有不同的优势。以下是Scikit-learn支持的方法及其适用场景的简化表格： + +| 方法名称 | 使用场景 | +| :--------------------------- | :--------------------------------------------------------------------- | +| K-Means | 通用目的，归纳式 | +| Affinity propagation | 多个、不均匀簇，归纳式 | +| Mean-shift | 多个、不均匀簇，归纳式 | +| Spectral clustering | 少量、均匀簇，推断式 | +| Ward hierarchical clustering | 多个、受约束簇，推断式 | +| Agglomerative clustering | 多个、受约束、非欧几里得距离，推断式 | +| DBSCAN | 非平面几何、不均匀簇，推断式 | +| OPTICS | 非平面几何、不均匀簇且密度可变，推断式 | +| Gaussian mixtures | 平面几何，归纳式 | +| BIRCH | 大型数据集且有异常值，归纳式 | + +> 🎓 我们如何创建簇与我们如何将数据点分组到簇中有很大关系。让我们解读一些术语： +> +> 🎓 ['推断式' vs. '归纳式'](https://wikipedia.org/wiki/Transduction_(machine_learning)) +> +> 推断式推理基于观察到的训练案例映射到特定测试案例。归纳式推理基于训练案例映射到一般规则，然后应用于测试案例。 +> +> 举个例子：假设你有一个部分标记的数据集。一些是“唱片”，一些是“CD”，还有一些是空白的。你的任务是为空白数据提供标签。如果你选择归纳式方法，你会训练一个模型寻找“唱片”和“CD”，并将这些标签应用于未标记数据。这种方法可能难以分类实际上是“磁带”的东西。而推断式方法则更有效地处理这些未知数据，因为它会努力将相似的项目分组，然后为整个组应用标签。在这种情况下，簇可能反映“圆形音乐物品”和“方形音乐物品”。 +> +> 🎓 ['非平面' vs. '平面几何'](https://datascience.stackexchange.com/questions/52260/terminology-flat-geometry-in-the-context-of-clustering) +> +> 源自数学术语，非平面与平面几何指的是通过“平面”（[欧几里得](https://wikipedia.org/wiki/Euclidean_geometry)）或“非平面”（非欧几里得）几何方法测量点之间的距离。 +> +>'平面'在此上下文中指的是欧几里得几何（部分内容被称为“平面”几何），而非平面指的是非欧几里得几何。几何与机器学习有什么关系？作为两个都根植于数学的领域，必须有一种通用方法来测量簇中点之间的距离，这可以根据数据的性质以“平面”或“非平面”的方式完成。[欧几里得距离](https://wikipedia.org/wiki/Euclidean_distance)是通过两点之间线段的长度来测量的。[非欧几里得距离](https://wikipedia.org/wiki/Non-Euclidean_geometry)则沿曲线测量。如果你的数据在可视化时似乎不在平面上，你可能需要使用专门的算法来处理它。 +> +![平面与非平面几何信息图](../../../../5-Clustering/1-Visualize/images/flat-nonflat.png) +> 信息图由[Dasani Madipalli](https://twitter.com/dasani_decoded)制作 +> +> 🎓 ['距离'](https://web.stanford.edu/class/cs345a/slides/12-clustering.pdf) +> +> 簇由其距离矩阵定义，例如点之间的距离。这种距离可以通过几种方式测量。欧几里得簇由点值的平均值定义，并包含一个“质心”或中心点。因此距离是通过到质心的距离来测量的。非欧几里得距离指的是“簇心”，即最接近其他点的点。簇心可以通过多种方式定义。 +> +> 🎓 ['受约束'](https://wikipedia.org/wiki/Constrained_clustering) +> +> [受约束聚类](https://web.cs.ucdavis.edu/~davidson/Publications/ICDMTutorial.pdf)在这种无监督方法中引入了“半监督”学习。点之间的关系被标记为“不能链接”或“必须链接”，因此对数据集施加了一些规则。 +> +>举个例子：如果一个算法在一批未标记或半标记数据上自由运行，它生成的簇可能质量较差。在上述例子中，簇可能会将“圆形音乐物品”、“方形音乐物品”、“三角形物品”和“饼干”分组。如果给出一些约束或规则（“物品必须是塑料制成的”，“物品需要能够产生音乐”），这可以帮助“约束”算法做出更好的选择。 +> +> 🎓 '密度' +> +> 数据“噪声”被认为是“密集”的。每个簇中点之间的距离在检查时可能会更密集或更稀疏，因此需要使用适当的聚类方法来分析这些数据。[这篇文章](https://www.kdnuggets.com/2020/02/understanding-density-based-clustering.html)展示了使用K-Means聚类与HDBSCAN算法探索具有不均匀簇密度的噪声数据集的区别。 + +## 聚类算法 + +有超过100种聚类算法，其使用取决于手头数据的性质。让我们讨论一些主要的算法： + +- **层次聚类**。如果一个对象根据其与附近对象的接近程度而被分类，而不是与更远的对象，簇是基于其成员与其他对象的距离形成的。Scikit-learn的凝聚聚类是层次聚类。 + + ![层次聚类信息图](../../../../5-Clustering/1-Visualize/images/hierarchical.png) + > 信息图由[Dasani Madipalli](https://twitter.com/dasani_decoded)制作 + +- **质心聚类**。这种流行的算法需要选择“k”，即要形成的簇数量，然后算法确定簇的中心点并围绕该点收集数据。[K均值聚类](https://wikipedia.org/wiki/K-means_clustering)是质心聚类的一种流行版本。中心点由最近的平均值确定，因此得名。簇的平方距离被最小化。 + + ![质心聚类信息图](../../../../5-Clustering/1-Visualize/images/centroid.png) + > 信息图由[Dasani Madipalli](https://twitter.com/dasani_decoded)制作 + +- **基于分布的聚类**。基于统计建模，分布式聚类的核心是确定数据点属于某个簇的概率，并据此分配。高斯混合方法属于这一类型。 + +- **基于密度的聚类**。数据点根据其密度或围绕彼此的分组被分配到簇中。远离组的数据点被认为是异常值或噪声。DBSCAN、Mean-shift和OPTICS属于这一类型的聚类。 + +- **基于网格的聚类**。对于多维数据集，创建一个网格并将数据分配到网格的单元中，从而形成簇。 + +## 练习 - 聚类你的数据 + +聚类作为一种技术在适当的可视化帮助下效果更好，因此让我们通过可视化我们的音乐数据开始。这项练习将帮助我们决定针对这些数据的性质最有效使用哪种聚类方法。 + +1. 打开此文件夹中的[_notebook.ipynb_](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/1-Visualize/notebook.ipynb)。 + +1. 导入`Seaborn`包以实现良好的数据可视化。 + + ```python + !pip install seaborn + ``` + +1. 从[_nigerian-songs.csv_](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/data/nigerian-songs.csv)中追加歌曲数据。加载一个包含歌曲数据的数据框。通过导入库并输出数据准备探索这些数据： + + ```python + import matplotlib.pyplot as plt + import pandas as pd + + df = pd.read_csv("../data/nigerian-songs.csv") + df.head() + ``` + + 检查数据的前几行： + + | | 名称 | 专辑 | 艺术家 | 艺术家主要风格 | 发行日期 | 时长 | 热度 | 舞蹈性 | 声学性 | 能量 | 器乐性 | 现场感 | 响度 | 语音性 | 节奏 | 拍号 | + | --- | ------------------------ | ---------------------------- | ------------------- | ---------------- | ------------ | ------ | ---------- | ------------ | ------------ | ------ | ---------------- | -------- | -------- | ----------- | ------- | -------------- | + | 0 | Sparky | Mandy & The Jungle | Cruel Santino | alternative r&b | 2019 | 144000 | 48 | 0.666 | 0.851 | 0.42 | 0.534 | 0.11 | -6.699 | 0.0829 | 133.015 | 5 | + | 1 | shuga rush | EVERYTHING YOU HEARD IS TRUE | Odunsi (The Engine) | afropop | 2020 | 89488 | 30 | 0.71 | 0.0822 | 0.683 | 0.000169 | 0.101 | -5.64 | 0.36 | 129.993 | 3 | +| 2 | LITT! | LITT! | AYLØ | 独立R&B | 2018 | 207758 | 40 | 0.836 | 0.272 | 0.564 | 0.000537 | 0.11 | -7.127 | 0.0424 | 130.005 | 4 | +| 3 | Confident / Feeling Cool | Enjoy Your Life | Lady Donli | 尼日利亚流行 | 2019 | 175135 | 14 | 0.894 | 0.798 | 0.611 | 0.000187 | 0.0964 | -4.961 | 0.113 | 111.087 | 4 | +| 4 | wanted you | rare. | Odunsi (The Engine) | 非洲流行 | 2018 | 152049 | 25 | 0.702 | 0.116 | 0.833 | 0.91 | 0.348 | -6.044 | 0.0447 | 105.115 | 4 | + +1. 获取数据框的一些信息，调用 `info()`： + + ```python + df.info() + ``` + + 输出如下所示： + + ```output + + RangeIndex: 530 entries, 0 to 529 + Data columns (total 16 columns): + # Column Non-Null Count Dtype + --- ------ -------------- ----- + 0 name 530 non-null object + 1 album 530 non-null object + 2 artist 530 non-null object + 3 artist_top_genre 530 non-null object + 4 release_date 530 non-null int64 + 5 length 530 non-null int64 + 6 popularity 530 non-null int64 + 7 danceability 530 non-null float64 + 8 acousticness 530 non-null float64 + 9 energy 530 non-null float64 + 10 instrumentalness 530 non-null float64 + 11 liveness 530 non-null float64 + 12 loudness 530 non-null float64 + 13 speechiness 530 non-null float64 + 14 tempo 530 non-null float64 + 15 time_signature 530 non-null int64 + dtypes: float64(8), int64(4), object(4) + memory usage: 66.4+ KB + ``` + +1. 通过调用 `isnull()` 并验证总和为 0 来仔细检查是否有空值： + + ```python + df.isnull().sum() + ``` + + 看起来不错： + + ```output + name 0 + album 0 + artist 0 + artist_top_genre 0 + release_date 0 + length 0 + popularity 0 + danceability 0 + acousticness 0 + energy 0 + instrumentalness 0 + liveness 0 + loudness 0 + speechiness 0 + tempo 0 + time_signature 0 + dtype: int64 + ``` + +1. 描述数据： + + ```python + df.describe() + ``` + + | | release_date | length | popularity | danceability | acousticness | energy | instrumentalness | liveness | loudness | speechiness | tempo | time_signature | + | ----- | ------------ | ----------- | ---------- | ------------ | ------------ | -------- | ---------------- | -------- | --------- | ----------- | ---------- | -------------- | + | count | 530 | 530 | 530 | 530 | 530 | 530 | 530 | 530 | 530 | 530 | 530 | 530 | + | mean | 2015.390566 | 222298.1698 | 17.507547 | 0.741619 | 0.265412 | 0.760623 | 0.016305 | 0.147308 | -4.953011 | 0.130748 | 116.487864 | 3.986792 | + | std | 3.131688 | 39696.82226 | 18.992212 | 0.117522 | 0.208342 | 0.148533 | 0.090321 | 0.123588 | 2.464186 | 0.092939 | 23.518601 | 0.333701 | + | min | 1998 | 89488 | 0 | 0.255 | 0.000665 | 0.111 | 0 | 0.0283 | -19.362 | 0.0278 | 61.695 | 3 | + | 25% | 2014 | 199305 | 0 | 0.681 | 0.089525 | 0.669 | 0 | 0.07565 | -6.29875 | 0.0591 | 102.96125 | 4 | + | 50% | 2016 | 218509 | 13 | 0.761 | 0.2205 | 0.7845 | 0.000004 | 0.1035 | -4.5585 | 0.09795 | 112.7145 | 4 | + | 75% | 2017 | 242098.5 | 31 | 0.8295 | 0.403 | 0.87575 | 0.000234 | 0.164 | -3.331 | 0.177 | 125.03925 | 4 | + | max | 2020 | 511738 | 73 | 0.966 | 0.954 | 0.995 | 0.91 | 0.811 | 0.582 | 0.514 | 206.007 | 5 | + +> 🤔 如果我们正在使用聚类算法，这是一种不需要标签数据的无监督方法，为什么我们要展示带标签的数据？在数据探索阶段，这些标签很有用，但对于聚类算法来说并不是必要的。你完全可以移除列标题，并通过列号来引用数据。 + +观察数据的一般值。注意，流行度可以为“0”，这表明歌曲没有排名。我们稍后会移除这些数据。 + +1. 使用柱状图找出最受欢迎的音乐类型： + + ```python + import seaborn as sns + + top = df['artist_top_genre'].value_counts() + plt.figure(figsize=(10,7)) + sns.barplot(x=top[:5].index,y=top[:5].values) + plt.xticks(rotation=45) + plt.title('Top genres',color = 'blue') + ``` + + ![最受欢迎](../../../../5-Clustering/1-Visualize/images/popular.png) + +✅ 如果你想看到更多的前几项，可以将 `[:5]` 改为更大的值，或者移除它以查看全部。 + +注意，当最受欢迎的音乐类型被描述为“Missing”时，这意味着 Spotify 没有对其进行分类，因此我们需要移除它。 + +1. 通过过滤移除缺失数据 + + ```python + df = df[df['artist_top_genre'] != 'Missing'] + top = df['artist_top_genre'].value_counts() + plt.figure(figsize=(10,7)) + sns.barplot(x=top.index,y=top.values) + plt.xticks(rotation=45) + plt.title('Top genres',color = 'blue') + ``` + + 现在重新检查音乐类型： + + ![所有音乐类型](../../../../5-Clustering/1-Visualize/images/all-genres.png) + +1. 显然，前三种音乐类型在这个数据集中占据主导地位。让我们专注于 `afro dancehall`、`afropop` 和 `nigerian pop`，并进一步过滤数据，移除流行度为 0 的数据（这意味着它在数据集中没有被分类为流行度，可以被视为噪声）： + + ```python + df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')] + df = df[(df['popularity'] > 0)] + top = df['artist_top_genre'].value_counts() + plt.figure(figsize=(10,7)) + sns.barplot(x=top.index,y=top.values) + plt.xticks(rotation=45) + plt.title('Top genres',color = 'blue') + ``` + +1. 快速测试数据是否有特别强的相关性： + + ```python + corrmat = df.corr(numeric_only=True) + f, ax = plt.subplots(figsize=(12, 9)) + sns.heatmap(corrmat, vmax=.8, square=True) + ``` + + ![相关性](../../../../5-Clustering/1-Visualize/images/correlation.png) + + 唯一强相关的是 `energy` 和 `loudness`，这并不令人惊讶，因为响亮的音乐通常很有活力。除此之外，相关性相对较弱。看看聚类算法如何处理这些数据会很有趣。 + + > 🎓 注意，相关性并不意味着因果关系！我们有相关性的证据，但没有因果关系的证据。一个[有趣的网站](https://tylervigen.com/spurious-correlations)提供了一些视觉效果来强调这一点。 + +在这个数据集中，歌曲的流行度和舞蹈性是否有任何收敛？一个 FacetGrid 显示出无论音乐类型如何，都有一些同心圆排列。是否可能尼日利亚的音乐品味在某种程度上对这一类型的舞蹈性趋于一致？ + +✅ 尝试不同的数据点（如 energy、loudness、speechiness）以及更多或不同的音乐类型。你能发现什么？查看 `df.describe()` 表格以了解数据点的一般分布。 + +### 练习 - 数据分布 + +这三种音乐类型在舞蹈性和流行度的感知上是否显著不同？ + +1. 检查我们前三种音乐类型在给定 x 和 y 轴上的流行度和舞蹈性数据分布。 + + ```python + sns.set_theme(style="ticks") + + g = sns.jointplot( + data=df, + x="popularity", y="danceability", hue="artist_top_genre", + kind="kde", + ) + ``` + + 你可以发现围绕一个一般收敛点的同心圆，显示数据点的分布。 + + > 🎓 注意，这个例子使用了一个 KDE（核密度估计）图，它通过连续概率密度曲线来表示数据。这使我们能够在处理多个分布时解释数据。 + + 总体而言，这三种音乐类型在流行度和舞蹈性方面大致对齐。确定这些松散对齐数据中的聚类将是一个挑战： + + ![分布](../../../../5-Clustering/1-Visualize/images/distribution.png) + +1. 创建一个散点图： + + ```python + sns.FacetGrid(df, hue="artist_top_genre", height=5) \ + .map(plt.scatter, "popularity", "danceability") \ + .add_legend() + ``` + + 同一轴上的散点图显示了类似的收敛模式 + + ![Facetgrid](../../../../5-Clustering/1-Visualize/images/facetgrid.png) + +通常，对于聚类，你可以使用散点图来显示数据的聚类，因此掌握这种可视化类型非常有用。在下一课中，我们将使用 k-means 聚类来探索这些数据中有趣的重叠群组。 + +--- + +## 🚀挑战 + +为下一课做准备，制作一个关于你可能发现并在生产环境中使用的各种聚类算法的图表。聚类试图解决什么样的问题？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在应用聚类算法之前，正如我们所学，了解数据集的性质是一个好主意。阅读更多相关内容[这里](https://www.kdnuggets.com/2019/10/right-clustering-algorithm.html) + +[这篇有用的文章](https://www.freecodecamp.org/news/8-clustering-algorithms-in-machine-learning-that-all-data-scientists-should-know/)带你了解不同聚类算法在不同数据形状下的表现。 + +## 作业 + +[研究其他用于聚类的可视化方法](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/assignment.md b/translations/zh-CN/5-Clustering/1-Visualize/assignment.md new file mode 100644 index 000000000..8500d5c5f --- /dev/null +++ b/translations/zh-CN/5-Clustering/1-Visualize/assignment.md @@ -0,0 +1,16 @@ +# 研究其他用于聚类的可视化方法 + +## 说明 + +在本课中，你已经学习了一些可视化技术，以便在进行聚类之前对数据进行绘图。散点图尤其适合用于发现对象的分组。研究创建散点图的不同方法和不同库，并在笔记本中记录你的研究成果。你可以使用本课的数据、其他课程的数据，或者自己找到的数据（不过，请在笔记本中注明数据来源）。使用散点图绘制一些数据，并解释你的发现。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | -------------------------------------------------------------- | ---------------------------------------------------------------------------------------- | ----------------------------------- | +| | 提交的笔记本包含五个记录详尽的散点图 | 提交的笔记本包含少于五个散点图，且记录不够详尽 | 提交的笔记本不完整 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/notebook.ipynb b/translations/zh-CN/5-Clustering/1-Visualize/notebook.ipynb new file mode 100644 index 000000000..0b6a5b659 --- /dev/null +++ b/translations/zh-CN/5-Clustering/1-Visualize/notebook.ipynb @@ -0,0 +1,50 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.3" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python383jvsc74a57bd0e134e05457d34029b6460cd73bbf1ed73f339b5b6d98c95be70b69eba114fe95", + "display_name": "Python 3.8.3 64-bit (conda)" + }, + "coopTranslator": { + "original_hash": "40e0707e96b3e1899a912776006264f9", + "translation_date": "2025-09-03T20:01:48+00:00", + "source_file": "5-Clustering/1-Visualize/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/solution/Julia/README.md b/translations/zh-CN/5-Clustering/1-Visualize/solution/Julia/README.md new file mode 100644 index 000000000..779236745 --- /dev/null +++ b/translations/zh-CN/5-Clustering/1-Visualize/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb b/translations/zh-CN/5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb new file mode 100644 index 000000000..5a0a7b638 --- /dev/null +++ b/translations/zh-CN/5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb @@ -0,0 +1,493 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "## **从Spotify抓取的尼日利亚音乐分析**\n", + "\n", + "聚类是一种[无监督学习](https://wikipedia.org/wiki/Unsupervised_learning)方法，假设数据集是未标记的，或者其输入未与预定义的输出匹配。它使用各种算法对未标记的数据进行分类，并根据数据中识别出的模式提供分组。\n", + "\n", + "[**课前测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/27/)\n", + "\n", + "### **简介**\n", + "\n", + "[聚类](https://link.springer.com/referenceworkentry/10.1007%2F978-0-387-30164-8_124)在数据探索中非常有用。让我们看看它是否能帮助发现尼日利亚观众消费音乐的趋势和模式。\n", + "\n", + "> ✅ 花一分钟思考一下聚类的用途。在现实生活中，聚类就像你有一堆洗好的衣服，需要将家人各自的衣物分类🧦👕👖🩲。在数据科学中，聚类发生在分析用户偏好或确定任何未标记数据集的特征时。聚类在某种程度上帮助我们从混乱中找到秩序，比如整理袜子抽屉。\n", + "\n", + "在专业环境中，聚类可以用于市场细分，例如确定哪些年龄段购买哪些商品。另一个用途是异常检测，比如从信用卡交易数据集中检测欺诈行为。或者，你可以用聚类来识别一批医学扫描中的肿瘤。\n", + "\n", + "✅ 花一分钟思考一下你在银行、电子商务或商业环境中可能遇到过的聚类应用。\n", + "\n", + "> 🎓 有趣的是，聚类分析起源于20世纪30年代的人类学和心理学领域。你能想象它可能是如何被使用的吗？\n", + "\n", + "另外，你可以用它来对搜索结果进行分组——例如按购物链接、图片或评论分组。当你有一个大型数据集需要简化并进行更细致的分析时，聚类技术非常有用，因此它可以在构建其他模型之前帮助了解数据。\n", + "\n", + "✅ 一旦你的数据被组织成聚类，你可以为其分配一个聚类ID。这种技术在保护数据集隐私时非常有用；你可以用聚类ID来引用数据点，而不是使用更具识别性的详细数据。你能想到其他使用聚类ID而不是聚类中其他元素来标识数据点的原因吗？\n", + "\n", + "### 开始学习聚类\n", + "\n", + "> 🎓 我们如何创建聚类与我们如何将数据点分组密切相关。让我们来解读一些术语：\n", + ">\n", + "> 🎓 ['传导性' vs. '归纳性'](https://wikipedia.org/wiki/Transduction_(machine_learning))\n", + ">\n", + "> 传导性推理是从观察到的训练案例中得出的，这些案例映射到特定的测试案例。归纳性推理是从训练案例中得出的，这些案例映射到一般规则，然后才应用于测试案例。\n", + ">\n", + "> 举个例子：假设你有一个部分标记的数据集。一些是“唱片”，一些是“CD”，还有一些是空白的。你的任务是为空白部分提供标签。如果你选择归纳方法，你会训练一个模型寻找“唱片”和“CD”，并将这些标签应用于未标记的数据。这种方法可能难以分类实际上是“磁带”的东西。而传导方法则更有效地处理这些未知数据，因为它会将相似的项目分组，然后为整个组应用一个标签。在这种情况下，聚类可能反映“圆形音乐物品”和“方形音乐物品”。\n", + ">\n", + "> 🎓 ['非平面' vs. '平面'几何](https://datascience.stackexchange.com/questions/52260/terminology-flat-geometry-in-the-context-of-clustering)\n", + ">\n", + "> 源于数学术语，非平面与平面几何指的是通过“平面”（[欧几里得](https://wikipedia.org/wiki/Euclidean_geometry)）或“非平面”（非欧几里得）几何方法测量点之间的距离。\n", + ">\n", + "> 在此上下文中，“平面”指的是欧几里得几何（部分被称为“平面”几何），而“非平面”指的是非欧几里得几何。几何与机器学习有什么关系？作为两个都以数学为基础的领域，必须有一种通用的方法来测量聚类中点之间的距离，这可以根据数据的性质以“平面”或“非平面”的方式进行。[欧几里得距离](https://wikipedia.org/wiki/Euclidean_distance)是通过两点之间线段的长度来测量的。[非欧几里得距离](https://wikipedia.org/wiki/Non-Euclidean_geometry)则沿曲线测量。如果你的数据在可视化时似乎不在一个平面上，你可能需要使用专门的算法来处理它。\n", + "\n", + "

\n", + " \n", + "

Dasani Madipalli制作的信息图
\n", + "\n", + "> 🎓 ['距离'](https://web.stanford.edu/class/cs345a/slides/12-clustering.pdf)\n", + ">\n", + "> 聚类由其距离矩阵定义，例如点之间的距离。这种距离可以通过几种方式测量。欧几里得聚类由点值的平均值定义，并包含一个“质心”或中心点。因此，距离是通过到质心的距离来测量的。非欧几里得距离指的是“聚心”，即最接近其他点的点。聚心可以通过多种方式定义。\n", + ">\n", + "> 🎓 ['约束'](https://wikipedia.org/wiki/Constrained_clustering)\n", + ">\n", + "> [约束聚类](https://web.cs.ucdavis.edu/~davidson/Publications/ICDMTutorial.pdf)在这种无监督方法中引入了“半监督”学习。点之间的关系被标记为“不能链接”或“必须链接”，因此对数据集施加了一些规则。\n", + ">\n", + "> 举个例子：如果一个算法在一批未标记或半标记的数据上自由运行，它生成的聚类可能质量较差。在上面的例子中，聚类可能会将“圆形音乐物品”、“方形音乐物品”、“三角形物品”和“饼干”分组。如果给出一些约束或规则（“物品必须是塑料制成的”，“物品需要能够产生音乐”），这可以帮助“约束”算法做出更好的选择。\n", + ">\n", + "> 🎓 '密度'\n", + ">\n", + "> 数据“噪声”被认为是“密集”的。每个聚类中点之间的距离可能在检查时表现为更密集或更稀疏，因此需要使用适当的聚类方法进行分析。[这篇文章](https://www.kdnuggets.com/2020/02/understanding-density-based-clustering.html)展示了使用K均值聚类与HDBSCAN算法探索具有不均匀聚类密度的噪声数据集的区别。\n", + "\n", + "通过这个[学习模块](https://docs.microsoft.com/learn/modules/train-evaluate-cluster-models?WT.mc_id=academic-77952-leestott)加深对聚类技术的理解。\n", + "\n", + "### **聚类算法**\n", + "\n", + "有超过100种聚类算法，其使用取决于手头数据的性质。让我们讨论一些主要的算法：\n", + "\n", + "- **层次聚类**。如果一个对象根据其与附近对象的接近程度而被分类，而不是与更远的对象，聚类是根据其成员与其他对象的距离形成的。层次聚类的特点是反复合并两个聚类。\n", + "\n", + "

\n", + " \n", + "

Dasani Madipalli制作的信息图
\n", + "\n", + "- **质心聚类**。这种流行的算法需要选择“k”，即要形成的聚类数量，然后算法确定聚类的中心点并围绕该点收集数据。[K均值聚类](https://wikipedia.org/wiki/K-means_clustering)是质心聚类的一种流行版本，它将数据集分为预定义的K组。中心点由最近的平均值确定，因此得名。聚类的平方距离被最小化。\n", + "\n", + "

\n", + " \n", + "

Dasani Madipalli制作的信息图
\n", + "\n", + "- **基于分布的聚类**。基于统计建模，分布式聚类的核心是确定数据点属于某个聚类的概率，并据此分配。高斯混合方法属于这一类型。\n", + "\n", + "- **基于密度的聚类**。数据点根据其密度或围绕彼此的分组被分配到聚类中。远离组的数据点被认为是异常值或噪声。DBSCAN、Mean-shift和OPTICS属于这一类型的聚类。\n", + "\n", + "- **基于网格的聚类**。对于多维数据集，创建一个网格并将数据分配到网格的单元中，从而形成聚类。\n", + "\n", + "学习聚类的最佳方法是亲自尝试，这正是你将在本练习中做的。\n", + "\n", + "我们需要一些包来完成这个模块。你可以通过以下方式安装它们：`install.packages(c('tidyverse', 'tidymodels', 'DataExplorer', 'summarytools', 'plotly', 'paletteer', 'corrplot', 'patchwork'))`\n", + "\n", + "或者，下面的脚本会检查你是否拥有完成此模块所需的包，并在缺少时为你安装它们。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "suppressWarnings(if(!require(\"pacman\")) install.packages(\"pacman\"))\r\n", + "\r\n", + "pacman::p_load('tidyverse', 'tidymodels', 'DataExplorer', 'summarytools', 'plotly', 'paletteer', 'corrplot', 'patchwork')\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## 练习 - 对数据进行聚类\n", + "\n", + "聚类作为一种技术，通过适当的可视化可以大大提高效果，因此让我们从可视化音乐数据开始。这项练习将帮助我们决定哪种聚类方法最适合用于处理这些数据的特性。\n", + "\n", + "让我们立即开始，导入数据。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Load the core tidyverse and make it available in your current R session\r\n", + "library(tidyverse)\r\n", + "\r\n", + "# Import the data into a tibble\r\n", + "df <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/5-Clustering/data/nigerian-songs.csv\")\r\n", + "\r\n", + "# View the first 5 rows of the data set\r\n", + "df %>% \r\n", + " slice_head(n = 5)\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "有时候，我们可能希望对数据有更多的了解。我们可以通过使用 [*glimpse()*](https://pillar.r-lib.org/reference/glimpse.html) 函数来查看 `数据` 和 `其结构`：\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Glimpse into the data set\r\n", + "df %>% \r\n", + " glimpse()\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "干得好！💪\n", + "\n", + "我们可以看到，`glimpse()` 会显示数据集的总行数（观测值）和列数（变量），然后在变量名称后按行显示每个变量的前几个条目。此外，变量的*数据类型*会紧跟在每个变量名称后面，用 `< >` 表示。\n", + "\n", + "`DataExplorer::introduce()` 可以将这些信息整齐地总结出来：\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Describe basic information for our data\r\n", + "df %>% \r\n", + " introduce()\r\n", + "\r\n", + "# A visual display of the same\r\n", + "df %>% \r\n", + " plot_intro()\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "太棒了！我们刚刚了解到我们的数据没有缺失值。\n", + "\n", + "既然如此，我们可以使用 `summarytools::descr()` 来探索常见的集中趋势统计（例如 [均值](https://en.wikipedia.org/wiki/Arithmetic_mean) 和 [中位数](https://en.wikipedia.org/wiki/Median)）以及离散程度的度量（例如 [标准差](https://en.wikipedia.org/wiki/Standard_deviation)）。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Describe common statistics\r\n", + "df %>% \r\n", + " descr(stats = \"common\")\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "让我们来看一下数据的总体值。请注意，流行度可以为 `0`，这表示没有排名的歌曲。我们稍后会将这些移除。\n", + "\n", + "> 🤔 如果我们正在使用聚类，这是一种不需要标签数据的无监督方法，为什么我们还要展示带有标签的数据呢？在数据探索阶段，这些标签非常有用，但它们并不是聚类算法运行所必需的。\n", + "\n", + "### 1. 探索流行的音乐类型\n", + "\n", + "让我们继续找出最流行的音乐类型 🎶，通过统计它出现的次数来实现。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Popular genres\r\n", + "top_genres <- df %>% \r\n", + " count(artist_top_genre, sort = TRUE) %>% \r\n", + "# Encode to categorical and reorder the according to count\r\n", + " mutate(artist_top_genre = factor(artist_top_genre) %>% fct_inorder())\r\n", + "\r\n", + "# Print the top genres\r\n", + "top_genres\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "那很顺利！人们常说“一张图片胜过千行数据框”（其实没人这么说过 😅）。但你明白我的意思，对吧？\n", + "\n", + "可视化分类数据（字符或因子变量）的一种方法是使用柱状图。让我们绘制一个前10大流派的柱状图：\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Change the default gray theme\r\n", + "theme_set(theme_light())\r\n", + "\r\n", + "# Visualize popular genres\r\n", + "top_genres %>%\r\n", + " slice(1:10) %>% \r\n", + " ggplot(mapping = aes(x = artist_top_genre, y = n,\r\n", + " fill = artist_top_genre)) +\r\n", + " geom_col(alpha = 0.8) +\r\n", + " paletteer::scale_fill_paletteer_d(\"rcartocolor::Vivid\") +\r\n", + " ggtitle(\"Top genres\") +\r\n", + " theme(plot.title = element_text(hjust = 0.5),\r\n", + " # Rotates the X markers (so we can read them)\r\n", + " axis.text.x = element_text(angle = 90))\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "现在更容易发现我们有`缺失`的音乐类型了 🧐！\n", + "\n", + "> 一个好的可视化能够展示你意想不到的内容，或者引发你对数据的新疑问 —— Hadley Wickham 和 Garrett Grolemund，《R For Data Science》(https://r4ds.had.co.nz/introduction.html)\n", + "\n", + "注意，当主要音乐类型被描述为`缺失`时，这意味着Spotify没有对其进行分类，所以我们需要将其去除。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Visualize popular genres\r\n", + "top_genres %>%\r\n", + " filter(artist_top_genre != \"Missing\") %>% \r\n", + " slice(1:10) %>% \r\n", + " ggplot(mapping = aes(x = artist_top_genre, y = n,\r\n", + " fill = artist_top_genre)) +\r\n", + " geom_col(alpha = 0.8) +\r\n", + " paletteer::scale_fill_paletteer_d(\"rcartocolor::Vivid\") +\r\n", + " ggtitle(\"Top genres\") +\r\n", + " theme(plot.title = element_text(hjust = 0.5),\r\n", + " # Rotates the X markers (so we can read them)\r\n", + " axis.text.x = element_text(angle = 90))\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "通过初步的数据探索，我们了解到前三大音乐类型在这个数据集中占据主导地位。让我们专注于 `afro dancehall`、`afropop` 和 `nigerian pop`，并进一步过滤数据集，去除任何流行度值为 0 的条目（这意味着这些条目在数据集中未被分类为流行，且对于我们的目的来说可以视为噪声）：\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "nigerian_songs <- df %>% \r\n", + " # Concentrate on top 3 genres\r\n", + " filter(artist_top_genre %in% c(\"afro dancehall\", \"afropop\",\"nigerian pop\")) %>% \r\n", + " # Remove unclassified observations\r\n", + " filter(popularity != 0)\r\n", + "\r\n", + "\r\n", + "\r\n", + "# Visualize popular genres\r\n", + "nigerian_songs %>%\r\n", + " count(artist_top_genre) %>%\r\n", + " ggplot(mapping = aes(x = artist_top_genre, y = n,\r\n", + " fill = artist_top_genre)) +\r\n", + " geom_col(alpha = 0.8) +\r\n", + " paletteer::scale_fill_paletteer_d(\"ggsci::category10_d3\") +\r\n", + " ggtitle(\"Top genres\") +\r\n", + " theme(plot.title = element_text(hjust = 0.5))\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "让我们看看数据集中数值变量之间是否存在明显的线性关系。这种关系可以通过[相关统计量](https://en.wikipedia.org/wiki/Correlation)在数学上进行量化。\n", + "\n", + "相关统计量是一个介于 -1 和 1 之间的值，用于表示关系的强度。大于 0 的值表示*正相关*（一个变量的高值往往与另一个变量的高值同时出现），而小于 0 的值表示*负相关*（一个变量的高值往往与另一个变量的低值同时出现）。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Narrow down to numeric variables and fid correlation\r\n", + "corr_mat <- nigerian_songs %>% \r\n", + " select(where(is.numeric)) %>% \r\n", + " cor()\r\n", + "\r\n", + "# Visualize correlation matrix\r\n", + "corrplot(corr_mat, order = 'AOE', col = c('white', 'black'), bg = 'gold2') \r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "数据之间的相关性并不强，除了 `energy` 和 `loudness` 之间的关系，这很合理，因为响亮的音乐通常充满活力。`Popularity` 与 `release date` 也有一定的对应关系，这也合乎逻辑，因为较新的歌曲可能更受欢迎。长度和能量似乎也存在一定的相关性。\n", + "\n", + "看看聚类算法如何处理这些数据会很有趣！\n", + "\n", + "> 🎓 请注意，相关性并不意味着因果关系！我们有相关性的证据，但没有因果关系的证明。一个[有趣的网站](https://tylervigen.com/spurious-correlations)提供了一些视觉化内容来强调这一点。\n", + "\n", + "### 2. 探索数据分布\n", + "\n", + "让我们提出一些更微妙的问题。基于流行度，不同的音乐类型在舞蹈性上的感知是否有显著差异？让我们使用[密度图](https://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/density-curves/v/density-curves)沿着给定的 x 和 y 轴来检查我们前三大音乐类型在流行度和舞蹈性上的数据分布。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# Perform 2D kernel density estimation\r\n", + "density_estimate_2d <- nigerian_songs %>% \r\n", + " ggplot(mapping = aes(x = popularity, y = danceability, color = artist_top_genre)) +\r\n", + " geom_density_2d(bins = 5, size = 1) +\r\n", + " paletteer::scale_color_paletteer_d(\"RSkittleBrewer::wildberry\") +\r\n", + " xlim(-20, 80) +\r\n", + " ylim(0, 1.2)\r\n", + "\r\n", + "# Density plot based on the popularity\r\n", + "density_estimate_pop <- nigerian_songs %>% \r\n", + " ggplot(mapping = aes(x = popularity, fill = artist_top_genre, color = artist_top_genre)) +\r\n", + " geom_density(size = 1, alpha = 0.5) +\r\n", + " paletteer::scale_fill_paletteer_d(\"RSkittleBrewer::wildberry\") +\r\n", + " paletteer::scale_color_paletteer_d(\"RSkittleBrewer::wildberry\") +\r\n", + " theme(legend.position = \"none\")\r\n", + "\r\n", + "# Density plot based on the danceability\r\n", + "density_estimate_dance <- nigerian_songs %>% \r\n", + " ggplot(mapping = aes(x = danceability, fill = artist_top_genre, color = artist_top_genre)) +\r\n", + " geom_density(size = 1, alpha = 0.5) +\r\n", + " paletteer::scale_fill_paletteer_d(\"RSkittleBrewer::wildberry\") +\r\n", + " paletteer::scale_color_paletteer_d(\"RSkittleBrewer::wildberry\")\r\n", + "\r\n", + "\r\n", + "# Patch everything together\r\n", + "library(patchwork)\r\n", + "density_estimate_2d / (density_estimate_pop + density_estimate_dance)\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "我们发现，无论是哪种类型，都有同心圆对齐的现象。难道尼日利亚人的品味在这个类型的某种舞蹈性水平上趋于一致？\n", + "\n", + "总体来说，这三种类型在受欢迎程度和舞蹈性方面是相符的。在这种松散对齐的数据中确定聚类将是一个挑战。让我们看看散点图是否能对此提供支持。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "# A scatter plot of popularity and danceability\r\n", + "scatter_plot <- nigerian_songs %>% \r\n", + " ggplot(mapping = aes(x = popularity, y = danceability, color = artist_top_genre, shape = artist_top_genre)) +\r\n", + " geom_point(size = 2, alpha = 0.8) +\r\n", + " paletteer::scale_color_paletteer_d(\"futurevisions::mars\")\r\n", + "\r\n", + "# Add a touch of interactivity\r\n", + "ggplotly(scatter_plot)\r\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "同一坐标轴的散点图显示了类似的收敛模式。\n", + "\n", + "通常来说，在聚类分析中，你可以使用散点图来展示数据的聚类情况，因此掌握这种可视化方法非常有用。在下一节课中，我们将使用过滤后的数据，并通过 k-means 聚类来发现数据中以有趣方式重叠的群组。\n", + "\n", + "## **🚀 挑战**\n", + "\n", + "为下一节课做准备，制作一张关于各种聚类算法的图表，这些算法可能会在生产环境中被发现和使用。聚类试图解决哪些类型的问题？\n", + "\n", + "## [**课后测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/28/)\n", + "\n", + "## **复习与自学**\n", + "\n", + "在应用聚类算法之前，正如我们所学的，了解数据集的性质是一个好主意。你可以在[这里](https://www.kdnuggets.com/2019/10/right-clustering-algorithm.html)阅读更多相关内容。\n", + "\n", + "加深对聚类技术的理解：\n", + "\n", + "- [使用 Tidymodels 和相关工具训练和评估聚类模型](https://rpubs.com/eR_ic/clustering)\n", + "\n", + "- Bradley Boehmke 和 Brandon Greenwell 的[*Hands-On Machine Learning with R*](https://bradleyboehmke.github.io/HOML/)*.*\n", + "\n", + "## **作业**\n", + "\n", + "[研究其他用于聚类的可视化方法](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/1-Visualize/assignment.md)\n", + "\n", + "## 特别感谢：\n", + "\n", + "[Jen Looper](https://www.twitter.com/jenlooper) 创建了本模块的原始 Python 版本 ♥️\n", + "\n", + "[`Dasani Madipalli`](https://twitter.com/dasani_decoded) 创作了精彩的插图，使机器学习概念更易于理解和解释。\n", + "\n", + "祝学习愉快，\n", + "\n", + "[Eric](https://twitter.com/ericntay)，Gold Microsoft Learn 学生大使。\n" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "anaconda-cloud": "", + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.4.1" + }, + "coopTranslator": { + "original_hash": "99c36449cad3708a435f6798cfa39972", + "translation_date": "2025-09-03T20:07:40+00:00", + "source_file": "5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/1-Visualize/solution/notebook.ipynb b/translations/zh-CN/5-Clustering/1-Visualize/solution/notebook.ipynb new 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namealbumartistartist_top_genrerelease_datelengthpopularitydanceabilityacousticnessenergyinstrumentalnesslivenessloudnessspeechinesstempotime_signature
0SparkyMandy & The JungleCruel Santinoalternative r&b2019144000480.6660.85100.4200.5340000.1100-6.6990.0829133.0155
1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
2LITT!LITT!AYLØindie r&b2018207758400.8360.27200.5640.0005370.1100-7.1270.0424130.0054
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
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" + ], + "text/plain": [ + " name album \\\n", + "0 Sparky Mandy & The Jungle \n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "2 LITT! LITT! \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "0 Cruel Santino alternative r&b 2019 144000 48 \n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "2 AYLØ indie r&b 2018 207758 40 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "\n", + " speechiness tempo time_signature \n", + "0 0.0829 133.015 5 \n", + "1 0.3600 129.993 3 \n", + "2 0.0424 130.005 4 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "获取有关数据框的信息\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 530 entries, 0 to 529\n", + "Data columns (total 16 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 name 530 non-null object \n", + " 1 album 530 non-null object \n", + " 2 artist 530 non-null object \n", + " 3 artist_top_genre 530 non-null object \n", + " 4 release_date 530 non-null int64 \n", + " 5 length 530 non-null int64 \n", + " 6 popularity 530 non-null int64 \n", + " 7 danceability 530 non-null float64\n", + " 8 acousticness 530 non-null float64\n", + " 9 energy 530 non-null float64\n", + " 10 instrumentalness 530 non-null float64\n", + " 11 liveness 530 non-null float64\n", + " 12 loudness 530 non-null float64\n", + " 13 speechiness 530 non-null float64\n", + " 14 tempo 530 non-null float64\n", + " 15 time_signature 530 non-null int64 \n", + "dtypes: float64(8), int64(4), object(4)\n", + "memory usage: 66.4+ KB\n" + ] + } + ], + "source": [ + "df.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "name 0\n", + "album 0\n", + "artist 0\n", + "artist_top_genre 0\n", + "release_date 0\n", + "length 0\n", + "popularity 0\n", + "danceability 0\n", + "acousticness 0\n", + "energy 0\n", + "instrumentalness 0\n", + "liveness 0\n", + "loudness 0\n", + "speechiness 0\n", + "tempo 0\n", + "time_signature 0\n", + "dtype: int64" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.isnull().sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "查看数据的一般值。注意，受欢迎度可以是“0”——并且有许多行具有该值。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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release_datelengthpopularitydanceabilityacousticnessenergyinstrumentalnesslivenessloudnessspeechinesstempotime_signature
count530.000000530.000000530.000000530.000000530.000000530.000000530.000000530.000000530.000000530.000000530.000000530.000000
mean2015.390566222298.16981117.5075470.7416190.2654120.7606230.0163050.147308-4.9530110.130748116.4878643.986792
std3.13168839696.82225918.9922120.1175220.2083420.1485330.0903210.1235882.4641860.09293923.5186010.333701
min1998.00000089488.0000000.0000000.2550000.0006650.1110000.0000000.028300-19.3620000.02780061.6950003.000000
25%2014.000000199305.0000000.0000000.6810000.0895250.6690000.0000000.075650-6.2987500.059100102.9612504.000000
50%2016.000000218509.00000013.0000000.7610000.2205000.7845000.0000040.103500-4.5585000.097950112.7145004.000000
75%2017.000000242098.50000031.0000000.8295000.4030000.8757500.0002340.164000-3.3310000.177000125.0392504.000000
max2020.000000511738.00000073.0000000.9660000.9540000.9950000.9100000.8110000.5820000.514000206.0070005.000000
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" + ], + "text/plain": [ + " release_date length popularity danceability acousticness \\\n", + "count 530.000000 530.000000 530.000000 530.000000 530.000000 \n", + "mean 2015.390566 222298.169811 17.507547 0.741619 0.265412 \n", + "std 3.131688 39696.822259 18.992212 0.117522 0.208342 \n", + "min 1998.000000 89488.000000 0.000000 0.255000 0.000665 \n", + "25% 2014.000000 199305.000000 0.000000 0.681000 0.089525 \n", + "50% 2016.000000 218509.000000 13.000000 0.761000 0.220500 \n", + "75% 2017.000000 242098.500000 31.000000 0.829500 0.403000 \n", + "max 2020.000000 511738.000000 73.000000 0.966000 0.954000 \n", + "\n", + " energy instrumentalness liveness loudness speechiness \\\n", + "count 530.000000 530.000000 530.000000 530.000000 530.000000 \n", + "mean 0.760623 0.016305 0.147308 -4.953011 0.130748 \n", + "std 0.148533 0.090321 0.123588 2.464186 0.092939 \n", + "min 0.111000 0.000000 0.028300 -19.362000 0.027800 \n", + "25% 0.669000 0.000000 0.075650 -6.298750 0.059100 \n", + "50% 0.784500 0.000004 0.103500 -4.558500 0.097950 \n", + "75% 0.875750 0.000234 0.164000 -3.331000 0.177000 \n", + "max 0.995000 0.910000 0.811000 0.582000 0.514000 \n", + "\n", + " tempo time_signature \n", + "count 530.000000 530.000000 \n", + "mean 116.487864 3.986792 \n", + "std 23.518601 0.333701 \n", + "min 61.695000 3.000000 \n", + "25% 102.961250 4.000000 \n", + "50% 112.714500 4.000000 \n", + "75% 125.039250 4.000000 \n", + "max 206.007000 5.000000 " + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "让我们来研究这些类型。有相当一部分被列为“缺失”，这意味着它们在数据集中没有被归类为某种类型。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top[:5].index,y=top[:5].values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "删除“缺失”类型，因为它未在 Spotify 中分类\n", + "\n", + "## 音乐类型分类\n", + "\n", + "在处理音乐类型时，确保以下几点：\n", + "\n", + "1. **准确性**：尽量使用 Spotify 提供的官方类型名称。\n", + "2. **一致性**：避免使用不一致或模糊的类型标签。\n", + "3. **清晰性**：确保类型标签易于理解，并能准确反映音乐的风格。\n", + "\n", + "### 常见问题\n", + "\n", + "#### 为什么要删除“缺失”类型？\n", + "“缺失”类型并不是 Spotify 官方分类的一部分，因此保留它可能会导致数据不准确或混乱。通过删除这一类型，可以确保分类的准确性和一致性。\n", + "\n", + "#### 如何处理未分类的音乐？\n", + "对于未分类的音乐，可以尝试以下方法：\n", + "- 使用更广泛的类型标签，例如“流行”或“电子”。\n", + "- 如果无法确定类型，可以暂时标记为“待分类”，并在后续进行更新。\n", + "\n", + "### 示例\n", + "\n", + "以下是一些常见类型的示例：\n", + "\n", + "- 流行\n", + "- 摇滚\n", + "- 电子\n", + "- 嘻哈\n", + "- 古典\n", + "\n", + "通过删除“缺失”类型并使用更准确的标签，可以提高音乐分类的质量和用户体验。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df = df[df['artist_top_genre'] != 'Missing']\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n", + "df = df[(df['popularity'] > 0)]\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "数据之间没有强相关性，除了能量和响度之间的相关性，这很合理。流行度与发行数据有对应关系，这也很合理，因为较新的歌曲可能更受欢迎。长度和能量似乎有相关性——也许较短的歌曲更有活力？\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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k/rLi2kNX/X3drkOY0qVrXd91CFP65g5v6TqEST31grd3HcKU3v+gQ7sOYUo7585dhzClW3reFe2S1W7sOoQpbV5rdR3ClM6qa7sOYUq/Wb3/7+Oat6zTdQiT2q3rAFrlPK6SJElSf1lxlSRJGhr7uEqSJEn9ZcVVkiRpaJzHVZIkSeovK66SJElDYx9XSZIkqb+suEqSJA2N87hKkiRJ/WXFVZIkaWhmaR9XE1dJkqShcTosSZIkqb+suEqSJA3NLO0qYMVVkiRJg2DFVZIkaWDK6bD6I8lhSf6jb+dPcs8kx7bbj07y7XZ77yQHt9tPTbLdHRuxJEnSzGfFdTlU1ZXAvhO0Hw8c3959KvBt4OI7LjJJkjSr2Me1W0kOSfLLJD8B7t+2vSTJWUnOT/K1JOu07Ucm+VCSnya5PMm+I8d5Y5IL2ucc0bZtleTEJGcn+XGSbdr2pyT5WZJzk/xPkruNhLRjktOTXJrkJe3+WyS5cILYD0jykSQPA/YG3pvkvPa854zst/XofUmSJC27XlRckzwIeDYwlyamc4Czga9X1Sfbfd4BvAj4cPu0ewC7A9vQVDuPTfLPwD7AQ6rqhiR3afedB7ysqi5N8hDgY8BjgZ8Au1VVJXkx8Abg39vnPBDYDVgXODfJd6Z6HVX10yTHA9+uqrEuBdcmmVtV5wH/Cnx2Rd4jSZKk28zSimsvElfgEcA3quoGgDb5A9i+TVg3AtYDThp5zjerahFw8UildA/gs2PHqaq/JFkPeBhwTJKx567Vfr0XcHSSewBrAr8aOf5xVfUP4B9JfgjsCpy3Aq/tU8C/Jnk9sF97nCUkORA4EOC16z+IJ99pqxU4lSRJ0szVm64CS3Ek8G9VtQPwNmDtkcduGtkOS7cacE1VzR25bds+9mHgI+3xXzru+OM/yqzoR5uvAf8MPBk4u6r+PNFOVTWvqnapql1MWiVJ0qRq0fTeeqovieupwFOT3CnJ+sBT2vb1gd8nWQPYfxmO8z2a6uZYX9i7VNXfgF8leWbbliQ7tvtvCPyu3X7BuGPtk2TtJP8EPBo4axlfy3Vt3ABU1Y00leKPYzcBSZKkFdaLxLWqzgGOBs4HvsvtSeJbgJ8BpwGXLMNxTqTp7zo/yXnA2JRW+wMvSnI+cBFNP1iAw2i6EJwN/Gnc4RYAPwTOAN7eziiwLL4CHNQO+BornR4FLAJOXsZjSJIkLd2imt5bT/WljytV9U7gnRM89PEJ9j1g3P31RraPAI4Y9/ivgL0mOM5xwHETtB+2lBivALZvt08BTmm3j6Tp1kBVnQaMn8d1d5q+twsnOq4kSZKm1pvEdaZK8g1gK5pZDCRJklZa9bgqOp1MXKdZVT2t6xgkSZJmAhNXSZKkoZmlFddeDM6SJEmSpmLiKkmSNDSLFk3vbRkk2SvJL5JcluTgSfZ7RpJKssvKvmwTV0mSJC2XJHOAj9IssrQd8Jwk42dVop2f/zU005uuNBNXSZKkoel+Htddgcuq6vKquplmHvt9Jtjv7cC7gRtXxcs2cZUkSRqa7hPXTYHfjNz/bdt2myQ7A5tV1XdW1cs2cZUkSdJikhyYZP7I7cDlfP5qwH8B/74q43I6LEmSpIGpmt7psKpqHjBvkl1+B2w2cv9ebduY9WlWGz0lCcDdgeOT7F1V81c0LiuukiRJWl5nAVsn2TLJmsCzgePHHqyqa6tq46raoqq2AM4AVippBSuukiRJw9PxAgRVdWuSfwNOAuYAn6mqi5IcDsyvquMnP8KKMXGVJEnScquqE4ATxrUdupR9H70qzmniKkmSNDQu+SpJkiT1lxVXSZKkgalZWnE1ce2hNbJsawR36eFs2HUIU/pzz3+63/+gCbsB9cq/n3141yFM6SE7PL/rEKb0+LU2m3qnDj38lrW7DmFKp62xShbdmVbPvaX/fxdPXfOWrkOY0mVr9P9/oLrT83/tkiRJWsIsrbjax1WSJEmDYMVVkiRpaGZpjworrpIkSRoEK66SJEkDM1tnFbDiKkmSpEGw4ipJkjQ0VlwlSZKk/rLiKkmSNDTOKiBJkiT1lxVXSZKkgXFWAUmSJKnHrLhKkiQNzSzt42riKkmSNDB2FZAkSZJ6bFYlrklem2SdkfsnJNmow5AkSZKW36JpvvXUrEpcgdcCtyWuVfXEqrqms2gkSZK0zDpNXJN8M8nZSS5KcmDbtleSc5Kcn+T7bdtd2n0XJDkjyQPb9sOS/MfI8S5MskWSdZN8pz3GhUn2S/Jq4J7AD5P8sN3/iiQbt9vPb49/fpIvtG1HJvlQkp8muTzJviPnOijJWe1z3ta2LXHetv2IJBe3+77vjnhvJUnSzFWLpvfWV10PznphVf0lyZ2As5IcB3wSeGRV/SrJXdr93gacW1VPTfJY4PPA3EmOuxdwZVU9CSDJhlV1bZLXA4+pqj+N7pzkAcCbgYdV1Z9GzgtwD2B3YBvgeODYJHsCWwO7AgGOT/JIYJPx503yT8DTgG2qquyaIEmStGK67irw6iTnA2cAmwEHAqdW1a8Aquov7X67A19o234A/FOSDSY57gXA45O8O8kjquraKeJ4LHDMWEI7cl6Ab1bVoqq6GLhb27ZnezsXOIcmqd16Kee9FrgR+HSSpwM3TBRAkgOTzE8y//gbLp8iXEmSNKvZx/WOleTRwB7AQ6tqR5ok8LzlPMytLP4a1gaoql8CO9Mkku9IcuhKhHrTyHZGvr6rqua2t/tW1acnOm9V3UpTmT0WeDJw4kQnqap5VbVLVe2y9zr3WYlwJUmSZqYuK64bAn+tqhuSbAPsRpN4PjLJltD0bW33/TGwf9v2aOBPVfU34AqaRJEkOwNjz7sncENVfRF479g+wHXA+hPE8gPgme1lfcZ1FZjIScALk6zX7r9pkrtOdN52nw2r6gTgdcCOy/b2SJIkTcw+rne8E4GXJfk58Aua7gJ/pOku8PUkqwFXA48HDgM+k2QBzaX2F7TH+Brw/CQXAT8Dftm27wC8N8ki4Bbg5W37PODEJFdW1WPGAqmqi5K8E/hRkoU01d8DlhZ4VZ2cZFvg9CQA1wPPA+47wXnXB45LsjZNpfb1K/BeSZIkzXqdJa5VdRPwz0t5+Lvj9v0L8NQJjvEPmr6m411BUxUdv/+HgQ+P3N9iZPtzwOfG7X/AuPvrjWx/EPjguFP870TnpekqIEmStGr0uCo6nboenCVJkiQtk66nw5IkSdJy6nM/1OlkxVWSJEmDYMVVkiRpYKy4SpIkST1mxVWSJGlgrLhKkiRJPWbFVZIkaWgqU+8zA1lxlSRJ0iBYcZUkSRqY2drH1cRVkiRpYGqRXQUkSZKk3rLiKkmSNDCztauAFVdJkiQNghVXSZKkgSmnw5IkSZL6y4prD/37ald1HcKUPr/Wel2HMKXX3lhdhzCpnXPnrkOY0kN2eH7XIUzpZxd8vusQpvT1Hd7SdQiTunKNriOY2ke/8/KuQ5jSB5/42a5DmNITb5zTdQhTWrDW7KwkLi/7uEqSJEk9ZsVVkiRpYJzHVZIkSeoxK66SJEkDU/0exjFtrLhKkiRpEKy4SpIkDYx9XCVJkqQes+IqSZI0MFZcJUmSpB6z4ipJkjQwziogSZIk9ZgVV0mSpIGxj6skSZLUY1ZcJUmSBqZqdlZcTVwlSZIGphZ1HUE37CqwCiTxA4AkSdI0m5WJa5LnJTkzyXlJPpFkTpLrk7wzyflJzkhyt3bfTZJ8LclZ7e3hbfthSb6Q5DTgC+1+30tyUZJPJfl1ko2THJ7ktSPnfmeS13TzyiVJ0kywqDKtt76adYlrkm2B/YCHV9VcYCGwP7AucEZV7QicCrykfcoHgf+uqgcDzwA+NXK47YA9quo5wFuBH1TVA4Bjgc3bfT4DPL8992rAs4EvTtsLlCRJmqFm4yXuxwEPAs5KAnAn4GrgZuDb7T5nA49vt/cAtmv3BdggyXrt9vFV9Y92e3fgaQBVdWKSv7bbVyT5c5KdgLsB51bVn6frxUmSpJnPwVmzR4DPVdWbFmtM/qPqtnUoFnL7e7MasFtV3Thuf4C/L+M5PwUcANydpgK7ZFDJgcCBAPfe8L5sss49lvHQkiRJs8Os6yoAfB/YN8ldAZLcJcm9J9n/ZOBVY3eSzF3KfqcBz2r32RO488hj3wD2Ah4MnDTRk6tqXlXtUlW7mLRKkqTJ1KJM662vZl3iWlUXA28GTk6yAPgeMFmm+GpglyQLklwMvGwp+70N2DPJhcAzgT8A17XnvBn4IfDVqlq4al6JJEnS7DIbuwpQVUcDR49rXm/k8WNpBlhRVX+iGcw1/hiHjWu6FnhCVd2a5KHAg6vqJrhtUNZuNAmtJEnSSrmtc+MsMysT12myOfDVNkm9mXZWgiTb0Qz6+kZVXdphfJIkSYNm4rqKtEnpThO0Xwzc546PSJIkzVR96IeaZC+aaUPnAJ+qqiPGPf564MXArcAfgRdW1a9X5pyzro+rJEmSVk6SOcBHgX+mmdf+Oe1V5lHnArtU1QNpumC+Z2XPa8VVkiRpYHqwutWuwGVVdTlAkq8A+wAXj+1QVT8c2f8M4Hkre1IrrpIkSVpemwK/Gbn/27ZtaV4EfHdlT2rFVZIkaWCme+Ws0YWRWvOqat4KHut5wC7Ao1Y2LhNXSZIkLaZNUidLVH8HbDZy/15t22KS7AEcAjxqbJrQlWHiKkmSNDA9mMf1LGDrJFvSJKzPBp47ukOSnYBPAHtV1dWr4qT2cZUkSdJyqapbgX+jWcr+5zSrg16U5PAke7e7vZdmgadjkpyX5PiVPa8VV0mSpIHpwawCVNUJwAnj2g4d2d5jVZ/TiqskSZIGwYqrJEnSwEz3rAJ9ZeIqSZI0MD0YnNUJuwpIkiRpEKy4SpIkDUwfBmd1wYqrJEmSBsGKaw+9aM7mXYcwpQ/cstKLX0y7J2atrkOY1C2Luo5gao9fa7Opd+rY13d4S9chTOnpF7y96xAm9dUHHjr1Th37ryd+tusQpvSP9L/T4W/WmNN1CFPaYAB/G/tgtg7OsuIqSZKkQbDiKkmSNDD2cZUkSZJ6zIqrJEnSwPS/R/X0sOIqSZKkQbDiKkmSNDD2cZUkSZJ6zIqrJEnSwDiPqyRJktRjVlwlSZIGZrYuMGbFVZIkSYNgxVWSJGlgCvu4SpIkSb1lxVWSJGlgFs3SpbOsuEqSJGkQpkxck/x0RQ6c5KlJtluR506HJBslecUy7nv9dMcjSZK0ohaRab311ZSJa1U9bAWP/VRgwsQ1SRddFDYClilxlSRJUv8sS8X1+vbro5OckuTYJJckOSpJ2seOSHJxkgVJ3pfkYcDewHuTnJdkq/a5H0gyH3hNkiOT7LuU8/woyXFJLm+PvX+SM5NckGSrdr9NknwtyVnt7eFt+2FJPtOe7/Ikr25PcQSwVRvPe5Osl+T7Sc5pj7vPBK99stf8oDbOs5OclOQebfurR96Lr7Rtj2rPe16Sc5Osv4LfL0mSJIpM662vlrfyuRPwAOBK4DTg4Ul+DjwN2KaqKslGVXVNkuOBb1fVsQBtvrdmVe3S3j9ykvPsCGwL/AW4HPhUVe2a5DXAq4DXAh8E/ruqfpJkc+Ck9jkA2wCPAdYHfpHk48DBwPZVNbc9/+rA06rqb0k2Bs5IcnxVje/uPNFr/hnwYWCfqvpjkv2AdwIvbM+zZVXdlGSj9hj/Abyyqk5Lsh5w49RvtSRJ0sRm6wIEy5u4nllVvwVIch6wBXAGTSL26STfBr49yfOPXsbznFVVv2/P87/AyW37BTQJKcAewHZtQgywQZsUAnynqm4CbkpyNXC3Cc4R4D+TPJLm+79pu98fxu030Wu+Btge+F57/jnA79v9FwBHJfkm8M227TTgv5IcBXx97HiSJEladss7q8BNI9sLgdWr6lZgV+BY4MnAiZM8/+8j27eOnT/JasCaSznPopH7i7g92V4N2K2q5ra3Tavq+gmev5CJE/T9gU2AB7VV2KuAtSfYb6JjBbho5Nw7VNWe7T5PAj4K7AyclWT1qjoCeDFwJ+C0JNuMP0mSA5PMTzL/x9dfOkEYkiRJjdnaVWClp8Nqq5wbVtUJwOtoLvMDXEdzqX5prgAe1G7vDayxnKc+mabbwFgcc6fYf3w8GwJXV9UtSR4D3Hs5zv0LYJMkD23PvUaSB7QJ+GZV9UPgje051kuyVVVdUFXvBs6i6cqwmKqaV1W7VNUuj1hv6+UIRZIkaXZYFaP71weOS7I2TSXy9W37V4BPtoOj9p3geZ9sn3c+TZX27xPsM5lXAx9NsoDmdZwKvGxpO1fVn5OcluRC4LvAu4FvJbkAmA9csqwnrqqb24FlH0qyYXv+DwC/BL7YtgX4UNvf9+1tcrwIuKg9vyRJ0gqZrX1cs+RYJHXt/232vN5/U86dc9PUO3Vsu0VrdR3CpG7pOoBl8MfVFnYdwpR2vqn/66g8/YK3dx3CpL76wEO7DmFK/7e81+Q68I/0/k83d1/Y30vAY/r+V+dVv/liL97EE+/27Gn9gdvrqq/04nWO55KvkiRJAzNbK679L1VIkiRJWHGVJEkanD6P/J9OVlwlSZI0CFZcJUmSBmbR7Cy4WnGVJEnSMFhxlSRJGphF9nGVJEmS+suKqyRJ0sD0f7mL6WHFVZIkSYNgxVWSJGlgXDlLkiRJ6jErrpIkSQOzKM4qIEmSJPWWFVdJkqSBma2zCpi4SpIkDcxsHZxl4tpDV87p/+eoHRau1XUIU1rY8+4/l6x2Y9chTOnht6zddQhTunKNriOY2lcfeGjXIUzqWQsO7zqEKR2yyyFdhzClHW+e03UIU7pijf7/f7l73/94q1MmrpIkSQOzaJbm9w7OkiRJ0iBYcZUkSRqYRczOkqsVV0mSJA2CFVdJkqSB6f8wu+lhxVWSJEmDYMVVkiRpYJxVQJIkSeoxK66SJEkDM1tXzrLiKkmSpEGw4ipJkjQwziogSZIk9ZgVV0mSpIFxVgFJkiSpx6y4SpIkDYyzCswwSa5vv94zybFdxyNJkqSVM+MrrlV1JbBv13FIkiStKlZcZ6gkWyS5sN0+I8kDRh47JckuSdZN8pkkZyY5N8k+7eMHJPl6khOTXJrkPSPP3TPJ6UnOSXJMkvXa9iOSXJxkQZL3tW3PTHJhkvOTnHrHvgOSJEkzw4yvuI5zNPAs4K1J7gHco6rmJ/lP4AdV9cIkGwFnJvmf9jlzgZ2Am4BfJPkw8A/gzcAeVfX3JG8EXp/ko8DTgG2qqtpjARwKPKGqfjfSJkmStELKWQVmha9ye7eBZwFjfV/3BA5Och5wCrA2sHn72Per6tqquhG4GLg3sBuwHXBa+5wXtO3XAjcCn07ydOCG9hinAUcmeQkwZ6LAkhyYZH6S+edcd9mqebWSJGlGWjTNt76aVYlrVf0O+HOSBwL70VRgAQI8o6rmtrfNq+rn7WM3jRxiIU2VOsD3RvbfrqpeVFW3ArvSJMRPBk5sz/symgrtZsDZSf5pgtjmVdUuVbXLzuvfd5W/dkmSpKGbVYlr62jgDcCGVbWgbTsJeFWSACTZaYpjnAE8PMl92/3XTXK/tp/rhlV1AvA6YMf28a2q6mdVdSjwR5oEVpIkaYX0oeKaZK8kv0hyWZKDJ3h8rSRHt4//LMkWK/hybzMbE9djgWfTdBsY83ZgDWBBkova+0tVVX8EDgC+nGQBcDqwDbA+8O227SfA69unvDfJBe0gsZ8C56+6lyNJknTHSjIH+CjwzzTdJ5+TZLtxu70I+GtV3Rf4b+DdK3veGTs4q6rWa79eAWw/0n4V4153Vf0DeOkExzgSOHLk/pNHtn8APHiCU+86wXGevpzhS5IkLVV1HUCT71xWVZcDJPkKsA/NeKAx+wCHtdvHAh9Jkqpa4fBnY8VVkiRJkxgdNN7eDhy3y6bAb0bu/7Ztm3CfdhzQtcAS43yWx4ytuEqSJM1Ui6Z5OqyqmgfMm96zLD8rrpIkSVpev2Pxweb3atsm3CfJ6sCGwJ9X5qQmrpIkSQPTg1kFzgK2TrJlkjVpBr4fP26f42nmuodmHv0frEz/VrCrgCRJkpZTVd2a5N9ophSdA3ymqi5Kcjgwv6qOBz4NfCHJZcBfaJLblWLiKkmSNDB9WN2qnbf+hHFth45s3wg8c1We064CkiRJGgQrrpIkSQPTg3lcO2HFVZIkSYNgxVWSJGlgpnse176y4ipJkqRBsOIqSZI0MH2YVaALVlwlSZI0CFZcJUmSBsZZBSRJkqQes+IqSZI0MItmac3VxLWHruLmrkOY0hNu6f8vzNFrz+k6hEltXmt1HcKUTlvjxq5DmNJHv/PyrkOY0n898bNdhzCpQ3Y5pOsQpvTO+e/sOoQpHfGgt3QdwpTm3tT/IT2Xrdnvv9190f/v5PSwq4AkSZIGwYqrJEnSwPT/uuf0sOIqSZKkQbDiKkmSNDD2cZUkSZJ6zIqrJEnSwCxK1xF0w4qrJEmSBsGKqyRJ0sDM1gUIrLhKkiRpEKy4SpIkDczsrLdacZUkSdJAWHGVJEkaGOdxlSRJknrMiqskSdLAOKuAJEmS1GMzJnFNcv0qOs6jk3x7VRxLkiRpOtQ03/pqxiSukiRJmtlmXOKaxnuTXJjkgiT7te2LVVKTfCTJAe32XkkuSXIO8PSRfQ5L8pkkpyS5PMmrRx57XpIzk5yX5BNJ5rS3I0fO/bp231cnuTjJgiRfuaPeC0mSNDMtmuZbX83EwVlPB+YCOwIbA2clOXVpOydZG/gk8FjgMuDocbtsAzwGWB/4RZKPA/cF9gMeXlW3JPkYsD9wEbBpVW3fHnuj9hgHA1tW1U0jbZIkSVoOM67iCuwOfLmqFlbVVcCPgAdPsv82wK+q6tKqKuCL4x7/TlXdVFV/Aq4G7gY8DngQTVJ8Xnv/PsDlwH2SfDjJXsDf2mMsAI5K8jzg1omCSHJgkvlJ5v/8ustX4GVLkqTZYhE1rbe+momJ69LcyuKvd+1lfN5NI9sLaarUAT5XVXPb2/2r6rCq+itNpfcU4GXAp9rnPQn4KLAzTbK7RKW7quZV1S5Vtcu2699neV6XJEnSrDATE9cfA/u1/U03AR4JnAn8GtguyVrt5frHtftfAmyRZKv2/nOW4RzfB/ZNcleAJHdJcu8kGwOrVdXXgDcDOydZDdisqn4IvBHYEFhvlbxSSZI0K83WWQVmYh/XbwAPBc6nee/fUFV/AEjyVeBC4FfAuQBVdWOSA4HvJLmBJvFdf7ITVNXFSd4MnNwmprcArwT+AXy2bQN4EzAH+GKSDWkqtR+qqmtW4euVJEmzTJ8HUE2nGZO4VtV67dcCDmpv4/d5A/CGCdpPpOnrOr79sHH3tx/ZPpolB3JB0x1gvN0nj16SJElTmTGJqyRJ0mxRvb6gP31mYh9XSZIkzUBWXCVJkgZmtvZxteIqSZKkQbDiKkmSNDB9XiRgOllxlSRJ0iBYcZUkSRqY2VlvteIqSZKkgbDiKkmSNDD2cZUkSZJ6zIqrJEnSwDiPqyRJktRjVlwlSZIGpuzjKkmSJPWXFVdJkqSBsY+rJEmS1GNWXHvoXrVm1yEsg5u6DmBKGzCn6xAmdVZd23UIU3ruLRt2HcKUPvjEz3YdwpT+kX73Rdvx5n7/rgAc8aC3dB3ClA4+++1dhzClo3Y8tOsQprTebC0lLif7uEqSJEk9ZsVVkiRpYGZrYdrEVZIkaWAWlV0FJEmSpN6y4ipJkjQws7PeasVVkiRJA2HFVZIkaWAWzdKaqxVXSZIkDYIVV0mSpIFxAQJJkiSpx6y4SpIkDcxsXYDAiqskSZIGwYqrJEnSwDirgCRJktRjVlwlSZIGxlkFZpkkVyTZeIL2vZMc3EVMkiRJWrpZm7guTVUdX1VHdB2HJEnS0iya5tvKSHKXJN9Lcmn79c4T7DM3yelJLkqyIMl+y3LsXiSuSdZN8p0k5ye5MMl+bUX0PUkuSHJmkvu2+26S5GtJzmpvDx85xmfafc9Nsk/bPifJ+9rjLkjyqpFTvyrJOe05tmn3PyDJR9rtI5N8KMlPk1yeZN+RmA9qz78gyduW9jra9iOSXNzu+7475E2VJEnqxsHA96tqa+D77f3xbgCeX1UPAPYCPpBko6kO3Jc+rnsBV1bVkwCSbAi8G7i2qnZI8nzgA8CTgQ8C/11VP0myOXASsC1wCPCDqnph+8LPTPI/wPOBLYC5VXVrkruMnPdPVbVzklcA/wG8eILY7gHsDmwDHA8cm2RPYGtgVyDA8UkeCWwy/nUk+SfgacA2VVXL8k2RJEmaTFWv+7juAzy63f4ccArwxtEdquqXI9tXJrmaJo+6ZrID96LiClwAPD7Ju5M8oqqubdu/PPL1oe32HsBHkpxHk0hukGQ9YE/g4Lb9FGBtYPN2/09U1a0AVfWXkfN+vf16Nk1yO5FvVtWiqroYuFvbtmd7Oxc4hyap3Xopr+Na4Ebg00meTvMJYwlJDkwyP8n8+ddftvR3SpIkqd/uVlW/b7f/wO3504SS7AqsCfzvVAfuRcW1qn6ZZGfgicA7knx/7KHR3dqvqwG7VdWNo8dIEuAZVfWLce2Tnfqm9utClv5e3DSynZGv76qqT4zfefzrqKrD22/I44B9gX8DHjv+eVU1D5gH8PZ779/rj1GSJKlb0z2Pa5IDgQNHmua1ucrY4/8D3H2Cpx4yeqe92rzUYJPcA/gC8IKqmrJ7bS8qrknuCdxQVV8E3gvs3D6038jX09vtk4FXjTx3brt5Ek2f1bTtO7Xt3wNemmT1tn20q8CKOgl4YVvpJcmmSe460eto99mwqk4AXgfsuArOL0mSNG2qal5V7TJymzfu8T2qavsJbscBV7UJ6VhievVE50iyAfAd4JCqOmNZ4upFxRXYAXhvkkXALcDLgWOBOydZQFP1fE6776uBj7btqwOnAi8D3k7TD3ZBktWAX9H0if0UcL+2/Rbgk8BHVibYqjo5ybbA6W2efD3wPOC+E7yO9YHjkqxNU6l9/cqcW5IkaWVH/k+z44EXAEe0X48bv0OSNYFvAJ+vqmOX9cC9SFyr6iSaKuZt2oTwvVU1vjPvn7i9Ejva/g/gpRO030qTLL5+XPsWI9vzaTsRV9WRwJHt9gHjnrPeyPYHaQaKjfrf8a+jtesEbZIkSSuk5wsQHAF8NcmLgF8DzwJIsgvwsqp6cdv2SOCfkhzQPu+AqjpvsgP3InGVJEnSzFBVf6YZ2zO+fT7tDE5tt8ovLu+xe5u4jlZEJUmSdLvpHpzVV70YnCVJkiRNpbcVV0mSJE2s5wsQTBsrrpIkSRoEK66SJEkD0/PpsKaNFVdJkiQNghVXSZKkgen5PK7TxoqrJEmSBsGKqyRJ0sA4j6skSZLUY1ZcJUmSBsZ5XCVJkqQes+IqSZI0MPZxlSRJknrMimsP3XVhug5hSqevuXbXIUxps1u7jmByv1l9ra5DmNKpa97SdQhTeuKNc7oOYUq/WaPfMV6xRv8rN3Nv6v86QUfteGjXIUxp//MP7zqEKX19h7d0HcIgOI+rJEmS1GNWXCVJkgZmkbMKSJIkSf1lxVWSJGlgZme91cRVkiRpcJwOS5IkSeoxK66SJEkDY8VVkiRJ6jErrpIkSQNTToclSZIk9ZcVV0mSpIGxj6skSZLUY1ZcJUmSBqasuEqSJEn9ZcVVkiRpYJxVYJZJslGSV3QdhyRJkpbNrE1cgY0AE1dJkjQ4i6hpvfXVbE5cjwC2SnJekvcmOSjJWUkWJHkbQJItklyS5Mgkv0xyVJI9kpyW5NIku7b7HZbkC0lOb9tf0ranPfaFSS5Isl+Hr1eSJGnQZnMf14OB7atqbpI9gX2BXYEAxyd5JPB/wH2BZwIvBM4CngvsDuwN/H/AU9vjPRDYDVgXODfJd4CHAnOBHYGNgbOSnFpVv78jXqAkSZqZ7OM6u+3Z3s4FzgG2AbZuH/tVVV1QVYuAi4DvV/PTcgGwxcgxjquqf1TVn4Af0iTBuwNfrqqFVXUV8CPgwXfEC5IkSZppZnPFdVSAd1XVJxZrTLYAbhppWjRyfxGLv3/jP/os10ehJAcCBwLsv9GuPGLdrad4hiRJmq363A91Os3miut1wPrt9knAC5OsB5Bk0yR3Xc7j7ZNk7ST/BDyaplvBj4H9ksxJsgnwSODMiZ5cVfOqapeq2sWkVZIkaUmztuJaVX9uB1ldCHwX+BJwehKA64HnAQuX45ALaLoIbAy8vaquTPINmn6u59NUYN9QVX9YhS9DkiTNQrN15axZm7gCVNVzxzV9cILdth/Z/4CR7StGHwMWVNXzxx2/gIPamyRJklbCrE5cJUmShmjRLJ1VwMR1Faiqw7qOQZIkaaYzcZUkSRoY+7hKkiRpEGZrV4HZPB2WJEmSBsSKqyRJ0sDM1q4CVlwlSZI0CFZcJUmSBsY+rpIkSVKPWXGVJEkaGPu4SpIkST1mxVWSJGlg7OMqSZIk9ZgVV0mSpIGxj6skSZLUY1ZcJUmSBqZqUdchdMLEtYd+t3r/y/9b3pKuQ5jStnVD1yFMas1b1uk6hCldtkb//zAuWKv/P4sb9PxtvPvC/r+Hl605p+sQprRez7/PAF/f4S1dhzClp1/w9q5DUI+ZuEqSJA3MIvu4SpIkSf1lxVWSJGlgynlcJUmSpP6y4ipJkjQw9nGVJEmSesyKqyRJ0sDM1j6uJq6SJEkDs2iWJq52FZAkSdIgWHGVJEkamHJwliRJktRfVlwlSZIGZrYOzrLiKkmSpEEwcZUkSRqYRdS03lZGkrsk+V6SS9uvd55k3w2S/DbJR5bl2CaukiRJWpUOBr5fVVsD32/vL83bgVOX9cAmrpIkSQNTVdN6W0n7AJ9rtz8HPHWinZI8CLgbcPKyHniVJ65JNkryinb7nkmOXdXnmOL8uyT50DQc96lJtlvVx5UkSZph7lZVv2+3/0CTnC4myWrA+4H/WJ4DT8esAhsBrwA+VlVXAvtOwzmWqqrmA/On4dBPBb4NXLysT0iyelXdOg2xSJKkWWy6V85KciBw4EjTvKqaN/L4/wB3n+Cph4zeqapKMlGwrwBOqKrfJlnmuKYjcT0C2CrJecClwLZVtX2SA2iSv3WBrYH3AWsC/wLcBDyxqv6SZCvgo8AmwA3AS6rqkolOlOSZwFuBhcC1VfXIJI8G/qOqnpxkE+BLwD2B04HHAw8C1gO+C/wEeBjwO2CfqvpHkpfQfKPWBC5r45sL7A08KsmbgWcAn27PMz/JxsD8qtqifZ1Pb88xJ8kTgQ8D2wNrAIdV1XEr/O5KkiRNszZJnTfJ43ss7bEkVyW5R1X9Psk9gKsn2O2hwCPaq/TrAWsmub6qJusPOy19XA8G/req5gIHjXtse5qk7sHAO4EbqmonmqTy+e0+84BXVdWDaMrHH5vkXIcCT6iqHWkSy/HeCvygqh4AHAtsPvLY1sBH28euoUlGAb5eVQ9uj/lz4EVV9VPgeOCgqppbVf87xXuwM7BvVT2K5pPHD6pqV+AxwHuTrDvF8yVJkpaq531cjwde0G6/AFiiYFdV+1fV5lW1BU2+9/mpkla44wdn/bCqrquqPwLXAt9q2y8AtkiyHk0F9Ji2YvsJ4B6THO804Mi2Sjpngsd3B74CUFUnAn8deexXVXVeu302sEW7vX2SHye5ANgfeMByvcLG96rqL+32nsDB7es5BVibxRNooCnJJ5mfZP451122AqeUJEnqhSOAxye5FNijvT82DulTK3PgO3rlrJtGtheN3F/UxrIacE1brZ1SVb0syUOAJwFnt6PTViSWhcCd2u0jgadW1fntZf9HL+X5t3J74r/2uMf+PrId4BlV9YvJghktyR+6xf6zczkMSZK0TFZ2rtXpVFV/Bh43Qft84MUTtB9Jk39NaToqrtcB66/IE6vqb8Cv2r6rpLHj0vZPslVV/ayqDgX+CGw2bpfTgGe1++4JLHUC3BHrA79PsgZNxXXM+Nd1BU1/WZh8ANpJwKvS9jxOstMyxCBJkqRxVnni2mbZpyW5EHjvChxif+BFSc4HLqKZC2xp3pvkgvZcPwXOH/f424A928efSTMlw3VTnP8twM9okt7RQWFfAQ5Kcm47gOx9wMuTnAtsPMnx3k4zKGtBkova+5IkSSus531cp036HNzKSrIWsLCqbk3yUODjy9oNoUtD6Cqw5S3LPnVFV7atG7oOYVI/zzpdhzCly9ZY1HUIU1qn+v+zuMGifse4Tu//4sDfBrBcznr9/3Vhg4X9/2Y//YJ+13fW2Pg+vfiF3mDd+0zrN/Nvf7+8F69zvDu6j+sdbXPgq+0ktzcDL+k4HkmSpJU23fO49tUgEtckh9Bc6h91TFW9c7LnVdWlgH1KJUmSZoBBJK5tgjppkipJkjRbVI9nFZhOg0hcJUmSdLvZ2lVgAN3dJUmSJCuukiRJgzOTZ4WajBVXSZIkDYIVV0mSpIGZrYOzrLhKkiRpEKy4SpIkDYx9XCVJkqQes+IqSZI0MFZcJUmSpB6z4ipJkjQws7PeasVVkiRJA5HZ2kdiNklyYFXN6zqOyRjjqmGMK6/v8YExrip9j7Hv8YEx6o5nxXV2OLDrAJaBMa4axrjy+h4fGOOq0vcY+x4fGKPuYCaukiRJGgQTV0mSJA2CievsMIS+Pca4ahjjyut7fGCMq0rfY+x7fGCMuoM5OEuSJEmDYMVVkiRJg2DiKkmSpEEwcZUkSdIgmLjOcEl2T/Kv7fYmSbbsOqZRSeYkuWeSzcduXcc0KskOXceg6ZfkVUnu3HUck0mybpLV2u37Jdk7yRpdx7U0Se6c5IFdxzGZJKsl2aDrOIYmyd2SPLm93bXreJYmyZ2S3L/rOLRqmbjOYEneCrwReFPbtAbwxe4iWlySVwFXAd8DvtPevt1pUEv6WJIzk7wiyYZdBzNekrOTvLLPSVeS9yTZIMkaSb6f5I9Jntd1XOPcDTgryVeT7JUkXQc0gVOBtZNsCpwM/AtwZKcRjZPklPZ7fRfgHOCTSf6r67hGJflSG+O6wIXAxUkO6jquMX3/fUnyLOBM4JnAs4CfJdm326iWlOQpwHnAie39uUmO7zQorRImrjPb04C9gb8DVNWVwPqdRrS41wD3r6oHVNUO7a1XFZqqegSwP7AZcHb7T+/xHYc1aj/gnjRJ11eSPKGHSdeeVfU34MnAFcB9gd4kCgBV9WZga+DTwAHApUn+M8lWnQa2uFTVDcDTgY9V1TOBB3Qc03gbtt/rpwOfr6qHAHt0HNN427UxPhX4LrAlzYeAvuj778shwIOr6gVV9XxgV+AtHcc0kcNoYrsGoKrOo/lea+BMXGe2m6uZ76ygudTYcTzj/Qa4tusgplJVlwJvpqlePwr4UJJLkjy928igqi6rqkOA+wFfAj4D/DrJ29qqVx+s3n59EnBMVfXye97+rvyhvd0K3Bk4Nsl7Og3sdknyUJoPUt9p2+Z0GM9EVk9yD5pKXN+unoxZo+1i8VTg+Kq6hfZvZE/0/fdltaq6euT+n+lnLnHLBO9dn77PWkGrT72LBuyrST4BbJTkJcALgU91HBNJXt9uXg6ckuQ7wE1jj1dVby4ttn30/pXmn8j3gKdU1TlJ7gmcDny9y/hgsRifCHwNOArYHfgBMLe7yG7z7SSXAP8AXp5kE+DGjmNaTJLXAM8H/kTzO3JQVd3S9im9FHhDl/G1XkvT7ecbVXVRkvsAP+w2pCUcDpwE/KSqzmpjvLTjmMb7BE0l83zg1CT3Bv7WaUSL6/vvy4lJTgK+3N7fDzihw3iW5qIkzwXmJNkaeDXw045j0irgAgQzXHtZe08gwElV9b2OQxrre7s0VVWH32HBTCHJj2gSmWOr6h/jHvuXqvpCN5HdFsPZNJfCPg18rapuGnns61XVeVUYoK3+XltVC5OsA2xQVX/oOq4xSd4GfKaqfj3BY9tW1c87CGup2oR6vfaSslZSktWr6tau4xgzgN+Xp9N8OAb4cVV9o8t4JtK+b4fQ/P+D5gPVO6qqTx8CtAJMXGewJO+uqjdO1daVJM+sqmOmautSktdW1QfGtb2mqj7YUUiLSXKfqrp8XNuWVfWrrmIaL8kzgROr6rokbwZ2pvkHck7Hod1mKd0qrmsvI/dCki8BLwMWAmcBGwAfrKr3dhrYiLZbxTtoqoUnAg8EXldVfRoU+hrgs8B1NB9KdwIOrqqTOw2sNZDfl7sDDwEWAWf1KamGZrYa4H+q6jFdx6JVr4/9UrTqTDSI6J/v8CiW7k3L2Nal50/QdsAdHcQkjl3Gti69pf0nvDvNQJ1PAx/vOKbxzgH+CPyS5tL2H4ErkpyT5EGdRna7vg8qgv4PLAJ4YRvjnjT9mP8FOKLbkBbT69+XJC+mmVXgacC+wBlJXthtVIurqoXAoj7OBKOVZx/XGSjJy4FXAPdJsmDkofWB07qJ6nZJ/pmmP+amST408tAGNINiOpfkOcBzgS3HTaGyPvCXbqK6XZJtaEaUbzhukNgGwNrdRLVUC9uvTwLmVdV3kryjy4Am8D2a7iAnASTZE3gGTWXuYzTVpa6NDir6SNsHt2+XzJYYWNS/SS4YC+iJwBfa/sJ9CrLvvy8HATtV1Z8BkvwTTd/Rz3Qa1ZKuBy5I8j3amXUAqurV3YWkVcHEdWb6Ek1F5l3AwSPt11VV50kXcCUwn2aqrrNH2q8DXtdJREv6KfB7YGPg/SPt1wELJnzGHev+NFWtjYCnjLRfB7yki4Am8bt2kODjgXcnWYv+Xe3Zrapue9+q6uQk76uql7bx9kHfBxVB/wcWQTOt3ck0Fes3JVmf5pJ3X/T99+XPNH9nxlzXtvXN1+nB4FmtevZxnQXSrGxyWxWuqv6vw3Buk2SNPvUhHKIkD62q07uOYzLtIIm9gAuq6tJ2uqQd+tKnEKBNZL4PfKVt2o8mcdiLpg/fzl3FNpm+DSqCJQYWrQus36c+kO3AtrnA5VV1TVsx3LSq+vCBtPe/L0k+D+wAHEczvdQ+NB/mF0C/ZoXRzGTFdQZrVw75L5oJ6q8G7g38nP5MWn7OBJc6r6Wpxr5j7FJUF5L8pKp2T3Idi8/9F5qZDzpdJjLJG6rqPcBz224Ni+nT5bCquiHJ1TSjkC+l6Q7StymSngu8Ffgmzff7tLZtDs2cpJ1LcjfgP4F7VtU/J9kOeChNH8heaJOuVwCbAwfS/O25P/2a07WA7WiuWBwOrEuPutcM4Pflf9vbmOPar31a3IYkv2KCeVur6j4dhKNVyIrrDJbkfOCxNKMrd0ryGOB5VfWijkMDbhuBvJCmawPAs4F1aCaA372qnrK05852SZ5SVd9K8oKJHq+qz93RMS1NO/3ZLjSrpN2vnQP3mKp6eMehAbeNQP58Ve3fdSyTSfJdmj63h1TVjklWB86tqh06Du02SY6m6f7z/Kravk1kf1pVc7uN7HZJPk7TNeCxVbVtmuWST66qB3ccGtD/35ehaCvpY9amWaL2LlV1aEchaRWx4jqz3VJVf06yWpLVquqHST7QdVAj9hh3CfaCJOdU1c7pwdrcbUJzUVVt03Us41XVt9qvvUlQJ/E0mimHzoFm6eG2X2EvtJe0751kzaq6uet4JrFxVX01yZsAqurWJAunetIdbKuq2m/sKkBbPezTwCeAh7R/Y84FqKq/Jlmz66BG9Pr3JckuNPOj3puRHKL6t1z3+Ct2H0gz77WJ68CZuM5s1yRZDzgVOKq9/PT3KZ5zR5qTZNeqOhMgyYO5fQnLzvvttQnNL5Js3pd+wWOSfItJli+sqr3vwHCmcnNV1Vi3kPRv6WFoVnE7rZ1BYnQEcp/66/29rSKNvY+70b8lk29Ociduj3ErRlbF64lb2g+lYzFuQr8GZ/X99+UompkFLqBf79tikowWRVajqWKb88wAfhNntn1oRvS+jmZ98w1p+nT1xYuBz7TJdWhGSL+4/UP9rk4ju92daZYOPJPFE5quE8P3dXz+5THR0sOf7Dim8cb67a1Gz/rqjXg9cDywVZLTgE1o5tHsk7fSLDywWZKjgIfTr3mPAT4EfAO4a5J30ryHb+42pMX0/fflj1V1/NS7dW50NphbgV/Rk/7qWjn2cVXnxiaJrqq+VY9I8qiJ2qvqR3d0LEOWHi49PJEk61TVDV3HsTRtv9b707yPv+jjrBxtVXg3mhjPqKo/dRzSEtp5kB9HE+P3e7ikb29/X5I8DngOzSwct1XTq6pXU09lAKsKasWYuM5AE4yEX0zXI+LHtPMTPgPYgsX7SvWpKtxLSb5aVc9KcgETz3rQq/5mfZdkbHT+elW1eZIdgZdW1Ss6Dm0xSR7Gkr8vn+8soAkk2ZQl+z+e2l1ES2q7CtyNxWPsVXegvkryRWAb4CJu7ypQVdWr1bPGxkuMazu7qvqyEp5WkF0FZqCqWh8gydtpJtH/Ak1Csz9wjw5DG+84mj56Z9O/fnDAbf0IPwxsC6xJ0wf37z1I/l/Tfn1yp1EsgzQre70buCvNz2EvphQb5wPAE2guxVNV5yd5ZKcRjZPkC8BWwHncvrpSAb1JXJO8m2YO3MWSGpp+9r2Q5FU0XRquonkfQxNjLz7sDeD35cFVdf+ug1iaDGtVQa0AE9eZbe+q2nHk/sfbKbL6MqryXlW1V9dBTOEjNNN0HUPTuf/5wP06jQioqt+3X3+d5O7ArjT/fM/q02TvrfcAT+nb5djxquo34wbA923E/i7AdtXvy2RPpZnGqZcfRFuvoYmxj6s9Qf9/X36aZLuqurjrQJZiSKsKagWYuM5sf0+yP81qQEXTL6lPswr8NMkOVXVB14FMpqouSzKnqhYCn22n0XlT13EBJHkxzQeRH9BUZj6c5PCq6tO64Vf1+J/wmN+0l+EryRo0yU3fYr4QuDvNVZS+uhxYg55eQWn9hv7NxjCq778vuwHntRP830TPuidV1XHAcRnAqoJaMSauM9tzgQ+2t9HVgPpid+CAvv4BbN3QzvF4Xrtgwu/p17rhBwE7jVWP2oExPwX6lLjObyem/yb9HczxMprfk02B3wEnA6/sNKIlbQxc3M5wMfo+dj3DxagbaH5Xxg/c6c1KbjTJ9SlJvsPiMfZl6rO+/770/SrZmHOTvJKm28Dokue96our5WfiOoNV1RU0U2JNKMmbqqrLaaf+ucNzL6t/oenX+m8004ptRjOgrC/+THMJbMx1bVufbECT0Ow50lZAX/4R04587/XKWcBhXQewDI5vb332f+1tzfbWN73+fWm7J+0ObF1Vn23nwV2v67gm8AXgEpq+64fT/H73uZKtZeSsArPYRKMuO4hhiT+ATlcytSSvbzfnAjvQDHQrmg8qC6rqgG4iG6b2Z+8lLDli3+rMcmoXINi8qn7RdSxa9YayJG2Sc6tZ6nxBVT2w7QL046rarevYtHKsuM5unS7FOPoHkGYN9jWAL9JMWt6pCaaZWkwPujOMTZI/NnH+mOM6iGVSST4HvKaqrmnv3xl4f8+SwuOAHwP/Q88GZU0yvV3fRpuT5Ck0i2OsCWyZZC5weB+6M/R9tbkkb6iq9yT5MBPE2aPuFr1eknbE2BzH1yTZHvgDzUwNGjgT19mt63J7n/8A9nqaqap6W9cxLIcHjiWtcNva8Dt1GM9E1qmqN3YdxETGprcbiMNoZrg4BaCqzktyny4DGjG22tzTaQa5fbG9/xyaqbG6NnYZe36nUUyt70vSjpnXfkh+C033lfXoz4w6WgkmrrNbpxVXevwHsKp+3XUMy6K9xP0GlhyA8NjOglrSaknuXFV/BUhyF/r3t+fbSZ5YVSd0HchUktyVxb/XfZo4/5aqunbctGK9WM9+bLW7JO+vql1GHvpWks6Txar6Vvv1c13HMoW+L0kLQFV9qt38EdCXD09aBfr2z0N3rGM6Pn/v/wCOu0y7Jk13hj4sQDDmKOBomgrxy4AXAH/sNKIlvR84PckxNB+W9gXe2W1IS3gN8KYkN9NcYuzjZfi9ad7LewJX06xO9XOaDy19cVGS5wJzkmwNvJpmlos+WXd0OdAkWwK9+dCc5H7Af7Bkf+u+fBjdBDgW+BtNN69DgT06jWgCrsw4czk4awZr/wB+HLhbVW2f5IE0ixK8o+PQbtPnNbnHS1NG2gfYraoO7joeuH0Jw7EBCG3bWVX14K5jG5VkO2DsH+8P+jZ5eZLVaEYdb1lVhyfZHLhHVf2s49Bu0y4e8ljgf9pBJ48BnldVL+o4tNskWQc4hNtHxJ8EvKOqbuwuqsUl2QuYRzMtVmg+ALy0qk7qNLBW+33+fzQrCt7W37qqzu4sqBFLWUr1tr8/fZHkRG5fmXH0fXx/Z0FplTBxncGS/Ihmns9PVNVObduFVbV9t5EN29ho1a7jAEhyRlXtluQk4EPAlcCxVbVVx6GRZIOq+lvbNWAJVfWXOzqmpUnycZpL2o+tqm3bvnEn9+kDQJL5VbVLm9jsVFWLkpw/bnW8TiXZuarO6TqOqbTVuG3au5f0aaWvsQ+jXccxXpKXA6+guew+OiB0feC0qnpeJ4Ethf/rZi67Csxs61TVmeP6m93aVTBjBjZKenSt69VoZkHoTfUIeEeSDYF/Bz5MMwfk67oN6TZfounCcDaLf7/H1obvU7+zh1TVzu2qaGMDyPo2x+c1SdYDTgWOSnI1/VoJD+D9aZYgPhY4uqou7Dqg8ZI8f1zTjkmoqs93ElBr5APet5K8AvgGiy9A0PUHvS8B3wXeBYxecbquB7FNZBArM2r5WXGdwZJ8l2bi/GPaf8r7Ai+qqiFM/N8LST47cvdW4Argk1V1dTcRaTok+RnwMOCs9ndlE5qKay8q63Db4MV/0HyA2h/YEPhi35KGNnF9FrAfzQepo3vWPenDI3fXBh4HnFNV+3YUEgBpVhAsJh40W1XVpw96vZfkYuC+QJ9XZtQKMHGdwdppaObR/EP+K80v8PPaFbU0AwykH/P3q+pxU7V1Kcn+NInWzsDnaAaQvbmquh7AeJsk7x4/ZddEbX2RZAeaGS/2q6q+Va9vk2Qj4CtVNZSlTLUMktx7ovahzBijpevTmutaxarq8qrag2YU6DZVtbtJ6/JJcp8k30ryxyRXJzmuR/NSQjMLw5toJ9uuqgXAszuNqJVk7fby58ZJ7pzkLu1tC2DTjsNbTFUdRZNkvQv4PfDUPiWtrcdP0NarqydJtk1yWJoFPD5MM6PAvToOayp/B7bsOogxSV7ZJtNj9+/cdh3Q8rlugtuVnUakVcI+rjNYktfQrEh1HfDJJDsDB1fVyd1GNihfAj5Ks1gCNEnhl4GHdBbR4nrZj7n1UuC1NNM3nc3tl0D/Bnyko5iWqqouoVnbvFdGB8UkWTDy0PrAad1EtVSfoZme7QlV1cskIYuvoDUH2Bb4ancRLeElVfXRsTttf+uXAB/rMKYhOgfYjOZqY4CNgD8kuYrmPe7FLA1afiauM9sLq+qDSZ4A/BPwL8AXABPXZbdOVX1h5P4XkxzUWTRL+lOSrWj/Ebf9mH/fbUiNqvog8MEkr6qqD0/5BC3NYAbFVNVDu45hGbxvZPtW4NdV9duugpnAnCSpth9fkjk0c0hr+XyPZoaVkwCS7Ekzr+tnaT4E9KX4oOVkV4GZbazC9UTg81V1ERN3/NfSfTfJwUm2SHLvJG8AThi77N11cMArgU8A2yT5HU2F8+WdRrSkP6RdyjfJm5N8va3+axlU1bVVdUVVPQf4LU23kALWa+eb7VySr7ZfL0iyYOR2wbgqcefaFbQuoalY3xm4uduIlnAicHSSxyV5HM0VnhM7jmmIdhudm7e90vjQqjoDWKu7sLSyHJw1g7Uj4jel6b+1I81lsVP6OEdgX7UjfZemNyN92xHnq1XVdV3HMt7Y5ORJdgfeAbwXOLSqrHgshyT/BhwGXMXty6j2YpR0kntU1e+HMCAmybNofgZPofkg/wjgoKo6tsu4xqRZDOOlNLMdQFM5/FRVLVz6szRekpOB7wNfaZv2o+knvhft7CFdxaaVY+I6g7V/AOcCl1fVNUn+Cdi0HcCjGSDJfwLvqapr2vt3Bv69qt7caWAjxhZsSPIu4IKq+lJ6tIjDUCS5jGa+2T93HcuQtQs4PH5sSrt26rP/6dlCDncCNq+qX3Qdy1Al2Rh4K7B723Qa8Daa1bQ2r6rLuopNK8fEdYZrE5mtaeYrBKCqTu0uomFJsgbNpfdHtk2n0KxEdktnQY2YKAHMBEsydinJt4Hf0VQ7dqaZi/TMPiUKQ5DkhzQJV18G391mYIuKXFBVO4zcXw04f7StS0n2pqkIr1lVWyaZCxxeVXt3G5nUDw7OmsGSvBh4Dc10NOcBuwGnc/ua8Zrax4E1uH1E77+0bS/uLKLFzUmy1tiSlW2lpm/9t55Fc3nufW3l/x40SxFr+VwOnJLkOyy+otJ/dRfSbTGs33UMy+HENEskf7m9vx9wQofxjPdWYFeaD8lU1XlJejNdV98l+UBVvXbc7BG38QPA8Jm4zmyvAR4MnFFVj0myDfCfHcc0NA8eVxn8QXupsS+OAr6f21f4+leaCfT7ZGNgPsDIYKLeTTs1AP/X3tbEUeYrrKoOSvIM4OFt07yq+kaXMY1zS1VdO26KOy+NLruxWWDeN+leGiwT15ntxqq6MQltVe6SJPfvOqiBWZhkq6r6X7htNbLeDJKoqne3o7bHBnK8fXQkbU98h9uXslybZrDgL4AHdBnU0FTV2wCSrFNVN3Qdz5BV1deAr3Udx1JclOS5NFdTtgZeTbOQg5bB2Pys7ewRwG1d5jZzfMfMYOI6s/22XYHlm8D3kvwV6M3o3oE4CPhhksvb+1vQVDV7o6q+SzPPZy+N7zvYToXlSkDLKclDgU8D6wGbJ9kReGlV+V4ugwH1w30VcAhNd5AvASfRzMah5ZDkFGBvmjznbODqJKdV1es7DUwrzcFZs0SSRwEbAidWVd/mLeytJGsD/05T0bwGOAv476q6scu4xiR5OvBu4K40/4D79k94QuMHyGhqSX4G7AscPzYgL8mFVbV9t5FpOlhZXzkjs5m8mKba+taxqfm6jk0rx4rrDNfOnbl1VX22nfZlU2CyuUm1uM/TLFH69vb+c2n6UD2zs4gW9x7gKVX1864DWZokoxWO1WhmFujlcqB9V1W/Gdf3sTfdVrRqJHkY8CmsrK+s1duBoM+iqWBrhjBxncGSvBXYBbg/zTJ3awBf5PZBCZra9lW13cj9Hya5uLNolnRVn5PW1uiI81tp+rz2tX9hn/2mTWqqnabtNUDfv/dafv8NPAE4HqCqzk/yyMmfogkcTtPN4idVdVY7PuHSjmPSKmDiOrM9DdgJOAegqq4cW3pTy+ycJLu1ywSS5CG0I+R7Yn6So2n6MY9OkfT1ziIaZ2RQ0Xrt/eu7jWiwXgZ8kOaqye+Ak2mW/NUMY2V95VXVMcAxI/cvB54xdj/Jm6rqXV3EppVj4jqz3VxVlaTgtmVBtXweBPw0yf+19zcHfpHkAvqx3OYGwA3AniNtBfQmcU2yPU33iru09/8EvKCqLuw0sIGpqj8B+3cdh6adlfU7xjMBE9cBMnGd2b6a5BPARkleArwQ+GTHMQ3NXl0HMJmq6tUMB0sxD3h9Vf0QIMmj27aHdRjT4LST0L+KZmaL2/52O6H6jDNaWb+S5nK3lfVVL1Pvoj5yVoEZLsnjaapxAU6qqu91HJJWoXbWgxfRzIk6uqzvCzsLapwk549f3nWiNk2uXfji08AFwKKx9tH5KiUtm74tja1lZ8V1hmsTVZPVmesLNKtQPYFmMML+9O+y4uVJ3sLtK9o8j2b5Ui2fG6vqQ10HoenVDiL6IM0S3UWzTPfr2j6aWnWsuA6UFdcZaEATbWsljcxVuKCqHtj2iftxVe3WdWxj2lVr3gbsTvNz+WPgbVX1104DG5h2NaWtaQZljQ7EO6ezoLTKJTkD+Cjw5bbp2cCrquoh3UU18yT5/6rKJdAHyMRVGrAkZ1bVrklOpVmN6g/AmVV1n45D0yqW5F3AvwD/y+1dBaqqHttdVFrVJpok3641yy/J/YCPA3erqu2TPBDYu6pchWzgVus6AE2vJLsn+dd2e+N2gIdmjnltRfPNNPM+XkyzklZvJPleu/Tw2P07Jzmpw5CG6pnAfarqUVX1mPZm0jrzfDfJwUm2SHLvJG8ATkhylyR36Tq4Afkk8CbgFoCqWkBTvdbA2cd1BptgAYI1cQGCGWHcalRjMwt8tP3at2nPNq6qa8buVNVfk9y1w3iG6kJgI+DqjuPQ9HpW+/Wl3N7lKzRJVwFeTVk261TVmePmw721q2C06pi4zmwuQDBzjX0f7w88mHaVHeApwJmdRLR0i5JsXlX/B5BkCybug63JbQRckuQsFu/j6nRYM8sbgROr6m/toMadgbfbl3m5/SnJVrR/a5LsC/y+25C0Kpi4zmwuQDBDjaxGdSqwc1Vd194/jGZJ1T45BPhJkh/RVI4eARzYbUiD9NauA9Ad4s1V9dUkuwOPBd5H01fTwVnL55U080Vvk+R3wK9oZjTRwJm4zlBpro982wUIZry7ATeP3L+5beuNqjoxyS40yeq5NMvT/qPToAbI+VpnjbHlXZ8EfLKqvpPEAUXLqZ0+bI+2YLPa2Id7DZ+J6wzVVlqfCbwe+BvNJeVDXYBgxvk8cGaSb7T3nwoc2Vk0E0jyYpplK+8FnEczP+XpNNUkLaNx09ytCawB/N3p7Wac37UFh8cD706yFg6kXm7tgNDn0640N9bXtape3V1UWhWcDmsGS/I54CNVdVbXsWj6JNmZ5vI7wKlVdW6X8YyX5AKafrhnVNXcJNsA/1lVT+84tMFqr6jsA+xWVQd3HY9WnSTr0Cw1fUFVXZrkHsAOVXVyx6ENSpKfAmew5Epzn+ssKK0SJq4zWJJLgPsCvwb+PtY+fo5AaTolOauqHpzkPOAhVXVTkouq6gFdxzZ0YwtQdB2H1Dcu6Tpz2VVgZntC1wFIwG/by3bfBL6X5K80H6a0HJKMVqhXo5nq7saOwpH67gvt2I5vs/gsHH/pLiStClZcJd1hkjwK2JBmup+bp9pft0vy2ZG7twJX0AzecV5XaZwkrwTeCVzD7X3Dy1UFh8/EVZJ6Lskc4NVV9d9dxyINQZLLgV2r6k9dx6JVy5GKktRzVbUQeE7XcUgDchlwQ9dBaNWzj6skDcNpST4CHM3igy1dUUla0t+B85L8kMX7uDod1sDZVUCSBqD9BzxeVZXz4UrjJHnBRO1OhzV8Jq6SNABJ7tOuBjRpmyTNZCaukjQAE81LmeTsqnpQVzFJfZPkq1X1rHbhk/EJTlXVjl3EpVXHPq6S1GPtSmMPADYcN5frBsDa3UQl9dZr2q8/Bw4aaQ/wnjs+HK1qJq6S1G/3B54MbAQ8ZaT9OuAlXQQk9VVV/b7dvG9VLbbQSfshUANnVwFJGoAkD62q07uOQ+qzJC8HXgHcB/jfkYfWB06rqud1EphWGRNXSRqAJO8B3gH8AzgReCDwuqr6YqeBST2SZEPgzsC7gINHHrrO5V5nBhNXSRqAJOdV1dwkT6PpOvB64FQHm0iaTVw5S5KGYY3265OAY6rq2i6DkaQuODhLkobhW0kuoekq8PIkmwA3dhyTJN2h7CogSQOR5C7AtVW1MMk6wAZV9Yeu45KkO4oVV0kajm2ALZKM/u3+fFfBSNIdzcRVkgYgyReArYDzgIVtc2HiKmkWsauAJA1Akp8D25V/tCXNYs4qIEnDcCFw966DkKQu2VVAkoZhY+DiJGcCN401VtXe3YUkSXcsE1dJGobDug5AkrpmH1dJkiQNghVXSeqxJD+pqt2TXEczi8BtDwFVVRt0FJok3eGsuEqSJGkQnFVAkiRJg2DiKkmSpEEwcZUkSdIgmLhKkiRpEExcJUmSNAj/Px/6v9Jq3TQTAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "corrmat = df.corr()\n", + "f, ax = plt.subplots(figsize=(12, 9))\n", + "sns.heatmap(corrmat, vmax=.8, square=True);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.set_theme(style=\"ticks\")\n", + "\n", + "# Show the joint distribution using kernel density estimation\n", + "g = sns.jointplot(\n", + " data=df,\n", + " x=\"popularity\", y=\"danceability\", hue=\"artist_top_genre\",\n", + " kind=\"kde\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "总体而言，这三种类型在受欢迎程度和舞蹈性方面保持一致。相同轴的散点图显示了类似的收敛模式。尝试使用散点图检查每种类型的数据分布。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/jenniferlooper/Library/Python/3.8/lib/python/site-packages/seaborn/axisgrid.py:337: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n", + " warnings.warn(msg, UserWarning)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "c61deff2839902ac8cb4ed411eb10fee", + "translation_date": "2025-09-03T20:02:50+00:00", + "source_file": "5-Clustering/1-Visualize/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/README.md b/translations/zh-CN/5-Clustering/2-K-Means/README.md new file mode 100644 index 000000000..f7de2e097 --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/README.md @@ -0,0 +1,252 @@ +# K-Means 聚类 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +在本课中，您将学习如何使用 Scikit-learn 和之前导入的尼日利亚音乐数据集创建聚类。我们将介绍 K-Means 聚类的基础知识。请记住，正如您在之前的课程中学到的那样，有许多方法可以处理聚类，您使用的方法取决于您的数据。我们将尝试 K-Means，因为它是最常见的聚类技术。让我们开始吧！ + +您将学习的术语： + +- Silhouette评分 +- 肘部法则 +- 惯性 +- 方差 + +## 简介 + +[K-Means 聚类](https://wikipedia.org/wiki/K-means_clustering) 是一种源自信号处理领域的方法。它用于通过一系列观察将数据分组并划分为“k”个聚类。每次观察都将数据点分配到离其最近的“均值”或聚类中心点。 + +这些聚类可以通过 [Voronoi 图](https://wikipedia.org/wiki/Voronoi_diagram) 来可视化，其中包括一个点（或“种子”）及其对应的区域。 + +![voronoi diagram](../../../../5-Clustering/2-K-Means/images/voronoi.png) + +> 信息图由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +K-Means 聚类过程[通过三步流程执行](https://scikit-learn.org/stable/modules/clustering.html#k-means)： + +1. 算法通过从数据集中采样选择 k 个中心点。之后进入循环： + 1. 将每个样本分配到最近的质心。 + 2. 通过计算分配到之前质心的所有样本的平均值来创建新的质心。 + 3. 然后计算新旧质心之间的差异，并重复直到质心稳定。 + +使用 K-Means 的一个缺点是您需要确定“k”，即质心的数量。幸运的是，“肘部法则”可以帮助估算一个好的起始值。您马上就会尝试。 + +## 前提条件 + +您将在本课的 [_notebook.ipynb_](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/2-K-Means/notebook.ipynb) 文件中工作，其中包括您在上一课中完成的数据导入和初步清理。 + +## 练习 - 准备工作 + +首先再次查看歌曲数据。 + +1. 为每一列调用 `boxplot()` 创建一个箱线图： + + ```python + plt.figure(figsize=(20,20), dpi=200) + + plt.subplot(4,3,1) + sns.boxplot(x = 'popularity', data = df) + + plt.subplot(4,3,2) + sns.boxplot(x = 'acousticness', data = df) + + plt.subplot(4,3,3) + sns.boxplot(x = 'energy', data = df) + + plt.subplot(4,3,4) + sns.boxplot(x = 'instrumentalness', data = df) + + plt.subplot(4,3,5) + sns.boxplot(x = 'liveness', data = df) + + plt.subplot(4,3,6) + sns.boxplot(x = 'loudness', data = df) + + plt.subplot(4,3,7) + sns.boxplot(x = 'speechiness', data = df) + + plt.subplot(4,3,8) + sns.boxplot(x = 'tempo', data = df) + + plt.subplot(4,3,9) + sns.boxplot(x = 'time_signature', data = df) + + plt.subplot(4,3,10) + sns.boxplot(x = 'danceability', data = df) + + plt.subplot(4,3,11) + sns.boxplot(x = 'length', data = df) + + plt.subplot(4,3,12) + sns.boxplot(x = 'release_date', data = df) + ``` + + 这些数据有点噪声：通过观察每一列的箱线图，您可以看到异常值。 + + ![outliers](../../../../5-Clustering/2-K-Means/images/boxplots.png) + +您可以遍历数据集并删除这些异常值，但这样会使数据变得非常有限。 + +1. 目前，选择您将用于聚类练习的列。选择范围相似的列，并将 `artist_top_genre` 列编码为数值数据： + + ```python + from sklearn.preprocessing import LabelEncoder + le = LabelEncoder() + + X = df.loc[:, ('artist_top_genre','popularity','danceability','acousticness','loudness','energy')] + + y = df['artist_top_genre'] + + X['artist_top_genre'] = le.fit_transform(X['artist_top_genre']) + + y = le.transform(y) + ``` + +1. 现在您需要选择目标聚类的数量。您知道数据集中有 3 个歌曲流派，因此我们尝试 3： + + ```python + from sklearn.cluster import KMeans + + nclusters = 3 + seed = 0 + + km = KMeans(n_clusters=nclusters, random_state=seed) + km.fit(X) + + # Predict the cluster for each data point + + y_cluster_kmeans = km.predict(X) + y_cluster_kmeans + ``` + +您会看到一个数组打印出来，其中包含数据框每一行的预测聚类（0、1 或 2）。 + +1. 使用此数组计算“Silhouette评分”： + + ```python + from sklearn import metrics + score = metrics.silhouette_score(X, y_cluster_kmeans) + score + ``` + +## Silhouette评分 + +寻找接近 1 的 Silhouette评分。此评分范围从 -1 到 1，如果评分为 1，则聚类密集且与其他聚类分离良好。接近 0 的值表示聚类重叠，样本非常接近邻近聚类的决策边界。[（来源）](https://dzone.com/articles/kmeans-silhouette-score-explained-with-python-exam) + +我们的评分是 **0.53**，处于中间位置。这表明我们的数据不太适合这种类型的聚类，但我们继续。 + +### 练习 - 构建模型 + +1. 导入 `KMeans` 并开始聚类过程。 + + ```python + from sklearn.cluster import KMeans + wcss = [] + + for i in range(1, 11): + kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42) + kmeans.fit(X) + wcss.append(kmeans.inertia_) + + ``` + + 这里有几个部分需要解释。 + + > 🎓 range：这些是聚类过程的迭代次数 + + > 🎓 random_state：“确定质心初始化的随机数生成。”[来源](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans) + + > 🎓 WCSS：“聚类内平方和”衡量聚类内所有点到质心的平均平方距离。[来源](https://medium.com/@ODSC/unsupervised-learning-evaluating-clusters-bd47eed175ce) + + > 🎓 惯性：K-Means 算法尝试选择质心以最小化“惯性”，“惯性是衡量聚类内部一致性的一种方法。”[来源](https://scikit-learn.org/stable/modules/clustering.html)。该值在每次迭代中附加到 wcss 变量。 + + > 🎓 k-means++：在 [Scikit-learn](https://scikit-learn.org/stable/modules/clustering.html#k-means) 中，您可以使用“k-means++”优化，“初始化质心使其（通常）彼此距离较远，从而可能比随机初始化获得更好的结果。” + +### 肘部法则 + +之前，您推测因为您针对 3 个歌曲流派，所以应该选择 3 个聚类。但真的是这样吗？ + +1. 使用“肘部法则”确认。 + + ```python + plt.figure(figsize=(10,5)) + sns.lineplot(x=range(1, 11), y=wcss, marker='o', color='red') + plt.title('Elbow') + plt.xlabel('Number of clusters') + plt.ylabel('WCSS') + plt.show() + ``` + + 使用您在上一步中构建的 `wcss` 变量创建一个图表，显示肘部的“弯曲”位置，这表明最佳聚类数量。也许确实是 **3**！ + + ![elbow method](../../../../5-Clustering/2-K-Means/images/elbow.png) + +## 练习 - 显示聚类 + +1. 再次尝试该过程，这次设置三个聚类，并将聚类显示为散点图： + + ```python + from sklearn.cluster import KMeans + kmeans = KMeans(n_clusters = 3) + kmeans.fit(X) + labels = kmeans.predict(X) + plt.scatter(df['popularity'],df['danceability'],c = labels) + plt.xlabel('popularity') + plt.ylabel('danceability') + plt.show() + ``` + +1. 检查模型的准确性： + + ```python + labels = kmeans.labels_ + + correct_labels = sum(y == labels) + + print("Result: %d out of %d samples were correctly labeled." % (correct_labels, y.size)) + + print('Accuracy score: {0:0.2f}'. format(correct_labels/float(y.size))) + ``` + + 该模型的准确性不太高，聚类的形状给了您一个提示原因。 + + ![clusters](../../../../5-Clustering/2-K-Means/images/clusters.png) + + 这些数据过于不平衡，相关性太低，并且列值之间的方差太大，无法很好地聚类。事实上，形成的聚类可能受到我们上面定义的三个流派类别的严重影响或偏斜。这是一个学习过程！ + + 在 Scikit-learn 的文档中，您可以看到像这样的模型，聚类划分不太清晰，存在“方差”问题： + + ![problem models](../../../../5-Clustering/2-K-Means/images/problems.png) + > 信息图来自 Scikit-learn + +## 方差 + +方差定义为“与均值的平方差的平均值”[（来源）](https://www.mathsisfun.com/data/standard-deviation.html)。在此聚类问题的背景下，它指的是数据集中数值偏离均值的程度。 + +✅ 这是一个很好的时机来思考所有可能的解决方法。进一步调整数据？使用不同的列？使用不同的算法？提示：尝试[缩放数据](https://www.mygreatlearning.com/blog/learning-data-science-with-k-means-clustering/)以进行归一化并测试其他列。 + +> 尝试这个“[方差计算器](https://www.calculatorsoup.com/calculators/statistics/variance-calculator.php)”来更好地理解这个概念。 + +--- + +## 🚀挑战 + +花一些时间在这个 notebook 上，调整参数。通过进一步清理数据（例如删除异常值），您能否提高模型的准确性？您可以使用权重为某些数据样本赋予更大的权重。还有什么方法可以创建更好的聚类？ + +提示：尝试缩放数据。notebook 中有注释代码，添加了标准缩放以使数据列在范围上更接近。您会发现虽然 Silhouette评分下降了，但肘部图中的“弯曲”变得更平滑。这是因为未缩放的数据允许方差较小的数据具有更大的权重。阅读更多关于此问题的内容[这里](https://stats.stackexchange.com/questions/21222/are-mean-normalization-and-feature-scaling-needed-for-k-means-clustering/21226#21226)。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +查看一个 K-Means 模拟器[例如这个](https://user.ceng.metu.edu.tr/~akifakkus/courses/ceng574/k-means/)。您可以使用此工具可视化样本数据点并确定其质心。您可以编辑数据的随机性、聚类数量和质心数量。这是否帮助您更好地理解数据如何分组？ + +此外，查看 [斯坦福的 K-Means 手册](https://stanford.edu/~cpiech/cs221/handouts/kmeans.html)。 + +## 作业 + +[尝试不同的聚类方法](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/assignment.md b/translations/zh-CN/5-Clustering/2-K-Means/assignment.md new file mode 100644 index 000000000..925481561 --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/assignment.md @@ -0,0 +1,16 @@ +# 尝试不同的聚类方法 + +## 说明 + +在本课中，你学习了 K-Means 聚类。有时 K-Means 并不适合你的数据。创建一个笔记本，使用本课中的数据或其他来源的数据（注明来源），并展示一种不同的聚类方法，而不是使用 K-Means。你学到了什么？ + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | ------------------------------------------------------------ | ------------------------------------------------------------ | -------------------------- | +| | 提交了一个包含详细文档的聚类模型的笔记本 | 提交了一个笔记本，但文档不够完善和/或内容不完整 | 提交的工作不完整 | + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/notebook.ipynb b/translations/zh-CN/5-Clustering/2-K-Means/notebook.ipynb new file mode 100644 index 000000000..25ed95875 --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/notebook.ipynb @@ -0,0 +1,231 @@ +{ + "metadata": { + 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kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", + "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install seaborn" + ] + }, + { + "source": [ + "从我们上节课结束的地方开始，导入并过滤数据。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "0 Sparky Mandy & The Jungle \n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "2 LITT! LITT! \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "0 Cruel Santino alternative r&b 2019 144000 48 \n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "2 AYLØ indie r&b 2018 207758 40 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "\n", + " speechiness tempo time_signature \n", + "0 0.0829 133.015 5 \n", + "1 0.3600 129.993 3 \n", + "2 0.0424 130.005 4 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 " + ], + "text/html": "
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0SparkyMandy & The JungleCruel Santinoalternative r&b2019144000480.6660.85100.4200.5340000.1100-6.6990.0829133.0155
1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
2LITT!LITT!AYLØindie r&b2018207758400.8360.27200.5640.0005370.1100-7.1270.0424130.0054
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
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" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "\n", + "\n", + "df = pd.read_csv(\"../data/nigerian-songs.csv\")\n", + "df.head()" + ] + }, + { + "source": [ + "我们将只关注三个类型。也许我们可以建立三个集群！\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n", + "df = df[(df['popularity'] > 0)]\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "5 Kasala Pioneers \n", + "6 Pull Up Everything Pretty \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "5 DRB Lasgidi nigerian pop 2020 184800 26 \n", + "6 prettyboydo nigerian pop 2018 202648 29 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "5 0.803 0.1270 0.525 0.000007 0.1290 -10.034 \n", + "6 0.818 0.4520 0.587 0.004490 0.5900 -9.840 \n", + "\n", + " speechiness tempo time_signature \n", + "1 0.3600 129.993 3 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 \n", + "5 0.1970 100.103 4 \n", + "6 0.1990 95.842 4 " + ], + "text/html": "
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namealbumartistartist_top_genrerelease_datelengthpopularitydanceabilityacousticnessenergyinstrumentalnesslivenessloudnessspeechinesstempotime_signature
1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
5KasalaPioneersDRB Lasgidinigerian pop2020184800260.8030.12700.5250.0000070.1290-10.0340.1970100.1034
6Pull UpEverything Prettyprettyboydonigerian pop2018202648290.8180.45200.5870.0044900.5900-9.8400.199095.8424
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" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/solution/Julia/README.md b/translations/zh-CN/5-Clustering/2-K-Means/solution/Julia/README.md new file mode 100644 index 000000000..f30fc4eeb --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/solution/R/lesson_15-R.ipynb b/translations/zh-CN/5-Clustering/2-K-Means/solution/R/lesson_15-R.ipynb new file mode 100644 index 000000000..d60c3460e --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/solution/R/lesson_15-R.ipynb @@ -0,0 +1,637 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "anaconda-cloud": "", + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.4.1" + }, + "colab": { + "name": "lesson_14.ipynb", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "coopTranslator": { + "original_hash": "ad65fb4aad0a156b42216e4929f490fc", + "translation_date": "2025-09-03T20:17:16+00:00", + "source_file": "5-Clustering/2-K-Means/solution/R/lesson_15-R.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "GULATlQXLXyR" + }, + "source": [ + "## 使用 R 和 Tidy 数据原则探索 K-Means 聚类\n", + "\n", + "### [**课前测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/29/)\n", + "\n", + "在本课中，您将学习如何使用 Tidymodels 包以及 R 生态系统中的其他包（我们称它们为朋友 🧑‍🤝‍🧑）创建聚类，并使用您之前导入的尼日利亚音乐数据集。我们将介绍 K-Means 聚类的基础知识。请记住，正如您在之前的课程中学到的那样，有许多方法可以处理聚类，您使用的方法取决于您的数据。我们将尝试 K-Means，因为它是最常见的聚类技术。让我们开始吧！\n", + "\n", + "您将学习的术语：\n", + "\n", + "- Silhouette评分\n", + "\n", + "- 肘部法则\n", + "\n", + "- 惯性\n", + "\n", + "- 方差\n", + "\n", + "### **简介**\n", + "\n", + "[K-Means 聚类](https://wikipedia.org/wiki/K-means_clustering) 是一种源自信号处理领域的方法。它用于根据特征的相似性将数据分成 `k 个聚类`。\n", + "\n", + "这些聚类可以通过 [Voronoi 图](https://wikipedia.org/wiki/Voronoi_diagram) 可视化，其中包括一个点（或“种子”）及其对应的区域。\n", + "\n", + "

\n", + " \n", + "

Jen Looper 制作的信息图
\n", + "\n", + "K-Means 聚类的步骤如下：\n", + "\n", + "1. 数据科学家首先指定要创建的聚类数量。\n", + "\n", + "2. 接下来，算法从数据集中随机选择 K 个观测值作为聚类的初始中心（即质心）。\n", + "\n", + "3. 然后，将其余的观测值分配到距离最近的质心。\n", + "\n", + "4. 接下来，计算每个聚类的新均值，并将质心移动到均值位置。\n", + "\n", + "5. 现在质心已经重新计算，每个观测值再次被检查是否更接近其他聚类。所有对象再次使用更新后的聚类均值重新分配。聚类分配和质心更新步骤会迭代重复，直到聚类分配不再变化（即达到收敛）。通常，当每次新迭代导致质心的移动微乎其微且聚类变得静态时，算法会终止。\n", + "\n", + "
\n", + "\n", + "> 请注意，由于初始 k 个观测值的随机化，作为起始质心，每次应用该过程时可能会得到略有不同的结果。因此，大多数算法会使用多个 *随机起点* 并选择具有最低 WCSS 的迭代。因此，强烈建议始终使用多个 *nstart* 值运行 K-Means，以避免 *不理想的局部最优解*。\n", + "\n", + "
\n", + "\n", + "以下短动画使用 Allison Horst 的 [插画](https://github.com/allisonhorst/stats-illustrations) 解释了聚类过程：\n", + "\n", + "

\n", + " \n", + "

@allison_horst 的插画
\n", + "\n", + "聚类中一个基本问题是：如何确定将数据分成多少个聚类？使用 K-Means 的一个缺点是您需要确定 `k`，即 `质心` 的数量。幸运的是，`肘部法则` 可以帮助估算一个好的起始值。您马上就会尝试。\n", + "\n", + "### \n", + "\n", + "**前提条件**\n", + "\n", + "我们将从 [上一课](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb) 停止的地方继续，在那里我们分析了数据集，进行了大量可视化，并过滤了感兴趣的观测值。一定要查看！\n", + "\n", + "我们需要一些包来完成本模块。您可以通过以下方式安装它们：`install.packages(c('tidyverse', 'tidymodels', 'cluster', 'summarytools', 'plotly', 'paletteer', 'factoextra', 'patchwork'))`\n", + "\n", + "或者，下面的脚本会检查您是否拥有完成本模块所需的包，并在缺少某些包时为您安装它们。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ah_tBi58LXyi" + }, + "source": [ + "suppressWarnings(if(!require(\"pacman\")) install.packages(\"pacman\"))\n", + "\n", + "pacman::p_load('tidyverse', 'tidymodels', 'cluster', 'summarytools', 'plotly', 'paletteer', 'factoextra', 'patchwork')\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7e--UCUTLXym" + }, + "source": [ + "让我们开始吧！\n", + "\n", + "## 1. 与数据共舞：缩小到最受欢迎的三个音乐类型\n", + "\n", + "这是我们上一节课所做内容的回顾。让我们来分析一些数据吧！\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ycamx7GGLXyn" + }, + "source": [ + "# Load the core tidyverse and make it available in your current R session\n", + "library(tidyverse)\n", + "\n", + "# Import the data into a tibble\n", + "df <- read_csv(file = \"https://raw.githubusercontent.com/microsoft/ML-For-Beginners/main/5-Clustering/data/nigerian-songs.csv\", show_col_types = FALSE)\n", + "\n", + "# Narrow down to top 3 popular genres\n", + "nigerian_songs <- df %>% \n", + " # Concentrate on top 3 genres\n", + " filter(artist_top_genre %in% c(\"afro dancehall\", \"afropop\",\"nigerian pop\")) %>% \n", + " # Remove unclassified observations\n", + " filter(popularity != 0)\n", + "\n", + "\n", + "\n", + "# Visualize popular genres using bar plots\n", + "theme_set(theme_light())\n", + "nigerian_songs %>%\n", + " count(artist_top_genre) %>%\n", + " ggplot(mapping = aes(x = artist_top_genre, y = n,\n", + " fill = artist_top_genre)) +\n", + " geom_col(alpha = 0.8) +\n", + " paletteer::scale_fill_paletteer_d(\"ggsci::category10_d3\") +\n", + " ggtitle(\"Top genres\") +\n", + " theme(plot.title = element_text(hjust = 0.5))\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b5h5zmkPLXyp" + }, + "source": [ + "🤩 这进展得很顺利！\n", + "\n", + "## 2. 更多数据探索\n", + "\n", + "这些数据有多干净？让我们使用箱线图检查异常值。我们将专注于异常值较少的数值列（尽管你也可以清理异常值）。箱线图可以显示数据的范围，并帮助选择要使用的列。注意，箱线图并不显示方差，而方差是良好可聚类数据的重要元素。请参阅[这个讨论](https://stats.stackexchange.com/questions/91536/deduce-variance-from-boxplot)以了解更多信息。\n", + "\n", + "[箱线图](https://en.wikipedia.org/wiki/Box_plot)用于以图形方式描述`数值`数据的分布，因此我们先从*选择*所有数值列以及流行音乐流派开始。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "HhNreJKLLXyq" + }, + "source": [ + "# Select top genre column and all other numeric columns\n", + "df_numeric <- nigerian_songs %>% \n", + " select(artist_top_genre, where(is.numeric)) \n", + "\n", + "# Display the data\n", + "df_numeric %>% \n", + " slice_head(n = 5)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uYXrwJRaLXyq" + }, + "source": [ + "看看选择助手 `where` 是如何让这一切变得简单的 💁？可以在[这里](https://tidyselect.r-lib.org/)探索其他类似的函数。\n", + "\n", + "由于我们将为每个数值特征制作箱线图，并且希望避免使用循环，让我们将数据重新格式化为*更长*的格式，这样就可以利用 `facets`——每个子图分别显示数据的一个子集。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "gd5bR3f8LXys" + }, + "source": [ + "# Pivot data from wide to long\n", + "df_numeric_long <- df_numeric %>% \n", + " pivot_longer(!artist_top_genre, names_to = \"feature_names\", values_to = \"values\") \n", + "\n", + "# Print out data\n", + "df_numeric_long %>% \n", + " slice_head(n = 15)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-7tE1swnLXyv" + }, + "source": [ + "更长了！现在是时候使用一些 `ggplots` 了！那么我们会用什么 `geom` 呢？\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "r88bIsyuLXyy" + }, + "source": [ + "# Make a box plot\n", + "df_numeric_long %>% \n", + " ggplot(mapping = aes(x = feature_names, y = values, fill = feature_names)) +\n", + " geom_boxplot() +\n", + " facet_wrap(~ feature_names, ncol = 4, scales = \"free\") +\n", + " theme(legend.position = \"none\")\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EYVyKIUELXyz" + }, + "source": [ + "现在我们可以看到这些数据有些杂乱：通过观察每一列的箱线图，可以发现存在异常值。你可以遍历整个数据集并移除这些异常值，但这样会使数据变得非常少。\n", + "\n", + "目前，我们来选择用于聚类练习的列。我们选择范围相似的数值列。我们可以将 `artist_top_genre` 编码为数值，但暂时先舍弃它。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-wkpINyZLXy0" + }, + "source": [ + "# Select variables with similar ranges\n", + "df_numeric_select <- df_numeric %>% \n", + " select(popularity, danceability, acousticness, loudness, energy) \n", + "\n", + "# Normalize data\n", + "# df_numeric_select <- scale(df_numeric_select)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "D7dLzgpqLXy1" + }, + "source": [ + "## 3. 在 R 中计算 k-means 聚类\n", + "\n", + "我们可以使用 R 中内置的 `kmeans` 函数计算 k-means，参见 `help(\"kmeans()\")`。`kmeans()` 函数的主要参数是一个包含所有数值型列的数据框。\n", + "\n", + "使用 k-means 聚类的第一步是指定最终解决方案中要生成的聚类数量（k）。我们知道从数据集中划分出了 3 种歌曲类型，因此我们可以尝试设置为 3：\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "uC4EQ5w7LXy5" + }, + "source": [ + "set.seed(2056)\n", + "# Kmeans clustering for 3 clusters\n", + "kclust <- kmeans(\n", + " df_numeric_select,\n", + " # Specify the number of clusters\n", + " centers = 3,\n", + " # How many random initial configurations\n", + " nstart = 25\n", + ")\n", + "\n", + "# Display clustering object\n", + "kclust\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hzfhscWrLXy-" + }, + "source": [ + "kmeans对象包含了许多信息，这些信息在`help(\"kmeans()\")`中有详细说明。现在，我们先关注几个关键点。我们可以看到数据被分成了3个簇，分别包含65、110和111个样本。输出还包括了这3个簇在5个变量上的簇中心（均值）。\n", + "\n", + "聚类向量是每个观测值的簇分配。我们可以使用`augment`函数将簇分配添加到原始数据集中。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "0XwwpFGQLXy_" + }, + "source": [ + "# Add predicted cluster assignment to data set\n", + "augment(kclust, df_numeric_select) %>% \n", + " relocate(.cluster) %>% \n", + " slice_head(n = 10)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NXIVXXACLXzA" + }, + "source": [ + "太好了，我们刚刚将数据集划分成了三个组。那么我们的聚类效果如何呢🤷？让我们来看看 `Silhouette score`。\n", + "\n", + "### **轮廓系数**\n", + "\n", + "[轮廓分析](https://en.wikipedia.org/wiki/Silhouette_(clustering))可以用来研究生成的聚类之间的分离距离。这个分数范围从 -1 到 1，如果分数接近 1，说明聚类紧密且与其他聚类分离良好。接近 0 的值表示聚类之间有重叠，样本非常接近邻近聚类的决策边界。[来源](https://dzone.com/articles/kmeans-silhouette-score-explained-with-python-exam)。\n", + "\n", + "平均轮廓方法计算不同 *k* 值下观测点的平均轮廓分数。较高的平均轮廓分数表明聚类效果较好。\n", + "\n", + "使用 cluster 包中的 `silhouette` 函数可以计算平均轮廓宽度。\n", + "\n", + "> 轮廓分数可以使用任何[距离](https://en.wikipedia.org/wiki/Distance \"Distance\")度量来计算，例如我们在[上一课](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/1-Visualize/solution/R/lesson_14-R.ipynb)中讨论过的[欧几里得距离](https://en.wikipedia.org/wiki/Euclidean_distance \"Euclidean distance\")或[曼哈顿距离](https://en.wikipedia.org/wiki/Manhattan_distance \"Manhattan distance\")。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Jn0McL28LXzB" + }, + "source": [ + "# Load cluster package\n", + "library(cluster)\n", + "\n", + "# Compute average silhouette score\n", + "ss <- silhouette(kclust$cluster,\n", + " # Compute euclidean distance\n", + " dist = dist(df_numeric_select))\n", + "mean(ss[, 3])\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QyQRn97nLXzC" + }, + "source": [ + "我们的得分是 **.549**，正好处于中间位置。这表明我们的数据并不特别适合这种类型的聚类。让我们看看是否可以通过可视化来验证这个猜测。[factoextra 包](https://rpkgs.datanovia.com/factoextra/index.html) 提供了用于可视化聚类的函数（`fviz_cluster()`）。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "7a6Km1_FLXzD" + }, + "source": [ + "library(factoextra)\n", + "\n", + "# Visualize clustering results\n", + "fviz_cluster(kclust, df_numeric_select)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IBwCWt-0LXzD" + }, + "source": [ + "聚类之间的重叠表明我们的数据并不特别适合这种类型的聚类，但我们继续进行。\n", + "\n", + "## 4. 确定最佳聚类数\n", + "\n", + "在 K-Means 聚类中经常出现的一个基本问题是——在没有已知类别标签的情况下，如何确定将数据分成多少个聚类？\n", + "\n", + "我们可以尝试的一种方法是使用一个数据样本来`创建一系列聚类模型`，逐步增加聚类的数量（例如从 1 到 10），并评估聚类指标，例如 **Silhouette 分数**。\n", + "\n", + "让我们通过对不同的 *k* 值计算聚类算法，并评估 **聚类内平方和**（WCSS），来确定最佳的聚类数。聚类内平方和（WCSS）总量衡量了聚类的紧凑性，我们希望它尽可能小，较低的值意味着数据点更接近。\n", + "\n", + "让我们探索不同的 `k` 值（从 1 到 10）对聚类结果的影响。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "hSeIiylDLXzE" + }, + "source": [ + "# Create a series of clustering models\n", + "kclusts <- tibble(k = 1:10) %>% \n", + " # Perform kmeans clustering for 1,2,3 ... ,10 clusters\n", + " mutate(model = map(k, ~ kmeans(df_numeric_select, centers = .x, nstart = 25)),\n", + " # Farm out clustering metrics eg WCSS\n", + " glanced = map(model, ~ glance(.x))) %>% \n", + " unnest(cols = glanced)\n", + " \n", + "\n", + "# View clustering rsulsts\n", + "kclusts\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "m7rS2U1eLXzE" + }, + "source": [ + "现在我们已经获得了每个聚类算法在中心 *k* 时的总簇内平方和 (tot.withinss)，接下来我们使用[肘部法则](https://en.wikipedia.org/wiki/Elbow_method_(clustering))来确定最佳的聚类数量。该方法的核心是将簇内平方和 (WCSS) 作为聚类数量的函数进行绘图，并选择[曲线的肘部](https://en.wikipedia.org/wiki/Elbow_of_the_curve \"曲线的肘部\")作为要使用的聚类数量。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "o_DjHGItLXzF" + }, + "source": [ + "set.seed(2056)\n", + "# Use elbow method to determine optimum number of clusters\n", + "kclusts %>% \n", + " ggplot(mapping = aes(x = k, y = tot.withinss)) +\n", + " geom_line(size = 1.2, alpha = 0.8, color = \"#FF7F0EFF\") +\n", + " geom_point(size = 2, color = \"#FF7F0EFF\")\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pLYyt5XSLXzG" + }, + "source": [ + "图表显示，当聚类数量从一个增加到两个时，WCSS显著减少（即更高的*紧密度*），从两个增加到三个聚类时也有进一步明显的减少。之后，减少的幅度变得不那么显著，在图表中大约三个聚类处形成一个`肘部` 💪。这表明数据点可以合理地分为两到三个较为独立的聚类。\n", + "\n", + "现在我们可以继续提取聚类模型，其中`k = 3`：\n", + "\n", + "> `pull()`: 用于提取单列\n", + ">\n", + "> `pluck()`: 用于索引数据结构，例如列表\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JP_JPKBILXzG" + }, + "source": [ + "# Extract k = 3 clustering\n", + "final_kmeans <- kclusts %>% \n", + " filter(k == 3) %>% \n", + " pull(model) %>% \n", + " pluck(1)\n", + "\n", + "\n", + "final_kmeans\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "l_PDTu8tLXzI" + }, + "source": [ + "太好了！让我们来可视化获得的聚类。想用 `plotly` 增加一些互动性吗？\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "dNcleFe-LXzJ" + }, + "source": [ + "# Add predicted cluster assignment to data set\n", + "results <- augment(final_kmeans, df_numeric_select) %>% \n", + " bind_cols(df_numeric %>% select(artist_top_genre)) \n", + "\n", + "# Plot cluster assignments\n", + "clust_plt <- results %>% \n", + " ggplot(mapping = aes(x = popularity, y = danceability, color = .cluster, shape = artist_top_genre)) +\n", + " geom_point(size = 2, alpha = 0.8) +\n", + " paletteer::scale_color_paletteer_d(\"ggthemes::Tableau_10\")\n", + "\n", + "ggplotly(clust_plt)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6JUM_51VLXzK" + }, + "source": [ + "也许我们会预期每个聚类（用不同颜色表示）会有明显不同的类型（用不同形状表示）。\n", + "\n", + "让我们来看看模型的准确性。\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "HdIMUGq7LXzL" + }, + "source": [ + "# Assign genres to predefined integers\n", + "label_count <- results %>% \n", + " group_by(artist_top_genre) %>% \n", + " mutate(id = cur_group_id()) %>% \n", + " ungroup() %>% \n", + " summarise(correct_labels = sum(.cluster == id))\n", + "\n", + "\n", + "# Print results \n", + "cat(\"Result:\", label_count$correct_labels, \"out of\", nrow(results), \"samples were correctly labeled.\")\n", + "\n", + "cat(\"\\nAccuracy score:\", label_count$correct_labels/nrow(results))\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C50wvaAOLXzM" + }, + "source": [ + "这个模型的准确性还可以，但并不算优秀。这可能是因为数据本身不太适合使用 K-Means 聚类。这些数据过于不平衡，相关性较低，并且列值之间的差异太大，导致聚类效果不佳。实际上，形成的聚类可能会受到我们之前定义的三个类别的强烈影响或偏斜。\n", + "\n", + "尽管如此，这仍然是一个很好的学习过程！\n", + "\n", + "在 Scikit-learn 的文档中，你可以看到像这样的模型，聚类边界不太清晰，存在“方差”问题：\n", + "\n", + "

\n", + " \n", + "

来自 Scikit-learn 的信息图
\n", + "\n", + "\n", + "\n", + "## **方差**\n", + "\n", + "方差被定义为“与平均值的平方差的平均值” [来源](https://www.mathsisfun.com/data/standard-deviation.html)。在这个聚类问题的背景下，它指的是数据集中数值偏离平均值的程度过大。\n", + "\n", + "✅ 这是一个很好的时机来思考如何解决这个问题。稍微调整数据？使用不同的列？尝试不同的算法？提示：试试[对数据进行缩放](https://www.mygreatlearning.com/blog/learning-data-science-with-k-means-clustering/)以进行归一化，并测试其他列。\n", + "\n", + "> 试试这个‘[方差计算器](https://www.calculatorsoup.com/calculators/statistics/variance-calculator.php)’来更好地理解这个概念。\n", + "\n", + "------------------------------------------------------------------------\n", + "\n", + "## **🚀挑战**\n", + "\n", + "花些时间研究这个笔记本，调整参数。通过进一步清理数据（例如删除异常值），你能否提高模型的准确性？你可以使用权重为某些数据样本赋予更大的权重。还有什么方法可以创建更好的聚类？\n", + "\n", + "提示：试试对数据进行缩放。笔记本中有注释代码，可以添加标准化缩放，使数据列在范围上更接近。你会发现虽然轮廓分数下降了，但肘部图中的“折点”变得更加平滑。这是因为未缩放的数据允许方差较小的数据权重更大。可以在[这里](https://stats.stackexchange.com/questions/21222/are-mean-normalization-and-feature-scaling-needed-for-k-means-clustering/21226#21226)阅读更多相关问题。\n", + "\n", + "## [**课后测验**](https://gray-sand-07a10f403.1.azurestaticapps.net/quiz/30/)\n", + "\n", + "## **复习与自学**\n", + "\n", + "- 看看一个 K-Means 模拟器 [例如这个](https://user.ceng.metu.edu.tr/~akifakkus/courses/ceng574/k-means/)。你可以使用这个工具可视化样本数据点并确定其质心。你可以编辑数据的随机性、聚类数量和质心数量。这是否帮助你更好地理解数据如何分组？\n", + "\n", + "- 另外，看看斯坦福的[这份 K-Means 手册](https://stanford.edu/~cpiech/cs221/handouts/kmeans.html)。\n", + "\n", + "想尝试将你新学到的聚类技能应用到适合 K-Means 聚类的数据集上？请参考以下内容：\n", + "\n", + "- [训练和评估聚类模型](https://rpubs.com/eR_ic/clustering)，使用 Tidymodels 和相关工具\n", + "\n", + "- [K-Means 聚类分析](https://uc-r.github.io/kmeans_clustering)，UC 商业分析 R 编程指南\n", + "\n", + "- [使用整洁数据原则进行 K-Means 聚类](https://www.tidymodels.org/learn/statistics/k-means/)\n", + "\n", + "## **作业**\n", + "\n", + "[尝试不同的聚类方法](https://github.com/microsoft/ML-For-Beginners/blob/main/5-Clustering/2-K-Means/assignment.md)\n", + "\n", + "## 特别感谢：\n", + "\n", + "[Jen Looper](https://www.twitter.com/jenlooper) 创建了这个模块的原始 Python 版本 ♥️\n", + "\n", + "[`Allison Horst`](https://twitter.com/allison_horst/) 创作了令人惊叹的插图，使 R 更加友好和吸引人。可以在她的[画廊](https://www.google.com/url?q=https://github.com/allisonhorst/stats-illustrations&sa=D&source=editors&ust=1626380772530000&usg=AOvVaw3zcfyCizFQZpkSLzxiiQEM)中找到更多插图。\n", + "\n", + "祝学习愉快，\n", + "\n", + "[Eric](https://twitter.com/ericntay)，Gold Microsoft Learn 学生大使。\n", + "\n", + "

\n", + " \n", + "

由 @allison_horst 创作的艺术作品
\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/solution/notebook.ipynb b/translations/zh-CN/5-Clustering/2-K-Means/solution/notebook.ipynb new file mode 100644 index 000000000..5bcd2b1e8 --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/solution/notebook.ipynb @@ -0,0 +1,550 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python37364bit8d3b438fb5fc4430a93ac2cb74d693a7", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "e867e87e3129c8875423a82945f4ad5e", + "translation_date": "2025-09-03T20:11:32+00:00", + "source_file": "5-Clustering/2-K-Means/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n", + "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n", + "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n", + "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n", + "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n", + "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n", + "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n", + "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n", + "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n", + "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n", + "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n", + "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", + "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install seaborn" + ] + }, + { + "source": [ + "从我们上节课结束的地方开始，导入并过滤数据。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "0 Sparky Mandy & The Jungle \n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "2 LITT! 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4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
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" + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "\n", + "\n", + "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n", + "df.head()" + ] + }, + { + "source": [ + "我们将只专注于三个类型。也许我们可以建立三个集群！\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "metadata": {}, + "execution_count": 12 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n", + "df = df[(df['popularity'] > 0)]\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "5 Kasala Pioneers \n", + "6 Pull Up Everything Pretty \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "5 DRB Lasgidi nigerian pop 2020 184800 26 \n", + "6 prettyboydo nigerian pop 2018 202648 29 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "5 0.803 0.1270 0.525 0.000007 0.1290 -10.034 \n", + "6 0.818 0.4520 0.587 0.004490 0.5900 -9.840 \n", + "\n", + " speechiness tempo time_signature \n", + "1 0.3600 129.993 3 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 \n", + "5 0.1970 100.103 4 \n", + "6 0.1990 95.842 4 " + ], + "text/html": "
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namealbumartistartist_top_genrerelease_datelengthpopularitydanceabilityacousticnessenergyinstrumentalnesslivenessloudnessspeechinesstempotime_signature
1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
5KasalaPioneersDRB Lasgidinigerian pop2020184800260.8030.12700.5250.0000070.1290-10.0340.1970100.1034
6Pull UpEverything Prettyprettyboydonigerian pop2018202648290.8180.45200.5870.0044900.5900-9.8400.199095.8424
\n
" + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "df.head()" + ] + }, + { + "source": [ + "这数据有多干净？使用箱线图检查异常值。我们将集中在异常值较少的列（尽管你可以清除异常值）。箱线图可以显示数据范围，并帮助选择使用哪些列。注意，箱线图不显示方差，这是良好聚类数据的重要元素（https://stats.stackexchange.com/questions/91536/deduce-variance-from-boxplot）。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 14 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(20,20), dpi=200)\n", + "\n", + "plt.subplot(4,3,1)\n", + "sns.boxplot(x = 'popularity', data = df)\n", + "\n", + "plt.subplot(4,3,2)\n", + "sns.boxplot(x = 'acousticness', data = df)\n", + "\n", + "plt.subplot(4,3,3)\n", + "sns.boxplot(x = 'energy', data = df)\n", + "\n", + "plt.subplot(4,3,4)\n", + "sns.boxplot(x = 'instrumentalness', data = df)\n", + "\n", + "plt.subplot(4,3,5)\n", + "sns.boxplot(x = 'liveness', data = df)\n", + "\n", + "plt.subplot(4,3,6)\n", + "sns.boxplot(x = 'loudness', data = df)\n", + "\n", + "plt.subplot(4,3,7)\n", + "sns.boxplot(x = 'speechiness', data = df)\n", + "\n", + "plt.subplot(4,3,8)\n", + "sns.boxplot(x = 'tempo', data = df)\n", + "\n", + "plt.subplot(4,3,9)\n", + "sns.boxplot(x = 'time_signature', data = df)\n", + "\n", + "plt.subplot(4,3,10)\n", + "sns.boxplot(x = 'danceability', data = df)\n", + "\n", + "plt.subplot(4,3,11)\n", + "sns.boxplot(x = 'length', data = df)\n", + "\n", + "plt.subplot(4,3,12)\n", + "sns.boxplot(x = 'release_date', data = df)" + ] + }, + { + "source": [ + "选择几个范围相似的列。确保包括 artist_top_genre 列以保持我们的流派清晰。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import LabelEncoder, StandardScaler\n", + "le = LabelEncoder()\n", + "\n", + "# scaler = StandardScaler()\n", + "\n", + "X = df.loc[:, ('artist_top_genre','popularity','danceability','acousticness','loudness','energy')]\n", + "\n", + "y = df['artist_top_genre']\n", + "\n", + "X['artist_top_genre'] = le.fit_transform(X['artist_top_genre'])\n", + "\n", + "# X = scaler.fit_transform(X)\n", + "\n", + "y = le.transform(y)\n", + "\n" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0,\n", + " 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0,\n", + " 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2,\n", + " 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2,\n", + " 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0,\n", + " 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2,\n", + " 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2,\n", + " 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2,\n", + " 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0,\n", + " 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0,\n", + " 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2,\n", + " 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2,\n", + " 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1],\n", + " dtype=int32)" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "\n", + "from sklearn.cluster import KMeans\n", + "\n", + "nclusters = 3 \n", + "seed = 0\n", + "\n", + "km = KMeans(n_clusters=nclusters, random_state=seed)\n", + "km.fit(X)\n", + "\n", + "# Predict the cluster for each data point\n", + "\n", + "y_cluster_kmeans = km.predict(X)\n", + "y_cluster_kmeans" + ] + }, + { + "source": [ + "那些数字对我们来说意义不大，所以让我们获取一个“轮廓分数”来查看准确性。我们的分数处于中间水平。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.5466747351275563" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "from sklearn import metrics\n", + "score = metrics.silhouette_score(X, y_cluster_kmeans)\n", + "score" + ] + }, + { + "source": [ + "导入KMeans并构建模型\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "wcss = []\n", + "\n", + "for i in range(1, 11):\n", + " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n", + " kmeans.fit(X)\n", + " wcss.append(kmeans.inertia_)" + ] + }, + { + "source": [ + "使用该模型，通过肘部法确定构建的最佳聚类数量\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n FutureWarning\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "sns.lineplot(range(1, 11), wcss,marker='o',color='red')\n", + "plt.title('Elbow')\n", + "plt.xlabel('Number of clusters')\n", + "plt.ylabel('WCSS')\n", + "plt.show()" + ] + }, + { + "source": [ + "Looks like 3 is a good number after all. Fit the model again and create a scatterplot of your clusters. They do group in bunches, but they are pretty close together." + ], + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "from sklearn.cluster import KMeans\n", + "kmeans = KMeans(n_clusters = 3)\n", + "kmeans.fit(X)\n", + "labels = kmeans.predict(X)\n", + "plt.scatter(df['popularity'],df['danceability'],c = labels)\n", + "plt.xlabel('popularity')\n", + "plt.ylabel('danceability')\n", + "plt.show()" + ] + }, + { + "source": [ + "该模型的准确性还不错，但并不出色。可能是数据不太适合K均值聚类。您可以尝试使用其他方法。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 811, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Result: 109 out of 286 samples were correctly labeled.\nAccuracy score: 0.38\n" + ] + } + ], + "source": [ + "labels = kmeans.labels_\n", + "\n", + "correct_labels = sum(y == labels)\n", + "\n", + "print(\"Result: %d out of %d samples were correctly labeled.\" % (correct_labels, y.size))\n", + "\n", + "print('Accuracy score: {0:0.2f}'. format(correct_labels/float(y.size)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/2-K-Means/solution/tester.ipynb b/translations/zh-CN/5-Clustering/2-K-Means/solution/tester.ipynb new file mode 100644 index 000000000..7e71c1e7f --- /dev/null +++ b/translations/zh-CN/5-Clustering/2-K-Means/solution/tester.ipynb @@ -0,0 +1,343 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": 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(0.11.1)\n", + "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n", + "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n", + "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n", + "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n", + "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n", + "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n", + "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n", + "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n", + "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n", + "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n", + "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", + "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install seaborn" + ] + }, + { + "source": [ + "从我们上节课结束的地方开始，导入并过滤数据。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "0 Sparky Mandy & The Jungle \n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "2 LITT! LITT! \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "0 Cruel Santino alternative r&b 2019 144000 48 \n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "2 AYLØ indie r&b 2018 207758 40 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "0 0.666 0.8510 0.420 0.534000 0.1100 -6.699 \n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "2 0.836 0.2720 0.564 0.000537 0.1100 -7.127 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "\n", + " speechiness tempo time_signature \n", + "0 0.0829 133.015 5 \n", + "1 0.3600 129.993 3 \n", + "2 0.0424 130.005 4 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 " + ], + "text/html": "
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1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
2LITT!LITT!AYLØindie r&b2018207758400.8360.27200.5640.0005370.1100-7.1270.0424130.0054
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
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" + }, + "metadata": {}, + "execution_count": 105 + } + ], + "source": [ + "\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import numpy as np\n", + "\n", + "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n", + "df.head()" + ] + }, + { + "source": [ + "我们将只专注于三个类型。也许我们可以建立三个集群！\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Top genres')" + ] + }, + "metadata": {}, + "execution_count": 106 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n", + "df = df[(df['popularity'] > 0)]\n", + "top = df['artist_top_genre'].value_counts()\n", + "plt.figure(figsize=(10,7))\n", + "sns.barplot(x=top.index,y=top.values)\n", + "plt.xticks(rotation=45)\n", + "plt.title('Top genres',color = 'blue')" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " name album \\\n", + "1 shuga rush EVERYTHING YOU HEARD IS TRUE \n", + "3 Confident / Feeling Cool Enjoy Your Life \n", + "4 wanted you rare. \n", + "5 Kasala Pioneers \n", + "6 Pull Up Everything Pretty \n", + "\n", + " artist artist_top_genre release_date length popularity \\\n", + "1 Odunsi (The Engine) afropop 2020 89488 30 \n", + "3 Lady Donli nigerian pop 2019 175135 14 \n", + "4 Odunsi (The Engine) afropop 2018 152049 25 \n", + "5 DRB Lasgidi nigerian pop 2020 184800 26 \n", + "6 prettyboydo nigerian pop 2018 202648 29 \n", + "\n", + " danceability acousticness energy instrumentalness liveness loudness \\\n", + "1 0.710 0.0822 0.683 0.000169 0.1010 -5.640 \n", + "3 0.894 0.7980 0.611 0.000187 0.0964 -4.961 \n", + "4 0.702 0.1160 0.833 0.910000 0.3480 -6.044 \n", + "5 0.803 0.1270 0.525 0.000007 0.1290 -10.034 \n", + "6 0.818 0.4520 0.587 0.004490 0.5900 -9.840 \n", + "\n", + " speechiness tempo time_signature \n", + "1 0.3600 129.993 3 \n", + "3 0.1130 111.087 4 \n", + "4 0.0447 105.115 4 \n", + "5 0.1970 100.103 4 \n", + "6 0.1990 95.842 4 " + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
namealbumartistartist_top_genrerelease_datelengthpopularitydanceabilityacousticnessenergyinstrumentalnesslivenessloudnessspeechinesstempotime_signature
1shuga rushEVERYTHING YOU HEARD IS TRUEOdunsi (The Engine)afropop202089488300.7100.08220.6830.0001690.1010-5.6400.3600129.9933
3Confident / Feeling CoolEnjoy Your LifeLady Donlinigerian pop2019175135140.8940.79800.6110.0001870.0964-4.9610.1130111.0874
4wanted yourare.Odunsi (The Engine)afropop2018152049250.7020.11600.8330.9100000.3480-6.0440.0447105.1154
5KasalaPioneersDRB Lasgidinigerian pop2020184800260.8030.12700.5250.0000070.1290-10.0340.1970100.1034
6Pull UpEverything Prettyprettyboydonigerian pop2018202648290.8180.45200.5870.0044900.5900-9.8400.199095.8424
\n
" + }, + "metadata": {}, + "execution_count": 107 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "scaler = StandardScaler()\n", + "\n", + "# X = df.loc[:, ('danceability','energy')]\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "output_type": "error", + "ename": "ValueError", + "evalue": "Unknown label type: 'continuous'", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 20\u001b[0m \u001b[0;31m# we create an instance of SVM and fit out data. We do not scale our\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[0;31m# data since we want to plot the support vectors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 22\u001b[0;31m \u001b[0mls30\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mLabelSpreading\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_30\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_30\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'Label Spreading 30% data'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 23\u001b[0m \u001b[0mls50\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mLabelSpreading\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_50\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_50\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'Label Spreading 50% data'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 24\u001b[0m \u001b[0mls100\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mLabelSpreading\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'Label Spreading 100% data'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/sklearn/semi_supervised/_label_propagation.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, X, y)\u001b[0m\n\u001b[1;32m 228\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_validate_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 229\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mX_\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 230\u001b[0;31m \u001b[0mcheck_classification_targets\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 231\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 232\u001b[0m \u001b[0;31m# actual graph construction (implementations should override this)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/sklearn/utils/multiclass.py\u001b[0m in \u001b[0;36mcheck_classification_targets\u001b[0;34m(y)\u001b[0m\n\u001b[1;32m 181\u001b[0m if y_type not in ['binary', 'multiclass', 'multiclass-multioutput',\n\u001b[1;32m 182\u001b[0m 'multilabel-indicator', 'multilabel-sequences']:\n\u001b[0;32m--> 183\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Unknown label type: %r\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0my_type\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 184\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 185\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: Unknown label type: 'continuous'" + ] + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "from sklearn.semi_supervised import LabelSpreading\n", + "from sklearn.semi_supervised import SelfTrainingClassifier\n", + "from sklearn import datasets\n", + "\n", + "X = df[['danceability','acousticness']].values\n", + "y = df['energy'].values\n", + "\n", + "# X = scaler.fit_transform(X)\n", + "\n", + "# step size in the mesh\n", + "h = .02\n", + "\n", + "rng = np.random.RandomState(0)\n", + "y_rand = rng.rand(y.shape[0])\n", + "y_30 = np.copy(y)\n", + "y_30[y_rand < 0.3] = -1 # set random samples to be unlabeled\n", + "y_50 = np.copy(y)\n", + "y_50[y_rand < 0.5] = -1\n", + "# we create an instance of SVM and fit out data. We do not scale our\n", + "# data since we want to plot the support vectors\n", + "ls30 = (LabelSpreading().fit(X, y_30), y_30, 'Label Spreading 30% data')\n", + "ls50 = (LabelSpreading().fit(X, y_50), y_50, 'Label Spreading 50% data')\n", + "ls100 = (LabelSpreading().fit(X, y), y, 'Label Spreading 100% data')\n", + "\n", + "# the base classifier for self-training is identical to the SVC\n", + "base_classifier = SVC(kernel='rbf', gamma=.5, probability=True)\n", + "st30 = (SelfTrainingClassifier(base_classifier).fit(X, y_30),\n", + " y_30, 'Self-training 30% data')\n", + "st50 = (SelfTrainingClassifier(base_classifier).fit(X, y_50),\n", + " y_50, 'Self-training 50% data')\n", + "\n", + "rbf_svc = (SVC(kernel='rbf', gamma=.5).fit(X, y), y, 'SVC with rbf kernel')\n", + "\n", + "# create a mesh to plot in\n", + "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", + "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", + "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", + " np.arange(y_min, y_max, h))\n", + "\n", + "color_map = {-1: (1, 1, 1), 0: (0, 0, .9), 1: (1, 0, 0), 2: (.8, .6, 0)}\n", + "\n", + "classifiers = (ls30, st30, ls50, st50, ls100, rbf_svc)\n", + "for i, (clf, y_train, title) in enumerate(classifiers):\n", + " # Plot the decision boundary. For that, we will assign a color to each\n", + " # point in the mesh [x_min, x_max]x[y_min, y_max].\n", + " plt.subplot(3, 2, i + 1)\n", + " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", + "\n", + " # Put the result into a color plot\n", + " Z = Z.reshape(xx.shape)\n", + " plt.contourf(xx, yy, Z, cmap=plt.cm.Paired)\n", + " plt.axis('off')\n", + "\n", + " # Plot also the training points\n", + " colors = [color_map[y] for y in y_train]\n", + " plt.scatter(X[:, 0], X[:, 1], c=colors, edgecolors='black')\n", + "\n", + " plt.title(title)\n", + "\n", + "plt.suptitle(\"Unlabeled points are colored white\", y=0.1)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/5-Clustering/README.md b/translations/zh-CN/5-Clustering/README.md new file mode 100644 index 000000000..b7194600d --- /dev/null +++ b/translations/zh-CN/5-Clustering/README.md @@ -0,0 +1,33 @@ +# 机器学习中的聚类模型 + +聚类是一种机器学习任务，旨在寻找彼此相似的对象并将它们分组到称为“聚类”的组中。与机器学习中的其他方法不同，聚类是自动进行的，实际上可以说它是监督学习的反面。 + +## 地区主题：针对尼日利亚观众音乐品味的聚类模型 🎧 + +尼日利亚的观众拥有多样化的音乐品味。通过从 Spotify 抓取的数据（灵感来源于[这篇文章](https://towardsdatascience.com/country-wise-visual-analysis-of-music-taste-using-spotify-api-seaborn-in-python-77f5b749b421)），让我们来看看尼日利亚流行的一些音乐。这份数据集包括关于各种歌曲的“舞蹈性”评分、“声学性”、响度、“语音性”、流行度和能量的相关数据。发现这些数据中的模式将会非常有趣！ + +![唱盘](../../../translated_images/zh-CN/turntable.f2b86b13c53302dc.webp) + +> 图片由 Marcela Laskoski 提供，来自 Unsplash + +在这一系列课程中，你将学习使用聚类技术分析数据的新方法。聚类特别适用于数据集缺乏标签的情况。如果数据集有标签，那么你在之前课程中学到的分类技术可能会更有用。但在需要对无标签数据进行分组的情况下，聚类是发现模式的绝佳方法。 + +> 有一些实用的低代码工具可以帮助你学习如何使用聚类模型。试试 [Azure ML](https://docs.microsoft.com/learn/modules/create-clustering-model-azure-machine-learning-designer/?WT.mc_id=academic-77952-leestott) 来完成这个任务。 + +## 课程 + +1. [聚类简介](1-Visualize/README.md) +2. [K-Means 聚类](2-K-Means/README.md) + +## 致谢 + +这些课程由 [Jen Looper](https://www.twitter.com/jenlooper) 倾情创作，并由 [Rishit Dagli](https://rishit_dagli) 和 [Muhammad Sakib Khan Inan](https://twitter.com/Sakibinan) 提供了有益的审阅。 + +[Nigerian Songs](https://www.kaggle.com/sootersaalu/nigerian-songs-spotify) 数据集来源于 Kaggle，由 Spotify 抓取。 + +在创建本课程时，以下 K-Means 示例提供了帮助，包括这个 [鸢尾花探索](https://www.kaggle.com/bburns/iris-exploration-pca-k-means-and-gmm-clustering)、这个[入门笔记本](https://www.kaggle.com/prashant111/k-means-clustering-with-python)，以及这个[假设的 NGO 示例](https://www.kaggle.com/ankandash/pca-k-means-clustering-hierarchical-clustering)。 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/1-Introduction-to-NLP/README.md b/translations/zh-CN/6-NLP/1-Introduction-to-NLP/README.md new file mode 100644 index 000000000..5ae742a3c --- /dev/null +++ b/translations/zh-CN/6-NLP/1-Introduction-to-NLP/README.md @@ -0,0 +1,170 @@ +# 自然语言处理简介 + +本课程涵盖了*自然语言处理*（NLP）的简要历史和重要概念，这是*计算语言学*的一个分支领域。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 简介 + +NLP是机器学习应用最广泛的领域之一，并已被用于生产软件中。 + +✅ 你能想到每天使用的软件中可能嵌入了NLP吗？比如你经常使用的文字处理程序或手机应用？ + +你将学习以下内容： + +- **语言的概念**。了解语言的发展以及主要研究领域。 +- **定义和概念**。你还将学习计算机如何处理文本的定义和概念，包括解析、语法以及识别名词和动词。本课程中有一些编码任务，并引入了几个重要概念，这些概念将在后续课程中学习如何编写代码。 + +## 计算语言学 + +计算语言学是一个研究和开发领域，已有数十年的历史，研究计算机如何与语言协作，甚至理解、翻译和与语言进行交流。自然语言处理（NLP）是一个相关领域，专注于计算机如何处理“自然”或人类语言。 + +### 示例 - 手机语音输入 + +如果你曾经对手机进行语音输入而不是打字，或者向虚拟助手提问，你的语音会被转换为文本形式，然后被处理或*解析*成你所说的语言。检测到的关键词随后会被处理成手机或助手可以理解并执行的格式。 + +![理解](../../../../6-NLP/1-Introduction-to-NLP/images/comprehension.png) +> 真正的语言理解很难！图片来源：[Jen Looper](https://twitter.com/jenlooper) + +### 这项技术是如何实现的？ + +这项技术的实现是因为有人编写了一个计算机程序来完成这些任务。几十年前，一些科幻作家预测人们将主要通过语音与计算机交流，而计算机将始终准确理解他们的意思。然而，事实证明这是一个比许多人想象的更难的问题。尽管今天对这个问题的理解已经大大提高，但在实现“完美”的自然语言处理以理解句子的意义时仍然存在重大挑战。尤其是在理解幽默或检测句子中的情感（如讽刺）时，这个问题尤为困难。 + +此时，你可能会回忆起学校课堂上老师讲解句子语法部分的情景。在一些国家，学生会专门学习语法和语言学，而在许多国家，这些主题是语言学习的一部分：小学学习母语（学习阅读和写作），高中可能学习第二语言。如果你不擅长区分名词和动词或副词和形容词，不用担心！ + +如果你对区分*一般现在时*和*现在进行时*感到困难，你并不孤单。这对许多人来说是一个挑战，即使是母语使用者。好消息是，计算机非常擅长应用正式规则，你将学习编写代码来像人类一样*解析*句子。更大的挑战是理解句子的*意义*和*情感*。 + +## 前置知识 + +本课程的主要前置知识是能够阅读和理解本课程的语言。本课程没有数学问题或需要解决的方程。虽然课程的原作者是用英语编写的，但它也被翻译成其他语言，因此你可能正在阅读翻译版本。本课程中有一些例子使用了多种语言（用于比较不同语言的语法规则）。这些例子*没有*被翻译，但解释性文本是翻译过的，因此意义应该是清晰的。 + +对于编码任务，你将使用Python，示例使用的是Python 3.8。 + +在本节中，你将需要并使用以下内容： + +- **Python 3理解能力**。理解Python 3编程语言，本课程使用输入、循环、文件读取、数组。 +- **Visual Studio Code + 扩展**。我们将使用Visual Studio Code及其Python扩展。你也可以使用自己选择的Python IDE。 +- **TextBlob**。 [TextBlob](https://github.com/sloria/TextBlob) 是一个简化的Python文本处理库。按照TextBlob网站上的说明将其安装到你的系统中（同时安装语料库，如下所示）： + + ```bash + pip install -U textblob + python -m textblob.download_corpora + ``` + +> 💡 提示：你可以直接在VS Code环境中运行Python。查看[文档](https://code.visualstudio.com/docs/languages/python?WT.mc_id=academic-77952-leestott)了解更多信息。 + +## 与机器对话 + +让计算机理解人类语言的历史可以追溯到几十年前，最早考虑自然语言处理的科学家之一是*艾伦·图灵*。 + +### 图灵测试 + +当图灵在20世纪50年代研究*人工智能*时，他提出了一个对话测试：通过打字交流，让人类和计算机进行对话，而人类无法确定自己是在与另一个人还是计算机交流。 + +如果在一定时间的对话后，人类无法判断回答是来自计算机还是人类，那么是否可以说计算机在“思考”？ + +### 灵感来源 - 模仿游戏 + +这个想法来源于一个叫*模仿游戏*的派对游戏，游戏中一个审问者独自待在一个房间里，任务是判断另一个房间里的两个人分别是男性还是女性。审问者可以发送纸条，并试图提出问题，通过书面回答来揭示神秘人物的性别。当然，另一个房间里的玩家会试图通过回答问题来误导或迷惑审问者，同时也要表现得像是在诚实回答。 + +### 开发Eliza + +在20世纪60年代，麻省理工学院的科学家*约瑟夫·魏岑鲍姆*开发了[*Eliza*](https://wikipedia.org/wiki/ELIZA)，一个计算机“治疗师”，它会向人类提问并表现出理解他们的回答。然而，虽然Eliza可以解析句子并识别某些语法结构和关键词以给出合理的回答，但它不能说是*理解*句子。如果Eliza收到一个格式为“**我很**难过”的句子，它可能会重新排列并替换句子中的单词，形成“你**已经**难过多久了”的回答。 + +这给人一种Eliza理解了陈述并提出了后续问题的印象，而实际上它只是改变了时态并添加了一些单词。如果Eliza无法识别一个关键词，它会给出一个随机回答，这可能适用于许多不同的陈述。例如，如果用户写“**你是**一辆自行车”，它可能会回答“我**已经**是一辆自行车多久了？”，而不是一个更合理的回答。 + +[![与Eliza聊天](https://img.youtube.com/vi/RMK9AphfLco/0.jpg)](https://youtu.be/RMK9AphfLco "与Eliza聊天") + +> 🎥 点击上方图片观看关于原始ELIZA程序的视频 + +> 注意：如果你有ACM账户，可以阅读1966年发表的[Eliza](https://cacm.acm.org/magazines/1966/1/13317-elizaa-computer-program-for-the-study-of-natural-language-communication-between-man-and-machine/abstract)原始描述。或者，可以在[wikipedia](https://wikipedia.org/wiki/ELIZA)上了解Eliza。 + +## 练习 - 编写一个基础对话机器人 + +一个对话机器人，比如Eliza，是一个能够引导用户输入并表现出理解和智能回应的程序。与Eliza不同，我们的机器人不会有多个规则来表现出智能对话。相反，我们的机器人只有一个功能，即通过随机回应来保持对话，这些回应可能适用于几乎任何简单对话。 + +### 计划 + +构建对话机器人的步骤： + +1. 打印说明，告知用户如何与机器人互动 +2. 开始一个循环 + 1. 接收用户输入 + 2. 如果用户要求退出，则退出 + 3. 处理用户输入并确定回应（在本例中，回应是从可能的通用回应列表中随机选择） + 4. 打印回应 +3. 返回步骤2 + +### 构建机器人 + +接下来我们来创建机器人。首先定义一些短语。 + +1. 使用以下随机回应在Python中创建这个机器人： + + ```python + random_responses = ["That is quite interesting, please tell me more.", + "I see. Do go on.", + "Why do you say that?", + "Funny weather we've been having, isn't it?", + "Let's change the subject.", + "Did you catch the game last night?"] + ``` + + 以下是一些示例输出（用户输入以`>`开头的行）： + + ```output + Hello, I am Marvin, the simple robot. + You can end this conversation at any time by typing 'bye' + After typing each answer, press 'enter' + How are you today? + > I am good thanks + That is quite interesting, please tell me more. + > today I went for a walk + Did you catch the game last night? + > I did, but my team lost + Funny weather we've been having, isn't it? + > yes but I hope next week is better + Let's change the subject. + > ok, lets talk about music + Why do you say that? + > because I like music! + Why do you say that? + > bye + It was nice talking to you, goodbye! + ``` + + 任务的一个可能解决方案在[这里](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/1-Introduction-to-NLP/solution/bot.py) + + ✅ 停下来思考 + + 1. 你认为随机回应能否“欺骗”某人，让他们认为机器人真的理解了他们？ + 2. 机器人需要哪些功能才能更有效？ + 3. 如果一个机器人真的能“理解”句子的意义，它是否需要“记住”对话中前几句的意义？ + +--- + +## 🚀挑战 + +选择上述“停下来思考”中的一个元素，尝试用代码实现它，或者用伪代码在纸上写出解决方案。 + +在下一节课中，你将学习其他解析自然语言和机器学习的方法。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +查看以下参考资料，作为进一步阅读的机会。 + +### 参考资料 + +1. Schubert, Lenhart, "Computational Linguistics", *The Stanford Encyclopedia of Philosophy* (Spring 2020 Edition), Edward N. Zalta (ed.), URL = . +2. Princeton University "About WordNet." [WordNet](https://wordnet.princeton.edu/). Princeton University. 2010. + +## 作业 + +[寻找一个机器人](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/1-Introduction-to-NLP/assignment.md b/translations/zh-CN/6-NLP/1-Introduction-to-NLP/assignment.md new file mode 100644 index 000000000..a7435831a --- /dev/null +++ b/translations/zh-CN/6-NLP/1-Introduction-to-NLP/assignment.md @@ -0,0 +1,16 @@ +# 寻找一个机器人 + +## 说明 + +机器人无处不在。你的任务是：找到一个并与它互动！你可以在网站上、银行应用程序中，或者通过电话找到它，例如，当你拨打金融服务公司的电话咨询或查询账户信息时。分析这个机器人，看看你是否能让它困惑。如果你能让机器人困惑，为什么会发生这种情况？写一篇简短的文章，描述你的体验。 + +## 评分标准 + +| 标准 | 优秀 | 合格 | 需要改进 | +| -------- | -------------------------------------------------------------------------------------------------------- | ---------------------------------------- | --------------------- | +| | 撰写了一整页文章，解释了假定的机器人架构并概述了与它的互动体验 | 文章不完整或研究不充分 | 未提交文章 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/2-Tasks/README.md b/translations/zh-CN/6-NLP/2-Tasks/README.md new file mode 100644 index 000000000..d1644e674 --- /dev/null +++ b/translations/zh-CN/6-NLP/2-Tasks/README.md @@ -0,0 +1,219 @@ +# 常见的自然语言处理任务和技术 + +对于大多数*自然语言处理*任务，需要将待处理的文本分解、分析，并将结果存储或与规则和数据集进行交叉引用。这些任务使程序员能够推导出文本中的_意义_、_意图_或仅仅是_词语和术语的频率_。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +让我们来探索处理文本时常用的技术。这些技术结合机器学习，可以帮助你高效地分析大量文本。然而，在将机器学习应用于这些任务之前，我们需要了解自然语言处理专家可能遇到的问题。 + +## 自然语言处理的常见任务 + +分析文本有多种方法。通过执行不同的任务，你可以理解文本并得出结论。这些任务通常按顺序进行。 + +### 分词 + +大多数自然语言处理算法的第一步可能是将文本分解为词或标记。虽然这听起来很简单，但考虑到标点符号以及不同语言的词和句子的分隔符，这可能会变得复杂。你可能需要使用多种方法来确定分界点。 + +![分词](../../../../6-NLP/2-Tasks/images/tokenization.png) +> 从**傲慢与偏见**中分词的示例。信息图由 [Jen Looper](https://twitter.com/jenlooper) 制作 + +### 嵌入 + +[词嵌入](https://wikipedia.org/wiki/Word_embedding)是一种将文本数据转换为数值的方式。嵌入的方式使得具有相似意义或经常一起使用的词汇聚集在一起。 + +![词嵌入](../../../../6-NLP/2-Tasks/images/embedding.png) +> “我对你的神经非常尊重，它们是我的老朋友。” - **傲慢与偏见**中的一句话的词嵌入。信息图由 [Jen Looper](https://twitter.com/jenlooper) 制作 + +✅ 尝试[这个有趣的工具](https://projector.tensorflow.org/)来实验词嵌入。点击一个词可以显示类似词的聚类，例如“toy”与“disney”、“lego”、“playstation”和“console”聚类在一起。 + +### 解析与词性标注 + +每个被分词的词都可以标注为词性，例如名词、动词或形容词。句子`the quick red fox jumped over the lazy brown dog`可能会被词性标注为：fox = 名词，jumped = 动词。 + +![解析](../../../../6-NLP/2-Tasks/images/parse.png) + +> **傲慢与偏见**中的一句话解析示例。信息图由 [Jen Looper](https://twitter.com/jenlooper) 制作 + +解析是识别句子中哪些词彼此相关，例如`the quick red fox jumped`是一个形容词-名词-动词序列，与`lazy brown dog`序列分开。 + +### 词和短语频率 + +分析大量文本时，一个有用的步骤是构建一个字典，记录每个感兴趣的词或短语及其出现的频率。短语`the quick red fox jumped over the lazy brown dog`中，词`the`的频率为2。 + +让我们看一个示例文本，统计词频。拉迪亚德·吉卜林的诗《胜利者》中有以下诗句： + +```output +What the moral? Who rides may read. +When the night is thick and the tracks are blind +A friend at a pinch is a friend, indeed, +But a fool to wait for the laggard behind. +Down to Gehenna or up to the Throne, +He travels the fastest who travels alone. +``` + +由于短语频率可以根据需要区分大小写，短语`a friend`的频率为2，`the`的频率为6，`travels`的频率为2。 + +### N-grams + +文本可以分解为固定长度的词序列，例如单词（unigram）、两个词（bigram）、三个词（trigram）或任意数量的词（n-grams）。 + +例如，`the quick red fox jumped over the lazy brown dog`的n-gram长度为2，生成以下n-grams： + +1. the quick +2. quick red +3. red fox +4. fox jumped +5. jumped over +6. over the +7. the lazy +8. lazy brown +9. brown dog + +可以将其想象为一个滑动窗口在句子上移动。以下是长度为3的n-grams，每个句子中的n-gram用加粗表示： + +1. **the quick red** fox jumped over the lazy brown dog +2. the **quick red fox** jumped over the lazy brown dog +3. the quick **red fox jumped** over the lazy brown dog +4. the quick red **fox jumped over** the lazy brown dog +5. the quick red fox **jumped over the** lazy brown dog +6. the quick red fox jumped **over the lazy** brown dog +7. the quick red fox jumped over **the lazy brown** dog +8. the quick red fox jumped over the **lazy brown dog** + +![n-grams滑动窗口](../../../../6-NLP/2-Tasks/images/n-grams.gif) + +> N-gram值为3：信息图由 [Jen Looper](https://twitter.com/jenlooper) 制作 + +### 名词短语提取 + +在大多数句子中，有一个名词是句子的主语或宾语。在英语中，通常可以通过前面的`a`、`an`或`the`来识别。通过“提取名词短语”来识别句子的主语或宾语是自然语言处理中理解句子意义的常见任务。 + +✅ 在句子“我无法确定时间、地点、表情或语言，这些构成了基础。这太久远了。我在不知不觉中已经开始了。”中，你能识别出名词短语吗？ + +在句子`the quick red fox jumped over the lazy brown dog`中，有两个名词短语：**quick red fox**和**lazy brown dog**。 + +### 情感分析 + +可以分析句子或文本的情感，即其*积极性*或*消极性*。情感通过*极性*和*客观性/主观性*来衡量。极性范围从-1.0到1.0（消极到积极），客观性范围从0.0到1.0（最客观到最主观）。 + +✅ 稍后你会学习使用机器学习确定情感的不同方法，但一种方法是由人工专家将词和短语分类为积极或消极，并将该模型应用于文本以计算极性分数。你能看到这种方法在某些情况下有效，而在其他情况下效果较差吗？ + +### 词形变化 + +词形变化使你能够获取一个词的单数或复数形式。 + +### 词形还原 + +*词形还原*是指获取一组词的词根或主词，例如*flew*、*flies*、*flying*的词形还原为动词*fly*。 + +还有一些对自然语言处理研究人员非常有用的数据库，例如： + +### WordNet + +[WordNet](https://wordnet.princeton.edu/)是一个包含词汇、同义词、反义词以及许多其他细节的数据库，涵盖多种语言中的每个词汇。在构建翻译、拼写检查器或任何类型的语言工具时，它非常有用。 + +## 自然语言处理库 + +幸运的是，你不需要自己构建所有这些技术，因为有许多优秀的Python库可以让非自然语言处理或机器学习专家的开发者更容易使用。在接下来的课程中会有更多示例，但这里你将学习一些有用的示例来帮助你完成下一项任务。 + +### 练习 - 使用`TextBlob`库 + +让我们使用一个名为TextBlob的库，它包含处理这些任务的有用API。TextBlob“基于[NLTK](https://nltk.org)和[pattern](https://github.com/clips/pattern)，并与它们很好地协作。”它的API中嵌入了大量机器学习功能。 + +> 注意：推荐给有经验的Python开发者的TextBlob[快速入门指南](https://textblob.readthedocs.io/en/dev/quickstart.html#quickstart) + +在尝试识别*名词短语*时，TextBlob提供了几种提取器选项来找到名词短语。 + +1. 看看`ConllExtractor`。 + + ```python + from textblob import TextBlob + from textblob.np_extractors import ConllExtractor + # import and create a Conll extractor to use later + extractor = ConllExtractor() + + # later when you need a noun phrase extractor: + user_input = input("> ") + user_input_blob = TextBlob(user_input, np_extractor=extractor) # note non-default extractor specified + np = user_input_blob.noun_phrases + ``` + + > 这里发生了什么？[ConllExtractor](https://textblob.readthedocs.io/en/dev/api_reference.html?highlight=Conll#textblob.en.np_extractors.ConllExtractor)是“一个使用ConLL-2000训练语料库进行块解析的名词短语提取器。”ConLL-2000指的是2000年计算自然语言学习会议。每年会议都会举办一个研讨会来解决一个棘手的自然语言处理问题，2000年的主题是名词块解析。一个模型在《华尔街日报》上进行了训练，“使用第15-18节作为训练数据（211727个标记），第20节作为测试数据（47377个标记）”。你可以查看使用的程序[这里](https://www.clips.uantwerpen.be/conll2000/chunking/)以及[结果](https://ifarm.nl/erikt/research/np-chunking.html)。 + +### 挑战 - 使用自然语言处理改进你的机器人 + +在上一课中，你构建了一个非常简单的问答机器人。现在，你将通过分析用户输入的情感并打印出匹配情感的响应，使Marvin更加富有同情心。你还需要识别一个`noun_phrase`并围绕它提出更多问题。 + +构建更好的对话机器人的步骤： + +1. 打印说明，指导用户如何与机器人互动 +2. 开始循环 + 1. 接收用户输入 + 2. 如果用户要求退出，则退出 + 3. 处理用户输入并确定适当的情感响应 + 4. 如果在情感中检测到名词短语，将其复数化并围绕该主题提出更多问题 + 5. 打印响应 +3. 返回步骤2 + +以下是使用TextBlob确定情感的代码片段。注意，这里只有四种*情感响应梯度*（如果你愿意，可以增加更多）： + +```python +if user_input_blob.polarity <= -0.5: + response = "Oh dear, that sounds bad. " +elif user_input_blob.polarity <= 0: + response = "Hmm, that's not great. " +elif user_input_blob.polarity <= 0.5: + response = "Well, that sounds positive. " +elif user_input_blob.polarity <= 1: + response = "Wow, that sounds great. " +``` + +以下是一些示例输出以供参考（用户输入以`>`开头的行）： + +```output +Hello, I am Marvin, the friendly robot. +You can end this conversation at any time by typing 'bye' +After typing each answer, press 'enter' +How are you today? +> I am ok +Well, that sounds positive. Can you tell me more? +> I went for a walk and saw a lovely cat +Well, that sounds positive. Can you tell me more about lovely cats? +> cats are the best. But I also have a cool dog +Wow, that sounds great. Can you tell me more about cool dogs? +> I have an old hounddog but he is sick +Hmm, that's not great. Can you tell me more about old hounddogs? +> bye +It was nice talking to you, goodbye! +``` + +任务的一个可能解决方案在[这里](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/2-Tasks/solution/bot.py) + +✅ 知识检查 + +1. 你认为这些富有同情心的响应能否“欺骗”某人，让他们认为机器人真的理解他们？ +2. 识别名词短语是否让机器人更“可信”？ +3. 为什么从句子中提取“名词短语”是一件有用的事情？ + +--- + +实现上述知识检查中的机器人并测试它。它能否欺骗你的朋友？你能让你的机器人更“可信”吗？ + +## 🚀挑战 + +尝试实现上述知识检查中的任务并测试机器人。它能否欺骗你的朋友？你能让你的机器人更“可信”吗？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +在接下来的几节课中，你将学习更多关于情感分析的内容。通过阅读像[KDNuggets](https://www.kdnuggets.com/tag/nlp)上的文章来研究这一有趣的技术。 + +## 作业 + +[让机器人回复](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/2-Tasks/assignment.md b/translations/zh-CN/6-NLP/2-Tasks/assignment.md new file mode 100644 index 000000000..6921a6b69 --- /dev/null +++ b/translations/zh-CN/6-NLP/2-Tasks/assignment.md @@ -0,0 +1,16 @@ +# 让机器人回应 + +## 说明 + +在之前的课程中，你编写了一个基础的聊天机器人。这个机器人会随机回答，直到你说“bye”。你能让它的回答不那么随机，并在你说特定内容（比如“为什么”或“怎么”）时触发特定回答吗？思考一下，机器学习如何让这种工作变得更自动化，同时扩展你的机器人。你可以使用 NLTK 或 TextBlob 库来简化任务。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ------------------------------------------ | -------------------------------------------- | ---------------------- | +| | 提供了一个新的 bot.py 文件并进行了文档记录 | 提供了一个新的 bot 文件，但存在一些问题 | 未提供文件 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/3-Translation-Sentiment/README.md b/translations/zh-CN/6-NLP/3-Translation-Sentiment/README.md new file mode 100644 index 000000000..a197169ca --- /dev/null +++ b/translations/zh-CN/6-NLP/3-Translation-Sentiment/README.md @@ -0,0 +1,191 @@ +# 使用机器学习进行翻译和情感分析 + +在之前的课程中，你学习了如何使用 `TextBlob` 构建一个基础的机器人。`TextBlob` 是一个库，它在幕后嵌入了机器学习技术，用于执行基本的自然语言处理任务，例如名词短语提取。计算语言学中的另一个重要挑战是准确地将一个语言的句子翻译成另一种语言。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +翻译是一个非常困难的问题，因为世界上有成千上万种语言，每种语言都有非常不同的语法规则。一种方法是将一种语言（例如英语）的正式语法规则转换为一种与语言无关的结构，然后通过转换回另一种语言来完成翻译。这种方法的步骤如下： + +1. **识别**。识别或标记输入语言中的单词，例如名词、动词等。 +2. **创建翻译**。以目标语言的格式直接翻译每个单词。 + +### 示例句子：英语到爱尔兰语 + +在“英语”中，句子 _I feel happy_ 是三个单词，顺序为： + +- **主语** (I) +- **动词** (feel) +- **形容词** (happy) + +然而，在“爱尔兰语”中，同样的句子有非常不同的语法结构——像“happy”或“sad”这样的情感被表达为“在你身上”。 + +英语短语 `I feel happy` 在爱尔兰语中是 `Tá athas orm`。一个*字面*翻译是 `Happy is upon me`。 + +一个讲爱尔兰语的人翻译成英语时会说 `I feel happy`，而不是 `Happy is upon me`，因为他们理解句子的含义，即使单词和句子结构不同。 + +在爱尔兰语中，这句话的正式顺序是： + +- **动词** (Tá 或 is) +- **形容词** (athas 或 happy) +- **主语** (orm 或 upon me) + +## 翻译 + +一个简单的翻译程序可能只翻译单词，而忽略句子结构。 + +✅ 如果你作为成年人学习了第二（或第三甚至更多）语言，你可能一开始会在脑海中用母语思考，将一个概念逐字翻译成第二语言，然后说出你的翻译。这类似于简单翻译计算机程序的工作方式。要达到流利程度，重要的是要超越这个阶段！ + +简单翻译会导致糟糕（有时甚至是搞笑）的误译：`I feel happy` 字面翻译成爱尔兰语是 `Mise bhraitheann athas`。这意味着（字面上）`me feel happy`，但这不是一个有效的爱尔兰语句子。尽管英语和爱尔兰语是两个邻近岛屿上使用的语言，但它们是非常不同的语言，语法结构也不同。 + +> 你可以观看一些关于爱尔兰语言传统的视频，例如 [这个](https://www.youtube.com/watch?v=mRIaLSdRMMs) + +### 机器学习方法 + +到目前为止，你已经了解了自然语言处理的正式规则方法。另一种方法是忽略单词的含义，而是*使用机器学习来检测模式*。如果你有大量的文本（*语料库*）或原始语言和目标语言的文本（*语料*），这种方法在翻译中可能会奏效。 + +例如，考虑《傲慢与偏见》的情况，这是一本由简·奥斯汀于1813年写的著名英语小说。如果你查阅这本书的英语版本和人类翻译的*法语*版本，你可以检测到一种语言中的短语在另一种语言中被*习惯性地*翻译。这就是你接下来要做的。 + +例如，当英语短语 `I have no money` 被字面翻译成法语时，它可能变成 `Je n'ai pas de monnaie`。“Monnaie” 是一个棘手的法语“假同源词”，因为“money”和“monnaie”并不是同义词。一个人类可能会做出更好的翻译，即 `Je n'ai pas d'argent`，因为它更好地传达了你没有钱的意思（而不是“零钱”，这是“monnaie”的意思）。 + +![monnaie](../../../../6-NLP/3-Translation-Sentiment/images/monnaie.png) + +> 图片由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +如果一个机器学习模型有足够的人工翻译来构建模型，它可以通过识别之前由精通两种语言的专家翻译的文本中的常见模式来提高翻译的准确性。 + +### 练习 - 翻译 + +你可以使用 `TextBlob` 来翻译句子。试试《傲慢与偏见》的著名第一句： + +```python +from textblob import TextBlob + +blob = TextBlob( + "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife!" +) +print(blob.translate(to="fr")) + +``` + +`TextBlob` 的翻译效果相当不错：“C'est une vérité universellement reconnue, qu'un homme célibataire en possession d'une bonne fortune doit avoir besoin d'une femme!”。 + +可以说，`TextBlob` 的翻译实际上比1932年由 V. Leconte 和 Ch. Pressoir 翻译的法语版本更精确： + +“C'est une vérité universelle qu'un célibataire pourvu d'une belle fortune doit avoir envie de se marier, et, si peu que l'on sache de son sentiment à cet egard, lorsqu'il arrive dans une nouvelle résidence, cette idée est si bien fixée dans l'esprit de ses voisins qu'ils le considèrent sur-le-champ comme la propriété légitime de l'une ou l'autre de leurs filles。” + +在这种情况下，由机器学习支持的翻译比人类翻译更好，因为后者为了“清晰”而不必要地在原作者的文字中添加了额外的内容。 + +> 这是怎么回事？为什么 `TextBlob` 的翻译如此出色？实际上，它在幕后使用了 Google Translate，这是一种复杂的人工智能，能够解析数百万个短语以预测最适合当前任务的字符串。这完全是自动化的，你需要互联网连接才能使用 `blob.translate`。 + +✅ 尝试更多句子。机器学习翻译和人工翻译哪个更好？在哪些情况下？ + +## 情感分析 + +机器学习在情感分析领域也表现得非常出色。一种非机器学习的方法是识别“积极”和“消极”的单词和短语。然后，给定一段新的文本，计算积极、消极和中性单词的总值，以确定整体情感。 + +这种方法很容易被欺骗，就像你在 Marvin 任务中看到的那样——句子 `Great, that was a wonderful waste of time, I'm glad we are lost on this dark road` 是一个讽刺性的消极情感句子，但简单的算法会检测到“great”、“wonderful”、“glad”是积极的，“waste”、“lost”和“dark”是消极的。整体情感被这些矛盾的单词所影响。 + +✅ 停下来想一想，作为人类说话者，我们如何表达讽刺。语调的变化起到了很大的作用。试着用不同的方式说“Well, that film was awesome”，看看你的声音如何传达意义。 + +### 机器学习方法 + +机器学习方法是手动收集消极和积极的文本——例如推文、电影评论，或者任何带有评分*和*书面意见的内容。然后可以将 NLP 技术应用于意见和评分，从而发现模式（例如，积极的电影评论中“奥斯卡级”这个短语出现的频率比消极电影评论中高，或者积极的餐厅评论中“美食”出现的频率比“恶心”高）。 + +> ⚖️ **示例**：如果你在一个政治家的办公室工作，并且有一项新的法律正在讨论，选民可能会写邮件支持或反对这项新法律。假设你的任务是阅读这些邮件并将它们分为两类：*支持*和*反对*。如果邮件很多，你可能会因为试图阅读所有邮件而感到不堪重负。如果有一个机器人可以阅读所有邮件，理解它们并告诉你每封邮件属于哪个类别，那不是很好吗？ +> +> 一种实现方法是使用机器学习。你可以用一部分*反对*邮件和一部分*支持*邮件来训练模型。模型会倾向于将某些短语和单词与反对方或支持方关联起来，*但它不会理解任何内容*，只会知道某些单词和模式更可能出现在反对或支持邮件中。你可以用一些未用于训练模型的邮件进行测试，看看它是否得出了与你相同的结论。然后，一旦你对模型的准确性感到满意，你就可以处理未来的邮件，而无需逐一阅读。 + +✅ 这个过程是否类似于你在之前课程中使用的过程？ + +## 练习 - 情感句子 + +情感通过*极性*从 -1 到 1 来衡量，-1 表示最消极的情感，1 表示最积极的情感。情感还通过 0 到 1 的分数来衡量客观性（0）和主观性（1）。 + +再看一眼简·奥斯汀的《傲慢与偏见》。文本可以在 [Project Gutenberg](https://www.gutenberg.org/files/1342/1342-h/1342-h.htm) 找到。以下示例展示了一个简短的程序，它分析了书中第一句和最后一句的情感，并显示其情感极性和主观性/客观性分数。 + +你应该使用 `TextBlob` 库（如上所述）来确定 `sentiment`（你不需要自己编写情感计算器）来完成以下任务。 + +```python +from textblob import TextBlob + +quote1 = """It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife.""" + +quote2 = """Darcy, as well as Elizabeth, really loved them; and they were both ever sensible of the warmest gratitude towards the persons who, by bringing her into Derbyshire, had been the means of uniting them.""" + +sentiment1 = TextBlob(quote1).sentiment +sentiment2 = TextBlob(quote2).sentiment + +print(quote1 + " has a sentiment of " + str(sentiment1)) +print(quote2 + " has a sentiment of " + str(sentiment2)) +``` + +你会看到以下输出： + +```output +It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want # of a wife. has a sentiment of Sentiment(polarity=0.20952380952380953, subjectivity=0.27142857142857146) + +Darcy, as well as Elizabeth, really loved them; and they were + both ever sensible of the warmest gratitude towards the persons + who, by bringing her into Derbyshire, had been the means of + uniting them. has a sentiment of Sentiment(polarity=0.7, subjectivity=0.8) +``` + +## 挑战 - 检查情感极性 + +你的任务是使用情感极性来确定《傲慢与偏见》中绝对积极的句子是否多于绝对消极的句子。对于此任务，你可以假设极性分数为 1 或 -1 的句子是绝对积极或消极的。 + +**步骤：** + +1. 从 Project Gutenberg 下载一份《傲慢与偏见》的 [副本](https://www.gutenberg.org/files/1342/1342-h/1342-h.htm) 作为 .txt 文件。删除文件开头和结尾的元数据，仅保留原始文本。 +2. 在 Python 中打开文件并将内容提取为字符串。 +3. 使用书的字符串创建一个 TextBlob。 +4. 在循环中分析书中的每个句子： + 1. 如果极性为 1 或 -1，将句子存储在一个数组或列表中，分别存储积极或消极的消息。 +5. 最后，分别打印出所有积极句子和消极句子，以及它们的数量。 + +这里是一个 [示例解决方案](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/3-Translation-Sentiment/solution/notebook.ipynb)。 + +✅ 知识检查 + +1. 情感是基于句子中使用的单词，但代码是否*理解*这些单词？ +2. 你认为情感极性准确吗？换句话说，你是否*同意*这些分数？ + 1. 特别是，你是否同意或不同意以下句子的绝对**积极**极性： + * “What an excellent father you have, girls!” said she, when the door was shut. + * “Your examination of Mr. Darcy is over, I presume,” said Miss Bingley; “and pray what is the result?” “I am perfectly convinced by it that Mr. Darcy has no defect. + * How wonderfully these sort of things occur! + * I have the greatest dislike in the world to that sort of thing. + * Charlotte is an excellent manager, I dare say. + * “This is delightful indeed! + * I am so happy! + * Your idea of the ponies is delightful. + 2. 以下三个句子被评分为绝对积极情感，但仔细阅读后，它们并不是积极句子。为什么情感分析认为它们是积极句子？ + * Happy shall I be, when his stay at Netherfield is over!” “I wish I could say anything to comfort you,” replied Elizabeth; “but it is wholly out of my power. + * If I could but see you as happy! + * Our distress, my dear Lizzy, is very great. + 3. 你是否同意或不同意以下句子的绝对**消极**极性： + - Everybody is disgusted with his pride. + - “I should like to know how he behaves among strangers.” “You shall hear then—but prepare yourself for something very dreadful. + - The pause was to Elizabeth’s feelings dreadful. + - It would be dreadful! + +✅ 任何简·奥斯汀的爱好者都会理解，她经常在书中批评英国摄政时期社会中更荒谬的方面。《傲慢与偏见》的主角伊丽莎白·班内特是一个敏锐的社会观察者（就像作者一样），她的语言通常充满了深意。甚至故事中的爱情对象达西先生也注意到伊丽莎白的俏皮和戏谑的语言使用：“我有幸认识你足够久，知道你偶尔会发表一些实际上并非你真实观点的意见，并从中获得极大的乐趣。” + +--- + +## 🚀挑战 + +你能通过从用户输入中提取其他特征来让 Marvin 更加出色吗？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 +从文本中提取情感有很多方法。想想可能会利用这种技术的商业应用。再想想它可能出错的情况。阅读更多关于分析情感的复杂企业级系统，例如 [Azure Text Analysis](https://docs.microsoft.com/azure/cognitive-services/Text-Analytics/how-tos/text-analytics-how-to-sentiment-analysis?tabs=version-3-1?WT.mc_id=academic-77952-leestott)。测试上面的一些《傲慢与偏见》的句子，看看它是否能检测出细微差别。 + +## 作业 + +[诗意许可](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/3-Translation-Sentiment/assignment.md b/translations/zh-CN/6-NLP/3-Translation-Sentiment/assignment.md new file mode 100644 index 000000000..8c2c6f9a9 --- /dev/null +++ b/translations/zh-CN/6-NLP/3-Translation-Sentiment/assignment.md @@ -0,0 +1,16 @@ +# 诗意的许可 + +## 说明 + +在[这个笔记本](https://www.kaggle.com/jenlooper/emily-dickinson-word-frequency)中，你可以找到超过500首艾米莉·狄金森的诗，这些诗之前已经使用 Azure 文本分析进行了情感分析。利用这个数据集，按照课程中描述的方法进行分析。一首诗的情感倾向是否与更复杂的 Azure 服务的判断一致？在你看来，为什么会一致或不一致？有没有什么让你感到意外的地方？ + +## 评分标准 + +| 标准 | 优秀 | 合格 | 需要改进 | +| -------- | -------------------------------------------------------------------------- | ------------------------------------------------------- | ------------------------ | +| | 提交了一个包含对作者样本输出的深入分析的笔记本 | 笔记本不完整或未进行分析 | 未提交笔记本 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/Julia/README.md b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/Julia/README.md new file mode 100644 index 000000000..e2fb46232 --- /dev/null +++ b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/R/README.md b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/R/README.md new file mode 100644 index 000000000..ba3fc1469 --- /dev/null +++ b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/notebook.ipynb b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/notebook.ipynb new file mode 100644 index 000000000..581dd4d69 --- /dev/null +++ b/translations/zh-CN/6-NLP/3-Translation-Sentiment/solution/notebook.ipynb @@ -0,0 +1,100 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 4, + "coopTranslator": { + "original_hash": "27de2abc0235ebd22080fc8f1107454d", + "translation_date": "2025-09-03T20:58:06+00:00", + "source_file": "6-NLP/3-Translation-Sentiment/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from textblob import TextBlob\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# You should download the book text, clean it, and import it here\n", + "with open(\"pride.txt\", encoding=\"utf8\") as f:\n", + " file_contents = f.read()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "book_pride = TextBlob(file_contents)\n", + "positive_sentiment_sentences = []\n", + "negative_sentiment_sentences = []" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "for sentence in book_pride.sentences:\n", + " if sentence.sentiment.polarity == 1:\n", + " positive_sentiment_sentences.append(sentence)\n", + " if sentence.sentiment.polarity == -1:\n", + " negative_sentiment_sentences.append(sentence)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(\"The \" + str(len(positive_sentiment_sentences)) + \" most positive sentences:\")\n", + "for sentence in positive_sentiment_sentences:\n", + " print(\"+ \" + str(sentence.replace(\"\\n\", \"\").replace(\" \", \" \")))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(\"The \" + str(len(negative_sentiment_sentences)) + \" most negative sentences:\")\n", + "for sentence in negative_sentiment_sentences:\n", + " print(\"- \" + str(sentence.replace(\"\\n\", \"\").replace(\" \", \" \")))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/README.md b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/README.md new file mode 100644 index 000000000..037a97521 --- /dev/null +++ b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/README.md @@ -0,0 +1,408 @@ +# 使用酒店评论进行情感分析 - 数据处理 + +在本节中，您将使用前几课中的技术对一个大型数据集进行一些探索性数据分析。一旦您对各列的实用性有了良好的理解，您将学习： + +- 如何删除不必要的列 +- 如何基于现有列计算一些新数据 +- 如何保存处理后的数据集以用于最终挑战 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +### 简介 + +到目前为止，您已经了解了文本数据与数值数据类型的不同。如果文本是由人类书写或口述的，它可以被分析以发现模式和频率、情感和意义。本课将带您进入一个真实的数据集并面对一个真实的挑战：**[欧洲515K酒店评论数据](https://www.kaggle.com/jiashenliu/515k-hotel-reviews-data-in-europe)**，并包含一个[CC0: 公共领域许可](https://creativecommons.org/publicdomain/zero/1.0/)。该数据集是从Booking.com的公共来源抓取的，数据集的创建者是Jiashen Liu。 + +### 准备工作 + +您需要： + +* 能够使用Python 3运行.ipynb笔记本 +* pandas +* NLTK，[您需要在本地安装](https://www.nltk.org/install.html) +* 数据集可从Kaggle下载：[欧洲515K酒店评论数据](https://www.kaggle.com/jiashenliu/515k-hotel-reviews-data-in-europe)。解压后约230 MB。将其下载到与这些NLP课程相关的根目录`/data`文件夹中。 + +## 探索性数据分析 + +本次挑战假设您正在构建一个使用情感分析和客人评论评分的酒店推荐机器人。您将使用的数据集包括6个城市中1493家不同酒店的评论。 + +使用Python、酒店评论数据集和NLTK的情感分析，您可以发现： + +* 评论中最常用的词汇和短语是什么？ +* 描述酒店的官方*标签*是否与评论评分相关（例如，某个酒店的*家庭带小孩*标签是否比*独行旅客*标签有更多负面评论，这可能表明该酒店更适合*独行旅客*？） +* NLTK的情感评分是否与酒店评论者的数值评分“吻合”？ + +#### 数据集 + +让我们探索您已下载并保存到本地的数据集。使用VS Code或Excel等编辑器打开文件。 + +数据集的标题如下： + +*Hotel_Address, Additional_Number_of_Scoring, Review_Date, Average_Score, Hotel_Name, Reviewer_Nationality, Negative_Review, Review_Total_Negative_Word_Counts, Total_Number_of_Reviews, Positive_Review, Review_Total_Positive_Word_Counts, Total_Number_of_Reviews_Reviewer_Has_Given, Reviewer_Score, Tags, days_since_review, lat, lng* + +以下是按类别分组的标题，可能更容易检查： +##### 酒店相关列 + +* `Hotel_Name`, `Hotel_Address`, `lat`（纬度）, `lng`（经度） + * 使用*lat*和*lng*，您可以使用Python绘制一张地图，显示酒店位置（或许可以根据正面和负面评论进行颜色编码） + * Hotel_Address对我们来说似乎没有明显的用处，我们可能会将其替换为国家名称以便更容易排序和搜索 + +**酒店元评论列** + +* `Average_Score` + * 根据数据集创建者的说法，此列是*酒店的平均评分，基于过去一年内的最新评论计算*。这似乎是一种不寻常的评分计算方式，但由于数据是抓取的，我们暂时接受这一点。 + + ✅ 根据此数据中的其他列，您能想到另一种计算平均评分的方法吗？ + +* `Total_Number_of_Reviews` + * 此酒店收到的评论总数——尚不清楚（需要编写一些代码）这是否指数据集中的评论。 +* `Additional_Number_of_Scoring` + * 表示评论者给出了评分但没有写正面或负面评论 + +**评论相关列** + +- `Reviewer_Score` + - 这是一个数值，最多有1位小数，范围在2.5到10之间 + - 未解释为何最低评分为2.5 +- `Negative_Review` + - 如果评论者未写任何内容，此字段将显示“**No Negative**” + - 请注意，评论者可能会在负面评论列中写正面评论（例如，“这家酒店没有任何不好的地方”） +- `Review_Total_Negative_Word_Counts` + - 较高的负面词汇计数表明评分较低（无需检查情感性） +- `Positive_Review` + - 如果评论者未写任何内容，此字段将显示“**No Positive**” + - 请注意，评论者可能会在正面评论列中写负面评论（例如，“这家酒店完全没有任何好的地方”） +- `Review_Total_Positive_Word_Counts` + - 较高的正面词汇计数表明评分较高（无需检查情感性） +- `Review_Date`和`days_since_review` + - 可以对评论应用新鲜度或陈旧度的衡量（较旧的评论可能不如较新的评论准确，因为酒店管理可能发生了变化，或者进行了装修，或者新增了泳池等） +- `Tags` + - 这些是评论者可能选择的简短描述，用于描述他们的客人类型（例如独行或家庭）、房间类型、入住时长以及评论提交方式。 + - 不幸的是，使用这些标签存在问题，请查看下面讨论其实用性的部分 + +**评论者相关列** + +- `Total_Number_of_Reviews_Reviewer_Has_Given` + - 这可能是推荐模型中的一个因素，例如，如果您可以确定评论数量较多的评论者（有数百条评论）更倾向于给出负面而非正面评论。然而，任何特定评论的评论者并未通过唯一代码标识，因此无法链接到一组评论。有30位评论者有100条或更多评论，但很难看出这如何帮助推荐模型。 +- `Reviewer_Nationality` + - 有些人可能认为某些国籍更倾向于给出正面或负面评论，因为有某种国家倾向。构建这样的轶事观点到模型中时要小心。这些是国家（有时是种族）刻板印象，每位评论者都是根据自己的经历写评论的个体。评论可能受到许多因素的影响，例如他们之前的酒店住宿经历、旅行距离以及个人性格。认为评论评分是由国籍决定的很难证明。 + +##### 示例 + +| 平均评分 | 评论总数 | 评论者评分 | 负面评论 | 正面评论 | 标签 | +| -------- | -------- | ---------- | :------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------ | ----------------------------------------------------------------------------------------- | +| 7.8 | 1945 | 2.5 | 这家酒店目前不是酒店而是一个施工现场，我在长途旅行后休息时被早晨和全天的建筑噪音折磨。人们整天在相邻房间工作，例如使用凿岩机。我要求换房，但没有安静的房间可用。更糟糕的是，我被多收了费用。我在晚上退房，因为我需要赶早班飞机，并收到了一张适当的账单。一天后，酒店未经我同意又收取了超出预订价格的费用。这是一个可怕的地方，不要惩罚自己来这里预订。 | 没有任何好处，糟糕的地方，远离这里 | 商务旅行，情侣，标准双人房，入住2晚 | + +如您所见，这位客人在这家酒店的入住体验非常糟糕。酒店的平均评分为7.8，有1945条评论，但这位评论者给出了2.5分，并写了115个词描述他们的负面体验。如果他们在正面评论列中未写任何内容，您可能会推测没有任何正面内容，但他们写了7个词警告其他人。如果我们仅仅统计词汇数量而不是词汇的意义或情感，我们可能会对评论者的意图有一个偏差的看法。奇怪的是，他们的评分为2.5令人困惑，因为如果酒店体验如此糟糕，为什么还给了任何分数？仔细调查数据集，您会发现最低可能评分是2.5，而不是0。最高可能评分是10。 + +##### 标签 + +如上所述，乍一看，使用`Tags`来分类数据似乎是合理的。不幸的是，这些标签并未标准化，这意味着在某个酒店中，选项可能是*单人房*、*双床房*和*双人房*，但在另一个酒店中，它们可能是*豪华单人房*、*经典大床房*和*行政特大床房*。这些可能是相同的房型，但有如此多的变体，选择变成了： + +1. 尝试将所有术语更改为单一标准，这非常困难，因为不清楚每种情况的转换路径（例如，*经典单人房*映射到*单人房*，但*带庭院花园或城市景观的高级大床房*则更难映射） + +1. 我们可以采取NLP方法，测量某些术语的频率，例如*独行*、*商务旅客*或*带小孩的家庭*，并将其应用到每家酒店中，从而将其纳入推荐模型 + +标签通常（但并非总是）是一个包含5到6个逗号分隔值的单一字段，对应于*旅行类型*、*客人类型*、*房间类型*、*入住天数*以及*评论提交设备类型*。然而，由于某些评论者未填写每个字段（可能留空一个字段），值并不总是按相同顺序排列。 + +例如，考虑*群体类型*。在`Tags`列中，此字段有1025种独特可能性，不幸的是，其中只有部分提到群体（有些是房间类型等）。如果您仅过滤提到家庭的标签，结果包含许多*家庭房*类型的结果。如果您包括术语*with*，即统计*家庭带*的值，结果会更好，在515,000条结果中有超过80,000条包含短语“带小孩的家庭”或“带大孩的家庭”。 + +这意味着标签列对我们来说并非完全无用，但需要一些工作才能使其变得有用。 + +##### 酒店平均评分 + +数据集中有一些奇怪或不一致的地方我无法解释，但在此列出以便您在构建模型时注意。如果您能解决，请在讨论区告诉我们！ + +数据集有以下与平均评分和评论数量相关的列： + +1. Hotel_Name +2. Additional_Number_of_Scoring +3. Average_Score +4. Total_Number_of_Reviews +5. Reviewer_Score + +数据集中评论最多的单一酒店是*Britannia International Hotel Canary Wharf*，有4789条评论（总计515,000条）。但如果我们查看此酒店的`Total_Number_of_Reviews`值，它是9086。您可能会推测有更多评分没有评论，因此我们可能需要加上`Additional_Number_of_Scoring`列的值。该值是2682，加上4789得到7471，仍然比`Total_Number_of_Reviews`少1615。 + +如果您查看`Average_Score`列，您可能会推测它是数据集中评论的平均值，但Kaggle的描述是“*酒店的平均评分，基于过去一年内的最新评论计算*”。这似乎不太有用，但我们可以根据数据集中的评论评分计算自己的平均值。以同一家酒店为例，给出的平均酒店评分是7.1，但计算得出的评分（数据集中评论者评分的平均值）是6.8。这很接近，但不是相同的值，我们只能猜测`Additional_Number_of_Scoring`评论中的评分将平均值提高到7.1。不幸的是，由于无法测试或证明这一假设，使用或信任`Average_Score`、`Additional_Number_of_Scoring`和`Total_Number_of_Reviews`变得困难，因为它们基于或引用了我们没有的数据。 + +更复杂的是，评论数量第二多的酒店的计算平均评分是8.12，而数据集中的`Average_Score`是8.1。这是否正确评分是巧合还是第一家酒店存在不一致？ + +考虑到这些酒店可能是异常值，并且可能大多数值是匹配的（但由于某些原因有些不匹配），我们将在下一步编写一个简短的程序来探索数据集中的值并确定这些值的正确使用（或不使用）。 +> 🚨 注意事项 +> +> 在处理这个数据集时，你将编写代码从文本中计算某些内容，而无需自己阅读或分析文本。这正是自然语言处理（NLP）的核心：无需人工参与即可解读意义或情感。然而，有可能你会读到一些负面评论。我建议你不要这样做，因为没有必要。有些评论很荒谬，或者是与酒店无关的负面评论，比如“天气不好”，这是酒店甚至任何人都无法控制的事情。但有些评论也有阴暗的一面。有时负面评论可能带有种族歧视、性别歧视或年龄歧视。这种情况令人遗憾，但在从公共网站抓取的数据集中是可以预料的。一些评论者会留下让人觉得反感、不适或不安的评论。最好让代码来衡量情感，而不是自己阅读这些评论后感到不快。话虽如此，这类评论只占少数，但它们确实存在。 +## 练习 - 数据探索 +### 加载数据 + +通过视觉检查数据已经足够了，现在你需要编写一些代码来获取答案！本节将使用 pandas 库。你的第一个任务是确保能够加载并读取 CSV 数据。pandas 库提供了一个快速的 CSV 加载器，加载结果会存储在一个 dataframe 中，就像之前的课程一样。我们加载的 CSV 文件有超过 50 万行，但只有 17 列。pandas 提供了许多强大的方法来与 dataframe 交互，包括对每一行执行操作的能力。 + +从现在开始，这节课将包含代码片段、代码解释以及对结果的讨论。请使用提供的 _notebook.ipynb_ 文件来编写代码。 + +让我们从加载你将使用的数据文件开始： + +```python +# Load the hotel reviews from CSV +import pandas as pd +import time +# importing time so the start and end time can be used to calculate file loading time +print("Loading data file now, this could take a while depending on file size") +start = time.time() +# df is 'DataFrame' - make sure you downloaded the file to the data folder +df = pd.read_csv('../../data/Hotel_Reviews.csv') +end = time.time() +print("Loading took " + str(round(end - start, 2)) + " seconds") +``` + +现在数据已经加载，我们可以对其进行一些操作。在接下来的部分中，请将这段代码保留在程序的顶部。 + +## 数据探索 + +在这个例子中，数据已经是*干净的*，这意味着它已经可以直接使用，并且没有其他语言的字符，这些字符可能会干扰只期望英文字符的算法。 + +✅ 你可能需要处理一些需要初步格式化的数据，然后再应用 NLP 技术，但这次不需要。如果需要处理非英文字符，你会怎么做？ + +花点时间确保数据加载后，你可以通过代码来探索它。很容易想要直接关注 `Negative_Review` 和 `Positive_Review` 列。它们包含了自然文本，供你的 NLP 算法处理。但等等！在跳入 NLP 和情感分析之前，你应该按照下面的代码检查数据集中给出的值是否与通过 pandas 计算的值一致。 + +## Dataframe 操作 + +本节的第一个任务是通过编写代码检查以下断言是否正确（无需更改 dataframe）。 + +> 就像许多编程任务一样，完成这些任务的方法有很多，但一个好的建议是尽可能简单、易懂，尤其是当你以后需要回顾这段代码时。对于 dataframe，pandas 提供了一个全面的 API，通常可以高效地完成你想要的操作。 + +将以下问题视为编码任务，尝试在不查看答案的情况下完成它们。 + +1. 打印出刚刚加载的 dataframe 的*形状*（即行数和列数）。 +2. 计算评论者国籍的频率统计： + 1. `Reviewer_Nationality` 列中有多少个不同的值？它们分别是什么？ + 2. 数据集中最常见的评论者国籍是什么？（打印国家和评论数量） + 3. 接下来最常见的 10 个国籍及其频率统计是什么？ +3. 对于评论最多的前 10 个国籍，每个国籍评论最多的酒店是什么？ +4. 数据集中每个酒店的评论数量是多少？（按酒店统计频率） +5. 数据集中每个酒店都有一个 `Average_Score` 列，但你也可以计算一个平均分（即根据数据集中每个酒店的所有评论分数计算平均值）。为 dataframe 添加一个新列，列名为 `Calc_Average_Score`，存储计算的平均分。 +6. 是否有酒店的 `Average_Score` 和 `Calc_Average_Score`（四舍五入到小数点后一位）相同？ + 1. 尝试编写一个 Python 函数，该函数接受一个 Series（行）作为参数，比较这两个值，并在值不相等时打印消息。然后使用 `.apply()` 方法对每一行应用该函数。 +7. 计算并打印 `Negative_Review` 列中值为 "No Negative" 的行数。 +8. 计算并打印 `Positive_Review` 列中值为 "No Positive" 的行数。 +9. 计算并打印 `Positive_Review` 列中值为 "No Positive" 且 `Negative_Review` 列中值为 "No Negative" 的行数。 + +### 代码答案 + +1. 打印出刚刚加载的 dataframe 的*形状*（即行数和列数） + + ```python + print("The shape of the data (rows, cols) is " + str(df.shape)) + > The shape of the data (rows, cols) is (515738, 17) + ``` + +2. 计算评论者国籍的频率统计： + + 1. `Reviewer_Nationality` 列中有多少个不同的值？它们分别是什么？ + 2. 数据集中最常见的评论者国籍是什么？（打印国家和评论数量） + + ```python + # value_counts() creates a Series object that has index and values in this case, the country and the frequency they occur in reviewer nationality + nationality_freq = df["Reviewer_Nationality"].value_counts() + print("There are " + str(nationality_freq.size) + " different nationalities") + # print first and last rows of the Series. Change to nationality_freq.to_string() to print all of the data + print(nationality_freq) + + There are 227 different nationalities + United Kingdom 245246 + United States of America 35437 + Australia 21686 + Ireland 14827 + United Arab Emirates 10235 + ... + Comoros 1 + Palau 1 + Northern Mariana Islands 1 + Cape Verde 1 + Guinea 1 + Name: Reviewer_Nationality, Length: 227, dtype: int64 + ``` + + 3. 接下来最常见的 10 个国籍及其频率统计是什么？ + + ```python + print("The highest frequency reviewer nationality is " + str(nationality_freq.index[0]).strip() + " with " + str(nationality_freq[0]) + " reviews.") + # Notice there is a leading space on the values, strip() removes that for printing + # What is the top 10 most common nationalities and their frequencies? + print("The next 10 highest frequency reviewer nationalities are:") + print(nationality_freq[1:11].to_string()) + + The highest frequency reviewer nationality is United Kingdom with 245246 reviews. + The next 10 highest frequency reviewer nationalities are: + United States of America 35437 + Australia 21686 + Ireland 14827 + United Arab Emirates 10235 + Saudi Arabia 8951 + Netherlands 8772 + Switzerland 8678 + Germany 7941 + Canada 7894 + France 7296 + ``` + +3. 对于评论最多的前 10 个国籍，每个国籍评论最多的酒店是什么？ + + ```python + # What was the most frequently reviewed hotel for the top 10 nationalities + # Normally with pandas you will avoid an explicit loop, but wanted to show creating a new dataframe using criteria (don't do this with large amounts of data because it could be very slow) + for nat in nationality_freq[:10].index: + # First, extract all the rows that match the criteria into a new dataframe + nat_df = df[df["Reviewer_Nationality"] == nat] + # Now get the hotel freq + freq = nat_df["Hotel_Name"].value_counts() + print("The most reviewed hotel for " + str(nat).strip() + " was " + str(freq.index[0]) + " with " + str(freq[0]) + " reviews.") + + The most reviewed hotel for United Kingdom was Britannia International Hotel Canary Wharf with 3833 reviews. + The most reviewed hotel for United States of America was Hotel Esther a with 423 reviews. + The most reviewed hotel for Australia was Park Plaza Westminster Bridge London with 167 reviews. + The most reviewed hotel for Ireland was Copthorne Tara Hotel London Kensington with 239 reviews. + The most reviewed hotel for United Arab Emirates was Millennium Hotel London Knightsbridge with 129 reviews. + The most reviewed hotel for Saudi Arabia was The Cumberland A Guoman Hotel with 142 reviews. + The most reviewed hotel for Netherlands was Jaz Amsterdam with 97 reviews. + The most reviewed hotel for Switzerland was Hotel Da Vinci with 97 reviews. + The most reviewed hotel for Germany was Hotel Da Vinci with 86 reviews. + The most reviewed hotel for Canada was St James Court A Taj Hotel London with 61 reviews. + ``` + +4. 数据集中每个酒店的评论数量是多少？（按酒店统计频率） + + ```python + # First create a new dataframe based on the old one, removing the uneeded columns + hotel_freq_df = df.drop(["Hotel_Address", "Additional_Number_of_Scoring", "Review_Date", "Average_Score", "Reviewer_Nationality", "Negative_Review", "Review_Total_Negative_Word_Counts", "Positive_Review", "Review_Total_Positive_Word_Counts", "Total_Number_of_Reviews_Reviewer_Has_Given", "Reviewer_Score", "Tags", "days_since_review", "lat", "lng"], axis = 1) + + # Group the rows by Hotel_Name, count them and put the result in a new column Total_Reviews_Found + hotel_freq_df['Total_Reviews_Found'] = hotel_freq_df.groupby('Hotel_Name').transform('count') + + # Get rid of all the duplicated rows + hotel_freq_df = hotel_freq_df.drop_duplicates(subset = ["Hotel_Name"]) + display(hotel_freq_df) + ``` + | Hotel_Name | Total_Number_of_Reviews | Total_Reviews_Found | + | :----------------------------------------: | :---------------------: | :-----------------: | + | Britannia International Hotel Canary Wharf | 9086 | 4789 | + | Park Plaza Westminster Bridge London | 12158 | 4169 | + | Copthorne Tara Hotel London Kensington | 7105 | 3578 | + | ... | ... | ... | + | Mercure Paris Porte d Orleans | 110 | 10 | + | Hotel Wagner | 135 | 10 | + | Hotel Gallitzinberg | 173 | 8 | + + 你可能会注意到，*数据集中统计的*结果与 `Total_Number_of_Reviews` 的值不匹配。目前尚不清楚数据集中该值是否表示酒店的总评论数，但并未全部被抓取，或者是其他计算方式。由于这种不确定性，`Total_Number_of_Reviews` 并未用于模型中。 + +5. 数据集中每个酒店都有一个 `Average_Score` 列，但你也可以计算一个平均分（即根据数据集中每个酒店的所有评论分数计算平均值）。为 dataframe 添加一个新列，列名为 `Calc_Average_Score`，存储计算的平均分。打印出 `Hotel_Name`、`Average_Score` 和 `Calc_Average_Score` 列。 + + ```python + # define a function that takes a row and performs some calculation with it + def get_difference_review_avg(row): + return row["Average_Score"] - row["Calc_Average_Score"] + + # 'mean' is mathematical word for 'average' + df['Calc_Average_Score'] = round(df.groupby('Hotel_Name').Reviewer_Score.transform('mean'), 1) + + # Add a new column with the difference between the two average scores + df["Average_Score_Difference"] = df.apply(get_difference_review_avg, axis = 1) + + # Create a df without all the duplicates of Hotel_Name (so only 1 row per hotel) + review_scores_df = df.drop_duplicates(subset = ["Hotel_Name"]) + + # Sort the dataframe to find the lowest and highest average score difference + review_scores_df = review_scores_df.sort_values(by=["Average_Score_Difference"]) + + display(review_scores_df[["Average_Score_Difference", "Average_Score", "Calc_Average_Score", "Hotel_Name"]]) + ``` + + 你可能还会疑惑 `Average_Score` 的值为何有时与计算的平均分不同。由于我们无法知道为什么有些值匹配，而其他值存在差异，在这种情况下，最安全的做法是使用评论分数自行计算平均分。不过，差异通常非常小，以下是数据集中平均分与计算平均分差异最大的酒店： + + | Average_Score_Difference | Average_Score | Calc_Average_Score | Hotel_Name | + | :----------------------: | :-----------: | :----------------: | ------------------------------------------: | + | -0.8 | 7.7 | 8.5 | Best Western Hotel Astoria | + | -0.7 | 8.8 | 9.5 | Hotel Stendhal Place Vend me Paris MGallery | + | -0.7 | 7.5 | 8.2 | Mercure Paris Porte d Orleans | + | -0.7 | 7.9 | 8.6 | Renaissance Paris Vendome Hotel | + | -0.5 | 7.0 | 7.5 | Hotel Royal Elys es | + | ... | ... | ... | ... | + | 0.7 | 7.5 | 6.8 | Mercure Paris Op ra Faubourg Montmartre | + | 0.8 | 7.1 | 6.3 | Holiday Inn Paris Montparnasse Pasteur | + | 0.9 | 6.8 | 5.9 | Villa Eugenie | + | 0.9 | 8.6 | 7.7 | MARQUIS Faubourg St Honor Relais Ch teaux | + | 1.3 | 7.2 | 5.9 | Kube Hotel Ice Bar | + + 只有 1 家酒店的分数差异大于 1，这意味着我们可以忽略这些差异，使用计算的平均分。 + +6. 计算并打印 `Negative_Review` 列中值为 "No Negative" 的行数。 + +7. 计算并打印 `Positive_Review` 列中值为 "No Positive" 的行数。 + +8. 计算并打印 `Positive_Review` 列中值为 "No Positive" 且 `Negative_Review` 列中值为 "No Negative" 的行数。 + + ```python + # with lambdas: + start = time.time() + no_negative_reviews = df.apply(lambda x: True if x['Negative_Review'] == "No Negative" else False , axis=1) + print("Number of No Negative reviews: " + str(len(no_negative_reviews[no_negative_reviews == True].index))) + + no_positive_reviews = df.apply(lambda x: True if x['Positive_Review'] == "No Positive" else False , axis=1) + print("Number of No Positive reviews: " + str(len(no_positive_reviews[no_positive_reviews == True].index))) + + both_no_reviews = df.apply(lambda x: True if x['Negative_Review'] == "No Negative" and x['Positive_Review'] == "No Positive" else False , axis=1) + print("Number of both No Negative and No Positive reviews: " + str(len(both_no_reviews[both_no_reviews == True].index))) + end = time.time() + print("Lambdas took " + str(round(end - start, 2)) + " seconds") + + Number of No Negative reviews: 127890 + Number of No Positive reviews: 35946 + Number of both No Negative and No Positive reviews: 127 + Lambdas took 9.64 seconds + ``` + +## 另一种方法 + +另一种方法是不用 Lambdas，而是使用 sum 来统计行数： + + ```python + # without lambdas (using a mixture of notations to show you can use both) + start = time.time() + no_negative_reviews = sum(df.Negative_Review == "No Negative") + print("Number of No Negative reviews: " + str(no_negative_reviews)) + + no_positive_reviews = sum(df["Positive_Review"] == "No Positive") + print("Number of No Positive reviews: " + str(no_positive_reviews)) + + both_no_reviews = sum((df.Negative_Review == "No Negative") & (df.Positive_Review == "No Positive")) + print("Number of both No Negative and No Positive reviews: " + str(both_no_reviews)) + + end = time.time() + print("Sum took " + str(round(end - start, 2)) + " seconds") + + Number of No Negative reviews: 127890 + Number of No Positive reviews: 35946 + Number of both No Negative and No Positive reviews: 127 + Sum took 0.19 seconds + ``` + + 你可能注意到，有 127 行的 `Negative_Review` 和 `Positive_Review` 列分别为 "No Negative" 和 "No Positive"。这意味着评论者给酒店打了一个数字分数，但没有写任何正面或负面的评论。幸运的是，这只是很少的一部分数据（127 行占 515738 行的 0.02%），所以它可能不会对我们的模型或结果产生显著影响。不过，你可能没有预料到一个评论数据集中会有没有评论内容的行，因此值得探索数据以发现类似的情况。 + +现在你已经探索了数据集，在下一节课中，你将过滤数据并添加一些情感分析。 + +--- +## 🚀挑战 + +正如我们在之前的课程中看到的，这节课展示了理解数据及其特性在执行操作之前是多么重要。特别是基于文本的数据需要仔细检查。深入挖掘各种以文本为主的数据集，看看是否能发现可能引入偏差或导致情感倾斜的地方。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +参加 [NLP 学习路径](https://docs.microsoft.com/learn/paths/explore-natural-language-processing/?WT.mc_id=academic-77952-leestott)，了解构建语音和文本模型时可以尝试的工具。 + +## 作业 + +[NLTK](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/assignment.md b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/assignment.md new file mode 100644 index 000000000..2490acf81 --- /dev/null +++ b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/assignment.md @@ -0,0 +1,10 @@ +# NLTK + +## 使用说明 + +NLTK 是一个广受欢迎的库，用于计算语言学和自然语言处理。请利用这个机会阅读 '[NLTK 书籍](https://www.nltk.org/book/)' 并尝试其中的练习。在这个不计分的作业中，您将更深入地了解这个库。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/notebook.ipynb b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/notebook.ipynb new file mode 100644 index 000000000..e69de29bb diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/Julia/README.md b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/Julia/README.md new file mode 100644 index 000000000..c0d51b129 --- /dev/null +++ b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/R/README.md b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/R/README.md new file mode 100644 index 000000000..e939b3c66 --- /dev/null +++ b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/notebook.ipynb b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/notebook.ipynb new file mode 100644 index 000000000..113161615 --- /dev/null +++ b/translations/zh-CN/6-NLP/4-Hotel-Reviews-1/solution/notebook.ipynb @@ -0,0 +1,174 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 4, + "coopTranslator": { + "original_hash": "2d05e7db439376aa824f4b387f8324ca", + "translation_date": "2025-09-03T20:57:48+00:00", + "source_file": "6-NLP/4-Hotel-Reviews-1/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# EDA\n", + "import pandas as pd\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def get_difference_review_avg(row):\n", + " return row[\"Average_Score\"] - row[\"Calc_Average_Score\"]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the hotel reviews from CSV\n", + "print(\"Loading data file now, this could take a while depending on file size\")\n", + "start = time.time()\n", + "df = pd.read_csv('../../data/Hotel_Reviews.csv')\n", + "end = time.time()\n", + "print(\"Loading took \" + str(round(end - start, 2)) + \" seconds\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# What shape is the data (rows, columns)?\n", + "print(\"The shape of the data (rows, cols) is \" + str(df.shape))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# value_counts() creates a Series object that has index and values\n", + "# in this case, the country and the frequency they occur in reviewer nationality\n", + "nationality_freq = df[\"Reviewer_Nationality\"].value_counts()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# What reviewer nationality is the most common in the dataset?\n", + "print(\"The highest frequency reviewer nationality is \" + str(nationality_freq.index[0]).strip() + \" with \" + str(nationality_freq[0]) + \" reviews.\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# What is the top 10 most common nationalities and their frequencies?\n", + "print(\"The top 10 highest frequency reviewer nationalities are:\")\n", + "print(nationality_freq[0:10].to_string())\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# How many unique nationalities are there?\n", + "print(\"There are \" + str(nationality_freq.index.size) + \" unique nationalities in the dataset\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# What was the most frequently reviewed hotel for the top 10 nationalities - print the hotel and number of reviews\n", + "for nat in nationality_freq[:10].index:\n", + " # First, extract all the rows that match the criteria into a new dataframe\n", + " nat_df = df[df[\"Reviewer_Nationality\"] == nat] \n", + " # Now get the hotel freq\n", + " freq = nat_df[\"Hotel_Name\"].value_counts()\n", + " print(\"The most reviewed hotel for \" + str(nat).strip() + \" was \" + str(freq.index[0]) + \" with \" + str(freq[0]) + \" reviews.\") \n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# How many reviews are there per hotel (frequency count of hotel) and do the results match the value in `Total_Number_of_Reviews`?\n", + "# First create a new dataframe based on the old one, removing the uneeded columns\n", + "hotel_freq_df = df.drop([\"Hotel_Address\", \"Additional_Number_of_Scoring\", \"Review_Date\", \"Average_Score\", \"Reviewer_Nationality\", \"Negative_Review\", \"Review_Total_Negative_Word_Counts\", \"Positive_Review\", \"Review_Total_Positive_Word_Counts\", \"Total_Number_of_Reviews_Reviewer_Has_Given\", \"Reviewer_Score\", \"Tags\", \"days_since_review\", \"lat\", \"lng\"], axis = 1)\n", + "# Group the rows by Hotel_Name, count them and put the result in a new column Total_Reviews_Found\n", + "hotel_freq_df['Total_Reviews_Found'] = hotel_freq_df.groupby('Hotel_Name').transform('count')\n", + "# Get rid of all the duplicated rows\n", + "hotel_freq_df = hotel_freq_df.drop_duplicates(subset = [\"Hotel_Name\"])\n", + "print()\n", + "print(hotel_freq_df.to_string())\n", + "print(str(hotel_freq_df.shape))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# While there is an `Average_Score` for each hotel according to the dataset, \n", + "# you can also calculate an average score (getting the average of all reviewer scores in the dataset for each hotel)\n", + "# Add a new column to your dataframe with the column header `Calc_Average_Score` that contains that calculated average. \n", + "df['Calc_Average_Score'] = round(df.groupby('Hotel_Name').Reviewer_Score.transform('mean'), 1)\n", + "# Add a new column with the difference between the two average scores\n", + "df[\"Average_Score_Difference\"] = df.apply(get_difference_review_avg, axis = 1)\n", + "# Create a df without all the duplicates of Hotel_Name (so only 1 row per hotel)\n", + "review_scores_df = df.drop_duplicates(subset = [\"Hotel_Name\"])\n", + "# Sort the dataframe to find the lowest and highest average score difference\n", + "review_scores_df = review_scores_df.sort_values(by=[\"Average_Score_Difference\"])\n", + "print(review_scores_df[[\"Average_Score_Difference\", \"Average_Score\", \"Calc_Average_Score\", \"Hotel_Name\"]])\n", + "# Do any hotels have the same (rounded to 1 decimal place) `Average_Score` and `Calc_Average_Score`?\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/README.md b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/README.md new file mode 100644 index 000000000..c212881e0 --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/README.md @@ -0,0 +1,375 @@ +# 使用酒店评论进行情感分析 + +现在您已经详细探索了数据集，是时候筛选列并对数据集应用NLP技术，以便获得关于酒店的新见解。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +### 筛选与情感分析操作 + +正如您可能已经注意到的，数据集存在一些问题。一些列充满了无用的信息，另一些列看起来不正确。即使它们是正确的，也不清楚它们是如何计算的，您无法通过自己的计算独立验证答案。 + +## 练习：进一步处理数据 + +对数据进行更多清理。添加一些后续会用到的列，修改其他列中的值，并完全删除某些列。 + +1. 初步列处理 + + 1. 删除 `lat` 和 `lng` + + 2. 将 `Hotel_Address` 的值替换为以下值（如果地址中包含城市和国家的名称，则将其更改为仅包含城市和国家）。 + + 数据集中仅包含以下城市和国家： + + 阿姆斯特丹，荷兰 + 巴塞罗那，西班牙 + 伦敦，英国 + 米兰，意大利 + 巴黎，法国 + 维也纳，奥地利 + + ```python + def replace_address(row): + if "Netherlands" in row["Hotel_Address"]: + return "Amsterdam, Netherlands" + elif "Barcelona" in row["Hotel_Address"]: + return "Barcelona, Spain" + elif "United Kingdom" in row["Hotel_Address"]: + return "London, United Kingdom" + elif "Milan" in row["Hotel_Address"]: + return "Milan, Italy" + elif "France" in row["Hotel_Address"]: + return "Paris, France" + elif "Vienna" in row["Hotel_Address"]: + return "Vienna, Austria" + + # Replace all the addresses with a shortened, more useful form + df["Hotel_Address"] = df.apply(replace_address, axis = 1) + # The sum of the value_counts() should add up to the total number of reviews + print(df["Hotel_Address"].value_counts()) + ``` + + 现在您可以查询国家级别的数据： + + ```python + display(df.groupby("Hotel_Address").agg({"Hotel_Name": "nunique"})) + ``` + + | Hotel_Address | Hotel_Name | + | :--------------------- | :--------: | + | 阿姆斯特丹，荷兰 | 105 | + | 巴塞罗那，西班牙 | 211 | + | 伦敦，英国 | 400 | + | 米兰，意大利 | 162 | + | 巴黎，法国 | 458 | + | 维也纳，奥地利 | 158 | + +2. 处理酒店元评论列 + + 1. 删除 `Additional_Number_of_Scoring` + + 2. 将 `Total_Number_of_Reviews` 替换为数据集中该酒店实际的评论总数 + + 3. 用我们自己计算的分数替换 `Average_Score` + + ```python + # Drop `Additional_Number_of_Scoring` + df.drop(["Additional_Number_of_Scoring"], axis = 1, inplace=True) + # Replace `Total_Number_of_Reviews` and `Average_Score` with our own calculated values + df.Total_Number_of_Reviews = df.groupby('Hotel_Name').transform('count') + df.Average_Score = round(df.groupby('Hotel_Name').Reviewer_Score.transform('mean'), 1) + ``` + +3. 处理评论列 + + 1. 删除 `Review_Total_Negative_Word_Counts`、`Review_Total_Positive_Word_Counts`、`Review_Date` 和 `days_since_review` + + 2. 保留 `Reviewer_Score`、`Negative_Review` 和 `Positive_Review` 不变 + + 3. 暂时保留 `Tags` + + - 我们将在下一部分对标签进行一些额外的筛选操作，然后再删除标签 + +4. 处理评论者列 + + 1. 删除 `Total_Number_of_Reviews_Reviewer_Has_Given` + + 2. 保留 `Reviewer_Nationality` + +### 标签列 + +`Tag` 列是一个问题，因为它是一个以文本形式存储的列表。不幸的是，该列中的子部分顺序和数量并不总是相同的。由于数据集有515,000行和1427家酒店，每个评论者可以选择的选项略有不同，因此人类很难识别出需要关注的正确短语。这正是NLP的优势所在。您可以扫描文本，找到最常见的短语并统计它们的数量。 + +不幸的是，我们对单个单词不感兴趣，而是对多词短语（例如 *商务旅行*）感兴趣。在如此庞大的数据（6762646个单词）上运行多词频率分布算法可能需要极长的时间，但在不了解数据的情况下，这似乎是必要的开销。这时，探索性数据分析就派上用场了，因为您已经看到了标签的样本，例如 `[' 商务旅行 ', ' 独自旅行者 ', ' 单人房 ', ' 住了5晚 ', ' 从移动设备提交 ']`，您可以开始思考是否有可能大幅减少需要处理的数据量。幸运的是，这是可能的——但首先您需要遵循一些步骤来确定感兴趣的标签。 + +### 筛选标签 + +记住，数据集的目标是添加情感和列，以帮助您选择最佳酒店（无论是为自己还是为客户创建一个酒店推荐机器人）。您需要问自己，这些标签在最终数据集中是否有用。以下是一个解释（如果您出于其他原因需要数据集，不同的标签可能会被保留或删除）： + +1. 旅行类型是相关的，应该保留 +2. 客人群体类型是重要的，应该保留 +3. 客人入住的房间、套房或工作室类型是无关的（所有酒店基本上都有相同的房间） +4. 提交评论的设备是无关的 +5. 评论者入住的晚数*可能*相关，如果您认为更长的入住时间意味着他们更喜欢酒店，但这有点牵强，可能无关 + +总之，**保留两类标签，删除其他标签**。 + +首先，您不想在标签格式更好之前统计它们，因此需要移除方括号和引号。您可以通过多种方式完成此操作，但您需要最快的方法，因为处理大量数据可能需要很长时间。幸运的是，pandas 提供了一种简单的方法来完成这些步骤。 + +```Python +# Remove opening and closing brackets +df.Tags = df.Tags.str.strip("[']") +# remove all quotes too +df.Tags = df.Tags.str.replace(" ', '", ",", regex = False) +``` + +每个标签变成类似于：`商务旅行, 独自旅行者, 单人房, 住了5晚, 从移动设备提交`。 + +接下来我们发现一个问题。一些评论（或行）有5列，一些有3列，一些有6列。这是数据集创建方式的结果，很难修复。您希望统计每个短语的频率，但它们在每条评论中的顺序不同，因此统计可能会出错，某些酒店可能没有被分配到它应得的标签。 + +相反，您可以利用不同的顺序，因为每个标签是多词的，但也用逗号分隔！最简单的方法是创建6个临时列，将每个标签插入到对应顺序的列中。然后，您可以将这6列合并为一个大列，并对结果列运行 `value_counts()` 方法。打印出来后，您会看到有2428个唯一标签。以下是一个小样本： + +| 标签 | 计数 | +| --------------------------------- | ------ | +| 休闲旅行 | 417778 | +| 从移动设备提交 | 307640 | +| 夫妻 | 252294 | +| 住了1晚 | 193645 | +| 住了2晚 | 133937 | +| 独自旅行者 | 108545 | +| 住了3晚 | 95821 | +| 商务旅行 | 82939 | +| 团体 | 65392 | +| 带小孩的家庭 | 61015 | +| 住了4晚 | 47817 | +| 双人房 | 35207 | +| 标准双人房 | 32248 | +| 高级双人房 | 31393 | +| 带大孩的家庭 | 26349 | +| 豪华双人房 | 24823 | +| 双人或双床房 | 22393 | +| 住了5晚 | 20845 | +| 标准双人或双床房 | 17483 | +| 经典双人房 | 16989 | +| 高级双人或双床房 | 13570 | +| 2间房 | 12393 | + +一些常见标签如 `从移动设备提交` 对我们没有用，因此在统计短语出现次数之前删除它们可能是明智的，但由于这是一个非常快速的操作，您可以将它们保留并忽略它们。 + +### 删除入住时长标签 + +删除这些标签是第一步，这稍微减少了需要考虑的标签总数。注意，您并没有从数据集中删除它们，只是选择不将它们作为评论数据集中需要统计/保留的值。 + +| 入住时长 | 计数 | +| -------------- | ------ | +| 住了1晚 | 193645 | +| 住了2晚 | 133937 | +| 住了3晚 | 95821 | +| 住了4晚 | 47817 | +| 住了5晚 | 20845 | +| 住了6晚 | 9776 | +| 住了7晚 | 7399 | +| 住了8晚 | 2502 | +| 住了9晚 | 1293 | +| ... | ... | + +房间、套房、工作室、公寓等类型种类繁多。它们的意义大致相同，对您来说并不重要，因此从考虑中删除它们。 + +| 房间类型 | 计数 | +| ---------------------------- | ----- | +| 双人房 | 35207 | +| 标准双人房 | 32248 | +| 高级双人房 | 31393 | +| 豪华双人房 | 24823 | +| 双人或双床房 | 22393 | +| 标准双人或双床房 | 17483 | +| 经典双人房 | 16989 | +| 高级双人或双床房 | 13570 | + +最后，令人欣喜的是（因为几乎不需要处理），您将剩下以下**有用**的标签： + +| 标签 | 计数 | +| --------------------------------------------- | ------ | +| 休闲旅行 | 417778 | +| 夫妻 | 252294 | +| 独自旅行者 | 108545 | +| 商务旅行 | 82939 | +| 团体（与朋友旅行者合并） | 67535 | +| 带小孩的家庭 | 61015 | +| 带大孩的家庭 | 26349 | +| 带宠物 | 1405 | + +您可以认为 `与朋友旅行者` 与 `团体` 基本相同，将两者合并是合理的，如上所示。识别正确标签的代码在 [Tags notebook](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb) 中。 + +最后一步是为每个这些标签创建新列。然后，对于每条评论行，如果 `Tag` 列与新列之一匹配，则添加1，否则添加0。最终结果将是一个统计数据，显示有多少评论者选择了这家酒店（总体上）用于商务、休闲或带宠物入住，这在推荐酒店时是有用的信息。 + +```python +# Process the Tags into new columns +# The file Hotel_Reviews_Tags.py, identifies the most important tags +# Leisure trip, Couple, Solo traveler, Business trip, Group combined with Travelers with friends, +# Family with young children, Family with older children, With a pet +df["Leisure_trip"] = df.Tags.apply(lambda tag: 1 if "Leisure trip" in tag else 0) +df["Couple"] = df.Tags.apply(lambda tag: 1 if "Couple" in tag else 0) +df["Solo_traveler"] = df.Tags.apply(lambda tag: 1 if "Solo traveler" in tag else 0) +df["Business_trip"] = df.Tags.apply(lambda tag: 1 if "Business trip" in tag else 0) +df["Group"] = df.Tags.apply(lambda tag: 1 if "Group" in tag or "Travelers with friends" in tag else 0) +df["Family_with_young_children"] = df.Tags.apply(lambda tag: 1 if "Family with young children" in tag else 0) +df["Family_with_older_children"] = df.Tags.apply(lambda tag: 1 if "Family with older children" in tag else 0) +df["With_a_pet"] = df.Tags.apply(lambda tag: 1 if "With a pet" in tag else 0) + +``` + +### 保存文件 + +最后，将当前数据集保存为一个新名称。 + +```python +df.drop(["Review_Total_Negative_Word_Counts", "Review_Total_Positive_Word_Counts", "days_since_review", "Total_Number_of_Reviews_Reviewer_Has_Given"], axis = 1, inplace=True) + +# Saving new data file with calculated columns +print("Saving results to Hotel_Reviews_Filtered.csv") +df.to_csv(r'../data/Hotel_Reviews_Filtered.csv', index = False) +``` + +## 情感分析操作 + +在最后一部分中，您将对评论列应用情感分析，并将结果保存到数据集中。 + +## 练习：加载并保存筛选后的数据 + +注意，现在您加载的是上一部分保存的筛选后的数据集，而**不是**原始数据集。 + +```python +import time +import pandas as pd +import nltk as nltk +from nltk.corpus import stopwords +from nltk.sentiment.vader import SentimentIntensityAnalyzer +nltk.download('vader_lexicon') + +# Load the filtered hotel reviews from CSV +df = pd.read_csv('../../data/Hotel_Reviews_Filtered.csv') + +# You code will be added here + + +# Finally remember to save the hotel reviews with new NLP data added +print("Saving results to Hotel_Reviews_NLP.csv") +df.to_csv(r'../data/Hotel_Reviews_NLP.csv', index = False) +``` + +### 删除停用词 + +如果您对负面和正面评论列运行情感分析，可能需要很长时间。在一台性能强劲的测试笔记本电脑上测试时，根据使用的情感分析库不同，耗时为12到14分钟。这是一个（相对）较长的时间，因此值得研究是否可以加快速度。 + +删除停用词（即不会改变句子情感的常见英语单词）是第一步。通过删除它们，情感分析应该会运行得更快，但不会降低准确性（因为停用词不会影响情感，但会减慢分析速度）。 + +最长的负面评论有395个单词，但删除停用词后仅剩195个单词。 + +删除停用词也是一个快速操作，在测试设备上，从2个评论列中删除515,000行的停用词耗时3.3秒。根据您的设备CPU速度、内存、是否有SSD以及其他一些因素，这个时间可能略长或略短。操作相对较短，这意味着如果它能提高情感分析速度，那么值得一试。 + +```python +from nltk.corpus import stopwords + +# Load the hotel reviews from CSV +df = pd.read_csv("../../data/Hotel_Reviews_Filtered.csv") + +# Remove stop words - can be slow for a lot of text! +# Ryan Han (ryanxjhan on Kaggle) has a great post measuring performance of different stop words removal approaches +# https://www.kaggle.com/ryanxjhan/fast-stop-words-removal # using the approach that Ryan recommends +start = time.time() +cache = set(stopwords.words("english")) +def remove_stopwords(review): + text = " ".join([word for word in review.split() if word not in cache]) + return text + +# Remove the stop words from both columns +df.Negative_Review = df.Negative_Review.apply(remove_stopwords) +df.Positive_Review = df.Positive_Review.apply(remove_stopwords) +``` + +### 执行情感分析 + +现在，您应该计算负面和正面评论列的情感分析，并将结果存储在2个新列中。情感分析的测试是将其与同一评论的评论者评分进行比较。例如，如果情感分析认为负面评论的情感为1（极其正面的情感），正面评论的情感也为1，但评论者给酒店的评分是最低分，那么要么评论文本与评分不匹配，要么情感分析器无法正确识别情感。您应该预期某些情感评分完全错误，这通常是可以解释的，例如评论可能极具讽刺意味，“当然，我*喜欢*住在没有暖气的房间里”，情感分析器可能认为这是正面情感，但人类阅读时会知道这是讽刺。 +NLTK 提供了不同的情感分析器供学习使用，您可以替换它们并查看情感分析的准确性是否有所不同。这里使用的是 VADER 情感分析。 + +> Hutto, C.J. & Gilbert, E.E. (2014). VADER: 一种简洁的基于规则的社交媒体文本情感分析模型。第八届国际博客与社交媒体会议 (ICWSM-14)。美国密歇根州安娜堡，2014年6月。 + +```python +from nltk.sentiment.vader import SentimentIntensityAnalyzer + +# Create the vader sentiment analyser (there are others in NLTK you can try too) +vader_sentiment = SentimentIntensityAnalyzer() +# Hutto, C.J. & Gilbert, E.E. (2014). VADER: A Parsimonious Rule-based Model for Sentiment Analysis of Social Media Text. Eighth International Conference on Weblogs and Social Media (ICWSM-14). Ann Arbor, MI, June 2014. + +# There are 3 possibilities of input for a review: +# It could be "No Negative", in which case, return 0 +# It could be "No Positive", in which case, return 0 +# It could be a review, in which case calculate the sentiment +def calc_sentiment(review): + if review == "No Negative" or review == "No Positive": + return 0 + return vader_sentiment.polarity_scores(review)["compound"] +``` + +在程序中，当您准备计算情感时，可以将其应用到每条评论，如下所示： + +```python +# Add a negative sentiment and positive sentiment column +print("Calculating sentiment columns for both positive and negative reviews") +start = time.time() +df["Negative_Sentiment"] = df.Negative_Review.apply(calc_sentiment) +df["Positive_Sentiment"] = df.Positive_Review.apply(calc_sentiment) +end = time.time() +print("Calculating sentiment took " + str(round(end - start, 2)) + " seconds") +``` + +在我的电脑上大约需要 120 秒，但每台电脑的运行时间会有所不同。如果您想打印结果并查看情感是否与评论匹配： + +```python +df = df.sort_values(by=["Negative_Sentiment"], ascending=True) +print(df[["Negative_Review", "Negative_Sentiment"]]) +df = df.sort_values(by=["Positive_Sentiment"], ascending=True) +print(df[["Positive_Review", "Positive_Sentiment"]]) +``` + +在挑战中使用文件之前，最后要做的事情就是保存它！您还应该考虑重新排列所有新列，使其更易于操作（对人类来说，这只是一个外观上的调整）。 + +```python +# Reorder the columns (This is cosmetic, but to make it easier to explore the data later) +df = df.reindex(["Hotel_Name", "Hotel_Address", "Total_Number_of_Reviews", "Average_Score", "Reviewer_Score", "Negative_Sentiment", "Positive_Sentiment", "Reviewer_Nationality", "Leisure_trip", "Couple", "Solo_traveler", "Business_trip", "Group", "Family_with_young_children", "Family_with_older_children", "With_a_pet", "Negative_Review", "Positive_Review"], axis=1) + +print("Saving results to Hotel_Reviews_NLP.csv") +df.to_csv(r"../data/Hotel_Reviews_NLP.csv", index = False) +``` + +您应该运行 [分析笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb) 的完整代码（在运行 [过滤笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb) 生成 Hotel_Reviews_Filtered.csv 文件之后）。 + +回顾一下，步骤如下： + +1. 原始数据集文件 **Hotel_Reviews.csv** 在上一课中通过 [探索笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/4-Hotel-Reviews-1/solution/notebook.ipynb) 进行了探索。 +2. Hotel_Reviews.csv 通过 [过滤笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb) 过滤，生成 **Hotel_Reviews_Filtered.csv**。 +3. Hotel_Reviews_Filtered.csv 通过 [情感分析笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb) 处理，生成 **Hotel_Reviews_NLP.csv**。 +4. 在下面的 NLP 挑战中使用 Hotel_Reviews_NLP.csv。 + +### 结论 + +在开始时，您有一个包含列和数据的数据集，但并非所有数据都可以验证或使用。您已经探索了数据，过滤掉了不需要的部分，将标签转换为有用的内容，计算了自己的平均值，添加了一些情感列，并希望学到了一些关于处理自然文本的有趣知识。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 挑战 + +现在您已经对数据集进行了情感分析，试着使用您在本课程中学到的策略（例如聚类）来确定情感的模式。 + +## 复习与自学 + +学习 [这个模块](https://docs.microsoft.com/en-us/learn/modules/classify-user-feedback-with-the-text-analytics-api/?WT.mc_id=academic-77952-leestott)，了解更多内容并使用不同的工具探索文本中的情感。 + +## 作业 + +[尝试一个不同的数据集](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/assignment.md b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/assignment.md new file mode 100644 index 000000000..c6ef325c0 --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/assignment.md @@ -0,0 +1,16 @@ +# 尝试不同的数据集 + +## 说明 + +现在您已经了解了如何使用 NLTK 为文本分配情感，尝试使用一个不同的数据集。您可能需要对数据进行一些处理，因此请创建一个笔记本并记录您的思考过程。您发现了什么？ + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | ----------------------------------------------------------------------------------------------------------- | -------------------------------------- | ---------------------- | +| | 提供了完整的笔记本和数据集，并通过详细的单元格记录了如何分配情感的过程 | 笔记本缺乏良好的解释 | 笔记本存在缺陷 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/notebook.ipynb b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/notebook.ipynb new file mode 100644 index 000000000..e69de29bb diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb new file mode 100644 index 000000000..6cb58d031 --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb @@ -0,0 +1,172 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 4, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "033cb89c85500224b3c63fd04f49b4aa", + "translation_date": "2025-09-03T20:58:26+00:00", + "source_file": "6-NLP/5-Hotel-Reviews-2/solution/1-notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import time\n", + "import ast" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def replace_address(row):\n", + " if \"Netherlands\" in row[\"Hotel_Address\"]:\n", + " return \"Amsterdam, Netherlands\"\n", + " elif \"Barcelona\" in row[\"Hotel_Address\"]:\n", + " return \"Barcelona, Spain\"\n", + " elif \"United Kingdom\" in row[\"Hotel_Address\"]:\n", + " return \"London, United Kingdom\"\n", + " elif \"Milan\" in row[\"Hotel_Address\"]: \n", + " return \"Milan, Italy\"\n", + " elif \"France\" in row[\"Hotel_Address\"]:\n", + " return \"Paris, France\"\n", + " elif \"Vienna\" in row[\"Hotel_Address\"]:\n", + " return \"Vienna, Austria\" \n", + " else:\n", + " return row.Hotel_Address\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the hotel reviews from CSV\n", + "start = time.time()\n", + "df = pd.read_csv('../../data/Hotel_Reviews.csv')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# dropping columns we will not use:\n", + "df.drop([\"lat\", \"lng\"], axis = 1, inplace=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Replace all the addresses with a shortened, more useful form\n", + "df[\"Hotel_Address\"] = df.apply(replace_address, axis = 1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Drop `Additional_Number_of_Scoring`\n", + "df.drop([\"Additional_Number_of_Scoring\"], axis = 1, inplace=True)\n", + "# Replace `Total_Number_of_Reviews` and `Average_Score` with our own calculated values\n", + "df.Total_Number_of_Reviews = df.groupby('Hotel_Name').transform('count')\n", + "df.Average_Score = round(df.groupby('Hotel_Name').Reviewer_Score.transform('mean'), 1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Process the Tags into new columns\n", + "# The file Hotel_Reviews_Tags.py, identifies the most important tags\n", + "# Leisure trip, Couple, Solo traveler, Business trip, Group combined with Travelers with friends, \n", + "# Family with young children, Family with older children, With a pet\n", + "df[\"Leisure_trip\"] = df.Tags.apply(lambda tag: 1 if \"Leisure trip\" in tag else 0)\n", + "df[\"Couple\"] = df.Tags.apply(lambda tag: 1 if \"Couple\" in tag else 0)\n", + "df[\"Solo_traveler\"] = df.Tags.apply(lambda tag: 1 if \"Solo traveler\" in tag else 0)\n", + "df[\"Business_trip\"] = df.Tags.apply(lambda tag: 1 if \"Business trip\" in tag else 0)\n", + "df[\"Group\"] = df.Tags.apply(lambda tag: 1 if \"Group\" in tag or \"Travelers with friends\" in tag else 0)\n", + "df[\"Family_with_young_children\"] = df.Tags.apply(lambda tag: 1 if \"Family with young children\" in tag else 0)\n", + "df[\"Family_with_older_children\"] = df.Tags.apply(lambda tag: 1 if \"Family with older children\" in tag else 0)\n", + "df[\"With_a_pet\"] = df.Tags.apply(lambda tag: 1 if \"With a pet\" in tag else 0)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# No longer need any of these columns\n", + "df.drop([\"Review_Date\", \"Review_Total_Negative_Word_Counts\", \"Review_Total_Positive_Word_Counts\", \"days_since_review\", \"Total_Number_of_Reviews_Reviewer_Has_Given\"], axis = 1, inplace=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Saving results to Hotel_Reviews_Filtered.csv\n", + "Filtering took 23.74 seconds\n" + ] + } + ], + "source": [ + "# Saving new data file with calculated columns\n", + "print(\"Saving results to Hotel_Reviews_Filtered.csv\")\n", + "df.to_csv(r'../../data/Hotel_Reviews_Filtered.csv', index = False)\n", + "end = time.time()\n", + "print(\"Filtering took \" + str(round(end - start, 2)) + \" seconds\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/2-notebook.ipynb b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/2-notebook.ipynb new file mode 100644 index 000000000..a7e0b93fd --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/2-notebook.ipynb @@ -0,0 +1,137 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 4, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "341efc86325ec2a214f682f57a189dfd", + "translation_date": "2025-09-03T20:58:43+00:00", + "source_file": "6-NLP/5-Hotel-Reviews-2/solution/2-notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the hotel reviews from CSV (you can )\n", + "import pandas as pd \n", + "\n", + "df = pd.read_csv('../../data/Hotel_Reviews_Filtered.csv')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# We want to find the most useful tags to keep\n", + "# Remove opening and closing brackets\n", + "df.Tags = df.Tags.str.strip(\"[']\")\n", + "# remove all quotes too\n", + "df.Tags = df.Tags.str.replace(\" ', '\", \",\", regex = False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# removing this to take advantage of the 'already a phrase' fact of the dataset \n", + "# Now split the strings into a list\n", + "tag_list_df = df.Tags.str.split(',', expand = True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Remove leading and trailing spaces\n", + "df[\"Tag_1\"] = tag_list_df[0].str.strip()\n", + "df[\"Tag_2\"] = tag_list_df[1].str.strip()\n", + "df[\"Tag_3\"] = tag_list_df[2].str.strip()\n", + "df[\"Tag_4\"] = tag_list_df[3].str.strip()\n", + "df[\"Tag_5\"] = tag_list_df[4].str.strip()\n", + "df[\"Tag_6\"] = tag_list_df[5].str.strip()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Merge the 6 columns into one with melt\n", + "df_tags = df.melt(value_vars=[\"Tag_1\", \"Tag_2\", \"Tag_3\", \"Tag_4\", \"Tag_5\", \"Tag_6\"])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "The shape of the tags with no filtering: (2514684, 2)\n", + " index count\n", + "0 Leisure trip 338423\n", + "1 Couple 205305\n", + "2 Solo traveler 89779\n", + "3 Business trip 68176\n", + "4 Group 51593\n", + "5 Family with young children 49318\n", + "6 Family with older children 21509\n", + "7 Travelers with friends 1610\n", + "8 With a pet 1078\n" + ] + } + ], + "source": [ + "# Get the value counts\n", + "tag_vc = df_tags.value.value_counts()\n", + "# print(tag_vc)\n", + "print(\"The shape of the tags with no filtering:\", str(df_tags.shape))\n", + "# Drop rooms, suites, and length of stay, mobile device and anything with less count than a 1000\n", + "df_tags = df_tags[~df_tags.value.str.contains(\"Standard|room|Stayed|device|Beds|Suite|Studio|King|Superior|Double\", na=False, case=False)]\n", + "tag_vc = df_tags.value.value_counts().reset_index(name=\"count\").query(\"count > 1000\")\n", + "# Print the top 10 (there should only be 9 and we'll use these in the filtering section)\n", + "print(tag_vc[:10])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb new file mode 100644 index 000000000..0107825cc --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb @@ -0,0 +1,260 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 4, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "705bf02633759f689abc37b19749a16d", + "translation_date": "2025-09-03T20:58:59+00:00", + "source_file": "6-NLP/5-Hotel-Reviews-2/solution/3-notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "[nltk_data] Downloading package vader_lexicon to\n[nltk_data] /Users/jenlooper/nltk_data...\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "import time\n", + "import pandas as pd\n", + "import nltk as nltk\n", + "from nltk.corpus import stopwords\n", + "from nltk.sentiment.vader import SentimentIntensityAnalyzer\n", + "nltk.download('vader_lexicon')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "vader_sentiment = SentimentIntensityAnalyzer()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# There are 3 possibilities of input for a review:\n", + "# It could be \"No Negative\", in which case, return 0\n", + "# It could be \"No Positive\", in which case, return 0\n", + "# It could be a review, in which case calculate the sentiment\n", + "def calc_sentiment(review): \n", + " if review == \"No Negative\" or review == \"No Positive\":\n", + " return 0\n", + " return vader_sentiment.polarity_scores(review)[\"compound\"] \n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the hotel reviews from CSV\n", + "df = pd.read_csv(\"../../data/Hotel_Reviews_Filtered.csv\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# Remove stop words - can be slow for a lot of text!\n", + "# Ryan Han (ryanxjhan on Kaggle) has a great post measuring performance of different stop words removal approaches\n", + "# https://www.kaggle.com/ryanxjhan/fast-stop-words-removal # using the approach that Ryan recommends\n", + "start = time.time()\n", + "cache = set(stopwords.words(\"english\"))\n", + "def remove_stopwords(review):\n", + " text = \" \".join([word for word in review.split() if word not in cache])\n", + " return text\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# Remove the stop words from both columns\n", + "df.Negative_Review = df.Negative_Review.apply(remove_stopwords) \n", + "df.Positive_Review = df.Positive_Review.apply(remove_stopwords)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Removing stop words took 5.77 seconds\n" + ] + } + ], + "source": [ + "end = time.time()\n", + "print(\"Removing stop words took \" + str(round(end - start, 2)) + \" seconds\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Calculating sentiment columns for both positive and negative reviews\n", + "Calculating sentiment took 201.07 seconds\n" + ] + } + ], + "source": [ + "# Add a negative sentiment and positive sentiment column\n", + "print(\"Calculating sentiment columns for both positive and negative reviews\")\n", + "start = time.time()\n", + "df[\"Negative_Sentiment\"] = df.Negative_Review.apply(calc_sentiment)\n", + "df[\"Positive_Sentiment\"] = df.Positive_Review.apply(calc_sentiment)\n", + "end = time.time()\n", + "print(\"Calculating sentiment took \" + str(round(end - start, 2)) + \" seconds\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Negative_Review Negative_Sentiment\n", + "186584 So bad experience memories I hotel The first n... -0.9920\n", + "129503 First charged twice room booked booking second... -0.9896\n", + "307286 The staff Had bad experience even booking Janu... -0.9889\n", + "452092 No WLAN room Incredibly rude restaurant staff ... -0.9884\n", + "201293 We usually traveling Paris 2 3 times year busi... -0.9873\n", + "... ... ...\n", + "26899 I would say however one night expensive even d... 0.9933\n", + "138365 Wifi terribly slow I speed test network upload... 0.9938\n", + "79215 I find anything hotel first I walked past hote... 0.9938\n", + "278506 The property great location There bakery next ... 0.9945\n", + "339189 Guys I like hotel I wish return next year Howe... 0.9948\n", + "\n", + "[515738 rows x 2 columns]\n", + " Positive_Review Positive_Sentiment\n", + "137893 Bathroom Shower We going stay twice hotel 2 ni... -0.9820\n", + "5839 I completely disappointed mad since reception ... -0.9780\n", + "64158 get everything extra internet parking breakfas... -0.9751\n", + "124178 I didnt like anythig Room small Asked upgrade ... -0.9721\n", + "489137 Very rude manager abusive staff reception Dirt... -0.9703\n", + "... ... ...\n", + "331570 Everything This recently renovated hotel class... 0.9984\n", + "322920 From moment stepped doors Guesthouse Hotel sta... 0.9985\n", + "293710 This place surprise expected good actually gre... 0.9985\n", + "417442 We celebrated wedding night Langham I commend ... 0.9985\n", + "132492 We arrived super cute boutique hotel area expl... 0.9987\n", + "\n", + "[515738 rows x 2 columns]\n" + ] + } + ], + "source": [ + "df = df.sort_values(by=[\"Negative_Sentiment\"], ascending=True)\n", + "print(df[[\"Negative_Review\", \"Negative_Sentiment\"]])\n", + "df = df.sort_values(by=[\"Positive_Sentiment\"], ascending=True)\n", + "print(df[[\"Positive_Review\", \"Positive_Sentiment\"]])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# Reorder the columns (This is cosmetic, but to make it easier to explore the data later)\n", + "df = df.reindex([\"Hotel_Name\", \"Hotel_Address\", \"Total_Number_of_Reviews\", \"Average_Score\", \"Reviewer_Score\", \"Negative_Sentiment\", \"Positive_Sentiment\", \"Reviewer_Nationality\", \"Leisure_trip\", \"Couple\", \"Solo_traveler\", \"Business_trip\", \"Group\", \"Family_with_young_children\", \"Family_with_older_children\", \"With_a_pet\", \"Negative_Review\", \"Positive_Review\"], axis=1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Saving results to Hotel_Reviews_NLP.csv\n" + ] + } + ], + "source": [ + "print(\"Saving results to Hotel_Reviews_NLP.csv\")\n", + "df.to_csv(r\"../../data/Hotel_Reviews_NLP.csv\", index = False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/Julia/README.md b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/Julia/README.md new file mode 100644 index 000000000..c443a00dd --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/R/README.md b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/R/README.md new file mode 100644 index 000000000..2b73ba091 --- /dev/null +++ b/translations/zh-CN/6-NLP/5-Hotel-Reviews-2/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/README.md b/translations/zh-CN/6-NLP/README.md new file mode 100644 index 000000000..7418af484 --- /dev/null +++ b/translations/zh-CN/6-NLP/README.md @@ -0,0 +1,29 @@ +# 开始学习自然语言处理 + +自然语言处理（NLP）是指计算机程序理解人类语言（包括口语和书面语）的能力——即所谓的自然语言。它是人工智能（AI）的一个组成部分。自然语言处理已有超过50年的历史，其根源可以追溯到语言学领域。整个领域的目标是帮助机器理解和处理人类语言。这项技术可以用于执行诸如拼写检查或机器翻译等任务。它在许多领域都有实际应用，包括医学研究、搜索引擎和商业智能。 + +## 地区主题：欧洲语言文学与浪漫酒店 ❤️ + +在本课程的这一部分中，您将了解机器学习最广泛的应用之一：自然语言处理（NLP）。这一人工智能类别源于计算语言学，是通过语音或文本交流连接人类与机器的桥梁。 + +在这些课程中，我们将通过构建小型对话机器人来学习NLP的基础知识，了解机器学习如何帮助使这些对话变得越来越“智能”。您将穿越时光，与简·奥斯汀1813年出版的经典小说《傲慢与偏见》中的伊丽莎白·班内特和达西先生进行对话。随后，您将通过学习欧洲酒店评论中的情感分析进一步加深知识。 + +![傲慢与偏见书籍与茶](../../../translated_images/zh-CN/p&p.279f1c49ecd88941.webp) +> 图片由 Elaine Howlin 提供，来自 Unsplash + +## 课程 + +1. [自然语言处理简介](1-Introduction-to-NLP/README.md) +2. [常见的NLP任务与技术](2-Tasks/README.md) +3. [机器学习中的翻译与情感分析](3-Translation-Sentiment/README.md) +4. [准备您的数据](4-Hotel-Reviews-1/README.md) +5. [使用NLTK进行情感分析](5-Hotel-Reviews-2/README.md) + +## 致谢 + +这些自然语言处理课程由 [Stephen Howell](https://twitter.com/Howell_MSFT) 倾情创作 ☕ + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/6-NLP/data/README.md b/translations/zh-CN/6-NLP/data/README.md new file mode 100644 index 000000000..444e947cc --- /dev/null +++ b/translations/zh-CN/6-NLP/data/README.md @@ -0,0 +1,6 @@ +将酒店评论数据下载到此文件夹。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/README.md b/translations/zh-CN/7-TimeSeries/1-Introduction/README.md new file mode 100644 index 000000000..f88e67406 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/README.md @@ -0,0 +1,190 @@ +# 时间序列预测简介 + +![时间序列的概述草图](../../../../sketchnotes/ml-timeseries.png) + +> 草图由 [Tomomi Imura](https://www.twitter.com/girlie_mac) 绘制 + +在本课及接下来的课程中，你将学习一些关于时间序列预测的知识。这是机器学习科学家技能库中一个有趣且有价值的部分，虽然它的知名度可能不如其他主题。时间序列预测就像一种“水晶球”：基于某个变量（如价格）的过去表现，你可以预测其未来的潜在价值。 + +[![时间序列预测简介](https://img.youtube.com/vi/cBojo1hsHiI/0.jpg)](https://youtu.be/cBojo1hsHiI "时间序列预测简介") + +> 🎥 点击上方图片观看关于时间序列预测的视频 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +时间序列预测是一个有用且有趣的领域，对商业具有实际价值，因为它可以直接应用于定价、库存和供应链问题。虽然深度学习技术开始被用于更深入地预测未来表现，但时间序列预测仍然是一个主要由经典机器学习技术驱动的领域。 + +> 宾夕法尼亚州立大学的时间序列课程可以在 [这里](https://online.stat.psu.edu/stat510/lesson/1) 找到 + +## 简介 + +假设你维护了一组智能停车计时器，这些计时器提供关于它们使用频率和使用时长的数据。 + +> 如果你能根据计时器的过去表现，预测其未来价值，并结合供需规律，会怎么样？ + +准确预测何时采取行动以实现目标是一个挑战，可以通过时间序列预测来解决。虽然在繁忙时段提高停车费可能会让人们不高兴，但这确实是一个增加收入以清洁街道的有效方法！ + +让我们探索一些时间序列算法，并开始一个笔记本来清理和准备一些数据。你将分析的数据来自 GEFCom2014 预测竞赛，包括 2012 年至 2014 年间 3 年的每小时电力负载和温度值。根据电力负载和温度的历史模式，你可以预测电力负载的未来值。 + +在这个例子中，你将学习如何仅使用历史负载数据预测一个时间步长的未来值。然而，在开始之前，了解背后的原理是很有帮助的。 + +## 一些定义 + +当遇到“时间序列”这个术语时，你需要理解它在不同上下文中的使用。 + +🎓 **时间序列** + +在数学中，“时间序列是一系列按时间顺序索引（或列出或绘制）的数据点。最常见的是，时间序列是在连续且等间隔的时间点上获取的序列。” 时间序列的一个例子是 [道琼斯工业平均指数](https://wikipedia.org/wiki/Time_series) 的每日收盘值。时间序列图和统计建模的使用在信号处理、天气预测、地震预测以及其他事件发生并可以随时间绘制数据点的领域中经常出现。 + +🎓 **时间序列分析** + +时间序列分析是对上述时间序列数据的分析。时间序列数据可以采取不同的形式，包括“中断时间序列”，它检测时间序列在中断事件前后演变的模式。所需的时间序列分析类型取决于数据的性质。时间序列数据本身可以是数字或字符序列。 + +分析使用了多种方法，包括频域和时域、线性和非线性等。[了解更多](https://www.itl.nist.gov/div898/handbook/pmc/section4/pmc4.htm) 关于分析这种数据的多种方法。 + +🎓 **时间序列预测** + +时间序列预测是使用模型根据过去收集的数据所显示的模式预测未来值。虽然可以使用回归模型来探索时间序列数据，并将时间索引作为图上的 x 变量，但这种数据最好使用特殊类型的模型进行分析。 + +时间序列数据是一个有序的观察值列表，与可以通过线性回归分析的数据不同。最常见的模型是 ARIMA，它是“自回归积分移动平均”的缩写。 + +[ARIMA 模型](https://online.stat.psu.edu/stat510/lesson/1/1.1) “将序列的当前值与过去的值和过去的预测误差联系起来。” 它们最适合分析时间域数据，即数据按时间顺序排列。 + +> ARIMA 模型有多种类型，你可以在 [这里](https://people.duke.edu/~rnau/411arim.htm) 学习这些类型，并将在下一课中涉及。 + +在下一课中，你将使用 [单变量时间序列](https://itl.nist.gov/div898/handbook/pmc/section4/pmc44.htm) 构建一个 ARIMA 模型，该模型专注于一个随时间变化的变量。这种数据的一个例子是 [这个数据集](https://itl.nist.gov/div898/handbook/pmc/section4/pmc4411.htm)，记录了 Mauna Loa 天文台的每月 CO2 浓度： + +| CO2 | YearMonth | Year | Month | +| :-----: | :-------: | :---: | :---: | +| 330.62 | 1975.04 | 1975 | 1 | +| 331.40 | 1975.13 | 1975 | 2 | +| 331.87 | 1975.21 | 1975 | 3 | +| 333.18 | 1975.29 | 1975 | 4 | +| 333.92 | 1975.38 | 1975 | 5 | +| 333.43 | 1975.46 | 1975 | 6 | +| 331.85 | 1975.54 | 1975 | 7 | +| 330.01 | 1975.63 | 1975 | 8 | +| 328.51 | 1975.71 | 1975 | 9 | +| 328.41 | 1975.79 | 1975 | 10 | +| 329.25 | 1975.88 | 1975 | 11 | +| 330.97 | 1975.96 | 1975 | 12 | + +✅ 在这个数据集中，识别随时间变化的变量 + +## 时间序列数据需要考虑的特性 + +观察时间序列数据时，你可能会注意到它具有一些 [特性](https://online.stat.psu.edu/stat510/lesson/1/1.1)，需要考虑并减轻这些特性以更好地理解其模式。如果你将时间序列数据视为一个你想要分析的“信号”，这些特性可以被视为“噪声”。你通常需要通过使用一些统计技术来减少这些“噪声”。 + +以下是一些你需要了解的概念，以便能够处理时间序列： + +🎓 **趋势** + +趋势是指随时间可测量的增长和下降。[阅读更多](https://machinelearningmastery.com/time-series-trends-in-python)。在时间序列的背景下，这涉及如何使用以及（如果必要）移除时间序列中的趋势。 + +🎓 **[季节性](https://machinelearningmastery.com/time-series-seasonality-with-python/)** + +季节性是指周期性波动，例如节假日的销售高峰。[看看](https://itl.nist.gov/div898/handbook/pmc/section4/pmc443.htm) 不同类型的图如何显示数据中的季节性。 + +🎓 **异常值** + +异常值远离标准数据方差。 + +🎓 **长期周期** + +独立于季节性，数据可能显示长期周期，例如持续超过一年的经济衰退。 + +🎓 **恒定方差** + +随着时间的推移，某些数据显示恒定的波动，例如每天和夜间的能源使用量。 + +🎓 **突变** + +数据可能显示突变，需要进一步分析。例如，由于 COVID 的突然停业导致数据发生变化。 + +✅ 这里有一个 [时间序列图示例](https://www.kaggle.com/kashnitsky/topic-9-part-1-time-series-analysis-in-python)，显示了几年来每日游戏内货币消费。你能在这些数据中识别出上述任何特性吗？ + +![游戏内货币消费](../../../../7-TimeSeries/1-Introduction/images/currency.png) + +## 练习 - 开始使用电力使用数据 + +让我们开始创建一个时间序列模型，根据过去的使用情况预测未来的电力使用。 + +> 本例中的数据来自 GEFCom2014 预测竞赛，包括 2012 年至 2014 年间 3 年的每小时电力负载和温度值。 +> +> Tao Hong, Pierre Pinson, Shu Fan, Hamidreza Zareipour, Alberto Troccoli 和 Rob J. Hyndman，“概率能源预测：全球能源预测竞赛 2014 及未来”，《国际预测杂志》，第 32 卷，第 3 期，第 896-913 页，2016 年 7 月至 9 月。 + +1. 在本课的 `working` 文件夹中，打开 _notebook.ipynb_ 文件。首先添加一些库以帮助加载和可视化数据： + + ```python + import os + import matplotlib.pyplot as plt + from common.utils import load_data + %matplotlib inline + ``` + + 注意，你正在使用包含的 `common` 文件夹中的文件，这些文件设置了你的环境并处理数据下载。 + +2. 接下来，通过调用 `load_data()` 和 `head()` 检查数据作为数据框： + + ```python + data_dir = './data' + energy = load_data(data_dir)[['load']] + energy.head() + ``` + + 你可以看到有两列分别表示日期和负载： + + | | load | + | :-----------------: | :----: | + | 2012-01-01 00:00:00 | 2698.0 | + | 2012-01-01 01:00:00 | 2558.0 | + | 2012-01-01 02:00:00 | 2444.0 | + | 2012-01-01 03:00:00 | 2402.0 | + | 2012-01-01 04:00:00 | 2403.0 | + +3. 现在，通过调用 `plot()` 绘制数据： + + ```python + energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![能源图](../../../../7-TimeSeries/1-Introduction/images/energy-plot.png) + +4. 现在，通过提供 `[起始日期]:[结束日期]` 模式的输入，绘制 2014 年 7 月的第一周： + + ```python + energy['2014-07-01':'2014-07-07'].plot(y='load', subplots=True, figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![七月](../../../../7-TimeSeries/1-Introduction/images/july-2014.png) + + 一个漂亮的图！看看这些图，看看你是否能确定上述列出的任何特性。通过可视化数据，我们可以推测出什么？ + +在下一课中，你将创建一个 ARIMA 模型来进行一些预测。 + +--- + +## 🚀挑战 + +列出你能想到的所有可能受益于时间序列预测的行业和研究领域。你能想到这些技术在艺术领域的应用吗？在计量经济学、生态学、零售业、工业、金融领域呢？还有哪些领域？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +虽然我们不会在这里讨论，但有时会使用神经网络来增强经典的时间序列预测方法。[阅读更多](https://medium.com/microsoftazure/neural-networks-for-forecasting-financial-and-economic-time-series-6aca370ff412) 关于它们的内容。 + +## 作业 + +[可视化更多时间序列](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/assignment.md b/translations/zh-CN/7-TimeSeries/1-Introduction/assignment.md new file mode 100644 index 000000000..fe2260fd9 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/assignment.md @@ -0,0 +1,16 @@ +# 可视化更多时间序列 + +## 说明 + +你已经开始通过观察需要特殊建模的数据类型来学习时间序列预测。你已经可视化了一些关于能源的数据。现在，寻找一些其他可以从时间序列预测中受益的数据。找到三个例子（可以尝试 [Kaggle](https://kaggle.com) 和 [Azure Open Datasets](https://azure.microsoft.com/en-us/services/open-datasets/catalog/?WT.mc_id=academic-77952-leestott)），并创建一个笔记本来可视化这些数据。在笔记本中记录它们的任何特殊特性（季节性、突变或其他趋势）。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ----------------------------------------------------- | --------------------------------------------------- | ---------------------------------------------------------------------------------------- | +| | 在笔记本中绘制并解释了三个数据集 | 在笔记本中绘制并解释了两个数据集 | 在笔记本中绘制或解释的数据集较少，或者所展示的数据不足 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/solution/Julia/README.md b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/Julia/README.md new file mode 100644 index 000000000..b411dd85f --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/solution/R/README.md b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/R/README.md new file mode 100644 index 000000000..cc1524018 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/solution/notebook.ipynb b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/notebook.ipynb new file mode 100644 index 000000000..8ca393a09 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/solution/notebook.ipynb @@ -0,0 +1,168 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在本笔记中，我们将演示如何：\n", + "- 设置本模块的时间序列数据\n", + "- 可视化数据\n", + "\n", + "本示例中的数据来自GEFCom2014预测竞赛。它包含2012年至2014年间3年的每小时电力负荷和温度值。\n", + "\n", + "陶宏、Pierre Pinson、Shu Fan、Hamidreza Zareipour、Alberto Troccoli和Rob J. Hyndman，“概率能源预测：全球能源预测竞赛2014及未来”，《国际预测期刊》，第32卷，第3期，页896-913，2016年7月至9月。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import matplotlib.pyplot as plt\n", + "from common.utils import load_data\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "将数据从csv加载到Pandas数据框中\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " load\n", + "2012-01-01 00:00:00 2698.0\n", + "2012-01-01 01:00:00 2558.0\n", + "2012-01-01 02:00:00 2444.0\n", + "2012-01-01 03:00:00 2402.0\n", + "2012-01-01 04:00:00 2403.0" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "data_dir = './data'\n", + "energy = load_data(data_dir)[['load']]\n", + "energy.head()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "绘制所有可用的负载数据（2012年1月至2014年12月）\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "energy['2014-07-01':'2014-07-07'].plot(y='load', subplots=True, figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。\n" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "name": "python37364bit8d3b438fb5fc4430a93ac2cb74d693a7", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "dddca9ad9e34435494e0933c218e1579", + "translation_date": "2025-09-03T19:56:28+00:00", + "source_file": "7-TimeSeries/1-Introduction/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/1-Introduction/working/notebook.ipynb b/translations/zh-CN/7-TimeSeries/1-Introduction/working/notebook.ipynb new file mode 100644 index 000000000..10da8cc34 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/1-Introduction/working/notebook.ipynb @@ -0,0 +1,64 @@ +{ + "cells": [ + { + "source": [ + "# 数据设置\n", + "\n", + "在本笔记中，我们将演示如何：\n", + "\n", + "设置本模块的时间序列数据 \n", + "可视化数据 \n", + "\n", + "本示例中的数据来自GEFCom2014预测竞赛。数据包括2012年至2014年间3年的每小时电力负荷和温度值。\n", + "\n", + "1陶宏、Pierre Pinson、Shu Fan、Hamidreza Zareipour、Alberto Troccoli和Rob J. Hyndman，“概率能源预测：全球能源预测竞赛2014及未来”，《国际预测期刊》，第32卷，第3期，页896-913，2016年7月至9月。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "name": "python37364bit8d3b438fb5fc4430a93ac2cb74d693a7", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "coopTranslator": { + "original_hash": "5e2bbe594906dce3aaaa736d6dac6683", + "translation_date": "2025-09-03T19:57:09+00:00", + "source_file": "7-TimeSeries/1-Introduction/working/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/README.md b/translations/zh-CN/7-TimeSeries/2-ARIMA/README.md new file mode 100644 index 000000000..ee4a1d8d9 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/README.md @@ -0,0 +1,398 @@ +# 使用 ARIMA 进行时间序列预测 + +在上一节课中，您学习了一些关于时间序列预测的知识，并加载了一个显示电力负载随时间波动的数据集。 + +[![ARIMA 简介](https://img.youtube.com/vi/IUSk-YDau10/0.jpg)](https://youtu.be/IUSk-YDau10 "ARIMA 简介") + +> 🎥 点击上方图片观看视频：ARIMA 模型的简要介绍。示例使用 R 语言，但概念具有普适性。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 简介 + +在本节课中，您将学习一种特定的方法来构建 [ARIMA: *A*uto*R*egressive *I*ntegrated *M*oving *A*verage](https://wikipedia.org/wiki/Autoregressive_integrated_moving_average) 模型。ARIMA 模型特别适合拟合显示 [非平稳性](https://wikipedia.org/wiki/Stationary_process) 的数据。 + +## 基本概念 + +为了能够使用 ARIMA，您需要了解以下一些概念： + +- 🎓 **平稳性**。从统计学的角度来看，平稳性指的是分布在时间上不发生变化的数据。非平稳数据则由于趋势而出现波动，必须经过转换才能进行分析。例如，季节性可能会引入数据波动，可以通过“季节性差分”过程来消除。 + +- 🎓 **[差分](https://wikipedia.org/wiki/Autoregressive_integrated_moving_average#Differencing)**。差分数据是指从统计学角度将非平稳数据转换为平稳数据的过程，通过去除其非恒定趋势来实现。“差分消除了时间序列中的水平变化，消除了趋势和季节性，从而稳定了时间序列的均值。” [Shixiong 等人的论文](https://arxiv.org/abs/1904.07632) + +## ARIMA 在时间序列中的应用 + +让我们拆解 ARIMA 的各个部分，以更好地理解它如何帮助我们对时间序列建模并进行预测。 + +- **AR - 自回归**。顾名思义，自回归模型会“回溯”时间，分析数据中的先前值并对其进行假设。这些先前值称为“滞后”。例如，显示每月铅笔销售数据的时间序列。每个月的销售总额可以被视为数据集中的“演变变量”。该模型的构建方式是“将感兴趣的演变变量回归到其自身的滞后（即先前）值上。” [维基百科](https://wikipedia.org/wiki/Autoregressive_integrated_moving_average) + +- **I - 积分**。与类似的“ARMA”模型不同，ARIMA 中的“I”指的是其 *[积分](https://wikipedia.org/wiki/Order_of_integration)* 特性。通过应用差分步骤来消除非平稳性，从而使数据“积分化”。 + +- **MA - 移动平均**。该模型的 [移动平均](https://wikipedia.org/wiki/Moving-average_model) 部分指的是通过观察当前和过去的滞后值来确定输出变量。 + +总结：ARIMA 用于使模型尽可能贴合时间序列数据的特殊形式。 + +## 练习 - 构建 ARIMA 模型 + +打开本节课中的 [_/working_](https://github.com/microsoft/ML-For-Beginners/tree/main/7-TimeSeries/2-ARIMA/working) 文件夹，找到 [_notebook.ipynb_](https://github.com/microsoft/ML-For-Beginners/blob/main/7-TimeSeries/2-ARIMA/working/notebook.ipynb) 文件。 + +1. 运行 notebook 加载 `statsmodels` Python 库；您将需要它来构建 ARIMA 模型。 + +1. 加载必要的库。 + +1. 接下来，加载一些用于绘制数据的库： + + ```python + import os + import warnings + import matplotlib.pyplot as plt + import numpy as np + import pandas as pd + import datetime as dt + import math + + from pandas.plotting import autocorrelation_plot + from statsmodels.tsa.statespace.sarimax import SARIMAX + from sklearn.preprocessing import MinMaxScaler + from common.utils import load_data, mape + from IPython.display import Image + + %matplotlib inline + pd.options.display.float_format = '{:,.2f}'.format + np.set_printoptions(precision=2) + warnings.filterwarnings("ignore") # specify to ignore warning messages + ``` + +1. 从 `/data/energy.csv` 文件中加载数据到 Pandas 数据框并查看： + + ```python + energy = load_data('./data')[['load']] + energy.head(10) + ``` + +1. 绘制 2012 年 1 月至 2014 年 12 月的所有可用能源数据。没有意外，因为我们在上一节课中已经看到过这些数据： + + ```python + energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + 现在，让我们构建一个模型！ + +### 创建训练和测试数据集 + +现在数据已加载，您可以将其分为训练集和测试集。您将在训练集上训练模型。与往常一样，模型训练完成后，您将使用测试集评估其准确性。您需要确保测试集覆盖的时间段晚于训练集，以确保模型不会从未来时间段中获取信息。 + +1. 将 2014 年 9 月 1 日至 10 月 31 日的两个月分配给训练集。测试集将包括 2014 年 11 月 1 日至 12 月 31 日的两个月： + + ```python + train_start_dt = '2014-11-01 00:00:00' + test_start_dt = '2014-12-30 00:00:00' + ``` + + 由于这些数据反映了每日能源消耗，因此存在强烈的季节性模式，但消耗与最近几天的消耗最为相似。 + +1. 可视化差异： + + ```python + energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)][['load']].rename(columns={'load':'train'}) \ + .join(energy[test_start_dt:][['load']].rename(columns={'load':'test'}), how='outer') \ + .plot(y=['train', 'test'], figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![训练和测试数据](../../../../7-TimeSeries/2-ARIMA/images/train-test.png) + + 因此，使用一个相对较小的时间窗口来训练数据应该是足够的。 + + > 注意：由于我们用于拟合 ARIMA 模型的函数在拟合过程中使用了样本内验证，因此我们将省略验证数据。 + +### 准备训练数据 + +现在，您需要通过过滤和缩放数据来准备训练数据。过滤数据集以仅包含所需的时间段和列，并缩放数据以确保其投影在区间 0,1 内。 + +1. 过滤原始数据集，仅包含每个集合中上述时间段以及所需的“load”列和日期： + + ```python + train = energy.copy()[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']] + test = energy.copy()[energy.index >= test_start_dt][['load']] + + print('Training data shape: ', train.shape) + print('Test data shape: ', test.shape) + ``` + + 您可以查看数据的形状： + + ```output + Training data shape: (1416, 1) + Test data shape: (48, 1) + ``` + +1. 将数据缩放到范围 (0, 1)。 + + ```python + scaler = MinMaxScaler() + train['load'] = scaler.fit_transform(train) + train.head(10) + ``` + +1. 可视化原始数据与缩放数据： + + ```python + energy[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']].rename(columns={'load':'original load'}).plot.hist(bins=100, fontsize=12) + train.rename(columns={'load':'scaled load'}).plot.hist(bins=100, fontsize=12) + plt.show() + ``` + + ![原始数据](../../../../7-TimeSeries/2-ARIMA/images/original.png) + + > 原始数据 + + ![缩放数据](../../../../7-TimeSeries/2-ARIMA/images/scaled.png) + + > 缩放数据 + +1. 现在您已经校准了缩放数据，可以对测试数据进行缩放： + + ```python + test['load'] = scaler.transform(test) + test.head() + ``` + +### 实现 ARIMA + +现在是时候实现 ARIMA 了！您将使用之前安装的 `statsmodels` 库。 + +接下来需要遵循几个步骤： + + 1. 通过调用 `SARIMAX()` 并传入模型参数：p、d 和 q 参数，以及 P、D 和 Q 参数来定义模型。 + 2. 通过调用 `fit()` 函数为训练数据准备模型。 + 3. 通过调用 `forecast()` 函数并指定预测步数（即预测的时间范围）来进行预测。 + +> 🎓 这些参数的作用是什么？在 ARIMA 模型中，有 3 个参数用于帮助建模时间序列的主要方面：季节性、趋势和噪声。这些参数是： + +`p`：与模型的自回归部分相关的参数，包含 *过去* 的值。 +`d`：与模型的积分部分相关的参数，影响应用于时间序列的 *差分*（🎓 记得差分 👆？）。 +`q`：与模型的移动平均部分相关的参数。 + +> 注意：如果您的数据具有季节性特征（例如本数据），我们使用季节性 ARIMA 模型（SARIMA）。在这种情况下，您需要使用另一组参数：`P`、`D` 和 `Q`，它们与 `p`、`d` 和 `q` 的关联相同，但对应于模型的季节性部分。 + +1. 首先设置您偏好的时间范围值。我们尝试 3 小时： + + ```python + # Specify the number of steps to forecast ahead + HORIZON = 3 + print('Forecasting horizon:', HORIZON, 'hours') + ``` + + 为 ARIMA 模型选择最佳参数值可能具有挑战性，因为它有些主观且耗时。您可以考虑使用 [`pyramid` 库](https://alkaline-ml.com/pmdarima/0.9.0/modules/generated/pyramid.arima.auto_arima.html) 中的 `auto_arima()` 函数。 + +1. 目前尝试一些手动选择以找到一个好的模型。 + + ```python + order = (4, 1, 0) + seasonal_order = (1, 1, 0, 24) + + model = SARIMAX(endog=train, order=order, seasonal_order=seasonal_order) + results = model.fit() + + print(results.summary()) + ``` + + 打印出结果表。 + +您已经构建了第一个模型！现在我们需要找到一种方法来评估它。 + +### 评估您的模型 + +为了评估您的模型，您可以执行所谓的 `逐步验证`。在实践中，每次有新数据可用时，时间序列模型都会重新训练。这使得模型能够在每个时间步进行最佳预测。 + +使用此技术从时间序列的开头开始，在训练数据集上训练模型。然后对下一个时间步进行预测。预测结果与已知值进行评估。然后扩展训练集以包含已知值，并重复该过程。 + +> 注意：为了更高效地训练，您应该保持训练集窗口固定，这样每次向训练集中添加新观测值时，您都会从集合的开头移除观测值。 + +此过程提供了模型在实践中表现的更稳健估计。然而，这需要创建许多模型的计算成本。如果数据量较小或模型较简单，这是可以接受的，但在规模较大时可能会成为问题。 + +逐步验证是时间序列模型评估的黄金标准，建议在您的项目中使用。 + +1. 首先，为每个时间范围步创建一个测试数据点。 + + ```python + test_shifted = test.copy() + + for t in range(1, HORIZON+1): + test_shifted['load+'+str(t)] = test_shifted['load'].shift(-t, freq='H') + + test_shifted = test_shifted.dropna(how='any') + test_shifted.head(5) + ``` + + | | | load | load+1 | load+2 | + | ---------- | -------- | ---- | ------ | ------ | + | 2014-12-30 | 00:00:00 | 0.33 | 0.29 | 0.27 | + | 2014-12-30 | 01:00:00 | 0.29 | 0.27 | 0.27 | + | 2014-12-30 | 02:00:00 | 0.27 | 0.27 | 0.30 | + | 2014-12-30 | 03:00:00 | 0.27 | 0.30 | 0.41 | + | 2014-12-30 | 04:00:00 | 0.30 | 0.41 | 0.57 | + + 数据根据其时间范围点水平移动。 + +1. 使用滑动窗口方法对测试数据进行预测，循环大小为测试数据长度： + + ```python + %%time + training_window = 720 # dedicate 30 days (720 hours) for training + + train_ts = train['load'] + test_ts = test_shifted + + history = [x for x in train_ts] + history = history[(-training_window):] + + predictions = list() + + order = (2, 1, 0) + seasonal_order = (1, 1, 0, 24) + + for t in range(test_ts.shape[0]): + model = SARIMAX(endog=history, order=order, seasonal_order=seasonal_order) + model_fit = model.fit() + yhat = model_fit.forecast(steps = HORIZON) + predictions.append(yhat) + obs = list(test_ts.iloc[t]) + # move the training window + history.append(obs[0]) + history.pop(0) + print(test_ts.index[t]) + print(t+1, ': predicted =', yhat, 'expected =', obs) + ``` + + 您可以观察训练过程： + + ```output + 2014-12-30 00:00:00 + 1 : predicted = [0.32 0.29 0.28] expected = [0.32945389435989236, 0.2900626678603402, 0.2739480752014323] + + 2014-12-30 01:00:00 + 2 : predicted = [0.3 0.29 0.3 ] expected = [0.2900626678603402, 0.2739480752014323, 0.26812891674127126] + + 2014-12-30 02:00:00 + 3 : predicted = [0.27 0.28 0.32] expected = [0.2739480752014323, 0.26812891674127126, 0.3025962399283795] + ``` + +1. 将预测结果与实际负载进行比较： + + ```python + eval_df = pd.DataFrame(predictions, columns=['t+'+str(t) for t in range(1, HORIZON+1)]) + eval_df['timestamp'] = test.index[0:len(test.index)-HORIZON+1] + eval_df = pd.melt(eval_df, id_vars='timestamp', value_name='prediction', var_name='h') + eval_df['actual'] = np.array(np.transpose(test_ts)).ravel() + eval_df[['prediction', 'actual']] = scaler.inverse_transform(eval_df[['prediction', 'actual']]) + eval_df.head() + ``` + + 输出 + | | | timestamp | h | prediction | actual | + | --- | ---------- | --------- | --- | ---------- | -------- | + | 0 | 2014-12-30 | 00:00:00 | t+1 | 3,008.74 | 3,023.00 | + | 1 | 2014-12-30 | 01:00:00 | t+1 | 2,955.53 | 2,935.00 | + | 2 | 2014-12-30 | 02:00:00 | t+1 | 2,900.17 | 2,899.00 | + | 3 | 2014-12-30 | 03:00:00 | t+1 | 2,917.69 | 2,886.00 | + | 4 | 2014-12-30 | 04:00:00 | t+1 | 2,946.99 | 2,963.00 | + + 观察每小时数据的预测结果，与实际负载进行比较。准确性如何？ + +### 检查模型准确性 + +通过测试所有预测的平均绝对百分比误差 (MAPE) 来检查模型的准确性。 +> **🧮 展示数学公式** +> +> ![MAPE](../../../../7-TimeSeries/2-ARIMA/images/mape.png) +> +> [MAPE](https://www.linkedin.com/pulse/what-mape-mad-msd-time-series-allameh-statistics/) 用于以上述公式定义的比率显示预测准确性。实际值与预测值之间的差异除以实际值。 +> +> “在此计算中，绝对值会对每个预测点进行求和，然后除以拟合点的数量 n。” [wikipedia](https://wikipedia.org/wiki/Mean_absolute_percentage_error) +1. 用代码表示公式： + + ```python + if(HORIZON > 1): + eval_df['APE'] = (eval_df['prediction'] - eval_df['actual']).abs() / eval_df['actual'] + print(eval_df.groupby('h')['APE'].mean()) + ``` + +1. 计算单步预测的MAPE： + + ```python + print('One step forecast MAPE: ', (mape(eval_df[eval_df['h'] == 't+1']['prediction'], eval_df[eval_df['h'] == 't+1']['actual']))*100, '%') + ``` + + 单步预测的MAPE：0.5570581332313952 % + +1. 打印多步预测的MAPE： + + ```python + print('Multi-step forecast MAPE: ', mape(eval_df['prediction'], eval_df['actual'])*100, '%') + ``` + + ```output + Multi-step forecast MAPE: 1.1460048657704118 % + ``` + + 一个较低的数值是最好的：请注意，如果预测的MAPE为10，则表示误差为10%。 + +1. 但正如往常一样，这种准确性测量通过可视化更容易理解，所以让我们绘制一下： + + ```python + if(HORIZON == 1): + ## Plotting single step forecast + eval_df.plot(x='timestamp', y=['actual', 'prediction'], style=['r', 'b'], figsize=(15, 8)) + + else: + ## Plotting multi step forecast + plot_df = eval_df[(eval_df.h=='t+1')][['timestamp', 'actual']] + for t in range(1, HORIZON+1): + plot_df['t+'+str(t)] = eval_df[(eval_df.h=='t+'+str(t))]['prediction'].values + + fig = plt.figure(figsize=(15, 8)) + ax = plt.plot(plot_df['timestamp'], plot_df['actual'], color='red', linewidth=4.0) + ax = fig.add_subplot(111) + for t in range(1, HORIZON+1): + x = plot_df['timestamp'][(t-1):] + y = plot_df['t+'+str(t)][0:len(x)] + ax.plot(x, y, color='blue', linewidth=4*math.pow(.9,t), alpha=math.pow(0.8,t)) + + ax.legend(loc='best') + + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![时间序列模型](../../../../7-TimeSeries/2-ARIMA/images/accuracy.png) + +🏆 非常棒的图表，展示了一个具有良好准确性的模型。干得好！ + +--- + +## 🚀挑战 + +深入研究测试时间序列模型准确性的方法。本课中我们提到了MAPE，但还有其他方法可以使用吗？研究它们并进行注释。可以参考[这份文档](https://otexts.com/fpp2/accuracy.html)。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +本课仅涉及ARIMA时间序列预测的基础知识。花些时间通过研究[这个仓库](https://microsoft.github.io/forecasting/)及其各种模型类型，深入了解其他构建时间序列模型的方法。 + +## 作业 + +[一个新的ARIMA模型](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/assignment.md b/translations/zh-CN/7-TimeSeries/2-ARIMA/assignment.md new file mode 100644 index 000000000..67cfc44e3 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/assignment.md @@ -0,0 +1,16 @@ +# 一个新的ARIMA模型 + +## 说明 + +现在您已经构建了一个ARIMA模型，请使用新的数据集构建一个新的模型（可以尝试使用[杜克大学的这些数据集](http://www2.stat.duke.edu/~mw/ts_data_sets.html)）。在笔记本中记录您的工作，可视化数据和模型，并使用MAPE测试其准确性。 + +## 评分标准 + +| 标准 | 卓越 | 合格 | 需要改进 | +| -------- | ------------------------------------------------------------------------------------------------------------------- | -------------------------------------------------------- | ----------------------------------- | +| | 提交的笔记本中包含一个新的ARIMA模型，经过测试并通过可视化和准确性说明进行解释。 | 提交的笔记本未进行注释或存在错误 | 提交的笔记本不完整 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/Julia/README.md b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/Julia/README.md new file mode 100644 index 000000000..779236745 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/R/README.md b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/R/README.md new file mode 100644 index 000000000..ba3fc1469 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/notebook.ipynb b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/notebook.ipynb new file mode 100644 index 000000000..e0e051feb --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/solution/notebook.ipynb @@ -0,0 +1,1135 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "陶宏、Pierre Pinson、Shu Fan、Hamidreza Zareipour、Alberto Troccoli 和 Rob J. Hyndman，“概率能源预测：2014年全球能源预测竞赛及未来”，《国际预测期刊》，第32卷，第3期，页896-913，2016年7月至9月。\n" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## 安装依赖项\n", + "首先安装一些必要的依赖项。这些库及其对应版本已知可以正常运行解决方案：\n", + "\n", + "* `statsmodels == 0.12.2`\n", + "* `matplotlib == 3.4.2`\n", + "* `scikit-learn == 0.24.2`\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 16, + "source": [ + "!pip install statsmodels" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "/bin/sh: pip: command not found\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 17, + "source": [ + "import os\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "import math\n", + "\n", + "from pandas.plotting import autocorrelation_plot\n", + "from statsmodels.tsa.statespace.sarimax import SARIMAX\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "from common.utils import load_data, mape\n", + "from IPython.display import Image\n", + "\n", + "%matplotlib inline\n", + "pd.options.display.float_format = '{:,.2f}'.format\n", + "np.set_printoptions(precision=2)\n", + "warnings.filterwarnings(\"ignore\") # specify to ignore warning messages\n" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 18, + "source": [ + "energy = load_data('./data')[['load']]\n", + "energy.head(10)" + ], + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " load\n", + "2012-01-01 00:00:00 2,698.00\n", + "2012-01-01 01:00:00 2,558.00\n", + "2012-01-01 02:00:00 2,444.00\n", + "2012-01-01 03:00:00 2,402.00\n", + "2012-01-01 04:00:00 2,403.00\n", + "2012-01-01 05:00:00 2,453.00\n", + "2012-01-01 06:00:00 2,560.00\n", + "2012-01-01 07:00:00 2,719.00\n", + "2012-01-01 08:00:00 2,916.00\n", + "2012-01-01 09:00:00 3,105.00" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "绘制所有可用的负载数据（2012年1月至2014年12月）\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 19, + "source": [ + "energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## 创建训练和测试数据集\n", + "\n", + "### 数据集的重要性\n", + "在机器学习中，数据集是模型训练和评估的核心。一个好的数据集可以显著提高模型的性能，而一个不平衡或质量较差的数据集可能会导致模型表现不佳。\n", + "\n", + "### 划分数据集\n", + "通常情况下，数据集会被分为三个部分：\n", + "- **训练集**：用于训练模型。\n", + "- **验证集**：用于调整模型参数和选择最佳模型。\n", + "- **测试集**：用于评估模型的最终性能。\n", + "\n", + "### 如何划分数据集\n", + "以下是一些常见的划分比例：\n", + "- 训练集占 70%，验证集占 15%，测试集占 15%。\n", + "- 如果数据量较大，可以考虑训练集占 80%，验证集和测试集各占 10%。\n", + "\n", + "### 注意事项\n", + "- 确保数据集的分布一致，避免训练集和测试集之间的分布差异。\n", + "- 如果数据集较小，可以使用交叉验证来提高模型的可靠性。\n", + "\n", + "### 示例代码\n", + "以下是一个简单的代码示例，展示如何使用 @@INLINE_CODE_x@@ 划分数据集：\n", + "\n", + "```python\n", + "# 导入必要的库\n", + "import random\n", + "\n", + "# 定义数据集\n", + "data = ['样本1', '样本2', '样本3', '样本4', '样本5']\n", + "\n", + "# 随机打乱数据\n", + "random.shuffle(data)\n", + "\n", + "# 划分数据集\n", + "train_data = data[:3]\n", + "test_data = data[3:]\n", + "\n", + "print(\"训练集:\", train_data)\n", + "print(\"测试集:\", test_data)\n", + "```\n", + "\n", + "### [!TIP]\n", + "在实际项目中，使用库（如 @@INLINE_CODE_x@@ 或 @@INLINE_CODE_x@@）可以简化数据集划分的过程。\n", + "\n", + "### 总结\n", + "划分数据集是机器学习项目中的重要步骤。通过合理的划分，可以确保模型的训练和评估更加可靠，从而提高模型的实际应用效果。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "source": [ + "train_start_dt = '2014-11-01 00:00:00'\n", + "test_start_dt = '2014-12-30 00:00:00' " + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 21, + "source": [ + "energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)][['load']].rename(columns={'load':'train'}) \\\n", + " .join(energy[test_start_dt:][['load']].rename(columns={'load':'test'}), how='outer') \\\n", + " .plot(y=['train', 'test'], figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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" + ], + "text/plain": [ + " load\n", + "2014-11-01 00:00:00 0.10\n", + "2014-11-01 01:00:00 0.07\n", + "2014-11-01 02:00:00 0.05\n", + "2014-11-01 03:00:00 0.04\n", + "2014-11-01 04:00:00 0.06\n", + "2014-11-01 05:00:00 0.10\n", + "2014-11-01 06:00:00 0.19\n", + "2014-11-01 07:00:00 0.31\n", + "2014-11-01 08:00:00 0.40\n", + "2014-11-01 09:00:00 0.48" + ] + }, + "metadata": {}, + "execution_count": 23 + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "原始数据与缩放数据：\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 24, + "source": [ + "energy[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']].rename(columns={'load':'original load'}).plot.hist(bins=100, fontsize=12)\n", + "train.rename(columns={'load':'scaled load'}).plot.hist(bins=100, fontsize=12)\n", + "plt.show()" + ], + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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5vT9d1yNJRwH3pPtcna7uAEaVbToK2JkxHjMz6wNZWwI/Bp6W9GD6+gJgWU87SRJwJ0nCODciDqRFG4AFJdsNB05M15uZWY1kaglExH8HrgD+LV2uiIibM+x6BzAZOD8i9pSsfxCYImmepCaSm87Wu1PYzKy2qrnhaxiwIyLuktQs6aMR8WqljdPHUX6Z5MH0byeNAgC+HBHLJc0DvgvcS3KfwPwjOgMzqxtPmd34sg4RvZ5khNBE4C5gCMmX9xmV9klv/FI35auBSdUEa2ZmfStrx/CFwFxgF0BEvEkXI3nMzKyxZE0C+yMiSKeTTjtyzcyswWVNAj+T9APgaElfAlbjB8yYmTW8rHMHLUmfLbyDpF/guoh4NNfIrKH5Ttq+5zq1PPSYBCQNAlank8j5i9/MbADp8XJQRLwLvCfpwzWIx8zMaijrfQIdwO8kPUo6QgggIr6aS1RmZlYTWZPAynQxM7MBpNskIGl8RLweET3OE2S9404/q4bv1LW+0lOfwKrOHyQ9kHMsZmZWYz0lgdJpH07IMxAzM6u9npJAVPjZzMwGgJ46hk+VtIOkRfCh9GfS1xER5Q+GMTOzBtJtEoiIQbUKxGqrUsdiaad0lm36s952nla7vztrrRFlnTvIzMwGoFyTgKSrJbVJ2ifp7pL1LZJCUkfJsijPWMzM7HDVPFnsSLwJ3AScA3yoi/KjI+JgzjGYmVkFuSaBiFgJIKkVGJfne5mZWfXybgn0ZJOkIJmd9K8iYmv5BpIWAgsBxo8fX+Pw6iNLB2OjdM5aMVV7B7zvmK+fenUMbwVmAhOAGSSPqlze1YYRsTQiWiOitbm5uYYhmpkNfHVpCUREB9CWvnxH0tXAW5JGRsTOesRkZlZE/WWIaOfdyP0lHjOzQsi1JSBpcPoeg4BBkpqAgySXgP4AbASOAW4D1kTE9jzjMTOzQ+V9OehbwPUlry8F/gZ4CbgZOI7kucWPAhfnHEvduNPrA64L61RpAIQ7lWsr7yGii4HFFYrvy/O9zcysZ74Gb2ZWYE4CZmYF5iRgZlZg9b5j2I5Qlk61RuWOQbPacUvAzKzAnATMzArMScDMrMCcBMzMCswdw0egUkfkQOuUbcRjZnmv7jqSB8Lv0KwabgmYmRWYk4CZWYE5CZiZFZiTgJlZgbljuJfckfiB3tSF67EY+uoz4jvD+45bAmZmBZZrEpB0taQ2Sfsk3V1W9llJ7ZJ2S3pM0oQ8YzEzs8Pl3RJ4E7gJ+FHpSkljgJXAIuBYkofO/zTnWMzMrEzeTxZbCSCpFRhXUnQRsCEifp6WLwa2SpoUEe15xmRmZh+oV8fwycC6zhcRsUvSK+n6Q5KApIXAQoDx48fXMkbrZxrlbmbrO/795K9eHcMjgO1l67YDI8s3jIilEdEaEa3Nzc01Cc7MrCjqlQQ6gFFl60YBO+sQi5lZYdUrCWwATu18IWk4cGK63szMaiTvIaKDJTUBg4BBkpokDQYeBKZImpeWXwesd6ewmVlt5d0x/C3g+pLXlwJ/ExGLJc0DvgvcCzwFzM85ll5p9A6qRo/fzPKR9xDRxcDiCmWrgUl5vr+ZmXXP00aYmRWYk4CZWYE5CZiZFZinku6G71DNl+uiGPrD77lSDJ6S2i0BM7NCcxIwMyswJwEzswJzEjAzKzB3DJfpD51Y9gH/Pqwr/lz0HbcEzMwKzEnAzKzAnATMzArMScDMrMAK2zFc2rHkuwar404566/8d109twTMzAqsrklA0hpJeyV1pMtL9YzHzKxo+kNL4OqIGJEuE+sdjJlZkfSHJGBmZnXSH5LALZK2SnpS0px6B2NmViT1TgJ/DZwAHA8sBR6SdGLpBpIWSmqT1LZly5Z6xGhmNmDVNQlExFMRsTMi9kXEMuBJ4NyybZZGRGtEtDY3N9cnUDOzAareLYFyAajeQZiZFUXdkoCkoyWdI6lJ0mBJXwBmA/9Yr5jMzIqmnncMDwFuAiYB7wLtwAUR8XIdYzIzK5S6JYGI2ALMrNf7m9nAlmV6E08z0f/6BMzMrIacBMzMCsxJwMyswJwEzMwKrLDPEzAzq6RIHcZuCZiZFZiTgJlZgTkJmJkVmJOAmVmBFapj2A9IN7PeyPod0kidyW4JmJkVmJOAmVmBOQmYmRWYk4CZWYEVqmPYzKySSp2+RzKgpNo7jittX4s7l90SMDMrsLomAUnHSnpQ0i5JmyRdUs94zMyKpt6Xg74H7AfGAh8HfilpXURsqG9YZmbFUM8HzQ8H5gGLIqIjIp4AfgH853rFZGZWNIqI+ryxNA14MiKGlaz7OnBmRJxfsm4hsDB9ORF4qaaB9t4YYGu9g+hHXB+Hcn0cyvVxqL6qjwkR0dxVQT0vB40AdpSt2w6MLF0REUuBpbUKqq9JaouI1nrH0V+4Pg7l+jiU6+NQtaiPenYMdwCjytaNAnbWIRYzs0KqZxJ4GRgs6WMl604F3ClsZlYjdUsCEbELWAncIGm4pDOAzwP31CumnDTspaycuD4O5fo4lOvjULnXR906hiG5TwD4EfCnwDbgmxGxom4BmZkVTF2TgJmZ1ZenjTAzKzAnATOzAnMSyEDSUEl3pvMb7ZT0nKQ/S8taJIWkjpJlUdm+P5K0Q9Lbkq4pO/ZnJbVL2i3pMUkTan1+R0LSvZLeSs/rZUlXlpRVPKeBWh9QuU6K+hkBkPQxSXsl3Vuy7pL0b2mXpFVp32BnWbfziXW3b6MorxNJcyS9V/b5WFCyfb51EhFeeliA4cBioIUkcf5HkvsZWtIlgMEV9r0FeBw4BpgMvA38h7RsDMkNcn8ONAF/C/xrvc83Y52cDAxNf56UnteMns5poNZHD3VSyM9IGv8/ped2b0kd7QRmk9wwugL4Scn29wE/Tcs+nZ77yVn2bZSlizqZA2zuZvtc66TuFdKoC7CeZO6jnv7A3wQ+V/L6xs5fEsl0GP9cUjYc2ANMqvf5VVkXE4G3gL/o6ZyKUB9d1EkhPyPAfOBnJP+B6vzCuxlYUbLNiSSTSI5Mz20/cFJJ+T3At3vat97n2ss6qZgEalEnvhx0BCSNBU7i0BvbNknaLOkuSWPS7Y4B/ghYV7LdOpLsTfrv+2WR3DvxSkl5vybpdkm7gXaSL7xH6OacBnp9QMU66VSYz4ikUcANwDVlReXn8wrpl1y6HIyIl0u2764uSvft97qpE4DjJL0j6VVJf69kgk2oQZ04CVRJ0hBgObAsItpJJneaCUwgafqPTMshaZ5B0nyj5OeRJeWlZeXl/VpEfIUk1lkkN/7to/tzGtD1ARXrpIifkRuBOyNic9n6nj4f3c0n1qh10alSnbSTTKX/R8BnSD4jt6ZludeJk0AVJB1F0hTbD1wNEMk02G0RcTAi3knXf07SSJL5keDQOZJK50dq+PmTIuLdSKYBHwdcRffnNODrAw6vk6J9RiR9HDgb+Psuinv6fHR3rg1XF526q5OIeDsiXoiI9yLiVeAbJJeaoQZ14iSQkSQBd5I8AGdeRByosGnn3XdHRcS/kVwSOLWkvHR+pA2lZWkT8EQac/6kwXwQe5fnVLD6gA/qpNxA/4zMIekHeV3S28DXgXmSnuXw8zkBGEoyl1hP84l1t29/N4fKdVIu+OC7Of86qXdHSaMswPeBfwVGlK0/jaQT8ChgNEkv/mMl5d8GfkMy8mMSyR9858iPZpKm2zySkR//gwYY+QEcR9LBNQIYBJwD7ALm9nROA7E+MtRJoT4jwDDgIyXLEuD+9FxOJrm8MYuk0/NeDh0d9BOS0TDDgTM4fCRMxX3789JDnZxFcqlQwB8DjwF31apO6l45jbCkv6AA9pI0vzqXLwAXA6+mf/BvAT8GPlKy71CS+ZF2AO8A15Qd+2ySa4J7gDVAS73PN0N9NKdfWn9Iz+t3wJeynNNArI+e6qSIn5Gy+BeTjoRJX18CvJ7Wxz8Ax5aUHQusSsteBy4pO1bFfRtp4dDRQdcA/w/YDbwB3EbJ6J6868RzB5mZFZj7BMzMCsxJwMyswJwEzMwKzEnAzKzAnATMzArMScDMrMCcBMzMCsxJwMyswP4/zu7dqmtpqTMAAAAASUVORK5CYII=", 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" + ], + "text/plain": [ + " load\n", + "2014-12-30 00:00:00 0.33\n", + "2014-12-30 01:00:00 0.29\n", + "2014-12-30 02:00:00 0.27\n", + "2014-12-30 03:00:00 0.27\n", + "2014-12-30 04:00:00 0.30" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 26, + "source": [ + "# Specify the number of steps to forecast ahead\n", + "HORIZON = 3\n", + "print('Forecasting horizon:', HORIZON, 'hours')" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Forecasting horizon: 3 hours\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 27, + "source": [ + "order = (4, 1, 0)\n", + "seasonal_order = (1, 1, 0, 24)\n", + "\n", + "model = SARIMAX(endog=train, order=order, seasonal_order=seasonal_order)\n", + "results = model.fit()\n", + "\n", + "print(results.summary())\n" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " SARIMAX Results \n", + "==========================================================================================\n", + "Dep. Variable: load No. Observations: 1416\n", + "Model: SARIMAX(4, 1, 0)x(1, 1, 0, 24) Log Likelihood 3477.239\n", + "Date: Thu, 30 Sep 2021 AIC -6942.477\n", + "Time: 14:36:28 BIC -6911.050\n", + "Sample: 11-01-2014 HQIC -6930.725\n", + " - 12-29-2014 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "ar.L1 0.8403 0.016 52.226 0.000 0.809 0.872\n", + "ar.L2 -0.5220 0.034 -15.388 0.000 -0.588 -0.456\n", + "ar.L3 0.1536 0.044 3.470 0.001 0.067 0.240\n", + "ar.L4 -0.0778 0.036 -2.158 0.031 -0.148 -0.007\n", + "ar.S.L24 -0.2327 0.024 -9.718 0.000 -0.280 -0.186\n", + "sigma2 0.0004 8.32e-06 47.358 0.000 0.000 0.000\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 0.05 Jarque-Bera (JB): 1464.60\n", + "Prob(Q): 0.83 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.84 Skew: 0.14\n", + "Prob(H) (two-sided): 0.07 Kurtosis: 8.02\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## 评估模型\n" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "为每个HORIZON步骤创建一个测试数据点。\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 28, + "source": [ + "test_shifted = test.copy()\n", + "\n", + "for t in range(1, HORIZON):\n", + " test_shifted['load+'+str(t)] = test_shifted['load'].shift(-t, freq='H')\n", + " \n", + "test_shifted = test_shifted.dropna(how='any')\n", + "test_shifted.head(5)" + ], + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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loadload+1load+2
2014-12-30 00:00:000.330.290.27
2014-12-30 01:00:000.290.270.27
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" + ], + "text/plain": [ + " load load+1 load+2\n", + "2014-12-30 00:00:00 0.33 0.29 0.27\n", + "2014-12-30 01:00:00 0.29 0.27 0.27\n", + "2014-12-30 02:00:00 0.27 0.27 0.30\n", + "2014-12-30 03:00:00 0.27 0.30 0.41\n", + "2014-12-30 04:00:00 0.30 0.41 0.57" + ] + }, + "metadata": {}, + "execution_count": 28 + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "对测试数据进行预测\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 29, + "source": [ + "%%time\n", + "training_window = 720 # dedicate 30 days (720 hours) for training\n", + "\n", + "train_ts = train['load']\n", + "test_ts = test_shifted\n", + "\n", + "history = [x for x in train_ts]\n", + "history = history[(-training_window):]\n", + "\n", + "predictions = list()\n", + "\n", + "# let's user simpler model for demonstration\n", + "order = (2, 1, 0)\n", + "seasonal_order = (1, 1, 0, 24)\n", + "\n", + "for t in range(test_ts.shape[0]):\n", + " model = SARIMAX(endog=history, order=order, seasonal_order=seasonal_order)\n", + " model_fit = model.fit()\n", + " yhat = model_fit.forecast(steps = HORIZON)\n", + " predictions.append(yhat)\n", + " obs = list(test_ts.iloc[t])\n", + " # move the training window\n", + " history.append(obs[0])\n", + " history.pop(0)\n", + " print(test_ts.index[t])\n", + " print(t+1, ': predicted =', yhat, 'expected =', obs)" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "2014-12-30 00:00:00\n", + "1 : predicted = [0.32 0.29 0.28] expected = [0.32945389435989236, 0.2900626678603402, 0.2739480752014323]\n", + "2014-12-30 01:00:00\n", + "2 : predicted = [0.3 0.29 0.3 ] expected = [0.2900626678603402, 0.2739480752014323, 0.26812891674127126]\n", + "2014-12-30 02:00:00\n", + "3 : predicted = [0.27 0.28 0.32] expected = [0.2739480752014323, 0.26812891674127126, 0.3025962399283795]\n", + "2014-12-30 03:00:00\n", + "4 : predicted = [0.28 0.32 0.42] expected = [0.26812891674127126, 0.3025962399283795, 0.40823634735899716]\n", + "2014-12-30 04:00:00\n", + "5 : predicted = [0.3 0.39 0.54] expected = [0.3025962399283795, 0.40823634735899716, 0.5689346463742166]\n", + "2014-12-30 05:00:00\n", + "6 : predicted = [0.4 0.55 0.66] expected = [0.40823634735899716, 0.5689346463742166, 0.6799462846911368]\n", + "2014-12-30 06:00:00\n", + "7 : predicted = [0.57 0.68 0.75] expected = [0.5689346463742166, 0.6799462846911368, 0.7309758281110115]\n", + "2014-12-30 07:00:00\n", + "8 : predicted = [0.68 0.75 0.8 ] expected = [0.6799462846911368, 0.7309758281110115, 0.7511190689346463]\n", + "2014-12-30 08:00:00\n", + "9 : predicted = [0.75 0.8 0.82] expected = [0.7309758281110115, 0.7511190689346463, 0.7636526410026856]\n", + "2014-12-30 09:00:00\n", + "10 : predicted = [0.77 0.78 0.78] expected = [0.7511190689346463, 0.7636526410026856, 0.7381378692927483]\n", + "2014-12-30 10:00:00\n", + "11 : predicted = [0.76 0.75 0.74] expected = [0.7636526410026856, 0.7381378692927483, 0.7188898836168307]\n", + "2014-12-30 11:00:00\n", + "12 : predicted = [0.77 0.76 0.75] expected = [0.7381378692927483, 0.7188898836168307, 0.7090420769919425]\n", + "2014-12-30 12:00:00\n", + "13 : predicted = [0.7 0.68 0.69] expected = [0.7188898836168307, 0.7090420769919425, 0.7081468218442255]\n", + "2014-12-30 13:00:00\n", + "14 : predicted = [0.72 0.73 0.76] expected = [0.7090420769919425, 0.7081468218442255, 0.7385854968666068]\n", + "2014-12-30 14:00:00\n", + "15 : predicted = [0.71 0.73 0.86] expected = [0.7081468218442255, 0.7385854968666068, 0.8478066248880931]\n", + "2014-12-30 15:00:00\n", + "16 : predicted = [0.73 0.85 0.97] expected = [0.7385854968666068, 0.8478066248880931, 0.9516562220232765]\n", + "2014-12-30 16:00:00\n", + "17 : predicted = [0.87 0.99 0.97] expected = [0.8478066248880931, 0.9516562220232765, 0.934198746642793]\n", + "2014-12-30 17:00:00\n", + "18 : predicted = [0.94 0.92 0.86] expected = [0.9516562220232765, 0.934198746642793, 0.8876454789615038]\n", + "2014-12-30 18:00:00\n", + "19 : predicted = [0.94 0.89 0.82] expected = [0.934198746642793, 0.8876454789615038, 0.8294538943598924]\n", + "2014-12-30 19:00:00\n", + "20 : predicted = [0.88 0.82 0.71] expected = [0.8876454789615038, 0.8294538943598924, 0.7197851387645477]\n", + "2014-12-30 20:00:00\n", + "21 : predicted = [0.83 0.72 0.58] expected = [0.8294538943598924, 0.7197851387645477, 0.5747538048343777]\n", + "2014-12-30 21:00:00\n", + "22 : predicted = [0.72 0.58 0.47] expected = [0.7197851387645477, 0.5747538048343777, 0.4592658907788718]\n", + "2014-12-30 22:00:00\n", + "23 : predicted = [0.58 0.47 0.39] expected = [0.5747538048343777, 0.4592658907788718, 0.3858549686660697]\n", + "2014-12-30 23:00:00\n", + "24 : predicted = [0.46 0.38 0.34] expected = [0.4592658907788718, 0.3858549686660697, 0.34377797672336596]\n", + "2014-12-31 00:00:00\n", + "25 : predicted = [0.38 0.34 0.33] expected = [0.3858549686660697, 0.34377797672336596, 0.32542524619516544]\n", + "2014-12-31 01:00:00\n", + "26 : predicted = [0.36 0.34 0.34] expected = [0.34377797672336596, 0.32542524619516544, 0.33034914950760963]\n", + "2014-12-31 02:00:00\n", + "27 : predicted = [0.32 0.32 0.35] expected = [0.32542524619516544, 0.33034914950760963, 0.3706356311548791]\n", + "2014-12-31 03:00:00\n", + "28 : predicted = [0.32 0.36 0.47] expected = [0.33034914950760963, 0.3706356311548791, 0.470008952551477]\n", + "2014-12-31 04:00:00\n", + "29 : predicted = [0.37 0.48 0.65] expected = [0.3706356311548791, 0.470008952551477, 0.6145926589077886]\n", + "2014-12-31 05:00:00\n", + "30 : predicted = [0.48 0.64 0.75] expected = [0.470008952551477, 0.6145926589077886, 0.7247090420769919]\n", + "2014-12-31 06:00:00\n", + "31 : predicted = [0.63 0.73 0.79] expected = [0.6145926589077886, 0.7247090420769919, 0.786034019695613]\n", + "2014-12-31 07:00:00\n", + "32 : predicted = [0.71 0.76 0.79] expected = [0.7247090420769919, 0.786034019695613, 0.8012533572068039]\n", + "2014-12-31 08:00:00\n", + "33 : predicted = [0.79 0.82 0.83] expected = [0.786034019695613, 0.8012533572068039, 0.7994628469113696]\n", + "2014-12-31 09:00:00\n", + "34 : predicted = [0.82 0.83 0.81] expected = [0.8012533572068039, 0.7994628469113696, 0.780214861235452]\n", + "2014-12-31 10:00:00\n", + "35 : predicted = [0.8 0.78 0.76] expected = [0.7994628469113696, 0.780214861235452, 0.7587287376902416]\n", + "2014-12-31 11:00:00\n", + "36 : predicted = [0.77 0.75 0.74] expected = [0.780214861235452, 0.7587287376902416, 0.7367949865711727]\n", + "2014-12-31 12:00:00\n", + "37 : predicted = [0.77 0.76 0.76] expected = [0.7587287376902416, 0.7367949865711727, 0.7188898836168307]\n", + "2014-12-31 13:00:00\n", + "38 : predicted = [0.75 0.75 0.78] expected = [0.7367949865711727, 0.7188898836168307, 0.7273948075201431]\n", + "2014-12-31 14:00:00\n", + "39 : predicted = [0.73 0.75 0.87] expected = [0.7188898836168307, 0.7273948075201431, 0.8299015219337511]\n", + "2014-12-31 15:00:00\n", + "40 : predicted = [0.74 0.85 0.96] expected = [0.7273948075201431, 0.8299015219337511, 0.909579230080573]\n", + "2014-12-31 16:00:00\n", + "41 : predicted = [0.83 0.94 0.93] expected = [0.8299015219337511, 0.909579230080573, 0.855863921217547]\n", + "2014-12-31 17:00:00\n", + "42 : predicted = [0.94 0.93 0.88] expected = [0.909579230080573, 0.855863921217547, 0.7721575649059982]\n", + "2014-12-31 18:00:00\n", + "43 : predicted = [0.87 0.82 0.77] expected = [0.855863921217547, 0.7721575649059982, 0.7023276633840643]\n", + "2014-12-31 19:00:00\n", + "44 : predicted = [0.79 0.73 0.63] expected = [0.7721575649059982, 0.7023276633840643, 0.6195165622202325]\n", + "2014-12-31 20:00:00\n", + "45 : predicted = [0.7 0.59 0.46] expected = [0.7023276633840643, 0.6195165622202325, 0.5425246195165621]\n", + "2014-12-31 21:00:00\n", + "46 : predicted = [0.6 0.47 0.36] expected = [0.6195165622202325, 0.5425246195165621, 0.4735899731423454]\n", + "CPU times: user 12min 15s, sys: 2min 39s, total: 14min 54s\n", + "Wall time: 2min 36s\n" + ] + } + ], + "metadata": { + "scrolled": true + } + }, + { + "cell_type": "markdown", + "source": [ + "将预测与实际负载进行比较\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 30, + "source": [ + "eval_df = pd.DataFrame(predictions, columns=['t+'+str(t) for t in range(1, HORIZON+1)])\n", + "eval_df['timestamp'] = test.index[0:len(test.index)-HORIZON+1]\n", + "eval_df = pd.melt(eval_df, id_vars='timestamp', value_name='prediction', var_name='h')\n", + "eval_df['actual'] = np.array(np.transpose(test_ts)).ravel()\n", + "eval_df[['prediction', 'actual']] = scaler.inverse_transform(eval_df[['prediction', 'actual']])\n", + "eval_df.head()" + ], + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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timestamphpredictionactual
02014-12-30 00:00:00t+13,008.743,023.00
12014-12-30 01:00:00t+12,955.532,935.00
22014-12-30 02:00:00t+12,900.172,899.00
32014-12-30 03:00:00t+12,917.692,886.00
42014-12-30 04:00:00t+12,946.992,963.00
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" + ], + "text/plain": [ + " timestamp h prediction actual\n", + "0 2014-12-30 00:00:00 t+1 3,008.74 3,023.00\n", + "1 2014-12-30 01:00:00 t+1 2,955.53 2,935.00\n", + "2 2014-12-30 02:00:00 t+1 2,900.17 2,899.00\n", + "3 2014-12-30 03:00:00 t+1 2,917.69 2,886.00\n", + "4 2014-12-30 04:00:00 t+1 2,946.99 2,963.00" + ] + }, + "metadata": {}, + "execution_count": 30 + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "计算所有预测的**平均绝对百分比误差 (MAPE)**\n", + "\n", + "$$MAPE = \\frac{1}{n} \\sum_{t=1}^{n}|\\frac{actual_t - predicted_t}{actual_t}|$$\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 31, + "source": [ + "if(HORIZON > 1):\n", + " eval_df['APE'] = (eval_df['prediction'] - eval_df['actual']).abs() / eval_df['actual']\n", + " print(eval_df.groupby('h')['APE'].mean())" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "h\n", + "t+1 0.01\n", + "t+2 0.01\n", + "t+3 0.02\n", + "Name: APE, dtype: float64\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 32, + "source": [ + "print('One step forecast MAPE: ', (mape(eval_df[eval_df['h'] == 't+1']['prediction'], eval_df[eval_df['h'] == 't+1']['actual']))*100, '%')" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "One step forecast MAPE: 0.5570581332313952 %\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 33, + "source": [ + "print('Multi-step forecast MAPE: ', mape(eval_df['prediction'], eval_df['actual'])*100, '%')" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Multi-step forecast MAPE: 1.1460048657704118 %\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "绘制测试集第一周的预测值与实际值的对比图\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 34, + "source": [ + "if(HORIZON == 1):\n", + " ## Plotting single step forecast\n", + " eval_df.plot(x='timestamp', y=['actual', 'prediction'], style=['r', 'b'], figsize=(15, 8))\n", + "\n", + "else:\n", + " ## Plotting multi step forecast\n", + " plot_df = eval_df[(eval_df.h=='t+1')][['timestamp', 'actual']]\n", + " for t in range(1, HORIZON+1):\n", + " plot_df['t+'+str(t)] = eval_df[(eval_df.h=='t+'+str(t))]['prediction'].values\n", + "\n", + " fig = plt.figure(figsize=(15, 8))\n", + " ax = plt.plot(plot_df['timestamp'], plot_df['actual'], color='red', linewidth=4.0)\n", + " ax = fig.add_subplot(111)\n", + " for t in range(1, HORIZON+1):\n", + " x = plot_df['timestamp'][(t-1):]\n", + " y = plot_df['t+'+str(t)][0:len(x)]\n", + " ax.plot(x, y, color='blue', linewidth=4*math.pow(.9,t), alpha=math.pow(0.8,t))\n", + " \n", + " ax.legend(loc='best')\n", + " \n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "No handles with labels found to put in legend.\n" + ] + }, + { + "output_type": "display_data", + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + }, + "metadata": { + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + } + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "c193140200b9684da27e3890211391b6", + "translation_date": "2025-09-03T19:54:16+00:00", + "source_file": "7-TimeSeries/2-ARIMA/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/2-ARIMA/working/notebook.ipynb b/translations/zh-CN/7-TimeSeries/2-ARIMA/working/notebook.ipynb new file mode 100644 index 000000000..fcb883143 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/2-ARIMA/working/notebook.ipynb @@ -0,0 +1,50 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": 3 + }, + "orig_nbformat": 2, + "coopTranslator": { + "original_hash": "523ec472196307b3c4235337353c9ceb", + "translation_date": "2025-09-03T19:55:40+00:00", + "source_file": "7-TimeSeries/2-ARIMA/working/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "陶宏、Pierre Pinson、Shu Fan、Hamidreza Zareipour、Alberto Troccoli 和 Rob J. Hyndman，“概率能源预测：2014年全球能源预测竞赛及未来”，《国际预测期刊》，第32卷，第3期，页896-913，2016年7月至9月。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pip install statsmodels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/3-SVR/README.md b/translations/zh-CN/7-TimeSeries/3-SVR/README.md new file mode 100644 index 000000000..481611734 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/3-SVR/README.md @@ -0,0 +1,384 @@ +# 使用支持向量回归器进行时间序列预测 + +在上一节课中，你学习了如何使用 ARIMA 模型进行时间序列预测。现在，你将学习支持向量回归器（Support Vector Regressor, SVR）模型，这是一种用于预测连续数据的回归模型。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 介绍 + +在本课中，你将学习如何使用[**SVM**（支持向量机）](https://en.wikipedia.org/wiki/Support-vector_machine)构建回归模型，即**SVR（支持向量回归器）**。 + +### 时间序列中的 SVR [^1] + +在理解 SVR 在时间序列预测中的重要性之前，你需要了解以下几个关键概念： + +- **回归（Regression）：** 一种监督学习技术，用于根据给定的输入集预测连续值。其核心思想是拟合一条曲线（或直线），使其尽可能多地通过数据点。[点击这里](https://en.wikipedia.org/wiki/Regression_analysis)了解更多信息。 +- **支持向量机（SVM）：** 一种监督学习模型，可用于分类、回归和异常值检测。SVM 模型在特征空间中是一条超平面，在分类任务中充当边界，在回归任务中充当最佳拟合线。SVM 通常使用核函数将数据集转换到更高维的空间，以便更容易分离。[点击这里](https://en.wikipedia.org/wiki/Support-vector_machine)了解更多关于 SVM 的信息。 +- **支持向量回归器（SVR）：** SVM 的一种变体，用于找到最佳拟合线（在 SVM 中是超平面），使其尽可能多地通过数据点。 + +### 为什么选择 SVR？[^1] + +在上一节课中，你学习了 ARIMA，这是一种非常成功的统计线性方法，用于预测时间序列数据。然而，在许多情况下，时间序列数据具有*非线性*特性，这种特性无法通过线性模型映射。在这种情况下，SVM 在回归任务中处理数据非线性的能力使得 SVR 在时间序列预测中非常成功。 + +## 练习 - 构建一个 SVR 模型 + +数据准备的前几步与上一节关于 [ARIMA](https://github.com/microsoft/ML-For-Beginners/tree/main/7-TimeSeries/2-ARIMA) 的内容相同。 + +打开本课的 [_/working_](https://github.com/microsoft/ML-For-Beginners/tree/main/7-TimeSeries/3-SVR/working) 文件夹，找到 [_notebook.ipynb_](https://github.com/microsoft/ML-For-Beginners/blob/main/7-TimeSeries/3-SVR/working/notebook.ipynb) 文件。[^2] + +1. 运行 notebook 并导入必要的库：[^2] + + ```python + import sys + sys.path.append('../../') + ``` + + ```python + import os + import warnings + import matplotlib.pyplot as plt + import numpy as np + import pandas as pd + import datetime as dt + import math + + from sklearn.svm import SVR + from sklearn.preprocessing import MinMaxScaler + from common.utils import load_data, mape + ``` + +2. 从 `/data/energy.csv` 文件中加载数据到 Pandas 数据框中并查看：[^2] + + ```python + energy = load_data('../../data')[['load']] + ``` + +3. 绘制 2012 年 1 月至 2014 年 12 月的所有能源数据：[^2] + + ```python + energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![完整数据](../../../../7-TimeSeries/3-SVR/images/full-data.png) + + 现在，让我们构建 SVR 模型。 + +### 创建训练集和测试集 + +现在数据已经加载，你可以将其分为训练集和测试集。接着，你需要对数据进行重塑，以创建基于时间步长的数据集，这是 SVR 所需的。你将在训练集上训练模型。训练完成后，你将在训练集、测试集以及完整数据集上评估模型的准确性，以查看整体性能。需要确保测试集覆盖的时间段晚于训练集，以避免模型从未来时间段中获取信息[^2]（这种情况称为*过拟合*）。 + +1. 将 2014 年 9 月 1 日至 10 月 31 日的两个月数据分配给训练集。测试集将包括 2014 年 11 月 1 日至 12 月 31 日的两个月数据：[^2] + + ```python + train_start_dt = '2014-11-01 00:00:00' + test_start_dt = '2014-12-30 00:00:00' + ``` + +2. 可视化差异：[^2] + + ```python + energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)][['load']].rename(columns={'load':'train'}) \ + .join(energy[test_start_dt:][['load']].rename(columns={'load':'test'}), how='outer') \ + .plot(y=['train', 'test'], figsize=(15, 8), fontsize=12) + plt.xlabel('timestamp', fontsize=12) + plt.ylabel('load', fontsize=12) + plt.show() + ``` + + ![训练集和测试集数据](../../../../7-TimeSeries/3-SVR/images/train-test.png) + +### 准备训练数据 + +现在，你需要通过过滤和缩放数据来准备训练数据。过滤数据集以仅包含所需的时间段和列，并通过缩放将数据投影到 0 到 1 的区间内。 + +1. 过滤原始数据集，仅包含上述时间段的数据集，并仅保留所需的“load”列和日期：[^2] + + ```python + train = energy.copy()[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']] + test = energy.copy()[energy.index >= test_start_dt][['load']] + + print('Training data shape: ', train.shape) + print('Test data shape: ', test.shape) + ``` + + ```output + Training data shape: (1416, 1) + Test data shape: (48, 1) + ``` + +2. 将训练数据缩放到 (0, 1) 区间：[^2] + + ```python + scaler = MinMaxScaler() + train['load'] = scaler.fit_transform(train) + ``` + +4. 现在，缩放测试数据：[^2] + + ```python + test['load'] = scaler.transform(test) + ``` + +### 创建基于时间步长的数据 [^1] + +对于 SVR，你需要将输入数据转换为 `[batch, timesteps]` 的形式。因此，你需要重塑现有的 `train_data` 和 `test_data`，以便创建一个新的维度来表示时间步长。 + +```python +# Converting to numpy arrays +train_data = train.values +test_data = test.values +``` + +在本例中，我们设置 `timesteps = 5`。因此，模型的输入是前 4 个时间步的数据，输出是第 5 个时间步的数据。 + +```python +timesteps=5 +``` + +使用嵌套列表推导将训练数据转换为二维张量： + +```python +train_data_timesteps=np.array([[j for j in train_data[i:i+timesteps]] for i in range(0,len(train_data)-timesteps+1)])[:,:,0] +train_data_timesteps.shape +``` + +```output +(1412, 5) +``` + +将测试数据转换为二维张量： + +```python +test_data_timesteps=np.array([[j for j in test_data[i:i+timesteps]] for i in range(0,len(test_data)-timesteps+1)])[:,:,0] +test_data_timesteps.shape +``` + +```output +(44, 5) +``` + +从训练数据和测试数据中选择输入和输出： + +```python +x_train, y_train = train_data_timesteps[:,:timesteps-1],train_data_timesteps[:,[timesteps-1]] +x_test, y_test = test_data_timesteps[:,:timesteps-1],test_data_timesteps[:,[timesteps-1]] + +print(x_train.shape, y_train.shape) +print(x_test.shape, y_test.shape) +``` + +```output +(1412, 4) (1412, 1) +(44, 4) (44, 1) +``` + +### 实现 SVR [^1] + +现在是时候实现 SVR 了。要了解更多关于此实现的信息，你可以参考[此文档](https://scikit-learn.org/stable/modules/generated/sklearn.svm.SVR.html)。在我们的实现中，我们遵循以下步骤： + +1. 调用 `SVR()` 并传入模型超参数：kernel、gamma、C 和 epsilon 来定义模型。 +2. 调用 `fit()` 函数准备训练数据。 +3. 调用 `predict()` 函数进行预测。 + +现在我们创建一个 SVR 模型。在这里，我们使用 [RBF 核函数](https://scikit-learn.org/stable/modules/svm.html#parameters-of-the-rbf-kernel)，并将超参数 gamma、C 和 epsilon 分别设置为 0.5、10 和 0.05。 + +```python +model = SVR(kernel='rbf',gamma=0.5, C=10, epsilon = 0.05) +``` + +#### 在训练数据上拟合模型 [^1] + +```python +model.fit(x_train, y_train[:,0]) +``` + +```output +SVR(C=10, cache_size=200, coef0=0.0, degree=3, epsilon=0.05, gamma=0.5, + kernel='rbf', max_iter=-1, shrinking=True, tol=0.001, verbose=False) +``` + +#### 进行模型预测 [^1] + +```python +y_train_pred = model.predict(x_train).reshape(-1,1) +y_test_pred = model.predict(x_test).reshape(-1,1) + +print(y_train_pred.shape, y_test_pred.shape) +``` + +```output +(1412, 1) (44, 1) +``` + +你已经构建了 SVR！现在我们需要对其进行评估。 + +### 评估模型 [^1] + +为了评估模型，首先我们需要将数据缩放回原始比例。然后，为了检查性能，我们将绘制原始数据和预测数据的时间序列图，并打印 MAPE 结果。 + +将预测值和原始输出缩放回原始比例： + +```python +# Scaling the predictions +y_train_pred = scaler.inverse_transform(y_train_pred) +y_test_pred = scaler.inverse_transform(y_test_pred) + +print(len(y_train_pred), len(y_test_pred)) +``` + +```python +# Scaling the original values +y_train = scaler.inverse_transform(y_train) +y_test = scaler.inverse_transform(y_test) + +print(len(y_train), len(y_test)) +``` + +#### 检查模型在训练数据和测试数据上的性能 [^1] + +我们从数据集中提取时间戳，以显示在图表的 x 轴上。注意，我们使用前 ```timesteps-1``` 个值作为第一个输出的输入，因此输出的时间戳将从那之后开始。 + +```python +train_timestamps = energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)].index[timesteps-1:] +test_timestamps = energy[test_start_dt:].index[timesteps-1:] + +print(len(train_timestamps), len(test_timestamps)) +``` + +```output +1412 44 +``` + +绘制训练数据的预测结果： + +```python +plt.figure(figsize=(25,6)) +plt.plot(train_timestamps, y_train, color = 'red', linewidth=2.0, alpha = 0.6) +plt.plot(train_timestamps, y_train_pred, color = 'blue', linewidth=0.8) +plt.legend(['Actual','Predicted']) +plt.xlabel('Timestamp') +plt.title("Training data prediction") +plt.show() +``` + +![训练数据预测](../../../../7-TimeSeries/3-SVR/images/train-data-predict.png) + +打印训练数据的 MAPE： + +```python +print('MAPE for training data: ', mape(y_train_pred, y_train)*100, '%') +``` + +```output +MAPE for training data: 1.7195710200875551 % +``` + +绘制测试数据的预测结果： + +```python +plt.figure(figsize=(10,3)) +plt.plot(test_timestamps, y_test, color = 'red', linewidth=2.0, alpha = 0.6) +plt.plot(test_timestamps, y_test_pred, color = 'blue', linewidth=0.8) +plt.legend(['Actual','Predicted']) +plt.xlabel('Timestamp') +plt.show() +``` + +![测试数据预测](../../../../7-TimeSeries/3-SVR/images/test-data-predict.png) + +打印测试数据的 MAPE： + +```python +print('MAPE for testing data: ', mape(y_test_pred, y_test)*100, '%') +``` + +```output +MAPE for testing data: 1.2623790187854018 % +``` + +🏆 你在测试数据集上取得了非常好的结果！ + +### 检查模型在完整数据集上的性能 [^1] + +```python +# Extracting load values as numpy array +data = energy.copy().values + +# Scaling +data = scaler.transform(data) + +# Transforming to 2D tensor as per model input requirement +data_timesteps=np.array([[j for j in data[i:i+timesteps]] for i in range(0,len(data)-timesteps+1)])[:,:,0] +print("Tensor shape: ", data_timesteps.shape) + +# Selecting inputs and outputs from data +X, Y = data_timesteps[:,:timesteps-1],data_timesteps[:,[timesteps-1]] +print("X shape: ", X.shape,"\nY shape: ", Y.shape) +``` + +```output +Tensor shape: (26300, 5) +X shape: (26300, 4) +Y shape: (26300, 1) +``` + +```python +# Make model predictions +Y_pred = model.predict(X).reshape(-1,1) + +# Inverse scale and reshape +Y_pred = scaler.inverse_transform(Y_pred) +Y = scaler.inverse_transform(Y) +``` + +```python +plt.figure(figsize=(30,8)) +plt.plot(Y, color = 'red', linewidth=2.0, alpha = 0.6) +plt.plot(Y_pred, color = 'blue', linewidth=0.8) +plt.legend(['Actual','Predicted']) +plt.xlabel('Timestamp') +plt.show() +``` + +![完整数据预测](../../../../7-TimeSeries/3-SVR/images/full-data-predict.png) + +```python +print('MAPE: ', mape(Y_pred, Y)*100, '%') +``` + +```output +MAPE: 2.0572089029888656 % +``` + +🏆 非常棒的图表，显示了一个具有良好准确性的模型。干得好！ + +--- + +## 🚀挑战 + +- 尝试在创建模型时调整超参数（gamma、C、epsilon），并在数据上进行评估，看看哪组超参数在测试数据上表现最佳。要了解更多关于这些超参数的信息，你可以参考[这里的文档](https://scikit-learn.org/stable/modules/svm.html#parameters-of-the-rbf-kernel)。 +- 尝试为模型使用不同的核函数，并分析它们在数据集上的表现。相关文档可以参考[这里](https://scikit-learn.org/stable/modules/svm.html#kernel-functions)。 +- 尝试为模型设置不同的 `timesteps` 值，观察模型在预测时的表现。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +本课旨在介绍 SVR 在时间序列预测中的应用。要了解更多关于 SVR 的信息，你可以参考[这篇博客](https://www.analyticsvidhya.com/blog/2020/03/support-vector-regression-tutorial-for-machine-learning/)。[scikit-learn 的文档](https://scikit-learn.org/stable/modules/svm.html)提供了关于 SVM 的更全面解释，包括 [SVR](https://scikit-learn.org/stable/modules/svm.html#regression) 和其他实现细节，例如可以使用的不同[核函数](https://scikit-learn.org/stable/modules/svm.html#kernel-functions)及其参数。 + +## 作业 + +[一个新的 SVR 模型](assignment.md) + +## 致谢 + +[^1]: 本节中的文本、代码和输出由 [@AnirbanMukherjeeXD](https://github.com/AnirbanMukherjeeXD) 提供 +[^2]: 本节中的文本、代码和输出取自 [ARIMA](https://github.com/microsoft/ML-For-Beginners/tree/main/7-TimeSeries/2-ARIMA) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/3-SVR/assignment.md b/translations/zh-CN/7-TimeSeries/3-SVR/assignment.md new file mode 100644 index 000000000..33e487d4a --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/3-SVR/assignment.md @@ -0,0 +1,18 @@ +# 一个新的 SVR 模型 + +## 说明 [^1] + +现在您已经构建了一个 SVR 模型，请使用新的数据集构建一个新的模型（可以尝试使用[杜克大学的这些数据集](http://www2.stat.duke.edu/~mw/ts_data_sets.html)）。在笔记本中对您的工作进行注释，直观展示数据和模型，并使用适当的图表和 MAPE 测试模型的准确性。同时尝试调整不同的超参数，并使用不同的时间步长值。 + +## 评分标准 [^1] + +| 标准 | 优秀 | 合格 | 需要改进 | +| -------- | ------------------------------------------------------------ | --------------------------------------------------------- | ----------------------------------- | +| | 提交的笔记本包含构建、测试并通过可视化和准确性说明的 SVR 模型。 | 提交的笔记本未注释或存在错误。 | 提交的笔记本不完整。 | + +[^1]:本节中的内容基于[ARIMA 的作业](https://github.com/microsoft/ML-For-Beginners/tree/main/7-TimeSeries/2-ARIMA/assignment.md)。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/3-SVR/solution/notebook.ipynb b/translations/zh-CN/7-TimeSeries/3-SVR/solution/notebook.ipynb new file mode 100644 index 000000000..7b4443b5b --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/3-SVR/solution/notebook.ipynb @@ -0,0 +1,1029 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "fv9OoQsMFk5A" + }, + "source": [ + "# 使用支持向量回归器进行时间序列预测\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在本笔记中，我们将演示如何：\n", + "\n", + "- 准备二维时间序列数据以训练SVM回归模型\n", + "- 使用RBF核实现SVR\n", + "- 通过图表和MAPE评估模型\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 导入模块\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../../')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "M687KNlQFp0-" + }, + "outputs": [], + "source": [ + "import os\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "import math\n", + "\n", + "from sklearn.svm import SVR\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "from common.utils import load_data, mape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Cj-kfVdMGjWP" + }, + "source": [ + "## 准备数据\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8fywSjC6GsRz" + }, + "source": [ + "### 加载数据\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 363 + }, + "id": "aBDkEB11Fumg", + "outputId": "99cf7987-0509-4b73-8cc2-75d7da0d2740" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " load\n", + "2012-01-01 00:00:00 2698.0\n", + "2012-01-01 01:00:00 2558.0\n", + "2012-01-01 02:00:00 2444.0\n", + "2012-01-01 03:00:00 2402.0\n", + "2012-01-01 04:00:00 2403.0" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "energy = load_data('../../data')[['load']]\n", + "energy.head(5)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "O0BWP13rGnh4" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 486 + }, + "id": "hGaNPKu_Gidk", + "outputId": "7f89b326-9057-4f49-efbe-cb100ebdf76d" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IPuNor4eGwYY" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "ysvsNyONGt0Q" + }, + "outputs": [], + "source": [ + "train_start_dt = '2014-11-01 00:00:00'\n", + "test_start_dt = '2014-12-30 00:00:00'" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 548 + }, + "id": "SsfdLoPyGy9w", + "outputId": "d6d6c25b-b1f4-47e5-91d1-707e043237d7" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)][['load']].rename(columns={'load':'train'}) \\\n", + " .join(energy[test_start_dt:][['load']].rename(columns={'load':'test'}), how='outer') \\\n", + " .plot(y=['train', 'test'], figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XbFTqBw6G1Ch" + }, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "现在，您需要通过过滤和缩放数据来准备训练数据。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cYivRdQpHDj3", + "outputId": "a138f746-461c-4fd6-bfa6-0cee094c4aa1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training data shape: (1416, 1)\n", + "Test data shape: (48, 1)\n" + ] + } + ], + "source": [ + "train = energy.copy()[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']]\n", + "test = energy.copy()[energy.index >= test_start_dt][['load']]\n", + "\n", + "print('Training data shape: ', train.shape)\n", + "print('Test data shape: ', test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "将数据缩放到范围 (0, 1)。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 363 + }, + "id": "3DNntGQnZX8G", + "outputId": "210046bc-7a66-4ccd-d70d-aa4a7309949c" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " load\n", + "2014-12-30 00:00:00 0.329454\n", + "2014-12-30 01:00:00 0.290063\n", + "2014-12-30 02:00:00 0.273948\n", + "2014-12-30 03:00:00 0.268129\n", + "2014-12-30 04:00:00 0.302596" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test['load'] = scaler.transform(test)\n", + "test.head(5)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "x0n6jqxOQ41Z" + }, + "source": [ + "### 创建具有时间步的数据\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fdmxTZtOQ8xs" + }, + "source": [ + "对于我们的SVR，我们将输入数据转换为`[batch, timesteps]`的形式。因此，我们重新调整现有的`train_data`和`test_data`，使其具有一个新的维度，该维度表示时间步。在我们的示例中，我们取`timesteps = 5`。因此，模型的输入是前4个时间步的数据，输出将是第5个时间步的数据。\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "Rpju-Sc2HFm0" + }, + "outputs": [], + "source": [ + "# Converting to numpy arrays\n", + "\n", + "train_data = train.values\n", + "test_data = test.values" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# Selecting the timesteps\n", + "\n", + "timesteps=5" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "O-JrsrsVJhUQ", + "outputId": "c90dbe71-bacc-4ec4-b452-f82fe5aefaef" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1412, 5)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Converting data to 2D tensor\n", + "\n", + "train_data_timesteps=np.array([[j for j in train_data[i:i+timesteps]] for i in range(0,len(train_data)-timesteps+1)])[:,:,0]\n", + "train_data_timesteps.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "exJD8AI7KE4g", + "outputId": "ce90260c-f327-427d-80f2-77307b5a6318" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(44, 5)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Converting test data to 2D tensor\n", + "\n", + "test_data_timesteps=np.array([[j for j in test_data[i:i+timesteps]] for i in range(0,len(test_data)-timesteps+1)])[:,:,0]\n", + "test_data_timesteps.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "2u0R2sIsLuq5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1412, 4) (1412, 1)\n", + "(44, 4) (44, 1)\n" + ] + } + ], + "source": [ + "x_train, y_train = train_data_timesteps[:,:timesteps-1],train_data_timesteps[:,[timesteps-1]]\n", + "x_test, y_test = test_data_timesteps[:,:timesteps-1],test_data_timesteps[:,[timesteps-1]]\n", + "\n", + "print(x_train.shape, y_train.shape)\n", + "print(x_test.shape, y_test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8wIPOtAGLZlh" + }, + "source": [ + "## 创建SVR模型\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "id": "EhA403BEPEiD" + }, + "outputs": [], + "source": [ + "# Create model using RBF kernel\n", + "\n", + "model = SVR(kernel='rbf',gamma=0.5, C=10, epsilon = 0.05)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GS0UA3csMbqp", + "outputId": "d86b6f05-5742-4c1d-c2db-c40510bd4f0d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "SVR(C=10, cache_size=200, coef0=0.0, degree=3, epsilon=0.05, gamma=0.5,\n", + " kernel='rbf', max_iter=-1, shrinking=True, tol=0.001, verbose=False)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Fit model on training data\n", + "\n", + "model.fit(x_train, y_train[:,0])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Rz_x8S3UrlcF" + }, + "source": [ + "### 进行模型预测\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "XR0gnt3MnuYS", + "outputId": "157e40ab-9a23-4b66-a885-0d52a24b2364" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1412, 1) (44, 1)\n" + ] + } + ], + "source": [ + "# Making predictions\n", + "\n", + "y_train_pred = model.predict(x_train).reshape(-1,1)\n", + "y_test_pred = model.predict(x_test).reshape(-1,1)\n", + "\n", + "print(y_train_pred.shape, y_test_pred.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_2epncg-SGzr" + }, + "source": [ + "## 分析模型性能\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1412 44\n" + ] + } + ], + "source": [ + "# Scaling the predictions\n", + "\n", + "y_train_pred = scaler.inverse_transform(y_train_pred)\n", + "y_test_pred = scaler.inverse_transform(y_test_pred)\n", + "\n", + "print(len(y_train_pred), len(y_test_pred))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "xmm_YLXhq7gV", + "outputId": "18392f64-4029-49ac-c71a-a4e2411152a1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1412 44\n" + ] + } + ], + "source": [ + "# Scaling the original values\n", + "\n", + "y_train = scaler.inverse_transform(y_train)\n", + "y_test = scaler.inverse_transform(y_test)\n", + "\n", + "print(len(y_train), len(y_test))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "u3LBj93coHEi", + "outputId": "d4fd49e8-8c6e-4bb0-8ef9-ca0b26d725b4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1412 44\n" + ] + } + ], + "source": [ + "# Extract the timesteps for x-axis\n", + "\n", + "train_timestamps = energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)].index[timesteps-1:]\n", + "test_timestamps = energy[test_start_dt:].index[timesteps-1:]\n", + "\n", + "print(len(train_timestamps), len(test_timestamps))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(25,6))\n", + "plt.plot(train_timestamps, y_train, color = 'red', linewidth=2.0, alpha = 0.6)\n", + "plt.plot(train_timestamps, y_train_pred, color = 'blue', linewidth=0.8)\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.title(\"Training data prediction\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "LnhzcnYtXHCm", + "outputId": "f5f0d711-f18b-4788-ad21-d4470ea2c02b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAPE for training data: 1.7195710200875551 %\n" + ] + } + ], + "source": [ + "print('MAPE for training data: ', mape(y_train_pred, y_train)*100, '%')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 225 + }, + "id": "53Q02FoqQH4V", + "outputId": "53e2d59b-5075-4765-ad9e-aed56c966583" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,3))\n", + "plt.plot(test_timestamps, y_test, color = 'red', linewidth=2.0, alpha = 0.6)\n", + "plt.plot(test_timestamps, y_test_pred, color = 'blue', linewidth=0.8)\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "clOAUH-SXCJG", + "outputId": "a3aa85ff-126a-4a4a-cd9e-90b9cc465ef5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAPE for testing data: 1.2623790187854018 %\n" + ] + } + ], + "source": [ + "print('MAPE for testing data: ', mape(y_test_pred, y_test)*100, '%')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DHlKvVCId5ue" + }, + "source": [ + "## 全数据集预测\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cOFJ45vreO0N", + "outputId": "35628e33-ecf9-4966-8036-f7ea86db6f16" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor shape: (26300, 5)\n", + "X shape: (26300, 4) \n", + "Y shape: (26300, 1)\n" + ] + } + ], + "source": [ + "# Extracting load values as numpy array\n", + "data = energy.copy().values\n", + "\n", + "# Scaling\n", + "data = scaler.transform(data)\n", + "\n", + "# Transforming to 2D tensor as per model input requirement\n", + "data_timesteps=np.array([[j for j in data[i:i+timesteps]] for i in range(0,len(data)-timesteps+1)])[:,:,0]\n", + "print(\"Tensor shape: \", data_timesteps.shape)\n", + "\n", + "# Selecting inputs and outputs from data\n", + "X, Y = data_timesteps[:,:timesteps-1],data_timesteps[:,[timesteps-1]]\n", + "print(\"X shape: \", X.shape,\"\\nY shape: \", Y.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "id": "ESSAdQgwexIi" + }, + "outputs": [], + "source": [ + "# Make model predictions\n", + "Y_pred = model.predict(X).reshape(-1,1)\n", + "\n", + "# Inverse scale and reshape\n", + "Y_pred = scaler.inverse_transform(Y_pred)\n", + "Y = scaler.inverse_transform(Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 328 + }, + "id": "M_qhihN0RVVX", + "outputId": "a89cb23e-1d35-437f-9d63-8b8907e12f80" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(30,8))\n", + "plt.plot(Y, color = 'red', linewidth=2.0, alpha = 0.6)\n", + "plt.plot(Y_pred, color = 'blue', linewidth=1)\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "AcN7pMYXVGTK", + "outputId": "7e1c2161-47ce-496c-9d86-7ad9ae0df770" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAPE: 2.0572089029888656 %\n" + ] + } + ], + "source": [ + "print('MAPE: ', mape(Y_pred, Y)*100, '%')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "accelerator": "GPU", + "colab": { + "collapsed_sections": [], + "name": "Recurrent_Neural_Networks.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.1" + }, + "coopTranslator": { + "original_hash": "f8f3967282314d3995245835bdaa8418", + "translation_date": "2025-09-03T19:58:46+00:00", + "source_file": "7-TimeSeries/3-SVR/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/3-SVR/working/notebook.ipynb b/translations/zh-CN/7-TimeSeries/3-SVR/working/notebook.ipynb new file mode 100644 index 000000000..a6926e949 --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/3-SVR/working/notebook.ipynb @@ -0,0 +1,705 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "fv9OoQsMFk5A" + }, + "source": [ + "# 使用支持向量回归器进行时间序列预测\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在本笔记中，我们将演示如何：\n", + "\n", + "- 准备二维时间序列数据以训练SVM回归模型\n", + "- 使用RBF核实现SVR\n", + "- 通过图表和MAPE评估模型\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 导入模块\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../../')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "M687KNlQFp0-" + }, + "outputs": [], + "source": [ + "import os\n", + "import warnings\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "import math\n", + "\n", + "from sklearn.svm import SVR\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "from common.utils import load_data, mape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Cj-kfVdMGjWP" + }, + "source": [ + "## 准备数据\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8fywSjC6GsRz" + }, + "source": [ + "### 加载数据\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 363 + }, + "id": "aBDkEB11Fumg", + "outputId": "99cf7987-0509-4b73-8cc2-75d7da0d2740" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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load
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" + ], + "text/plain": [ + " load\n", + "2012-01-01 00:00:00 2698.0\n", + "2012-01-01 01:00:00 2558.0\n", + "2012-01-01 02:00:00 2444.0\n", + "2012-01-01 03:00:00 2402.0\n", + "2012-01-01 04:00:00 2403.0" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "energy = load_data('../../data')[['load']]\n", + "energy.head(5)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "O0BWP13rGnh4" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 486 + }, + "id": "hGaNPKu_Gidk", + "outputId": "7f89b326-9057-4f49-efbe-cb100ebdf76d" + }, + "outputs": [], + "source": [ + "energy.plot(y='load', subplots=True, figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IPuNor4eGwYY" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ysvsNyONGt0Q" + }, + "outputs": [], + "source": [ + "train_start_dt = '2014-11-01 00:00:00'\n", + "test_start_dt = '2014-12-30 00:00:00'" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 548 + }, + "id": "SsfdLoPyGy9w", + "outputId": "d6d6c25b-b1f4-47e5-91d1-707e043237d7" + }, + "outputs": [], + "source": [ + "energy[(energy.index < test_start_dt) & (energy.index >= train_start_dt)][['load']].rename(columns={'load':'train'}) \\\n", + " .join(energy[test_start_dt:][['load']].rename(columns={'load':'test'}), how='outer') \\\n", + " .plot(y=['train', 'test'], figsize=(15, 8), fontsize=12)\n", + "plt.xlabel('timestamp', fontsize=12)\n", + "plt.ylabel('load', fontsize=12)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XbFTqBw6G1Ch" + }, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "现在，您需要通过过滤和缩放数据来准备训练数据。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cYivRdQpHDj3", + "outputId": "a138f746-461c-4fd6-bfa6-0cee094c4aa1" + }, + "outputs": [], + "source": [ + "train = energy.copy()[(energy.index >= train_start_dt) & (energy.index < test_start_dt)][['load']]\n", + "test = energy.copy()[energy.index >= test_start_dt][['load']]\n", + "\n", + "print('Training data shape: ', train.shape)\n", + "print('Test data shape: ', test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "将数据缩放到范围 (0, 1)。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 363 + }, + "id": "3DNntGQnZX8G", + "outputId": "210046bc-7a66-4ccd-d70d-aa4a7309949c" + }, + "outputs": [], + "source": [ + "scaler = MinMaxScaler()\n", + "train['load'] = scaler.fit_transform(train)\n", + "train.head(5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 206 + }, + "id": "26Yht-rzZexe", + "outputId": "20326077-a38a-4e78-cc5b-6fd7af95d301" + }, + "outputs": [], + "source": [ + "test['load'] = scaler.transform(test)\n", + "test.head(5)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "x0n6jqxOQ41Z" + }, + "source": [ + "### 创建具有时间步的数据\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fdmxTZtOQ8xs" + }, + "source": [ + "对于我们的SVR，我们将输入数据转换为`[batch, timesteps]`的形式。因此，我们重新调整现有的`train_data`和`test_data`，使其具有一个新的维度，该维度表示时间步。在我们的示例中，我们取`timesteps = 5`。因此，模型的输入是前4个时间步的数据，输出将是第5个时间步的数据。\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Rpju-Sc2HFm0" + }, + "outputs": [], + "source": [ + "# Converting to numpy arrays\n", + "\n", + "train_data = train.values\n", + "test_data = test.values" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Selecting the timesteps\n", + "\n", + "timesteps=None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "O-JrsrsVJhUQ", + "outputId": "c90dbe71-bacc-4ec4-b452-f82fe5aefaef" + }, + "outputs": [], + "source": [ + "# Converting data to 2D tensor\n", + "\n", + "train_data_timesteps=None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "exJD8AI7KE4g", + "outputId": "ce90260c-f327-427d-80f2-77307b5a6318" + }, + "outputs": [], + "source": [ + "# Converting test data to 2D tensor\n", + "\n", + "test_data_timesteps=None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "2u0R2sIsLuq5" + }, + "outputs": [], + "source": [ + "x_train, y_train = None\n", + "x_test, y_test = None\n", + "\n", + "print(x_train.shape, y_train.shape)\n", + "print(x_test.shape, y_test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8wIPOtAGLZlh" + }, + "source": [ + "## 创建SVR模型\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "EhA403BEPEiD" + }, + "outputs": [], + "source": [ + "# Create model using RBF kernel\n", + "\n", + "model = None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GS0UA3csMbqp", + "outputId": "d86b6f05-5742-4c1d-c2db-c40510bd4f0d" + }, + "outputs": [], + "source": [ + "# Fit model on training data" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Rz_x8S3UrlcF" + }, + "source": [ + "### 进行模型预测\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "XR0gnt3MnuYS", + "outputId": "157e40ab-9a23-4b66-a885-0d52a24b2364" + }, + "outputs": [], + "source": [ + "# Making predictions\n", + "\n", + "y_train_pred = None\n", + "y_test_pred = None" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_2epncg-SGzr" + }, + "source": [ + "## 分析模型性能\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Scaling the predictions\n", + "\n", + "y_train_pred = scaler.inverse_transform(y_train_pred)\n", + "y_test_pred = scaler.inverse_transform(y_test_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "xmm_YLXhq7gV", + "outputId": "18392f64-4029-49ac-c71a-a4e2411152a1" + }, + "outputs": [], + "source": [ + "# Scaling the original values\n", + "\n", + "y_train = scaler.inverse_transform(y_train)\n", + "y_test = scaler.inverse_transform(y_test)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "u3LBj93coHEi", + "outputId": "d4fd49e8-8c6e-4bb0-8ef9-ca0b26d725b4" + }, + "outputs": [], + "source": [ + "# Extract the timesteps for x-axis\n", + "\n", + "train_timestamps = None\n", + "test_timestamps = None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure(figsize=(25,6))\n", + "# plot original output\n", + "# plot predicted output\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.title(\"Training data prediction\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "LnhzcnYtXHCm", + "outputId": "f5f0d711-f18b-4788-ad21-d4470ea2c02b" + }, + "outputs": [], + "source": [ + "print('MAPE for training data: ', mape(y_train_pred, y_train)*100, '%')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 225 + }, + "id": "53Q02FoqQH4V", + "outputId": "53e2d59b-5075-4765-ad9e-aed56c966583" + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(10,3))\n", + "# plot original output\n", + "# plot predicted output\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "clOAUH-SXCJG", + "outputId": "a3aa85ff-126a-4a4a-cd9e-90b9cc465ef5" + }, + "outputs": [], + "source": [ + "print('MAPE for testing data: ', mape(y_test_pred, y_test)*100, '%')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DHlKvVCId5ue" + }, + "source": [ + "## 全数据集预测\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cOFJ45vreO0N", + "outputId": "35628e33-ecf9-4966-8036-f7ea86db6f16" + }, + "outputs": [], + "source": [ + "# Extracting load values as numpy array\n", + "data = None\n", + "\n", + "# Scaling\n", + "data = None\n", + "\n", + "# Transforming to 2D tensor as per model input requirement\n", + "data_timesteps=None\n", + "\n", + "# Selecting inputs and outputs from data\n", + "X, Y = None, None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ESSAdQgwexIi" + }, + "outputs": [], + "source": [ + "# Make model predictions\n", + "\n", + "# Inverse scale and reshape\n", + "Y_pred = None\n", + "Y = None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 328 + }, + "id": "M_qhihN0RVVX", + "outputId": "a89cb23e-1d35-437f-9d63-8b8907e12f80" + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(30,8))\n", + "# plot original output\n", + "# plot predicted output\n", + "plt.legend(['Actual','Predicted'])\n", + "plt.xlabel('Timestamp')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "AcN7pMYXVGTK", + "outputId": "7e1c2161-47ce-496c-9d86-7ad9ae0df770" + }, + "outputs": [], + "source": [ + "print('MAPE: ', mape(Y_pred, Y)*100, '%')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ], + "metadata": { + "accelerator": "GPU", + "colab": { + "collapsed_sections": [], + "name": "Recurrent_Neural_Networks.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.1" + }, + "coopTranslator": { + "original_hash": "e86ce102239a14c44585623b9b924a74", + "translation_date": "2025-09-03T20:00:54+00:00", + "source_file": "7-TimeSeries/3-SVR/working/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/translations/zh-CN/7-TimeSeries/README.md b/translations/zh-CN/7-TimeSeries/README.md new file mode 100644 index 000000000..f1d427adb --- /dev/null +++ b/translations/zh-CN/7-TimeSeries/README.md @@ -0,0 +1,28 @@ +# 时间序列预测简介 + +什么是时间序列预测？它是通过分析过去的趋势来预测未来事件。 + +## 区域主题：全球电力使用 ✨ + +在这两节课中，你将了解时间序列预测，这是一种相对较少被人熟知但在工业和商业应用等领域极具价值的机器学习领域。虽然神经网络可以用来增强这些模型的效用，但我们将从经典机器学习的角度研究它们，因为这些模型可以根据过去的数据预测未来的表现。 + +我们的区域重点是全球电力使用，这是一个有趣的数据集，可以用来学习如何根据过去的负载模式预测未来的电力使用情况。你会发现这种预测在商业环境中非常有帮助。 + +![电网](../../../translated_images/zh-CN/electric-grid.0c21d5214db09ffa.webp) + +照片由 [Peddi Sai hrithik](https://unsplash.com/@shutter_log?utm_source=unsplash&utm_medium=referral&utm_content=creditCopyText) 在拉贾斯坦邦的道路上拍摄的电力塔，发布于 [Unsplash](https://unsplash.com/s/photos/electric-india?utm_source=unsplash&utm_medium=referral&utm_content=creditCopyText) + +## 课程 + +1. [时间序列预测简介](1-Introduction/README.md) +2. [构建 ARIMA 时间序列模型](2-ARIMA/README.md) +3. [构建支持向量回归器进行时间序列预测](3-SVR/README.md) + +## 致谢 + +“时间序列预测简介”由 [Francesca Lazzeri](https://twitter.com/frlazzeri) 和 [Jen Looper](https://twitter.com/jenlooper) ⚡️ 编写。相关笔记本最初出现在 [Azure "Deep Learning For Time Series" 仓库](https://github.com/Azure/DeepLearningForTimeSeriesForecasting)，由 Francesca Lazzeri 编写。SVR 课程由 [Anirban Mukherjee](https://github.com/AnirbanMukherjeeXD) 编写。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/README.md b/translations/zh-CN/8-Reinforcement/1-QLearning/README.md new file mode 100644 index 000000000..827398ac5 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/README.md @@ -0,0 +1,247 @@ +# 强化学习与Q学习简介 + +![机器学习中强化学习的总结图](../../../../sketchnotes/ml-reinforcement.png) +> Sketchnote by [Tomomi Imura](https://www.twitter.com/girlie_mac) + +强化学习涉及三个重要概念：代理、状态和每个状态的一组动作。通过在指定状态下执行一个动作，代理会获得奖励。想象一下电脑游戏《超级马里奥》。你是马里奥，处于一个游戏关卡中，站在悬崖边上。你的上方有一个金币。你作为马里奥，处于游戏关卡中的特定位置……这就是你的状态。向右移动一步（一个动作）会让你掉下悬崖，这会给你一个较低的数值分数。然而，按下跳跃按钮会让你得分并保持存活。这是一个积极的结果，应该奖励你一个正数分数。 + +通过使用强化学习和模拟器（游戏），你可以学习如何玩游戏以最大化奖励，即保持存活并尽可能多地得分。 + +[![强化学习简介](https://img.youtube.com/vi/lDq_en8RNOo/0.jpg)](https://www.youtube.com/watch?v=lDq_en8RNOo) + +> 🎥 点击上方图片观看 Dmitry 讨论强化学习 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 前提条件与设置 + +在本课中，我们将用 Python 实验一些代码。你应该能够在你的电脑或云端运行本课的 Jupyter Notebook 代码。 + +你可以打开[课程笔记本](https://github.com/microsoft/ML-For-Beginners/blob/main/8-Reinforcement/1-QLearning/notebook.ipynb)，并按照课程内容进行学习。 + +> **注意：** 如果你从云端打开代码，还需要获取 [`rlboard.py`](https://github.com/microsoft/ML-For-Beginners/blob/main/8-Reinforcement/1-QLearning/rlboard.py) 文件，该文件在笔记本代码中使用。将其添加到与笔记本相同的目录中。 + +## 简介 + +在本课中，我们将探索**《彼得与狼》**的世界，这个故事灵感来源于俄罗斯作曲家[谢尔盖·普罗科菲耶夫](https://en.wikipedia.org/wiki/Sergei_Prokofiev)创作的音乐童话。我们将使用**强化学习**让彼得探索他的环境，收集美味的苹果并避免遇到狼。 + +**强化学习**（RL）是一种学习技术，它通过运行许多实验让我们学习代理在某个**环境**中的最佳行为。代理在这个环境中应该有某种**目标**，由**奖励函数**定义。 + +## 环境 + +为了简化，我们将彼得的世界设定为一个大小为 `width` x `height` 的方形棋盘，如下所示： + +![彼得的环境](../../../../8-Reinforcement/1-QLearning/images/environment.png) + +棋盘中的每个单元格可以是： + +* **地面**，彼得和其他生物可以在上面行走。 +* **水域**，显然无法在上面行走。 +* **树**或**草地**，可以休息的地方。 +* **苹果**，彼得很高兴找到的食物。 +* **狼**，危险的生物，应避免接触。 + +有一个单独的 Python 模块 [`rlboard.py`](https://github.com/microsoft/ML-For-Beginners/blob/main/8-Reinforcement/1-QLearning/rlboard.py)，包含了与这个环境交互的代码。由于这些代码对理解我们的概念并不重要，我们将导入模块并使用它创建示例棋盘（代码块 1）： + +```python +from rlboard import * + +width, height = 8,8 +m = Board(width,height) +m.randomize(seed=13) +m.plot() +``` + +这段代码应该打印出类似上图的环境。 + +## 动作与策略 + +在我们的示例中，彼得的目标是找到苹果，同时避免狼和其他障碍物。为此，他可以在棋盘上四处走动，直到找到苹果。 + +因此，在任何位置，他可以选择以下动作之一：向上、向下、向左和向右。 + +我们将这些动作定义为一个字典，并将它们映射到对应的坐标变化。例如，向右移动（`R`）对应于坐标对 `(1,0)`。（代码块 2）： + +```python +actions = { "U" : (0,-1), "D" : (0,1), "L" : (-1,0), "R" : (1,0) } +action_idx = { a : i for i,a in enumerate(actions.keys()) } +``` + +总结一下，这个场景的策略和目标如下： + +- **策略**：我们的代理（彼得）的策略由所谓的**策略函数**定义。策略函数在任何给定状态下返回动作。在我们的例子中，问题的状态由棋盘表示，包括玩家的当前位置。 + +- **目标**：强化学习的目标是最终学习一个好的策略，使我们能够高效地解决问题。然而，作为基线，我们可以考虑最简单的策略，称为**随机游走**。 + +## 随机游走 + +首先，我们通过实现随机游走策略来解决问题。在随机游走中，我们会随机选择允许的动作，直到到达苹果（代码块 3）。 + +1. 使用以下代码实现随机游走： + + ```python + def random_policy(m): + return random.choice(list(actions)) + + def walk(m,policy,start_position=None): + n = 0 # number of steps + # set initial position + if start_position: + m.human = start_position + else: + m.random_start() + while True: + if m.at() == Board.Cell.apple: + return n # success! + if m.at() in [Board.Cell.wolf, Board.Cell.water]: + return -1 # eaten by wolf or drowned + while True: + a = actions[policy(m)] + new_pos = m.move_pos(m.human,a) + if m.is_valid(new_pos) and m.at(new_pos)!=Board.Cell.water: + m.move(a) # do the actual move + break + n+=1 + + walk(m,random_policy) + ``` + + 调用 `walk` 应返回对应路径的长度，该长度可能因运行而异。 + +1. 多次运行游走实验（例如，100 次），并打印结果统计数据（代码块 4）： + + ```python + def print_statistics(policy): + s,w,n = 0,0,0 + for _ in range(100): + z = walk(m,policy) + if z<0: + w+=1 + else: + s += z + n += 1 + print(f"Average path length = {s/n}, eaten by wolf: {w} times") + + print_statistics(random_policy) + ``` + + 注意，路径的平均长度约为 30-40 步，这相当多，考虑到到最近苹果的平均距离约为 5-6 步。 + + 你还可以看到彼得在随机游走中的移动情况： + + ![彼得的随机游走](../../../../8-Reinforcement/1-QLearning/images/random_walk.gif) + +## 奖励函数 + +为了让我们的策略更智能，我们需要了解哪些动作比其他动作“更好”。为此，我们需要定义目标。 + +目标可以通过**奖励函数**定义，该函数为每个状态返回一些分数值。分数越高，奖励函数越好。（代码块 5） + +```python +move_reward = -0.1 +goal_reward = 10 +end_reward = -10 + +def reward(m,pos=None): + pos = pos or m.human + if not m.is_valid(pos): + return end_reward + x = m.at(pos) + if x==Board.Cell.water or x == Board.Cell.wolf: + return end_reward + if x==Board.Cell.apple: + return goal_reward + return move_reward +``` + +奖励函数的一个有趣之处在于，大多数情况下，*我们只有在游戏结束时才会获得实质性奖励*。这意味着我们的算法应该以某种方式记住导致最终正奖励的“好”步骤，并增加它们的重要性。同样，所有导致不良结果的动作应该被抑制。 + +## Q学习 + +我们将讨论的算法称为**Q学习**。在这个算法中，策略由一个称为**Q表**的函数（或数据结构）定义。它记录了在给定状态下每个动作的“好坏程度”。 + +之所以称为 Q表，是因为将其表示为表格或多维数组通常很方便。由于我们的棋盘维度为 `width` x `height`，我们可以使用形状为 `width` x `height` x `len(actions)` 的 numpy 数组来表示 Q表：（代码块 6） + +```python +Q = np.ones((width,height,len(actions)),dtype=np.float)*1.0/len(actions) +``` + +注意，我们将 Q表的所有值初始化为相等值，在我们的例子中为 0.25。这对应于“随机游走”策略，因为每个状态中的所有动作都同样好。我们可以将 Q表传递给 `plot` 函数，以便在棋盘上可视化表格：`m.plot(Q)`。 + +![彼得的环境](../../../../8-Reinforcement/1-QLearning/images/env_init.png) + +每个单元格的中心有一个“箭头”，指示移动的优选方向。由于所有方向都相等，显示的是一个点。 + +现在我们需要运行模拟，探索环境，并学习 Q表值的更好分布，这将使我们更快找到苹果的路径。 + +## Q学习的核心：贝尔曼方程 + +一旦我们开始移动，每个动作都会有相应的奖励，即我们理论上可以根据最高的即时奖励选择下一个动作。然而，在大多数状态下，动作不会立即实现我们到达苹果的目标，因此我们无法立即决定哪个方向更好。 + +> 请记住，重要的不是即时结果，而是最终结果，即我们将在模拟结束时获得的结果。 + +为了考虑这种延迟奖励，我们需要使用**[动态规划](https://en.wikipedia.org/wiki/Dynamic_programming)**的原理，这使我们能够递归地思考问题。 + +假设我们现在处于状态 *s*，并希望移动到下一个状态 *s'*。通过这样做，我们将获得即时奖励 *r(s,a)*，由奖励函数定义，加上某些未来奖励。如果我们假设我们的 Q表正确反映了每个动作的“吸引力”，那么在状态 *s'* 我们将选择一个动作 *a'*，其对应的值为 *Q(s',a')* 的最大值。因此，我们在状态 *s* 能够获得的最佳未来奖励将定义为 `max` + +## 检查策略 + +由于 Q-Table 列出了每个状态下每个动作的“吸引力”，因此使用它来定义我们世界中的高效导航非常简单。在最简单的情况下，我们可以选择对应于最高 Q-Table 值的动作：（代码块 9） + +```python +def qpolicy_strict(m): + x,y = m.human + v = probs(Q[x,y]) + a = list(actions)[np.argmax(v)] + return a + +walk(m,qpolicy_strict) +``` + +> 如果多次尝试上面的代码，你可能会注意到有时它会“卡住”，需要按下笔记本中的 STOP 按钮来中断。这是因为可能存在两种状态在最佳 Q 值方面“指向”彼此的情况，这样代理就会在这些状态之间无限移动。 + +## 🚀挑战 + +> **任务 1：** 修改 `walk` 函数以限制路径的最大长度为一定步数（例如 100），并观察上面的代码是否会不时返回该值。 + +> **任务 2：** 修改 `walk` 函数，使其不返回到之前已经到过的地方。这将防止 `walk` 进入循环，但代理仍可能最终被“困”在无法逃脱的位置。 + +## 导航 + +更好的导航策略是我们在训练期间使用的策略，它结合了利用和探索。在此策略中，我们将以一定的概率选择每个动作，该概率与 Q-Table 中的值成比例。此策略可能仍会导致代理返回到已经探索过的位置，但正如你从下面的代码中看到的，它会导致到达目标位置的平均路径非常短（记住 `print_statistics` 会运行 100 次模拟）：（代码块 10） + +```python +def qpolicy(m): + x,y = m.human + v = probs(Q[x,y]) + a = random.choices(list(actions),weights=v)[0] + return a + +print_statistics(qpolicy) +``` + +运行此代码后，你应该会得到比之前小得多的平均路径长度，范围在 3-6 之间。 + +## 调查学习过程 + +正如我们提到的，学习过程是在探索和利用已获得的关于问题空间结构的知识之间的平衡。我们已经看到学习的结果（帮助代理找到到达目标的短路径的能力）有所改善，但观察平均路径长度在学习过程中的变化也很有趣： + +学习总结如下： + +- **平均路径长度增加**。我们看到的是，起初平均路径长度增加。这可能是因为当我们对环境一无所知时，很容易陷入糟糕的状态，比如水或狼。随着我们学习更多并开始使用这些知识，我们可以更长时间地探索环境，但仍然不太清楚苹果的位置。 + +- **路径长度随着学习增加而减少**。一旦我们学到足够多，代理更容易实现目标，路径长度开始减少。然而，我们仍然开放探索，因此经常偏离最佳路径，探索新的选项，使路径比最优路径更长。 + +- **长度突然增加**。我们在图表上还观察到某些时候长度突然增加。这表明过程的随机性，并且我们可能会在某些时候通过用新值覆盖 Q-Table 系数来“破坏”它们。这应该通过降低学习率来尽量减少（例如，在训练结束时，我们仅通过小值调整 Q-Table 值）。 + +总体而言，重要的是要记住，学习过程的成功和质量在很大程度上取决于参数，例如学习率、学习率衰减和折扣因子。这些通常被称为 **超参数**，以区别于 **参数**，后者是在训练期间优化的（例如 Q-Table 系数）。寻找最佳超参数值的过程称为 **超参数优化**，它值得单独讨论。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 作业 +[一个更真实的世界](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/assignment.md b/translations/zh-CN/8-Reinforcement/1-QLearning/assignment.md new file mode 100644 index 000000000..328fead57 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/assignment.md @@ -0,0 +1,32 @@ +# 一个更真实的世界 + +在我们的场景中，Peter几乎可以不感到疲惫或饥饿地四处移动。在一个更真实的世界中，他需要时不时地坐下来休息，还需要进食。让我们通过实现以下规则，使我们的世界更加真实： + +1. 每次从一个地方移动到另一个地方，Peter会失去**能量**并增加一些**疲劳**。 +2. Peter可以通过吃苹果来获得更多能量。 +3. Peter可以通过在树下或草地上休息来消除疲劳（即走到棋盘上有树或草的地方——绿色区域）。 +4. Peter需要找到并杀死狼。 +5. 为了杀死狼，Peter需要达到一定的能量和疲劳水平，否则他会输掉战斗。 + +## 指导 + +使用原始的 [notebook.ipynb](notebook.ipynb) 笔记本作为解决方案的起点。 + +根据游戏规则修改上述奖励函数，运行强化学习算法以学习赢得游戏的最佳策略，并将随机游走的结果与您的算法进行比较，比较赢得和输掉的游戏数量。 + +> **Note**: 在您的新世界中，状态更加复杂，除了人的位置，还包括疲劳和能量水平。您可以选择将状态表示为一个元组 (Board,energy,fatigue)，或者为状态定义一个类（您可能还希望从 `Board` 派生），甚至修改原始的 `Board` 类（位于 [rlboard.py](../../../../8-Reinforcement/1-QLearning/rlboard.py) 中）。 + +在您的解决方案中，请保留负责随机游走策略的代码，并在最后将您的算法结果与随机游走进行比较。 + +> **Note**: 您可能需要调整超参数以使其正常工作，尤其是训练的轮数。由于游戏的成功（与狼战斗）是一个罕见事件，您可以预期更长的训练时间。 + +## 评分标准 + +| 标准 | 卓越表现 | 合格表现 | 需要改进 | +| -------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------ | +| | 提供了一个笔记本，其中定义了新的世界规则、Q学习算法以及一些文字说明。Q学习能够显著改善与随机游走相比的结果。 | 提供了笔记本，Q学习已实现并改善了与随机游走相比的结果，但改善不显著；或者笔记本文档较差，代码结构不够清晰。 | 对重新定义世界规则做了一些尝试，但Q学习算法未能正常工作，或者奖励函数未完全定义。 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/notebook.ipynb b/translations/zh-CN/8-Reinforcement/1-QLearning/notebook.ipynb new file mode 100644 index 000000000..44f884efb --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/notebook.ipynb @@ -0,0 +1,411 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "17e5a668646eabf5aabd0e9bfcf17876", + "translation_date": "2025-09-03T20:45:02+00:00", + "source_file": "8-Reinforcement/1-QLearning/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 彼得与狼：强化学习入门\n", + "\n", + "在本教程中，我们将学习如何将强化学习应用于路径寻找问题。这个场景的灵感来源于俄罗斯作曲家[谢尔盖·普罗科菲耶夫](https://en.wikipedia.org/wiki/Sergei_Prokofiev)创作的音乐童话故事[《彼得与狼》](https://en.wikipedia.org/wiki/Peter_and_the_Wolf)。故事讲述了年轻的先锋彼得勇敢地走出家门，来到森林空地追逐一只狼。我们将训练机器学习算法，帮助彼得探索周围区域并构建一个最优导航地图。\n", + "\n", + "首先，让我们导入一组有用的库：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random\n", + "import math" + ] + }, + { + "source": [ + "## 强化学习概述\n", + "\n", + "**强化学习** (RL) 是一种学习技术，通过运行大量实验，让我们能够学习某个**智能体**在某个**环境**中的最优行为。在这个环境中，智能体应该有一个明确的**目标**，由**奖励函数**定义。\n", + "\n", + "## 环境\n", + "\n", + "为了简单起见，我们将彼得的世界设定为一个大小为 `width` x `height` 的方形棋盘。棋盘中的每个格子可以是以下几种类型：\n", + "* **地面**，彼得和其他生物可以在上面行走\n", + "* **水域**，显然无法在上面行走\n", + "* **树**或**草地** - 可以休息的地方\n", + "* **苹果**，代表彼得很乐意找到的食物以填饱肚子\n", + "* **狼**，危险的生物，应尽量避开\n", + "\n", + "为了与环境交互，我们将定义一个名为 `Board` 的类。为了避免让这个笔记本过于复杂，我们已将所有与棋盘相关的代码移至单独的 `rlboard` 模块中，现在我们将导入该模块。你可以查看该模块以了解实现细节的内部工作原理。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "现在让我们创建一个随机棋盘，看看它的样子：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 1" + ] + }, + { + "source": [ + "## 行动和策略\n", + "\n", + "在我们的例子中，Peter 的目标是找到一个苹果，同时避开狼和其他障碍物。将这些行动定义为一个字典，并将其映射到对应的坐标变化对。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 2" + ] + }, + { + "source": [ + "我们代理（Peter）的策略由一个所谓的**策略**定义。让我们来看看最简单的策略，称为**随机游走**。\n", + "\n", + "## 随机游走\n", + "\n", + "首先，让我们通过实现随机游走策略来解决我们的问题。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "# Let's run a random walk experiment several times and see the average number of steps taken: code block 3" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 4" + ] + }, + { + "source": [ + "## 奖励函数\n", + "\n", + "为了让我们的策略更加智能，我们需要了解哪些动作比其他动作“更好”。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "#code block 5" + ] + }, + { + "source": [ + "## Q-Learning\n", + "\n", + "构建一个 Q-表，或者说是一个多维数组。由于我们的棋盘尺寸为 `width` x `height`，我们可以通过一个形状为 `width` x `height` x `len(actions)` 的 numpy 数组来表示 Q-表：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 6" + ] + }, + { + "source": [ + "将 Q-表传递给 `plot` 函数，以便在棋盘上可视化该表：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "error", + "ename": "NameError", + "evalue": "name 'm' is not defined", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mQ\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'm' is not defined" + ] + } + ], + "source": [ + "m.plot(Q)" + ] + }, + { + "source": [ + "## Q-Learning 的核心：贝尔曼方程与学习算法\n", + "\n", + "编写我们的学习算法伪代码：\n", + "\n", + "* 初始化 Q-表 Q，使所有状态和动作的值相等\n", + "* 设置学习率 $\\alpha\\leftarrow 1$\n", + "* 多次重复模拟\n", + " 1. 从随机位置开始\n", + " 2. 重复以下步骤\n", + " 1. 在状态 $s$ 下选择一个动作 $a$\n", + " 2. 执行动作，移动到新状态 $s'$\n", + " 3. 如果遇到游戏结束条件，或者总奖励过小 - 退出模拟 \n", + " 4. 计算新状态下的奖励 $r$\n", + " 5. 根据贝尔曼方程更新 Q-函数：$Q(s,a)\\leftarrow (1-\\alpha)Q(s,a)+\\alpha(r+\\gamma\\max_{a'}Q(s',a'))$\n", + " 6. $s\\leftarrow s'$\n", + " 7. 更新总奖励并减少 $\\alpha$。\n", + "\n", + "## 利用与探索\n", + "\n", + "最佳方法是在探索与利用之间找到平衡。随着我们对环境的了解加深，我们更倾向于遵循最优路径，但偶尔也需要选择未探索的路径。\n", + "\n", + "## Python 实现\n", + "\n", + "现在我们准备实现学习算法。在此之前，我们还需要一个函数，将 Q-表中的任意数值转换为对应动作的概率向量：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 7" + ] + }, + { + "source": [ + "我们在原始向量中添加少量的 `eps`，以避免在初始情况下所有向量分量相同时出现除以0的情况。\n", + "\n", + "我们将运行实际的学习算法进行5000次实验，也称为**训练周期**：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "" + ] + } + ], + "source": [ + "\n", + "from IPython.display import clear_output\n", + "\n", + "lpath = []\n", + "\n", + "# code block 8" + ] + }, + { + "source": [ + "在执行此算法后，Q-表应更新为定义每个步骤中不同动作吸引力的值。在此处可视化该表：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "m.plot(Q)" + ] + }, + { + "source": [ + "## 检查策略\n", + "\n", + "由于 Q-Table 列出了每个状态下每个动作的“吸引力”，我们可以很容易地利用它来定义在我们的世界中高效的导航。在最简单的情况下，我们只需选择对应于最高 Q-Table 值的动作：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "# code block 9" + ] + }, + { + "source": [ + "如果你多次尝试运行上述代码，你可能会注意到有时它会“卡住”，需要按下笔记本中的停止按钮来中断运行。\n", + "\n", + "> **任务 1：** 修改 `walk` 函数，限制路径的最大长度为一定步数（例如，100步），并观察上述代码是否会不时返回这个值。\n", + "\n", + "> **任务 2：** 修改 `walk` 函数，使其不再回到之前已经访问过的地方。这将防止 `walk` 进入循环，但代理仍可能被“困”在一个无法逃脱的位置。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Average path length = 5.31, eaten by wolf: 0 times\n" + ] + } + ], + "source": [ + "\n", + "# code block 10" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 57 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(lpath)" + ] + }, + { + "source": [ + "## 练习\n", + "## 一个更真实的《彼得与狼》的世界\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/solution/Julia/README.md b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/Julia/README.md new file mode 100644 index 000000000..f30fc4eeb --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/solution/R/README.md b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/R/README.md new file mode 100644 index 000000000..e939b3c66 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/solution/assignment-solution.ipynb b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/assignment-solution.ipynb new file mode 100644 index 000000000..a69d0a05a --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/assignment-solution.ipynb @@ -0,0 +1,478 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "eadbd20d2a075efb602615ad90b1e97a", + "translation_date": "2025-09-03T20:52:18+00:00", + "source_file": "8-Reinforcement/1-QLearning/solution/assignment-solution.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 彼得与狼：真实环境\n", + "\n", + "在我们的场景中，彼得几乎可以不感到疲惫或饥饿地四处移动。在更真实的世界中，他需要时不时地坐下来休息，还需要进食。让我们通过实施以下规则使我们的世界更加真实：\n", + "\n", + "1. 从一个地方移动到另一个地方时，彼得会失去**能量**并增加一些**疲劳**。\n", + "2. 彼得可以通过吃苹果来获得更多能量。\n", + "3. 彼得可以通过在树下或草地上休息来消除疲劳（即走到棋盘上有树或草的地方——绿色区域）。\n", + "4. 彼得需要找到并杀死狼。\n", + "5. 为了杀死狼，彼得需要达到一定的能量和疲劳水平，否则他会在战斗中失败。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random\n", + "import math\n", + "from rlboard import *" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "width, height = 8,8\n", + "m = Board(width,height)\n", + "m.randomize(seed=13)\n", + "m.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "actions = { \"U\" : (0,-1), \"D\" : (0,1), \"L\" : (-1,0), \"R\" : (1,0) }\n", + "action_idx = { a : i for i,a in enumerate(actions.keys()) }" + ] + }, + { + "source": [ + "## 定义状态\n", + "\n", + "在我们的新游戏规则中，我们需要在每个棋盘状态下跟踪能量和疲劳。因此，我们将创建一个对象 `state`，它将包含当前问题状态所需的所有信息，包括棋盘状态、当前的能量和疲劳水平，以及在终端状态下是否能够击败狼：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "class state:\n", + " def __init__(self,board,energy=10,fatigue=0,init=True):\n", + " self.board = board\n", + " self.energy = energy\n", + " self.fatigue = fatigue\n", + " self.dead = False\n", + " if init:\n", + " self.board.random_start()\n", + " self.update()\n", + "\n", + " def at(self):\n", + " return self.board.at()\n", + "\n", + " def update(self):\n", + " if self.at() == Board.Cell.water:\n", + " self.dead = True\n", + " return\n", + " if self.at() == Board.Cell.tree:\n", + " self.fatigue = 0\n", + " if self.at() == Board.Cell.apple:\n", + " self.energy = 10\n", + "\n", + " def move(self,a):\n", + " self.board.move(a)\n", + " self.energy -= 1\n", + " self.fatigue += 1\n", + " self.update()\n", + "\n", + " def is_winning(self):\n", + " return self.energy > self.fatigue" + ] + }, + { + "source": [ + "让我们尝试使用随机游走来解决这个问题，看看是否成功：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "def random_policy(state):\n", + " return random.choice(list(actions))\n", + "\n", + "def walk(board,policy):\n", + " n = 0 # number of steps\n", + " s = state(board)\n", + " while True:\n", + " if s.at() == Board.Cell.wolf:\n", + " if s.is_winning():\n", + " return n # success!\n", + " else:\n", + " return -n # failure!\n", + " if s.at() == Board.Cell.water:\n", + " return 0 # died\n", + " a = actions[policy(m)]\n", + " s.move(a)\n", + " n+=1\n", + "\n", + "walk(m,random_policy)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Killed by wolf = 5, won: 1 times, drown: 94 times\n" + ] + } + ], + "source": [ + "def print_statistics(policy):\n", + " s,w,n = 0,0,0\n", + " for _ in range(100):\n", + " z = walk(m,policy)\n", + " if z<0:\n", + " w+=1\n", + " elif z==0:\n", + " n+=1\n", + " else:\n", + " s+=1\n", + " print(f\"Killed by wolf = {w}, won: {s} times, drown: {n} times\")\n", + "\n", + "print_statistics(random_policy)" + ] + }, + { + "source": [ + "## 奖励函数\n", + "\n", + "### 什么是奖励函数？\n", + "\n", + "奖励函数是强化学习中用于指导代理行为的核心组件。它定义了代理在特定状态或执行某些动作时所获得的奖励。通过奖励函数，代理能够学习如何在环境中采取最佳行动以实现目标。\n", + "\n", + "### 设计奖励函数的原则\n", + "\n", + "设计一个有效的奖励函数需要遵循以下原则：\n", + "\n", + "1. **明确目标** \n", + " 奖励函数应该清晰地反映任务目标。例如，如果目标是让机器人避开障碍物并到达目标位置，那么奖励函数应该鼓励机器人靠近目标，同时惩罚碰撞行为。\n", + "\n", + "2. **避免稀疏奖励** \n", + " 稀疏奖励可能导致学习过程缓慢。尝试提供更频繁的反馈，以帮助代理更快地理解哪些行为是有益的。\n", + "\n", + "3. **平衡短期与长期奖励** \n", + " 奖励函数应该鼓励代理在短期内采取有益的行动，同时考虑长期目标。例如，避免设计只关注即时奖励而忽略长期效果的函数。\n", + "\n", + "4. **防止意外行为** \n", + " 确保奖励函数不会鼓励代理采取意外或不合理的行为。例如，如果奖励函数仅根据速度奖励代理，可能会导致代理忽略安全性。\n", + "\n", + "### 示例奖励函数\n", + "\n", + "以下是一个简单的奖励函数示例：\n", + "\n", + "```python\n", + "def reward_function(state, action):\n", + " if state == \"goal_reached\":\n", + " return 100 # 到达目标位置的高奖励\n", + " elif state == \"collision\":\n", + " return -50 # 碰撞的惩罚\n", + " else:\n", + " return -1 # 每一步的轻微惩罚以鼓励快速完成任务\n", + "```\n", + "\n", + "### 常见问题\n", + "\n", + "#### 奖励函数过于复杂怎么办？\n", + "\n", + "奖励函数不需要过于复杂。一个简单且清晰的奖励函数通常更容易调试和优化。复杂的奖励函数可能会导致代理难以学习正确的行为。\n", + "\n", + "#### 如何处理代理的意外行为？\n", + "\n", + "如果代理表现出意外行为，检查奖励函数是否存在漏洞。例如，代理可能会尝试最大化奖励而采取不合理的行动。通过调整奖励函数，确保它能够正确引导代理行为。\n", + "\n", + "#### 是否需要动态调整奖励函数？\n", + "\n", + "在某些情况下，动态调整奖励函数可能是有益的。例如，随着任务难度增加，可以逐步提高奖励以激励代理持续改进。\n", + "\n", + "### 总结\n", + "\n", + "奖励函数是强化学习中至关重要的一部分。设计一个有效的奖励函数需要明确目标、提供及时反馈，并防止意外行为。通过不断优化奖励函数，可以帮助代理更快地学习并实现目标。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def reward(s):\n", + " r = s.energy-s.fatigue\n", + " if s.at()==Board.Cell.wolf:\n", + " return 100 if s.is_winning() else -100\n", + " if s.at()==Board.Cell.water:\n", + " return -100\n", + " return r" + ] + }, + { + "source": [ + "## Q-Learning 算法\n", + "\n", + "实际的学习算法几乎没有变化，我们只是使用 `state` 而不是仅仅使用棋盘位置。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "Q = np.ones((width,height,len(actions)),dtype=np.float)*1.0/len(actions)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def probs(v,eps=1e-4):\n", + " v = v-v.min()+eps\n", + " v = v/v.sum()\n", + " return v" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "" + ] + } + ], + "source": [ + "\n", + "from IPython.display import clear_output\n", + "\n", + "lpath = []\n", + "\n", + "for epoch in range(10000):\n", + " clear_output(wait=True)\n", + " print(f\"Epoch = {epoch}\",end='')\n", + "\n", + " # Pick initial point\n", + " s = state(m)\n", + " \n", + " # Start travelling\n", + " n=0\n", + " cum_reward = 0\n", + " while True:\n", + " x,y = s.board.human\n", + " v = probs(Q[x,y])\n", + " while True:\n", + " a = random.choices(list(actions),weights=v)[0]\n", + " dpos = actions[a]\n", + " if s.board.is_valid(s.board.move_pos(s.board.human,dpos)):\n", + " break \n", + " s.move(dpos)\n", + " r = reward(s)\n", + " if abs(r)==100: # end of game\n", + " print(f\" {n} steps\",end='\\r')\n", + " lpath.append(n)\n", + " break\n", + " alpha = np.exp(-n / 3000)\n", + " gamma = 0.5\n", + " ai = action_idx[a]\n", + " Q[x,y,ai] = (1 - alpha) * Q[x,y,ai] + alpha * (r + gamma * Q[x+dpos[0], y+dpos[1]].max())\n", + " n+=1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "m.plot(Q)" + ] + }, + { + "source": [ + "## 结果\n", + "\n", + "让我们看看我们是否成功训练了彼得与狼作战！\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Killed by wolf = 1, won: 9 times, drown: 90 times\n" + ] + } + ], + "source": [ + "def qpolicy(m):\n", + " x,y = m.human\n", + " v = probs(Q[x,y])\n", + " a = random.choices(list(actions),weights=v)[0]\n", + " return a\n", + "\n", + "print_statistics(qpolicy)" + ] + }, + { + "source": [ + "我们现在看到溺水的案例少了很多，但彼得仍然无法总是杀死狼。尝试进行实验，看看通过调整超参数是否能改善这个结果。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(lpath)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而引起的任何误解或误读，我们概不负责。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/1-QLearning/solution/notebook.ipynb b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/notebook.ipynb new file mode 100644 index 000000000..c4ea93772 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/1-QLearning/solution/notebook.ipynb @@ -0,0 +1,577 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "488431336543f71f14d4aaf0399e3381", + "translation_date": "2025-09-03T20:49:17+00:00", + "source_file": "8-Reinforcement/1-QLearning/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "# 彼得与狼：强化学习入门\n", + "\n", + "在本教程中，我们将学习如何将强化学习应用于路径寻找问题。这个场景灵感来源于俄罗斯作曲家[谢尔盖·普罗科菲耶夫](https://en.wikipedia.org/wiki/Sergei_Prokofiev)创作的音乐童话故事[《彼得与狼》](https://en.wikipedia.org/wiki/Peter_and_the_Wolf)。故事讲述了年轻的先锋彼得勇敢地走出家门，来到森林空地追逐狼的冒险经历。我们将训练机器学习算法，帮助彼得探索周围区域并构建一张最优导航地图。\n", + "\n", + "首先，让我们导入一些有用的库：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random\n", + "import math" + ] + }, + { + "source": [ + "## 强化学习概述\n", + "\n", + "**强化学习**（RL）是一种学习技术，通过运行大量实验，让我们能够学习到某个**环境**中**智能体**的最优行为。在这个环境中，智能体应该有一个明确的**目标**，由一个**奖励函数**来定义。\n", + "\n", + "## 环境\n", + "\n", + "为了简单起见，我们将彼得的世界设定为一个大小为 `width` x `height` 的方形棋盘。在这个棋盘上的每个格子可以是：\n", + "* **地面**，彼得和其他生物可以在上面行走\n", + "* **水域**，显然无法在上面行走\n", + "* **树**或**草地**——一个可以休息的地方\n", + "* **苹果**，代表彼得很乐意找到的食物以填饱肚子\n", + "* **狼**，危险的存在，应该尽量避开\n", + "\n", + "为了与环境交互，我们将定义一个名为 `Board` 的类。为了避免让这个笔记本过于复杂，我们已将所有与棋盘相关的代码移至一个单独的 `rlboard` 模块中，现在我们将导入该模块。你可以查看这个模块内部的实现细节以了解更多信息。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from rlboard import *" + ] + }, + { + "source": [ + "现在让我们创建一个随机棋盘，看看它的样子：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "width, height = 8,8\n", + "m = Board(width,height)\n", + "m.randomize(seed=13)\n", + "m.plot()" + ] + }, + { + "source": [ + "## 行动与策略\n", + "\n", + "在我们的例子中，彼得的目标是找到一个苹果，同时避开狼和其他障碍物。为此，他可以四处走动直到找到苹果。因此，在任何位置，他可以选择以下行动之一：向上、向下、向左或向右。我们将这些行动定义为一个字典，并将它们映射到对应的坐标变化对。例如，向右移动 (`R`) 对应坐标变化对 `(1,0)`。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "actions = { \"U\" : (0,-1), \"D\" : (0,1), \"L\" : (-1,0), \"R\" : (1,0) }\n", + "action_idx = { a : i for i,a in enumerate(actions.keys()) }" + ] + }, + { + "source": [ + "我们代理（Peter）的策略由一个所谓的**策略**定义。让我们来看看最简单的策略，称为**随机游走**。\n", + "\n", + "## 随机游走\n", + "\n", + "首先，让我们通过实现随机游走策略来解决我们的问题。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "18" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "def random_policy(m):\n", + " return random.choice(list(actions))\n", + "\n", + "def walk(m,policy,start_position=None):\n", + " n = 0 # number of steps\n", + " # set initial position\n", + " if start_position:\n", + " m.human = start_position \n", + " else:\n", + " m.random_start()\n", + " while True:\n", + " if m.at() == Board.Cell.apple:\n", + " return n # success!\n", + " if m.at() in [Board.Cell.wolf, Board.Cell.water]:\n", + " return -1 # eaten by wolf or drowned\n", + " while True:\n", + " a = actions[policy(m)]\n", + " new_pos = m.move_pos(m.human,a)\n", + " if m.is_valid(new_pos) and m.at(new_pos)!=Board.Cell.water:\n", + " m.move(a) # do the actual move\n", + " break\n", + " n+=1\n", + "\n", + "walk(m,random_policy)" + ] + }, + { + "source": [ + "让我们多次运行随机游走实验，看看平均步数：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Average path length = 32.87096774193548, eaten by wolf: 7 times\n" + ] + } + ], + "source": [ + "def print_statistics(policy):\n", + " s,w,n = 0,0,0\n", + " for _ in range(100):\n", + " z = walk(m,policy)\n", + " if z<0:\n", + " w+=1\n", + " else:\n", + " s += z\n", + " n += 1\n", + " print(f\"Average path length = {s/n}, eaten by wolf: {w} times\")\n", + "\n", + "print_statistics(random_policy)" + ] + }, + { + "source": [ + "## 奖励函数\n", + "\n", + "为了让我们的策略更加智能，我们需要了解哪些动作比其他动作“更好”。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "move_reward = -0.1\n", + "goal_reward = 10\n", + "end_reward = -10\n", + "\n", + "def reward(m,pos=None):\n", + " pos = pos or m.human\n", + " if not m.is_valid(pos):\n", + " return end_reward\n", + " x = m.at(pos)\n", + " if x==Board.Cell.water or x == Board.Cell.wolf:\n", + " return end_reward\n", + " if x==Board.Cell.apple:\n", + " return goal_reward\n", + " return move_reward" + ] + }, + { + "source": [ + "## Q-Learning\n", + "\n", + "构建一个 Q-Table，或者说是一个多维数组。由于我们的棋盘尺寸是 `width` x `height`，我们可以用一个形状为 `width` x `height` x `len(actions)` 的 numpy 数组来表示 Q-Table：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "Q = np.ones((width,height,len(actions)),dtype=np.float)*1.0/len(actions)" + ] + }, + { + "source": [ + "将Q表传递给绘图函数，以便在板上可视化该表：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "m.plot(Q)" + ] + }, + { + "source": [ + "## Q-Learning的核心：贝尔曼方程和学习算法\n", + "\n", + "编写学习算法的伪代码：\n", + "\n", + "* 初始化Q表Q，所有状态和动作的值设为相同\n", + "* 设置学习率 $\\alpha\\leftarrow 1$\n", + "* 多次重复模拟\n", + " 1. 从随机位置开始\n", + " 1. 重复以下步骤\n", + " 1. 在状态$s$选择一个动作$a$\n", + " 2. 执行动作，移动到新状态$s'$\n", + " 3. 如果遇到游戏结束条件，或者总奖励过低——退出模拟 \n", + " 4. 计算新状态的奖励$r$\n", + " 5. 根据贝尔曼方程更新Q函数：$Q(s,a)\\leftarrow (1-\\alpha)Q(s,a)+\\alpha(r+\\gamma\\max_{a'}Q(s',a'))$\n", + " 6. $s\\leftarrow s'$\n", + " 7. 更新总奖励并降低$\\alpha$。\n", + "\n", + "## 探索与利用\n", + "\n", + "最佳方法是平衡探索与利用。当我们对环境了解得越多时，更倾向于遵循最优路径，但偶尔选择未探索的路径。\n", + "\n", + "## Python实现\n", + "\n", + "现在我们准备实现学习算法。在此之前，我们还需要一些函数，将Q表中的任意数字转换为对应动作的概率向量：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def probs(v,eps=1e-4):\n", + " v = v-v.min()+eps\n", + " v = v/v.sum()\n", + " return v" + ] + }, + { + "source": [ + "我们在原始向量中添加少量的 `eps`，以避免在初始情况下所有向量分量相同时出现除以0的情况。\n", + "\n", + "我们将运行实际的学习算法进行5000次实验，也称为**epochs**：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "" + ] + } + ], + "source": [ + "\n", + "from IPython.display import clear_output\n", + "\n", + "lpath = []\n", + "\n", + "for epoch in range(10000):\n", + " clear_output(wait=True)\n", + " print(f\"Epoch = {epoch}\",end='')\n", + "\n", + " # Pick initial point\n", + " m.random_start()\n", + " \n", + " # Start travelling\n", + " n=0\n", + " cum_reward = 0\n", + " while True:\n", + " x,y = m.human\n", + " v = probs(Q[x,y])\n", + " a = random.choices(list(actions),weights=v)[0]\n", + " dpos = actions[a]\n", + " m.move(dpos,check_correctness=False) # we allow player to move outside the board, which terminates episode\n", + " r = reward(m)\n", + " cum_reward += r\n", + " if r==end_reward or cum_reward < -1000:\n", + " print(f\" {n} steps\",end='\\r')\n", + " lpath.append(n)\n", + " break\n", + " alpha = np.exp(-n / 3000)\n", + " gamma = 0.5\n", + " ai = action_idx[a]\n", + " Q[x,y,ai] = (1 - alpha) * Q[x,y,ai] + alpha * (r + gamma * Q[x+dpos[0], y+dpos[1]].max())\n", + " n+=1" + ] + }, + { + "source": [ + "在执行此算法后，Q-表应更新为定义每个步骤中不同动作吸引力的值。在此处可视化该表：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "m.plot(Q)" + ] + }, + { + "source": [ + "## 检查策略\n", + "\n", + "由于 Q-Table 列出了每个状态下每个动作的“吸引力”，我们可以很容易地利用它来定义在我们的世界中高效的导航。在最简单的情况下，我们只需选择对应最高 Q-Table 值的动作：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "def qpolicy_strict(m):\n", + " x,y = m.human\n", + " v = probs(Q[x,y])\n", + " a = list(actions)[np.argmax(v)]\n", + " return a\n", + "\n", + "walk(m,qpolicy_strict)" + ] + }, + { + "source": [ + "如果你多次运行上述代码，你可能会注意到有时它会“卡住”，需要按下笔记本中的停止按钮来中断它。\n", + "\n", + "> **任务 1：** 修改 `walk` 函数，限制路径的最大长度为一定步数（例如，100），并观察上述代码是否会不时返回该值。\n", + "\n", + "> **任务 2：** 修改 `walk` 函数，使其不再回到之前已经访问过的地方。这将防止 `walk` 进入循环，但代理仍可能被“困”在一个无法逃脱的位置。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Average path length = 3.45, eaten by wolf: 0 times\n" + ] + } + ], + "source": [ + "\n", + "def qpolicy(m):\n", + " x,y = m.human\n", + " v = probs(Q[x,y])\n", + " a = random.choices(list(actions),weights=v)[0]\n", + " return a\n", + "\n", + "print_statistics(qpolicy)" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 15 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(lpath)" + ] + }, + { + "source": [ + "我们可以看到，起初平均路径长度有所增加。这可能是因为当我们对环境一无所知时，很容易陷入糟糕的状态，比如掉进水里或遇到狼。随着我们学习更多并开始利用这些知识，我们能够在环境中探索更长时间，但仍然不太清楚苹果的位置。\n", + "\n", + "当我们学到足够多时，代理更容易实现目标，路径长度开始减少。然而，我们仍然会进行探索，因此经常偏离最佳路径，尝试新的选项，这使得路径比最优路径更长。\n", + "\n", + "我们在图表上还观察到，某个时刻路径长度突然增加。这表明过程具有随机性，并且我们可能会在某些时候“破坏”Q-表的系数，通过用新值覆盖它们。这种情况理想情况下应该通过降低学习率来最小化（即在训练后期，我们仅用小幅度调整Q-表的值）。\n", + "\n", + "总体来说，重要的是要记住，学习过程的成功和质量在很大程度上取决于一些参数，比如学习率、学习率衰减和折扣因子。这些通常被称为**超参数**，以区别于我们在训练过程中优化的**参数**（例如Q-表系数）。寻找最佳超参数值的过程被称为**超参数优化**，这是一个值得单独讨论的话题。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "## 练习\n", + "#### 一个更真实的《彼得与狼》世界\n", + "\n", + "在我们的情境中，彼得几乎可以四处移动而不会感到疲惫或饥饿。在一个更真实的世界里，他需要时不时地坐下来休息，还需要给自己补充食物。让我们通过实现以下规则，使我们的世界更加真实：\n", + "\n", + "1. 每次从一个地方移动到另一个地方，彼得都会损失一定的**能量**并增加一些**疲劳**。\n", + "2. 彼得可以通过吃苹果来恢复能量。\n", + "3. 彼得可以通过在树下或草地上休息来消除疲劳（即走到有树或草的棋盘位置——绿色区域）。\n", + "4. 彼得需要找到并杀死狼。\n", + "5. 为了杀死狼，彼得需要达到一定的能量和疲劳水平，否则他会在战斗中失败。\n", + "\n", + "根据游戏规则修改上述奖励函数，运行强化学习算法以学习赢得游戏的最佳策略，并将随机游走的结果与您的算法进行比较，比较胜负场次。\n", + "\n", + "> **注意**: 您可能需要调整超参数以使其正常运行，尤其是训练的轮数。由于游戏的成功（与狼战斗）是一个罕见事件，您可以预期训练时间会更长。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/README.md b/translations/zh-CN/8-Reinforcement/2-Gym/README.md new file mode 100644 index 000000000..2c8cc473d --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/README.md @@ -0,0 +1,342 @@ +# CartPole 滑行 + +我们在上一课中解决的问题可能看起来像一个玩具问题，似乎与现实生活场景无关。但事实并非如此，因为许多现实世界的问题也具有类似的场景——包括下棋或围棋。这些问题类似，因为我们也有一个带有规则的棋盘和一个**离散状态**。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 介绍 + +在本课中，我们将把 Q-Learning 的相同原理应用于一个具有**连续状态**的问题，即状态由一个或多个实数表示。我们将处理以下问题： + +> **问题**：如果彼得想要逃离狼的追捕，他需要能够移动得更快。我们将看到彼得如何通过 Q-Learning 学习滑行，特别是保持平衡。 + +![伟大的逃亡！](../../../../8-Reinforcement/2-Gym/images/escape.png) + +> 彼得和他的朋友们发挥创意逃离狼的追捕！图片由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +我们将使用一种称为 **CartPole** 的简化平衡问题。在 CartPole 世界中，我们有一个可以左右移动的水平滑块，目标是让滑块顶部的垂直杆保持平衡。 + +## 前置知识 + +在本课中，我们将使用一个名为 **OpenAI Gym** 的库来模拟不同的**环境**。你可以在本地运行本课的代码（例如在 Visual Studio Code 中），此时模拟会在新窗口中打开。如果在线运行代码，你可能需要对代码进行一些调整，具体描述见[这里](https://towardsdatascience.com/rendering-openai-gym-envs-on-binder-and-google-colab-536f99391cc7)。 + +## OpenAI Gym + +在上一课中，游戏规则和状态由我们自己定义的 `Board` 类提供。在这里，我们将使用一个特殊的**模拟环境**，它会模拟平衡杆的物理过程。训练强化学习算法最流行的模拟环境之一是 [Gym](https://gym.openai.com/)，由 [OpenAI](https://openai.com/) 维护。通过使用这个 Gym，我们可以创建不同的**环境**，从 CartPole 模拟到 Atari 游戏。 + +> **注意**：你可以在 OpenAI Gym 中查看其他可用的环境 [这里](https://gym.openai.com/envs/#classic_control)。 + +首先，让我们安装 Gym 并导入所需的库（代码块 1）： + +```python +import sys +!{sys.executable} -m pip install gym + +import gym +import matplotlib.pyplot as plt +import numpy as np +import random +``` + +## 练习 - 初始化一个 CartPole 环境 + +要处理 CartPole 平衡问题，我们需要初始化相应的环境。每个环境都与以下内容相关联： + +- **观察空间**：定义我们从环境中接收到的信息结构。对于 CartPole 问题，我们接收到杆的位置、速度以及其他一些值。 + +- **动作空间**：定义可能的动作。在我们的例子中，动作空间是离散的，由两个动作组成——**左**和**右**。（代码块 2） + +1. 要初始化，请输入以下代码： + + ```python + env = gym.make("CartPole-v1") + print(env.action_space) + print(env.observation_space) + print(env.action_space.sample()) + ``` + +为了了解环境如何工作，让我们运行一个短暂的模拟，持续 100 步。在每一步中，我们提供一个动作——在这个模拟中，我们只是随机选择一个来自 `action_space` 的动作。 + +1. 运行以下代码并查看结果。 + + ✅ 请记住，最好在本地 Python 安装中运行此代码！（代码块 3） + + ```python + env.reset() + + for i in range(100): + env.render() + env.step(env.action_space.sample()) + env.close() + ``` + + 你应该会看到类似于以下图片的内容： + + ![未平衡的 CartPole](../../../../8-Reinforcement/2-Gym/images/cartpole-nobalance.gif) + +1. 在模拟过程中，我们需要获取观察值以决定如何行动。实际上，`step` 函数会返回当前的观察值、奖励函数以及一个表示是否继续模拟的完成标志：（代码块 4） + + ```python + env.reset() + + done = False + while not done: + env.render() + obs, rew, done, info = env.step(env.action_space.sample()) + print(f"{obs} -> {rew}") + env.close() + ``` + + 你将在笔记本输出中看到类似以下的内容： + + ```text + [ 0.03403272 -0.24301182 0.02669811 0.2895829 ] -> 1.0 + [ 0.02917248 -0.04828055 0.03248977 0.00543839] -> 1.0 + [ 0.02820687 0.14636075 0.03259854 -0.27681916] -> 1.0 + [ 0.03113408 0.34100283 0.02706215 -0.55904489] -> 1.0 + [ 0.03795414 0.53573468 0.01588125 -0.84308041] -> 1.0 + ... + [ 0.17299878 0.15868546 -0.20754175 -0.55975453] -> 1.0 + [ 0.17617249 0.35602306 -0.21873684 -0.90998894] -> 1.0 + ``` + + 在模拟的每一步返回的观察向量包含以下值： + - 小车的位置 + - 小车的速度 + - 杆的角度 + - 杆的旋转速率 + +1. 获取这些数值的最小值和最大值：（代码块 5） + + ```python + print(env.observation_space.low) + print(env.observation_space.high) + ``` + + 你可能还会注意到，每次模拟步骤的奖励值始终为 1。这是因为我们的目标是尽可能长时间地保持杆在合理的垂直位置。 + + ✅ 实际上，如果我们在 100 次连续试验中平均奖励达到 195，则认为 CartPole 模拟问题已解决。 + +## 状态离散化 + +在 Q-Learning 中，我们需要构建 Q-Table 来定义在每个状态下的行动。为了做到这一点，我们需要状态是**离散的**，更确切地说，它应该包含有限数量的离散值。因此，我们需要以某种方式**离散化**我们的观察值，将它们映射到有限的状态集合。 + +有几种方法可以做到这一点： + +- **划分为区间**。如果我们知道某个值的范围，我们可以将这个范围划分为若干**区间**，然后用该值所属的区间编号替换原值。这可以使用 numpy 的 [`digitize`](https://numpy.org/doc/stable/reference/generated/numpy.digitize.html) 方法来完成。在这种情况下，我们将准确知道状态的大小，因为它将取决于我们为离散化选择的区间数量。 + +✅ 我们可以使用线性插值将值映射到某个有限区间（例如，从 -20 到 20），然后通过四舍五入将数字转换为整数。这种方法对状态大小的控制稍弱，特别是当我们不知道输入值的确切范围时。例如，在我们的例子中，观察值中的 4 个值中有 2 个没有上下界，这可能导致状态数量无限。 + +在我们的例子中，我们将采用第二种方法。正如你稍后可能注意到的，尽管没有明确的上下界，这些值很少会超出某些有限区间，因此具有极端值的状态将非常罕见。 + +1. 以下是一个函数，它将从模型中获取观察值并生成一个包含 4 个整数值的元组：（代码块 6） + + ```python + def discretize(x): + return tuple((x/np.array([0.25, 0.25, 0.01, 0.1])).astype(np.int)) + ``` + +1. 我们还可以探索另一种使用区间的离散化方法：（代码块 7） + + ```python + def create_bins(i,num): + return np.arange(num+1)*(i[1]-i[0])/num+i[0] + + print("Sample bins for interval (-5,5) with 10 bins\n",create_bins((-5,5),10)) + + ints = [(-5,5),(-2,2),(-0.5,0.5),(-2,2)] # intervals of values for each parameter + nbins = [20,20,10,10] # number of bins for each parameter + bins = [create_bins(ints[i],nbins[i]) for i in range(4)] + + def discretize_bins(x): + return tuple(np.digitize(x[i],bins[i]) for i in range(4)) + ``` + +1. 现在让我们运行一个短暂的模拟并观察这些离散化的环境值。可以尝试 `discretize` 和 `discretize_bins`，看看是否有区别。 + + ✅ `discretize_bins` 返回区间编号，从 0 开始。因此，对于输入变量值接近 0 的情况，它返回区间中间的编号（10）。在 `discretize` 中，我们没有关心输出值的范围，允许它们为负，因此状态值没有偏移，0 对应于 0。（代码块 8） + + ```python + env.reset() + + done = False + while not done: + #env.render() + obs, rew, done, info = env.step(env.action_space.sample()) + #print(discretize_bins(obs)) + print(discretize(obs)) + env.close() + ``` + + ✅ 如果你想查看环境如何执行，可以取消注释以 `env.render` 开头的行。否则，你可以在后台执行，这样速度更快。在我们的 Q-Learning 过程中，我们将使用这种“不可见”的执行方式。 + +## Q-Table 结构 + +在上一课中，状态是一个简单的数字对，从 0 到 8，因此用形状为 8x8x2 的 numpy 张量表示 Q-Table 很方便。如果我们使用区间离散化，状态向量的大小也是已知的，因此我们可以使用相同的方法，用形状为 20x20x10x10x2 的数组表示状态（这里的 2 是动作空间的维度，前几个维度对应于我们为观察空间中每个参数选择的区间数量）。 + +然而，有时观察空间的精确维度是未知的。在使用 `discretize` 函数的情况下，我们可能无法确定状态是否保持在某些限制范围内，因为某些原始值是没有界限的。因此，我们将使用稍微不同的方法，用字典表示 Q-Table。 + +1. 使用 *(state, action)* 对作为字典键，值对应于 Q-Table 的条目值。（代码块 9） + + ```python + Q = {} + actions = (0,1) + + def qvalues(state): + return [Q.get((state,a),0) for a in actions] + ``` + + 在这里我们还定义了一个函数 `qvalues()`，它返回给定状态对应于所有可能动作的 Q-Table 值列表。如果 Q-Table 中没有该条目，我们将返回默认值 0。 + +## 开始 Q-Learning + +现在我们准备教彼得如何保持平衡了！ + +1. 首先，让我们设置一些超参数：（代码块 10） + + ```python + # hyperparameters + alpha = 0.3 + gamma = 0.9 + epsilon = 0.90 + ``` + + 这里，`alpha` 是**学习率**，定义了我们在每一步中应该在多大程度上调整 Q-Table 的当前值。在上一课中，我们从 1 开始，然后在训练过程中将 `alpha` 降低到较低的值。在这个例子中，为了简单起见，我们将保持它不变，你可以稍后尝试调整 `alpha` 值。 + + `gamma` 是**折扣因子**，表示我们应该在多大程度上优先考虑未来奖励而不是当前奖励。 + + `epsilon` 是**探索/利用因子**，决定我们是否应该更倾向于探索还是利用。在我们的算法中，我们将在 `epsilon` 百分比的情况下根据 Q-Table 值选择下一个动作，而在剩余情况下执行随机动作。这将允许我们探索以前从未见过的搜索空间区域。 + + ✅ 在平衡方面——选择随机动作（探索）就像是一个随机的错误方向的推力，杆需要学习如何从这些“错误”中恢复平衡。 + +### 改进算法 + +我们还可以对上一课的算法进行两项改进： + +- **计算平均累计奖励**，在多次模拟中进行。我们将每 5000 次迭代打印一次进度，并在这段时间内对累计奖励进行平均。这意味着如果我们获得超过 195 分——我们可以认为问题已经解决，质量甚至高于要求。 + +- **计算最大平均累计结果**，`Qmax`，并存储对应于该结果的 Q-Table。当你运行训练时，你会注意到有时平均累计结果开始下降，我们希望保留训练过程中观察到的最佳模型对应的 Q-Table 值。 + +1. 在每次模拟中将所有累计奖励收集到 `rewards` 向量中，以便进一步绘图。（代码块 11） + + ```python + def probs(v,eps=1e-4): + v = v-v.min()+eps + v = v/v.sum() + return v + + Qmax = 0 + cum_rewards = [] + rewards = [] + for epoch in range(100000): + obs = env.reset() + done = False + cum_reward=0 + # == do the simulation == + while not done: + s = discretize(obs) + if random.random() Qmax: + Qmax = np.average(cum_rewards) + Qbest = Q + cum_rewards=[] + ``` + +你可能从这些结果中注意到： + +- **接近目标**。我们非常接近实现目标，即在 100 次以上的连续模拟中获得 195 的累计奖励，或者我们实际上已经实现了！即使我们获得较小的数字，我们仍然不知道，因为我们平均了 5000 次运行，而正式标准只需要 100 次运行。 + +- **奖励开始下降**。有时奖励开始下降，这意味着我们可能会用使情况变得更糟的新值“破坏” Q-Table 中已经学习到的值。 + +如果我们绘制训练进度，这种观察会更加清晰。 + +## 绘制训练进度 + +在训练过程中，我们将每次迭代的累计奖励值收集到 `rewards` 向量中。以下是将其与迭代次数绘制在一起的样子： + +```python +plt.plot(rewards) +``` + +![原始进度](../../../../8-Reinforcement/2-Gym/images/train_progress_raw.png) + +从这个图表中无法看出任何信息，因为由于随机训练过程的性质，训练会话的长度变化很大。为了让这个图表更有意义，我们可以计算一系列实验的**运行平均值**，比如 100 次。这可以使用 `np.convolve` 方便地完成：（代码块 12） + +```python +def running_average(x,window): + return np.convolve(x,np.ones(window)/window,mode='valid') + +plt.plot(running_average(rewards,100)) +``` + +![训练进度](../../../../8-Reinforcement/2-Gym/images/train_progress_runav.png) + +## 调整超参数 + +为了使学习更加稳定，有必要在训练过程中调整一些超参数。特别是： + +- **学习率** `alpha`，我们可以从接近 1 的值开始，然后逐渐降低该参数。随着时间的推移，我们将在 Q-Table 中获得良好的概率值，因此我们应该稍微调整它们，而不是完全用新值覆盖。 + +- **增加 epsilon**。我们可能希望慢慢增加 `epsilon`，以便减少探索，更多地利用。可能合理的是从较低的 `epsilon` 值开始，然后逐渐增加到接近 1。 +> **任务 1**：尝试调整超参数的值，看看是否能获得更高的累计奖励。你的得分是否超过了195？ +> **任务 2**：为了正式解决这个问题，你需要在连续100次运行中获得195的平均奖励。在训练过程中进行测量，并确保你已经正式解决了这个问题！ + +## 查看结果的实际表现 + +观察训练好的模型如何表现会非常有趣。让我们运行模拟，并遵循与训练时相同的动作选择策略，根据Q表中的概率分布进行采样：（代码块13） + +```python +obs = env.reset() +done = False +while not done: + s = discretize(obs) + env.render() + v = probs(np.array(qvalues(s))) + a = random.choices(actions,weights=v)[0] + obs,_,done,_ = env.step(a) +env.close() +``` + +你应该会看到类似这样的画面： + +![一个保持平衡的Cartpole](../../../../8-Reinforcement/2-Gym/images/cartpole-balance.gif) + +--- + +## 🚀挑战 + +> **任务 3**：在这里，我们使用的是Q表的最终版本，但它可能不是表现最好的版本。记住，我们已经将表现最好的Q表存储在变量`Qbest`中！尝试用表现最好的Q表替换当前的Q表，看看是否能观察到差异。 + +> **任务 4**：在这里，我们并没有在每一步选择最佳动作，而是根据对应的概率分布进行采样。是否总是选择具有最高Q表值的最佳动作会更合理？这可以通过使用`np.argmax`函数找到对应于最高Q表值的动作编号来实现。尝试实施这种策略，看看是否能改善平衡效果。 + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 作业 +[训练一个山地车](assignment.md) + +## 总结 + +我们现在已经学会了如何通过提供一个定义游戏目标状态的奖励函数，并让智能体有机会智能地探索搜索空间，来训练智能体以获得良好的结果。我们成功地在离散和连续环境中应用了Q学习算法，但动作是离散的。 + +研究动作状态也是连续的情况，以及观察空间更复杂的情况（例如来自Atari游戏屏幕的图像）也很重要。在这些问题中，我们通常需要使用更强大的机器学习技术，例如神经网络，以获得良好的结果。这些更高级的主题将是我们即将推出的高级AI课程的内容。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/assignment.md b/translations/zh-CN/8-Reinforcement/2-Gym/assignment.md new file mode 100644 index 000000000..cf1633d80 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/assignment.md @@ -0,0 +1,48 @@ +# 训练山地车 + +[OpenAI Gym](http://gym.openai.com) 的设计使得所有环境都提供相同的 API——即相同的方法 `reset`、`step` 和 `render`，以及相同的 **动作空间** 和 **观察空间** 抽象。因此，可以通过最小的代码更改，将相同的强化学习算法适配到不同的环境中。 + +## 山地车环境 + +[山地车环境](https://gym.openai.com/envs/MountainCar-v0/) 包含一辆被困在山谷中的小车： + +目标是通过以下动作之一，在每一步中让小车驶出山谷并夺取旗帜： + +| 值 | 含义 | +|---|---| +| 0 | 向左加速 | +| 1 | 不加速 | +| 2 | 向右加速 | + +然而，这个问题的主要难点在于，小车的引擎动力不足，无法一次性爬上山顶。因此，唯一的成功方法是通过来回移动来积累动能。 + +观察空间仅包含两个值： + +| 编号 | 观察值 | 最小值 | 最大值 | +|-----|--------------|-----|-----| +| 0 | 小车位置 | -1.2 | 0.6 | +| 1 | 小车速度 | -0.07 | 0.07 | + +山地车的奖励系统相当复杂： + + * 如果智能体到达山顶的旗帜位置（位置 = 0.5），奖励为 0。 + * 如果智能体的位置小于 0.5，奖励为 -1。 + +当小车位置超过 0.5 或者回合长度超过 200 时，回合终止。 + +## 指导说明 + +将我们的强化学习算法适配到山地车问题中。以现有的 [notebook.ipynb](notebook.ipynb) 代码为起点，替换新的环境，修改状态离散化函数，并尝试通过最小的代码修改使现有算法能够进行训练。通过调整超参数来优化结果。 + +> **注意**: 可能需要调整超参数以使算法收敛。 + +## 评分标准 + +| 标准 | 优秀 | 合格 | 需要改进 | +| -------- | --------- | -------- | ----------------- | +| | 成功从 CartPole 示例中适配 Q-Learning 算法，代码修改最小，能够在 200 步内解决夺旗问题。 | 从网上采用了新的 Q-Learning 算法，但文档记录良好；或者采用了现有算法，但未达到预期结果。 | 未能成功采用任何算法，但在解决方案上迈出了重要一步（实现了状态离散化、Q 表数据结构等）。 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/notebook.ipynb b/translations/zh-CN/8-Reinforcement/2-Gym/notebook.ipynb new file mode 100644 index 000000000..9aa8ff149 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/notebook.ipynb @@ -0,0 +1,394 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.4" + }, + "orig_nbformat": 4, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.4 64-bit ('base': conda)" + }, + "interpreter": { + "hash": "86193a1ab0ba47eac1c69c1756090baa3b420b3eea7d4aafab8b85f8b312f0c5" + }, + "coopTranslator": { + "original_hash": "f22f8f3daed4b6d34648d1254763105b", + "translation_date": "2025-09-03T20:54:32+00:00", + "source_file": "8-Reinforcement/2-Gym/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "## 小车杆滑行\n", + "\n", + "> **问题**：如果彼得想要逃离狼的追捕，他需要比狼移动得更快。我们将探讨彼得如何学习滑行，特别是如何通过 Q-Learning 学习保持平衡。\n", + "\n", + "首先，让我们安装 gym 并导入所需的库：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#code block 1" + ] + }, + { + "source": [ + "## 创建一个平衡杆环境\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "#code block 2" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] + }, + { + "source": [ + "要了解环境如何运行，让我们进行一个100步的短模拟。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "#code block 3" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] + }, + { + "source": [ + "在模拟过程中，我们需要获取观察结果以决定如何行动。实际上，`step` 函数会返回当前的观察结果、奖励函数以及 `done` 标志，该标志指示是否有必要继续模拟：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "#code block 4" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": null, + "outputs": [] + }, + { + "source": [ + "我们可以获取这些数字的最小值和最大值：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[-4.8000002e+00 -3.4028235e+38 -4.1887903e-01 -3.4028235e+38]\n[4.8000002e+00 3.4028235e+38 4.1887903e-01 3.4028235e+38]\n" + ] + } + ], + "source": [ + "#code block 5" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "#code block 6" + ] + }, + { + "source": [ + "让我们也探索使用分箱的其他离散化方法：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Sample bins for interval (-5,5) with 10 bins\n [-5. -4. -3. -2. -1. 0. 1. 2. 3. 4. 5.]\n" + ] + } + ], + "source": [ + "#code block 7" + ] + }, + { + "source": [ + "现在让我们运行一个简短的模拟，并观察那些离散的环境值。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(0, 0, -2, -2)\n(0, 1, -2, -5)\n(0, 2, -3, -8)\n(0, 3, -5, -11)\n(0, 3, -7, -14)\n(0, 4, -10, -17)\n(0, 3, -14, -15)\n(0, 3, -17, -12)\n(0, 3, -20, -16)\n(0, 4, -23, -19)\n" + ] + } + ], + "source": [ + "#code block 8" + ] + }, + { + "source": [ + "## Q-表结构\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "#code block 9" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "#code block 10" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0: 22.0, alpha=0.3, epsilon=0.9\n", + "5000: 70.1384, alpha=0.3, epsilon=0.9\n", + "10000: 121.8586, alpha=0.3, epsilon=0.9\n", + "15000: 149.6368, alpha=0.3, epsilon=0.9\n", + "20000: 168.2782, alpha=0.3, epsilon=0.9\n", + "25000: 196.7356, alpha=0.3, epsilon=0.9\n", + "30000: 220.7614, alpha=0.3, epsilon=0.9\n", + "35000: 233.2138, alpha=0.3, epsilon=0.9\n", + "40000: 248.22, alpha=0.3, epsilon=0.9\n", + "45000: 264.636, alpha=0.3, epsilon=0.9\n", + "50000: 276.926, alpha=0.3, epsilon=0.9\n", + "55000: 277.9438, alpha=0.3, epsilon=0.9\n", + "60000: 248.881, alpha=0.3, epsilon=0.9\n", + "65000: 272.529, alpha=0.3, epsilon=0.9\n", + "70000: 281.7972, alpha=0.3, epsilon=0.9\n", + "75000: 284.2844, alpha=0.3, epsilon=0.9\n", + "80000: 269.667, alpha=0.3, epsilon=0.9\n", + "85000: 273.8652, alpha=0.3, epsilon=0.9\n", + "90000: 278.2466, alpha=0.3, epsilon=0.9\n", + "95000: 269.1736, alpha=0.3, epsilon=0.9\n" + ] + } + ], + "source": [ + "#code block 11" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 20 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(rewards)" + ] + }, + { + "source": [ + "从这个图表中无法得出任何结论，因为由于随机训练过程的性质，训练会话的长度差异很大。为了更好地理解这个图表，我们可以计算**运行平均值**，例如基于100次实验。这可以通过使用`np.convolve`方便地完成：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 22 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "#code block 12" + ] + }, + { + "source": [ + "## 调整超参数并观察结果\n", + "\n", + "现在，实际观察训练后的模型表现会非常有趣。让我们运行模拟，并采用与训练时相同的动作选择策略：根据 Q-Table 中的概率分布进行采样：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# code block 13" + ] + }, + { + "source": [ + "## 将结果保存为动画 GIF\n", + "\n", + "如果你想给朋友留下深刻印象，可以考虑发送平衡杆的动画 GIF 图片。为此，我们可以调用 `env.render` 来生成图像帧，然后使用 PIL 库将这些帧保存为动画 GIF：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "360\n" + ] + } + ], + "source": [ + "from PIL import Image\n", + "obs = env.reset()\n", + "done = False\n", + "i=0\n", + "ims = []\n", + "while not done:\n", + " s = discretize(obs)\n", + " img=env.render(mode='rgb_array')\n", + " ims.append(Image.fromarray(img))\n", + " v = probs(np.array([Qbest.get((s,a),0) for a in actions]))\n", + " a = random.choices(actions,weights=v)[0]\n", + " obs,_,done,_ = env.step(a)\n", + " i+=1\n", + "env.close()\n", + "ims[0].save('images/cartpole-balance.gif',save_all=True,append_images=ims[1::2],loop=0,duration=5)\n", + "print(i)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/solution/Julia/README.md b/translations/zh-CN/8-Reinforcement/2-Gym/solution/Julia/README.md new file mode 100644 index 000000000..e2fb46232 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/solution/Julia/README.md @@ -0,0 +1,6 @@ + + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/solution/R/README.md b/translations/zh-CN/8-Reinforcement/2-Gym/solution/R/README.md new file mode 100644 index 000000000..61677dbd3 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/solution/R/README.md @@ -0,0 +1,6 @@ +这是一个临时占位符 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/2-Gym/solution/notebook.ipynb b/translations/zh-CN/8-Reinforcement/2-Gym/solution/notebook.ipynb new file mode 100644 index 000000000..08632234b --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/2-Gym/solution/notebook.ipynb @@ -0,0 +1,526 @@ +{ + "metadata": { + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + }, + "orig_nbformat": 4, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.0 64-bit ('3.7')" + }, + "interpreter": { + "hash": "70b38d7a306a849643e446cd70466270a13445e5987dfa1344ef2b127438fa4d" + }, + "coopTranslator": { + "original_hash": "5c0e485e58d63c506f1791c4dbf990ce", + "translation_date": "2025-09-03T20:56:48+00:00", + "source_file": "8-Reinforcement/2-Gym/solution/notebook.ipynb", + "language_code": "zh" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "source": [ + "## 小车杆滑行\n", + "\n", + "> **问题**：如果彼得想要逃离狼的追捕，他需要比狼移动得更快。我们将探讨彼得如何学习滑行，特别是如何通过Q学习来保持平衡。\n", + "\n", + "首先，让我们安装gym并导入所需的库：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: gym in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.18.3)\n", + "Requirement already satisfied: Pillow<=8.2.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from gym) (7.0.0)\n", + "Requirement already satisfied: scipy in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from gym) (1.4.1)\n", + "Requirement already satisfied: numpy>=1.10.4 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from gym) (1.19.2)\n", + "Requirement already satisfied: cloudpickle<1.7.0,>=1.2.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from gym) (1.6.0)\n", + "Requirement already satisfied: pyglet<=1.5.15,>=1.4.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from gym) (1.5.15)\n", + "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n", + "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n" + ] + } + ], + "source": [ + "import sys\n", + "!pip install gym \n", + "\n", + "import gym\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random" + ] + }, + { + "source": [ + "## 创建一个平衡杆环境\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "env = gym.make(\"CartPole-v1\")\n", + "print(env.action_space)\n", + "print(env.observation_space)\n", + "print(env.action_space.sample())" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Discrete(2)\nBox(-3.4028234663852886e+38, 3.4028234663852886e+38, (4,), float32)\n0\n" + ] + } + ] + }, + { + "source": [ + "要了解环境如何运行，让我们进行一个100步的短模拟。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "env.reset()\n", + "\n", + "for i in range(100):\n", + " env.render()\n", + " env.step(env.action_space.sample())\n", + "env.close()" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/gym/logger.py:30: UserWarning: \u001b[33mWARN: You are calling 'step()' even though this environment has already returned done = True. You should always call 'reset()' once you receive 'done = True' -- any further steps are undefined behavior.\u001b[0m\n warnings.warn(colorize('%s: %s'%('WARN', msg % args), 'yellow'))\n" + ] + } + ] + }, + { + "source": [ + "在模拟过程中，我们需要获取观察结果以决定如何行动。实际上，`step` 函数会返回当前的观察结果、奖励函数以及 `done` 标志，该标志指示是否有必要继续模拟：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "source": [ + "env.reset()\n", + "\n", + "done = False\n", + "while not done:\n", + " env.render()\n", + " obs, rew, done, info = env.step(env.action_space.sample())\n", + " print(f\"{obs} -> {rew}\")\n", + "env.close()" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 0.03044442 -0.19543914 -0.04496216 0.28125618] -> 1.0\n", + "[ 0.02653564 -0.38989186 -0.03933704 0.55942606] -> 1.0\n", + "[ 0.0187378 -0.19424049 -0.02814852 0.25461393] -> 1.0\n", + "[ 0.01485299 -0.38894946 -0.02305624 0.53828712] -> 1.0\n", + "[ 0.007074 -0.19351108 -0.0122905 0.23842953] -> 1.0\n", + "[ 0.00320378 0.00178427 -0.00752191 -0.05810469] -> 1.0\n", + "[ 0.00323946 0.19701326 -0.008684 -0.35315131] -> 1.0\n", + "[ 0.00717973 0.00201587 -0.01574703 -0.06321931] -> 1.0\n", + "[ 0.00722005 0.19736001 -0.01701141 -0.36082863] -> 1.0\n", + "[ 0.01116725 0.39271958 -0.02422798 -0.65882671] -> 1.0\n", + "[ 0.01902164 0.19794307 -0.03740452 -0.37387001] -> 1.0\n", + "[ 0.0229805 0.39357584 -0.04488192 -0.67810827] -> 1.0\n", + "[ 0.03085202 0.58929164 -0.05844408 -0.98457719] -> 1.0\n", + "[ 0.04263785 0.78514572 -0.07813563 -1.2950295 ] -> 1.0\n", + "[ 0.05834076 0.98116859 -0.10403622 -1.61111521] -> 1.0\n", + "[ 0.07796413 0.78741784 -0.13625852 -1.35259196] -> 1.0\n", + "[ 0.09371249 0.98396202 -0.16331036 -1.68461179] -> 1.0\n", + "[ 0.11339173 0.79106371 -0.1970026 -1.44691436] -> 1.0\n", + "[ 0.12921301 0.59883361 -0.22594088 -1.22169133] -> 1.0\n" + ] + } + ] + }, + { + "source": [ + "我们可以获取这些数字的最小值和最大值：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[-4.8000002e+00 -3.4028235e+38 -4.1887903e-01 -3.4028235e+38]\n[4.8000002e+00 3.4028235e+38 4.1887903e-01 3.4028235e+38]\n" + ] + } + ], + "source": [ + "print(env.observation_space.low)\n", + "print(env.observation_space.high)" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def discretize(x):\n", + " return tuple((x/np.array([0.25, 0.25, 0.01, 0.1])).astype(np.int))" + ] + }, + { + "source": [ + "让我们也探索使用分箱的其他离散化方法：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Sample bins for interval (-5,5) with 10 bins\n [-5. -4. -3. -2. -1. 0. 1. 2. 3. 4. 5.]\n" + ] + } + ], + "source": [ + "def create_bins(i,num):\n", + " return np.arange(num+1)*(i[1]-i[0])/num+i[0]\n", + "\n", + "print(\"Sample bins for interval (-5,5) with 10 bins\\n\",create_bins((-5,5),10))\n", + "\n", + "ints = [(-5,5),(-2,2),(-0.5,0.5),(-2,2)] # intervals of values for each parameter\n", + "nbins = [20,20,10,10] # number of bins for each parameter\n", + "bins = [create_bins(ints[i],nbins[i]) for i in range(4)]\n", + "\n", + "def discretize_bins(x):\n", + " return tuple(np.digitize(x[i],bins[i]) for i in range(4))" + ] + }, + { + "source": [ + "现在让我们运行一个简短的模拟，并观察那些离散的环境值。\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(0, 0, -1, -3)\n(0, 0, -2, 0)\n(0, 0, -2, -3)\n(0, 1, -3, -6)\n(0, 2, -4, -9)\n(0, 3, -6, -12)\n(0, 2, -8, -9)\n(0, 3, -10, -13)\n(0, 4, -13, -16)\n(0, 4, -16, -19)\n(0, 4, -20, -17)\n(0, 4, -24, -20)\n" + ] + } + ], + "source": [ + "env.reset()\n", + "\n", + "done = False\n", + "while not done:\n", + " #env.render()\n", + " obs, rew, done, info = env.step(env.action_space.sample())\n", + " #print(discretize_bins(obs))\n", + " print(discretize(obs))\n", + "env.close()" + ] + }, + { + "source": [ + "## Q-表结构\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "Q = {}\n", + "actions = (0,1)\n", + "\n", + "def qvalues(state):\n", + " return [Q.get((state,a),0) for a in actions]" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# hyperparameters\n", + "alpha = 0.3\n", + "gamma = 0.9\n", + "epsilon = 0.90" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0: 108.0, alpha=0.3, epsilon=0.9\n" + ] + } + ], + "source": [ + "def probs(v,eps=1e-4):\n", + " v = v-v.min()+eps\n", + " v = v/v.sum()\n", + " return v\n", + "\n", + "Qmax = 0\n", + "cum_rewards = []\n", + "rewards = []\n", + "for epoch in range(100000):\n", + " obs = env.reset()\n", + " done = False\n", + " cum_reward=0\n", + " # == do the simulation ==\n", + " while not done:\n", + " s = discretize(obs)\n", + " if random.random() Qmax:\n", + " Qmax = np.average(cum_rewards)\n", + " Qbest = Q\n", + " cum_rewards=[]" + ] + }, + { + "source": [], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 20 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(rewards)" + ] + }, + { + "source": [ + "从这个图表中无法得出任何结论，因为由于随机训练过程的性质，训练会话的长度差异很大。为了更好地理解这个图表，我们可以计算**运行平均值**，例如通过一系列实验，假设是100。这可以方便地使用`np.convolve`来完成：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 22 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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2RSJUUQNMRFNnx3VXAMvfLq2vmVNty2nZP2WQDaBdlGOrSSlDNXn7j+OdXz0mJPXRwvHDmptr7hE1tIvnoWRUkWnBpgN4Zq41+7b8nXFiWtebV1BiZR5pywHjlAdHDQLZjLhueEdH+9nFiu9PJoCZRBQPz8PhMyHE90S0CcAnRPQkgDUAZkj9ZwB4n4jy4dHoLwvCuJl6iMvBpF4Kj57CjkOl2FfirzEfL3eWJ/3Vn5zZXZXeGYDH5FFRXYN4xQPOivBRImu61wzr6Gekj1Q9qpmUH753uya6faxE18pU1wg8Omujo7eitTZz3euR1sBYXOq9zew+bOx91ad9uuF2tzAV9kKI9QD6a7TvgMd+r24vB3CJK6NjogorZhw91HZXZaTq6Bd+QnWtwMCsZv47OpSFTic2m6uKYFTXCnR/aB7OPK2pt00vmZgVIkGzt4a7I3t/2S5NW74V1u62J+yzmjf0VpRSYpbBVK94ydnPGXsCZSu+G8GEI2iZkBHIBNYuxY/vVGUNXltSp3nLppKaCNRyZW1Pr1C3HY6drLKl2RYdc/5QCRR54nXFTnfs2E4FPQD8bjOZml49XrM6uQePOxtjqBzTWdgzISOQGBKl//oJHdOMlmdHuMW/m7VVNxYdw3u/+04SGj3fLvivvepNbmImGJduCzyKN1jojd0sqZ3Te223hKNTWNgzIcOJfVkIgQWbDvjYQ4+d0hb2WrbZUCv7ZRXVPuMwE3p6ZE2b7edi+MrifNw6uovlYwSiDQfKGoXppEDDw+qKGctDORxbqEs/ymjlt1GiDnjL23/c0kR/qBzGQpucgYlpnMi9GUt34snZmzFU4XJ47os/W95/9e7QRine9fk6n3Ut3+zz+xj7yiv91pVFU37NP+xXNtHtZ9nbV2fbLgiixU6FgB/1/E946fL+OHSiAteGyPMkGHyrk4ZZDy0XUk1Y2DPRhmyzlwXUF6sKMbxLC7Q2yC//5GxPJkK7Hiwyf/0w8CyZgaBVg9aozi3g67depkoE5nISTT9G92gVlOPeLvnmbztYig6q9MKRhtIcGIr8NWzGYaIOWdjLybnu/nxdRL/Ou4GWZm9nolrd1T/rpfvCKJjeIR+v2I1/zrPmW+8WRoF1fTVcQ5XC/sUfjdNx6GHnIREqMw4Le8YV9L7cQghvoJGydJ1snlDmG49GtD4WI+28TJUnXy3MQ6FpntFW3ze+PmKU0fLu8d392pR1g79Y5Z8iwwr/WWg9QV+o8kSysGcCZs6GInR6YI5m6t73ft+FSS8txW/5h/Dh8rqMk3IIuhJ19Gm0onYRnbOhCFnTZuO6mSv9hItSTt00srPfHMRelc9+kt1K4xo8MLEnLh/YPuDjuMnoHi2Dclx1MRjA15/eaaUxW8Le0Rnsw8KeCZj7vlwPAPhcQwvK2++pCrXzcJmpa5q60He0otbW5XmFHzcfRO5e3wee0uX0tSXbsXiLb8Ku3YoH7PIHxmDj4+NxaXZggjopIQ4jutpPTtiiUbJ5J4cESyAmJ/gLe6UHlds1hLXQ8y5zGxb2TMDILmk/aFSRypVqdC7bcSTkbpCRipFZQZ2Qy+wzi1MYfFulpSAxPk63Lm2wCaY1wqkLqxmZGs4BynkRvYLnbtKicfAekkpY2DOuoZViYIOkqS42KPWmh7KIRTRhJOzV+ffNkqZZqVyVZrH8nbKEoLqwuRXcKkqjRbA07OYabyNK000gZSz1yGru643EZhwmIjlUWoGsabPx3bp9OF5ehSe/3+Td1qJRku5+aSkJttMl9Htcv6B1faZWCNTUCgx5ZqFfmcRyVU1X2fU0EBIs2vHH9apzuxwaAamUlVRVh+5txWmJQquo8+4EWrrRKizsGVtskbT36XPz8MycPLy1tK56U28DL47z+7aJWjPOZzcOsdW/tLwaldW1KDpW7p3vkLFSaMMuWsLkvDNa+7UpTUiRVkk0GLni9dIvh8JOr4Rz4zARyQGpCtDeklPe/N1yHdbzemfins/XadaF/WHj/rDZkoON3QIpLy3K934Wai2y3IWShWkpviYYLcVeK9mX+s2rbXqDgMcSyXRt1UizPdiafbhgYc/oIoTw8xzZXHTcuyxPmsn/5+Xux+erCjXrwhYcPomhnVtonqf/4z/gjk/WaG6rDxxxULSi1yPzAfhPPBpVTDJiYu86TT1O9fDR0uzj4wjjT/eNllULuQYabolGhLgoWMDozTEEazJYD9bsmbDT+9EfcI6qJux36+oKM/+oKshcWmGcKEqtccocPVmFb2zmHXGbu8d1c7yvmxPJLR16ZijNLuoHtJawv/Ss9pg6vJNPmzrRl16qXz3s9jdjapDz6Dx/SV/N9mCbG9VzW2yzZ8JGaUU1sqbNRmlFtd9k0sET+vnU1bnLlfbnsT1bRrQZZ4jOW4cVurdu7No4lmwtNu+kgZHASIj33fbjnWdjcKfmGNixGWZMyfa2b1NFMyfpZH/Uw+lbiR7BNKe0SkvGsC6ee948Vd+xIBh8fP1g/H1snXLB3jhM2DjjH/N1tyl/fyO66gvI8qoa9Hh4nnd9cKfmPtkcI4U2kp91IIXJu7RshC9vHurWkByhHL16cjVBdW2dM+ps1crUCEoTHQAkxYfXLuM0VYEVFtw50rusNnsFkxFdW6Brq8b429iu3jZOl8BEPOkNPRqRlqDUCg5atsN9jwqnvHbFAKx8cKz3XSM+gB9cw6QEDOgQmjqiehjJq8Nllbhy8GnedaVwaZWmn3HULH97sLGS5O2/l/tVTLWE0qQYaHyAnYLh708d5F1u38wzAc6aPVNvsPK6LSBw48hOpv1CxYiuGchonOy1z8bZ+CXcf14Pv7Zwuyoanb/kZBUenNTT9jG3mAR0BZvINfoBtymKyDx0fi9Hx/j8xqF47YoBIXuzYGHP4EhZJY7rlPpzyk9b/CNmX9Dw0gkWPTPTDLfLNm55HsHOJNmNIzujkyLaNBIwG32lg0T46RpRtI0tRuO6QSA1i43o0lLb5RKw7hlz1zj/bJl2ad0kBRPOMC5k4yamwp6I2hPRYiLaTEQbiehvUvujRLSXiNZKfxMV+9xPRPlEtIWIxgfzApjAGfDEAvR59Afb+2nlapf52ydrfdZnLN2JvSXuFsD+6e5RutvMfrPqH7WVH/n401uhhzQZG2la51drjMvfNUryCOnbbJQ1/EPfNn5tTtIoOMXK/OzI7vYTtv2osNeridbAP8CaZl8N4C4hRE8AgwHcQkTye8uLQoh+0t8cAJC2XQbgdAATAPyPiOw57DJhxWjiVcncXP/EZ3ocOO5+3pQsA+3a6oSrnOjKimb/+pXZmHfH2dYGF2TsCt24OELB9Em2NNLxp3t895VvMWYxBdcN74ibRna2NTYtRvdoaclmn5aSiB1Pe/VM3DyqMz5Q2MXVPOTAnBUtmAp7IUSREGK1tHwCwGYAbQ12mQzgEyFEhRBiJ4B8AAPdGCzjLsdOVaGi2j88f3An37woe46c9EbORhp6KRrMZL0s2+VJSLtm02BUiLLD97cNd/2Y6jmVoV1a4Pf7R/t4rsjLKYnaouOh83uhUbI13U7P5XFsz1Z4++qz0L6ptfKFSpv39+v3GZp/AvG6knnnmrP82sxKTQLASw4nk93Cls2eiLIA9AcgV564lYjWE9HbRCTXMmsLYI9it0IYPxyYMNH3sR9w0f9+865nTZuNmb8V+PUb8exiDHp6YQhHZh09bwyt6M9hXeoeYuq6n+GeYLVLexfruA7q2AyAtsDKbNLAR0C2TW+AgumTsPyBsbqBaLLw7WpgGwf0I3RrpNw0vTVKBpqx58gpNG2o7zfvxl0epfE5vXlVXbyC3ptxqs2IZLexLOyJqBGALwHcIYQ4DuBVAJ0B9ANQBOAFuavG7n6PWiK6gYhyiCinuNhZIAnjnG2Sp8XGfb6+1f+YtTEcw3FMok7gT8Mk/4nEBIXLjSy/5PS/ekLg+hHBjeIMBKMso3aQg67s5P9q0iARt47u6tP2x/4enU42iZlNsOoVs1Gn4bBD4+QEpFp8s3CKlmKgDEB79A+na+53tgXtP5hYEvZElAiPoP9QCPEVAAghDgghaoQQtQDeRJ2pphCAslROOwB+sfBCiDeEENlCiOyMjPB+CLFIcWnwco87wUwL1EPrrXxsz5Z4WMMdTlkFSv7BJkuZD/Vs9r3bafvPy/t/fpO9jJdu4pYlSb72QLM9pjf0zCPEe4W9cX+9eRzZlVcvvYYR8fFkrNkH8Q1umuSSm9E4GZec2c5nW9v0Bq6nk7CLFW8cAjADwGYhxL8U7UqfoT8CyJWWZwG4jIiSiagjgK4AVrg3ZMYNjL54Rn7z/YMUPETkzJ6qtc9bU87yKxABAGWVdUFC8l7HpZJwejKgfVPjzI+h9E5R888/9XHlOHKErdF9//624XjtigGGx5Ft8LIZx+zhcUZbbfdYWaN/aFJPPGLRh13O0NmuaQOkN0zE+X0yNR/EWt/fyf38vY6ccOPZnbDj6YlIS0nEMxf19tlmN/VEMLAygmEArgQwWuVm+SwRbSCi9QDOAfB3ABBCbATwGYBNAOYBuEUIEfzaXowtWjXWj5w0ErqntzH2X7fCoxf0woWqH1gcEZo5yFGSoVP3VEuDG9WtpWK7578c6aun2evVVd15qMyvrbVBNGowOPO0puadLBAvmbeMhP0ZbZtY9gk/Q/qO9G9vPL42TbQfpLXSOFKTE3CtxehUeXK5b7t0EBFe/vMAnJXVzKdPzkNj0UfjTe2JC8+wdA4ziMj7oFMXjFGnrAgHVrxxlgohSAjRR+lmKYS4UgjRW2r/gxCiSLHPU0KIzkKI7kKIucG9BMYJRknJ9IT920t3ouRk4MFXU4ZmITXZ16ZeUV3ryMPFzmv5PEWNXHm/RtI4GupMniXreJ3IKGMH/jKog+WxuIHepdsVK3KQUdMAE4LJz4pBnZpj+QNjfNIua6FV/xUAaix+D/oqJnDJGySnzZJ7Ruk+uPXMRaMc+PDrYbVaWDAJ/wiYoCGEwKK8A5rBT0a/Jz0l5PHvN+H79UXaG21ARLhYZdOsrK7VtPEqPWiCid5Dw8yMfbKi7qX15lGB+5e7gd1H5l3juuH9qQP9NGG7KD25jHLuyOgJdavZLpVxFrKicEqnQLiTNMLPumQmA/yTzIUDFvZRRnVNLW7/eA027TuOV5dsx7Xv5uAJRZ1YGSNPCbVbYjDo38H3Fb9FoyTU1Aq/4tjn9vQtsBEIsouhFnoPuETJU2WgjiBUCqxQa29W71Oyib04MT4OI7oGrsUeVgVcDeroeVC/8mdtW79aB5FNHVZ81gHf5HVyLd+vdSKJzfLPTOrtb6IKdDJX77rDBQv7KGPHoTLMWrcPE1/6Bc/O2wIAmPn7LszLLUKZorjI+sJjeocIC/FxhFoh8CeVxq/8kVqN7NXjuhH6idi0BOel2e3RvFEyCqZPwmc6XjdWA4jcpGD6JM+CjixSm8OSwmRCaJqahILpkzCpT6amSadG9dok55dXpmA2QvnduELK6qlnSjMzmb94aT+seHCM3z5P/7G34wC2SX1Cl/fGCizsowy97/RNH6zGtK82eNeX79RPNzw3N3BTjV2ICEJ4XrevHprl0y5z7bCO+G3aaEfHv/+8HprauSwYSeOXcG4v/bcK2QunV6Z54I+ebdpNOiiCrNQvbZP7u+NtYkYPgyIu3Vt5Jm1lU9fAjs1QXeM70LvGdcODE3viAo2cPEr+fWk/AHXzLYDHx/+tq7LxmI6Pu555RyYpIQ4tVU4L8XGEPw/q4JPzvz7Dwj7KMHrz3H2kruqU0WTo6t0luttG92ipuy0QjpRVorSiGodKK5CSWKctKzWyuDhCG40i2B9ep58LRaZVWophGmOtj23fMf3EbfKErpXJxFJFXninWSO1JpCV9/rZi/Xty+eFKLOiUVKyW0d3wZc3D8V9E3rgzauy8f7UgX5BU8kJ8bj+7E5+DgK3j/EN3jq/TybuHtcN94yvy/NDRBjbq5WuKa2Rg8/9pMkDor7Bwj7qMJD2CsFkZQJN+xDByQkjuzJ+u3afz+u9cmJN71Vcfv0HgDeuPFP3HHYn6YwmCmWBVGthMvGEwnw2pJP2hLPaD1vtpy3nAFIH68go507BDLIAAB5KSURBVGDUIwpVJoi2Gg9imfg48rqKnturFZIT4i1PxGarXEwT4uNw6+iufh5dRlg1ZXXKqJv0VR5f+WCRuXxgB812La4ZlmWpXzBhYR9lGP2wjygKYzv10Q5iWVAvyrwvPpq9wcWdJgVR6b1yt0pLMfxstCbjurbUN0skeAOH7H0getegFkbqdXm/sxSTzMojpSrSQ6ifx6EoaD2sS3NcMeg0844K1MJezx1YmWbgkxsG2x8crJcenHVrnX1emcvmNI0gvWcu6o1bzrGWMtrouxQqWNhHGUZf6T1H6swSTos5Oy2IbQel0FAKLiOZNfOagbh9TFdN+/hzF/fBkM7NbQs9I/kgexPp+efroTeERJN6r17ThuLzUNqse2TWCZN+qijRUCj2fxrQznbFJav+9ACw4oEx+PLmoX4ZWa1iteyk8jNVmpMCVXL0ooVDSejKzjAhwaq72M/bIjf5nFJoLMqrq3hl5GqY1SIVd56rnYUxo7EnmMaugmv0WT5zUW9cMyzLtjlMT76ZuW2SV9YLRRvhg6mD8P6yAiQn1D10/tC3DVo1Tsalbyzz9gsWk/pkYvb6Ikdup2qFw+j+tkxLQcsAIpSdpOJQfm5OzZf5T52HgsMnDatjhQrW7KOI4+VVun7GMq8t2Q4AeOfXghCMKHDi4wj92ns0VacR57JA1hImsneIli+6kYxMSYzXDL03Q8scAAAX9PH1QFGfW09YDe/aAq9fme3XrpzIDmbuffnYTu6NOuulUVR3oITClKVFQnxcRAh6gDX7qMJKacHpc/NcqSQUKpQTl04LM8sapNbut47u6peq13u+IAiIjhrVtQZ0SEc7VcK1MT1bIS0lAcclTx5ZMFo1JyhTAARzmkWeS3fyWQWrxqwWgeamkYeqVaqxvsCaPeMKcnpbtyk8esorrALNJWXFnKFMtbxi5+HATqg5Bv+27q3T/K6tSYNEzL59hHf913zPWL5b55ctXJMmivsRTJlaG4Bm73TeyAlOFYVogoV9PWb5jsPImjYbBRoZGENF89QkbHlyQtBCw1ftOqpYc/aDlQWs2e99zcPn+nhjHCo1rrdqh/sm9ECvzDS0VmR6bCNNJv+hbxvNB5GWgDqh8Nm3SqVBYfhAkeW1k3kBdVCV1UnUYBMsxSXcsBkngjlwvBylFdW64ePfrPVoeb9uP2RYfDuYpCTGIzkh3kcMd2jW0CeAyy2cygLZVm8mkNRZH7cXlzo7oQY3j+rsnR8474zWmHBGa0zuV1etM2+/f6IsrdE6sWuv31NiOd+MXWQvIidmEqXb6gMTe0SMbXvtI+PCPYSgwMI+gpHrvnpzoahIkn5oVdXB09zMGCj5fSsF6ZmnNdUV9p0znD+UQq33bZVKN7rNq1f4B35pmVq0nk25e+1nT3QaQGeFJy48A+2aNsCo7vYjq5U2+xvOjux5pLQGHlHZKk07TXJ9gIV9PaZK0ozCWWJQjvRUCiYj7w+tdAdK1JWfOrZIDdjobJQmwYhQBsLIV9gzMw3T5c/Upcfb6J7BSXEBeIq7PDjJWjUpNS0b1x/BeU73lvjX//WNuORmdmCbfT1mzgZPwrJXFm8P2xjkPDZKsbS5SF8jNpuUO3bKtziK0uUwmP7iWgQrD5AW8gNySKfm6Bugq6kavaId4SZbSkx3ncVqVOGEiHDRgHY+8Qz1DRb29Ri5apS6xJ8dPphqnkTMCsrJxC0G5g8zd7uemZ5Iw2uHeQRAIAU1ZN95py8GoawbKrwTnYpGDWFvZ/Lwrauy8anD9AKhxEnAE2MfFvZRQEJ8nKWEXDJZ02Z7l4cHmCNexurP1UzwPj7Zk6L2ppGd0LRhok+6Y7s4qWmrxKzoh1WsJOHScmFs1rBu/PIEq53Sh2N7tcIgh+kFooV7xnc3TL0cS7Cwr8dcdlZ7AJ6MiP/7KT9o51ELXPm8SqxaWJSavVYmQNkdr2VaCtY8Mg7dFT9Uu5GgRcfKAQB7j+qnKjYiOdH5K/tfR3X2ZuDsoBM1q6QulqDug1SmIHj9yjPx0fWDcPc4a1kWGQ+3nNMF8+44O9zDiAh4grYekxAvuxQCz/+wNWjnaZPu682hLNwtY2RP3/T4eCzZUoybP1ztEwGqFU2qDqEH6kxEdmNwZBfQds2MJ4X1cKLZt01vgN5tm+DeCT0AeEwpfdqbF7/wPgT1iogTMLSzO29hkUboQqtiGxb2UUKz1CQcKXMvCEhJlSr4peRkFR6c2NNH6zZS7BsmJXiTWCknaLX20cqEKAfb2I24TEmMk87jzCbsRNj/qqqkNdag2pUdIiXgyE2i74oiG9NvMxG1J6LFRLSZiDYS0d+k9mZEtICItkn/m0rtREQvEVE+Ea0nosiquhtFyHKxvKomaIIe0M59f/3ZnXzyjJt5yshavFwrFAC+X+9f/vBsjcLX8gSeXWEve3uo3TmtEsoJWjPClcgrmLSV8gEp6xcwwcOKZl8N4C4hxGoiagxgFREtAHA1gIVCiOlENA3ANAD3ATgPQFfpbxCAV6X/jENOVlajYZL/rZJF39Nz8oJ6/gwL/tC5e40LmDeTik8r2bTPP0BIyzPj6Yt64+VF+bYLrjx6wem4emgWWjusAevWBK0bRGNul0m9M9HsuiQM6Rzbk8ihwvTbLIQoEkKslpZPANgMoC2AyQBmSt1mArhQWp4M4D3hYRmAdCKqv5EILiGEcJxqttcj83WOGciIrJNoISpJq/jGvRO64zmD2qhWldXOGY3w4qX9bGvaSQlx6NbKuSdGUnz99amuDxARhnZpEfL4iVjF1q+HiLIA9AewHEArIUQR4HkgAJAjUNoC2KPYrVBqUx/rBiLKIaKc4uLILaThFh3vn4O7PlsX8HFeX7IdP0gTpBVVdQWRz8pyVmbQCu2aNsDFOrVPZZR1YGW6t2qMS7L9PXdkjjtI6gUA/7msH2ZM8c/h7jaJCaETQt55BZ6tZIKEZWFPRI0AfAngDiGEUYIO7fxN6gYh3hBCZAshsjMygpOkKdL4yqSwiBHHpACqZ+bm4Yb3V/kdzzc7pDWmDDGvGdqjdWPExZGhhg5om1+ClcJ2cr+2GNPTnYlP7eN7gtQymzjz4nECK7dMsLEk7IkoER5B/6EQ4iup+YBsnpH+y/XjCgEo1bl2AKwl4Y5S7AQ86fHb9kM+6+8v2+V7DgensFLPU37FNnvV1hL2ai8eM+6T3BXDzX8u64+C6ZMcT+w6Qf74QlnQg4ktrHjjEIAZADYLIf6l2DQLwBRpeQqAbxXtV0leOYMBHJPNPbHKzsOB55tX1/h8+JvcgI95pgXTz+Yi/5c4rYhE2TWwqSKcv1xhZtIiSxVs9OeB1qNDo41mqZ5JcHWa5Wcu6o2+7cz99BnGDCveOMMAXAlgAxGtldoeADAdwGdENBXAbgCXSNvmAJgIIB/ASQDXuDriesjyHUcCPsb+4+V+2n2gNE4211wzNTxZtLR42TVQqZdWmKRevnNcd9z+8RrveiS5Ooaai/q3hRACF/b3nd66fGAHXB7DD0HGPUyFvRBiKfTjH8Zo9BcAbglwXFGFVlSomoMnypHRKNlrLlHb4P+7cBsOnnA3lXGDJHNvk/SG/vllxvVq7dcmW3mUJqvKamPNvqzCd4JWy6MnVoiLI8PJbIYJlNhVpUKIme03d+8xDHxqIT7PKfS2qQtnuCXo7SYH03IXvW10F782cqDZK/OZF0yf5GeqYhjGPfjXFQIqdDTcrGmzkTVtNj5cvhsAsKKgztwTjBzkfx/bDRdKpfCmnWdtMnScRri/VoBPqvSWoJxkNRP2IzSiZRmGCQ6cGycEmAm9j1d4hH2ipNl+tnIPdh1xPqk7Y0o2ps7M8WufOqIjGibG465x3ZCabH7rVz98LtIteqQkxMd5I2QfkiaP9R5yMpzHnGFCBwt7FymvqsHGfcf9wvorqqzViJWLNt/75fqAxqH0QR/ZLQNLtnqC1uLIo5VbEfRA4Pngza5blvWRlJaAYaIV/pW5yKOzNuJPr/6GXZKr5Wc5e5B/sNRUw5UJhqL77jVneZfdqmlqFbO5CiLCfRN6YNatw0M0IoaJXVizd5FNkk96yckqnNYcuPeL9UhOiMP1Izp5++wrOaVbdNvNHCEfXz8YLdOSfY7ptPC2Xc48rSlW7TqKszqalxS8eVTnEIyIYRgW9i6yvtCT+fFwWYU3VUBFda2PZp9g4F7oZhpbrUyCdo7fVueBZIUGUoUnKy6noeaFS/oikc1GTAzCwj4IrCw4iiGd6hKDKSdodxSXoWXjFM2UwMEOlQ+VEUf2l49EYf8nk4RuDBOtsIoTBI6dqsI9X9RluFSmDZCXH9JId/DubwX4dOVuW+d6aFJPy31DVQDjkQtOx9ndMnweeAzDhBfW7IPAR8t9BbZSs1+ytRiz1u7TzQh535cbbJ1rytAsPDl7s6W+ZgUwWqelYP9xT5FurefCm1dlW8rJ37FFKt67dqClMTEMExpY2IcApQviO78WAACSXIoWVdcm/UPfNo6PpXwWaAn7c12qp8owTOhhM04AlFVU47n5eag0CZoqq/Qv0lHpkj1bra2/eGk/x8dSeu6E2k2TYZjgwsI+AK6bmYNXFm/HN2uNi5L8ss3dbJVGaEWlWk0wdk4PZQFx14bEMEwEwMI+AH7fcRgAsGZ3ScjPTQTT6lEyP/x9JF68tK9pv39ccDoW3TUSDZPiMS1CCokwDOMObLN3gd0B5LExY94dIzDh37/4tV8x6DTLKXE7tkhFxxaputu/u3U45m/cj8T4OHTKaIRNj09wPF6GYSIT1uxdoE2TBkGrt9o8VTv75Ucr7LloGtG7XRPcPb67a8djGCbyYGHvAkO7NMftn6wx7+gAoarV3q99OoDgFfNmGCY6YWHvAmUVNZi9PjhldlMSfatJrd0T+vkBhmHqPyzsXeDRWRuDduyGiealA7+8eUjQzs8wTHTAwl6DaV+uxyWv/Wa5f3UQTSpWSvWVW8yXzzBM7MLeOBp8snKP4facgiO4+LXfvetxBITThB6MEoYMw0QXpmojEb1NRAeJKFfR9igR7SWitdLfRMW2+4kon4i2ENH4YA08nCgFPRCe8nqt0uoEfLdWjUJ+foZh6hdWNPt3AbwM4D1V+4tCiOeVDUTUC8BlAE4H0AbAj0TUTQhhrVRThPPIt7nomZnm1x7kzMSa3DWuzlXSzaInDMNEJ6bCXgjxMxFlWTzeZACfCCEqAOwkonwAAwH8brxbZLLrcBlOa14XjPTe77s0+wXTZq9HUUl5yM/JMEz9JZAJ2luJaL1k5pErbLcFoDR4F0ptfhDRDUSUQ0Q5xcXFAQwjeIx87iesL4xMV8fOLfUjYhmGYdQ4FfavAugMoB+AIgAvSO1a9gRNtVcI8YYQIlsIkZ2RkaHVJSLYfeSkX1v/Duk+6/dOCH30aeHRUz7rvds24XquDMPo4kjYCyEOCCFqhBC1AN6Ex1QDeDR5ZcKWdgD2BTbEyEOd+OyLnEJHx9kcQA6aU5W+0yDf3TYc93HyMoZhdHAk7IkoU7H6RwCyp84sAJcRUTIRdQTQFcCKwIYYXuS87ifKq3T77DjkLBFag6S6gKl5d4zwLmc09njaZDVvqLuv3IdhGMYKphO0RPQxgFEAWhBRIYB/ABhFRP3gMdEUALgRAIQQG4noMwCbAFQDuKW+e+I8Oz8Pk/pk4vI3l7l63LvHdfNZ79G6zstn5YNjTfcf2rm5q+NhGCa6seKNc7lG8wyD/k8BeCqQQUUSuw6fRL/Hf0DJSX3N3gm3ju7q1/bhdYOQf7DUrz37tKbI2XUUo3u0xKK8gwCAZAtpFBiGYWQ4XYIF3Bb0rdNSNNuHdWmBKUOz/Npfv/JMNE9Nwp3n1r0NWK0+xTAMA3C6BC+HSyuwcd9xnN0t+J5BN43s5F3u2z4dI7q0MOzfvFEyVj18rk9bYhw/pxmGsQ4Le4m/vLUceftPIPcxdzI8/HjnSGQ2ScGO4jJc8PJSn23tm9VNvH57yzBHx09MYGHPMIx1WGJIbDlwAgDw1OzNrhyvY4tUpCYnoHe7Jt422bumVxv/lAt2SWFhzzCMDVizB5C3/7g3v82+klPGnS2ilRxt0V2jcOxUFZqmJjk+7tpHzsX+4+WWUh8zDMPIsLAH8MmKugwPp6qC5ykaF0cBCXoASG+YhPSGgR2DYZjYI+aF/UPfbMAHy+qKd6/YeSSMo2EYhgkOMW8LUAp6hmGYaCXmhT3DMEwsENPCvromsNqt7107EL/ce45f+9y/jdDozTAMEz5i2mb/yKyNAe2vF4ClVc2KYRgmnMS0Zj9nQ5HjfXu3rfOfb8kZKBmGiXBiWrMPpHbsjKuzvctL7jkHOw6VYtJLS/GPC3r59f3qr0NRXROGQrUMwzASMS3sA6Fl47pkZg2S4nF6myYomD5Js++ADk012xmGYUJFTJtxGIZhYoWYFvbCoR1nbM+WLo+EYRgmuMS0sHfCiK4t8MaV2eYdGYZhIoiYFvZ6ev3401vp7pPVPBVxGknOGIZhIpmYFvYnyqs12+dvPKC7zxCu/cowTD0k5oR9Ta3A/mPleOTbXL9tZlWqLj6zHSb2zgzW0BiGYYJGzLle/nNeHt74eYfmtkbJxkW8OygqTDEMw9QnTDV7InqbiA4SUa6irRkRLSCibdL/plI7EdFLRJRPROuJaEAwB2+XlQVHdAU9ACSZFATp3yHd7SExDMOEBCtmnHcBTFC1TQOwUAjRFcBCaR0AzgPQVfq7AcCr7gzTHS557XfD7ftKyr3Lc24fgXeuPguXD+zgbRtuUhicYRgmUjEV9kKInwGoK3pMBjBTWp4J4EJF+3vCwzIA6URUb4zcKwrqLrNXmzSc06MlhnWpm5AlYi8chmHqJ04naFsJIYoAQPovRxm1BbBH0a9QavODiG4gohwiyikuLnY4DPdY8cAYzfZmXAKQYZgowG1vHC3VV9OdXQjxhhAiWwiRnZFh7AUTCL9tP4SPlu9GZbVx7vqWaSma7a2baLczDMPUJ5wK+wOyeUb6f1BqLwTQXtGvHYB9zocXOH9+czke+HoDKi0UKpHTFr91VV2EbAanL2YYJgpwKuxnAZgiLU8B8K2i/SrJK2cwgGOyuSfcHCmt1N3WOSMVABAvRcY2Ta0z3TROSQzuwBiGYUKAFdfLjwH8DqA7ERUS0VQA0wGcS0TbAJwrrQPAHAA7AOQDeBPAX4MyagekJOlfavfWjQEAXVs2AgA0aeAv4FulsYbPMEz9xTSoSghxuc4mvxlN4UkjeUuggwoGRsVD+rbz+M8/ceEZmNyvLbpIQl9GL089wzBMfSGq0yUcKq3wLg+dvki33/UjOgEAUhLjMbwr+9IzDBN9RLWwv+Kt5Zb6cRZLhmGinagW9nn7T4R7CAzDMBFBVAt7K2x8bHy4h8AwDBN0olbYV1vwq7+wXxukJsdc4k+GYWKQqBX2XR6ca9qndzvOYskwTGwQtcLeCuVVNeEeAsMwTEiIaWE/4YzW4R4CwzBMSIhpYS/046wYhmGiipgS9lufPM9nPS2FJ2cZhokNokra1dQKfLJyN/4vu71Pe3JCHH6+9xwkJcThgYk90CApAWN6tNRNa8wwDBNtRJWw/2LVHjz4dS5KTlZ52+4/rwduHNnZu37D2Z21dmUYholqosqMU1rh8a5Zs7sEAHDjyE4+gp5hGCZWiSphXyUFUv24+QAAYN2eknAOh2EYJmKIKmE/fW6ez3r+wbIwjYRhGCayiCphr0aZ4phhGCaWiWphzzAMw3iIamGf89DYcA+BYRgmIohqYd+iEdeNZRiGAaJY2PeQiogzDMMwUSzs371mYLiHwDAMEzEEFEFLRAUATgCoAVAthMgmomYAPgWQBaAAwP8JIY4GNkxz5HTF7Zs1wPSL+qB1E06FwDAMI+OGZn+OEKKfECJbWp8GYKEQoiuAhdJ60Bn+z0UAgPQGSRjWpUUoTskwDFNvCIYZZzKAmdLyTAAXBuEcfhwqrQQAbNh7LBSnYxiGqVcEKuwFgB+IaBUR3SC1tRJCFAGA9L9lgOewxcTeXJCEYRhGTaBZL4cJIfYRUUsAC4goz3QPCenhcAMAdOjQIcBh1PHipf1cOxbDMEy0EJBmL4TYJ/0/COBrAAMBHCCiTACQ/h/U2fcNIUS2ECI7IyMjkGEAAAZ08BQPT06ID/hYDMMw0YZjYU9EqUTUWF4GMA5ALoBZAKZI3aYA+DbQQVqhY4tGaM3FSBiGYTQJxIzTCsDXRCQf5yMhxDwiWgngMyKaCmA3gEsCH6YxczYU4cvVhcE+DcMwTL3FsbAXQuwA0Fej/TCAMYEMyi5//XB1KE/HMAxT74jaCFqGYRimDhb2DMMwMUC9F/alFdXhHgLDMEzEU++F/Wcr94R7CAzDMBFPvRf2S7YWe5ffuirboCfDMEzsEmgEbdhp3igJAPDtLcPQt316mEfDMAwTmdRrzf5kZTW+Wr0XANC+WcMwj4ZhGCZyqdfC/pFvN3qXGyXX+5cUhmGYoFGvhf1pCm0+KaFeXwrDMExQqdfq8G1juiI1OQF7S06FeygMwzARTb0W9gBw7fCO4R4CwzBMxMO2D4ZhmBiAhT3DMEwMwMKeYRgmBmBhzzAMEwOwsGcYhokBWNgzDMPEACzsGYZhYgAW9gzDMDEACSHCPQYQUTGAXQ53bwHgkIvDqQ/wNccGfM2xQSDXfJoQIsNKx4gQ9oFARDlCiJhKZM/XHBvwNccGobpmNuMwDMPEACzsGYZhYoBoEPZvhHsAYYCvOTbga44NQnLN9d5mzzAMw5gTDZo9wzAMYwILe4ZhmBigXgt7IppARFuIKJ+IpoV7PHYgovZEtJiINhPRRiL6m9TejIgWENE26X9TqZ2I6CXpWtcT0QDFsaZI/bcR0RRF+5lEtEHa5yUiotBfqT9EFE9Ea4joe2m9IxEtl8b/KRElSe3J0nq+tD1LcYz7pfYtRDRe0R5x3wkiSieiL4goT7rfQ6L9PhPR36XvdS4RfUxEKdF2n4nobSI6SES5irag31e9c5gihKiXfwDiAWwH0AlAEoB1AHqFe1w2xp8JYIC03BjAVgC9ADwLYJrUPg3AP6XliQDmAiAAgwEsl9qbAdgh/W8qLTeVtq0AMETaZy6A88J93dK47gTwEYDvpfXPAFwmLb8G4GZp+a8AXpOWLwPwqbTcS7rfyQA6St+D+Ej9TgCYCeA6aTkJQHo032cAbQHsBNBAcX+vjrb7DOBsAAMA5Cragn5f9c5hOt5w/xAC+KCHAJivWL8fwP3hHlcA1/MtgHMBbAGQKbVlAtgiLb8O4HJF/y3S9ssBvK5of11qywSQp2j36RfG62wHYCGA0QC+l77IhwAkqO8rgPkAhkjLCVI/Ut9ruV8kficApEmCj1TtUXuf4RH2eyQBliDd5/HReJ8BZMFX2Af9vuqdw+yvPptx5C+UTKHUVu+QXlv7A1gOoJUQoggApP8tpW5612vUXqjRHm7+DeBeALXSenMAJUKIamldOU7vtUnbj0n97X4W4aQTgGIA70imq7eIKBVRfJ+FEHsBPA9gN4AieO7bKkT3fZYJxX3VO4ch9VnYa9kl650fKRE1AvAlgDuEEMeNumq0CQftYYOIzgdwUAixStms0VWYbKs31wyPpjoAwKtCiP4AyuB59daj3l+zZEOeDI/ppQ2AVADnaXSNpvtsRtivsT4L+0IA7RXr7QDsC9NYHEFEifAI+g+FEF9JzQeIKFPangngoNSud71G7e002sPJMAB/IKICAJ/AY8r5N4B0IkqQ+ijH6b02aXsTAEdg/7MIJ4UACoUQy6X1L+AR/tF8n8cC2CmEKBZCVAH4CsBQRPd9lgnFfdU7hyH1WdivBNBVmuFPgmdiZ1aYx2QZaWZ9BoDNQoh/KTbNAiDPyE+Bx5Yvt18lzeoPBnBMeoWbD2AcETWVNKpx8NgziwCcIKLB0rmuUhwrLAgh7hdCtBNCZMFzvxYJIf4CYDGAi6Vu6muWP4uLpf5Car9M8uLoCKArPJNZEfedEELsB7CHiLpLTWMAbEIU32d4zDeDiaihNCb5mqP2PisIxX3VO4cx4ZzIcWFyZCI8XizbATwY7vHYHPtweF7L1gNYK/1NhMdWuRDANul/M6k/AXhFutYNALIVx7oWQL70d42iPRtArrTPy1BNEob5+kehzhunEzw/4nwAnwNIltpTpPV8aXsnxf4PSte1BQrvk0j8TgDoByBHutffwON1EdX3GcBjAPKkcb0Pj0dNVN1nAB/DMydRBY8mPjUU91XvHGZ/nC6BYRgmBqjPZhyGYRjGIizsGYZhYgAW9gzDMDEAC3uGYZgYgIU9wzBMDMDCnmEYJgZgYc8wDBMD/D9pwksMstgtRgAAAABJRU5ErkJggg==\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "def running_average(x,window):\n", + " return np.convolve(x,np.ones(window)/window,mode='valid')\n", + "\n", + "plt.plot(running_average(rewards,100))" + ] + }, + { + "source": [ + "## 调整超参数并观察结果\n", + "\n", + "现在，我们可以实际看看训练好的模型是如何表现的。让我们运行模拟，并采用与训练时相同的动作选择策略：根据 Q-Table 中的概率分布进行采样：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "obs = env.reset()\n", + "done = False\n", + "while not done:\n", + " s = discretize(obs)\n", + " env.render()\n", + " v = probs(np.array(qvalues(s)))\n", + " a = random.choices(actions,weights=v)[0]\n", + " obs,_,done,_ = env.step(a)\n", + "env.close()" + ] + }, + { + "source": [ + "## 将结果保存为动画 GIF\n", + "\n", + "如果你想给朋友留下深刻印象，可以将平衡杆的动画 GIF 图片发送给他们。为此，我们可以调用 `env.render` 来生成图像帧，然后使用 PIL 库将这些帧保存为动画 GIF：\n" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "360\n" + ] + } + ], + "source": [ + "from PIL import Image\n", + "obs = env.reset()\n", + "done = False\n", + "i=0\n", + "ims = []\n", + "while not done:\n", + " s = discretize(obs)\n", + " img=env.render(mode='rgb_array')\n", + " ims.append(Image.fromarray(img))\n", + " v = probs(np.array([Qbest.get((s,a),0) for a in actions]))\n", + " a = random.choices(actions,weights=v)[0]\n", + " obs,_,done,_ = env.step(a)\n", + " i+=1\n", + "env.close()\n", + "ims[0].save('images/cartpole-balance.gif',save_all=True,append_images=ims[1::2],loop=0,duration=5)\n", + "print(i)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/8-Reinforcement/README.md b/translations/zh-CN/8-Reinforcement/README.md new file mode 100644 index 000000000..f13cbcfa9 --- /dev/null +++ b/translations/zh-CN/8-Reinforcement/README.md @@ -0,0 +1,58 @@ +# 强化学习简介 + +强化学习（RL）被认为是与监督学习和无监督学习并列的基本机器学习范式之一。RL的核心是决策：做出正确的决策，或者至少从决策中学习。 + +想象一下，你有一个模拟环境，比如股票市场。如果你实施某项规定，会发生什么？它会产生积极还是消极的影响？如果发生了消极的事情，你需要接受这种_负强化_，从中学习并调整方向。如果是积极的结果，你需要基于这种_正强化_继续发展。 + +![彼得与狼](../../../translated_images/zh-CN/peter.779730f9ba3a8a8d.webp) + +> 彼得和他的朋友们需要逃离饥饿的狼！图片由 [Jen Looper](https://twitter.com/jenlooper) 提供 + +## 地区主题：彼得与狼（俄罗斯） + +[彼得与狼](https://en.wikipedia.org/wiki/Peter_and_the_Wolf) 是由俄罗斯作曲家 [谢尔盖·普罗科菲耶夫](https://en.wikipedia.org/wiki/Sergei_Prokofiev) 创作的一部音乐童话。故事讲述了年轻的先锋彼得勇敢地走出家门，来到森林空地追逐狼。在本节中，我们将训练机器学习算法来帮助彼得： + +- **探索**周围区域并构建最佳导航地图 +- **学习**如何使用滑板并保持平衡，以便更快地移动 + +[![彼得与狼](https://img.youtube.com/vi/Fmi5zHg4QSM/0.jpg)](https://www.youtube.com/watch?v=Fmi5zHg4QSM) + +> 🎥 点击上方图片收听普罗科菲耶夫的《彼得与狼》 + +## 强化学习 + +在之前的章节中，你已经看到两种机器学习问题的例子： + +- **监督学习**，我们有数据集提供问题的样本解决方案。[分类](../4-Classification/README.md) 和 [回归](../2-Regression/README.md) 是监督学习任务。 +- **无监督学习**，我们没有标注的训练数据。无监督学习的主要例子是 [聚类](../5-Clustering/README.md)。 + +在本节中，我们将向你介绍一种不需要标注训练数据的新型学习问题。这类问题有几种类型： + +- **[半监督学习](https://wikipedia.org/wiki/Semi-supervised_learning)**，我们有大量未标注的数据，可以用来预训练模型。 +- **[强化学习](https://wikipedia.org/wiki/Reinforcement_learning)**，代理通过在某些模拟环境中进行实验来学习如何行动。 + +### 示例 - 电脑游戏 + +假设你想教电脑玩游戏，比如国际象棋或 [超级马里奥](https://wikipedia.org/wiki/Super_Mario)。为了让电脑玩游戏，我们需要它预测在每个游戏状态下应该采取的行动。虽然这看起来像是一个分类问题，但实际上并不是——因为我们没有一个包含状态和对应动作的数据集。虽然我们可能有一些数据，比如现有的国际象棋比赛或玩家玩超级马里奥的录像，但这些数据可能不足以覆盖足够多的可能状态。 + +与其寻找现有的游戏数据，**强化学习**（RL）基于一个理念：*让电脑多次玩游戏并观察结果*。因此，要应用强化学习，我们需要两样东西： + +- **一个环境**和**一个模拟器**，允许我们多次玩游戏。这个模拟器会定义所有的游戏规则以及可能的状态和动作。 + +- **一个奖励函数**，告诉我们每次行动或游戏过程中表现得如何。 + +强化学习与其他类型的机器学习的主要区别在于，在RL中我们通常不知道自己是否赢了或输了，直到游戏结束。因此，我们无法单独判断某个动作是否是好的——我们只有在游戏结束时才会收到奖励。而我们的目标是设计算法，使我们能够在不确定的条件下训练模型。我们将学习一种称为**Q学习**的RL算法。 + +## 课程 + +1. [强化学习和Q学习简介](1-QLearning/README.md) +2. [使用Gym模拟环境](2-Gym/README.md) + +## 致谢 + +《强化学习简介》由 [Dmitry Soshnikov](http://soshnikov.com) 倾情创作 ❤️ + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/9-Real-World/1-Applications/README.md b/translations/zh-CN/9-Real-World/1-Applications/README.md new file mode 100644 index 000000000..53f79ed03 --- /dev/null +++ b/translations/zh-CN/9-Real-World/1-Applications/README.md @@ -0,0 +1,150 @@ +# 后记：机器学习在现实世界中的应用 + +![现实世界中机器学习的总结图](../../../../sketchnotes/ml-realworld.png) +> 由 [Tomomi Imura](https://www.twitter.com/girlie_mac) 绘制的手绘笔记 + +在本课程中，你学习了许多准备数据进行训练和创建机器学习模型的方法。你构建了一系列经典的回归、聚类、分类、自然语言处理和时间序列模型。恭喜你！现在，你可能会好奇这些模型的实际用途是什么……它们在现实世界中的应用是什么？ + +尽管深度学习驱动的人工智能在工业界引起了广泛关注，但经典机器学习模型仍然有其重要的应用价值。事实上，你可能已经在日常生活中使用了其中的一些应用！在本课中，你将探索八个不同的行业和领域如何利用这些模型来使其应用更加高效、可靠、智能，并为用户创造更大的价值。 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 💰 金融 + +金融领域为机器学习提供了许多机会。该领域的许多问题都可以通过机器学习建模和解决。 + +### 信用卡欺诈检测 + +我们在课程中学习了 [k-means 聚类](../../5-Clustering/2-K-Means/README.md)，但它如何用于解决信用卡欺诈相关问题呢？ + +k-means 聚类在一种称为**异常值检测**的信用卡欺诈检测技术中非常有用。异常值，即数据集中的偏离观测值，可以帮助我们判断信用卡的使用是否正常或是否存在异常情况。正如以下论文所述，你可以使用 k-means 聚类算法对信用卡数据进行分类，并根据每笔交易的异常程度将其分配到一个聚类中。然后，你可以评估最具风险的聚类以区分欺诈交易和合法交易。 +[参考](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.680.1195&rep=rep1&type=pdf) + +### 财富管理 + +在财富管理中，个人或公司代表客户管理投资。他们的工作是长期维持和增长财富，因此选择表现良好的投资至关重要。 + +评估某项投资表现的一种方法是通过统计回归。[线性回归](../../2-Regression/1-Tools/README.md)是理解基金相对于某个基准表现的有力工具。我们还可以推断回归结果是否具有统计显著性，以及它们对客户投资的影响程度。你甚至可以进一步扩展分析，使用多元回归来考虑额外的风险因素。以下论文展示了如何使用回归评估特定基金的表现。 +[参考](http://www.brightwoodventures.com/evaluating-fund-performance-using-regression/) + +## 🎓 教育 + +教育领域也是机器学习可以应用的一个非常有趣的领域。这里有许多有趣的问题需要解决，例如检测考试或论文中的作弊行为，或管理纠正过程中的偏见（无论是有意还是无意）。 + +### 预测学生行为 + +[Coursera](https://coursera.com)，一个在线开放课程提供商，在其技术博客中讨论了许多工程决策。在这个案例研究中，他们绘制了一条回归线，试图探索低 NPS（净推荐值）评分与课程保留或退课之间的相关性。 +[参考](https://medium.com/coursera-engineering/controlled-regression-quantifying-the-impact-of-course-quality-on-learner-retention-31f956bd592a) + +### 减少偏见 + +[Grammarly](https://grammarly.com)，一个检查拼写和语法错误的写作助手，在其产品中使用了复杂的[自然语言处理系统](../../6-NLP/README.md)。他们在技术博客中发布了一篇有趣的案例研究，讨论了如何处理机器学习中的性别偏见问题，这也是你在我们的[公平性入门课程](../../1-Introduction/3-fairness/README.md)中学习过的内容。 +[参考](https://www.grammarly.com/blog/engineering/mitigating-gender-bias-in-autocorrect/) + +## 👜 零售 + +零售行业可以通过机器学习受益，从优化客户体验到优化库存管理。 + +### 个性化客户体验 + +在 Wayfair，一家销售家具等家居用品的公司，帮助客户找到符合他们品味和需求的产品至关重要。在这篇文章中，该公司的工程师描述了他们如何使用机器学习和自然语言处理来“为客户提供合适的搜索结果”。特别是，他们的查询意图引擎通过实体提取、分类器训练、资产和意见提取以及客户评论的情感标记来实现。这是 NLP 在在线零售中的经典应用案例。 +[参考](https://www.aboutwayfair.com/tech-innovation/how-we-use-machine-learning-and-natural-language-processing-to-empower-search) + +### 库存管理 + +像 [StitchFix](https://stitchfix.com) 这样的创新型公司，一个向消费者发送服装盒的服务，严重依赖机器学习进行推荐和库存管理。他们的造型团队与商品团队紧密合作：“我们的数据科学家使用遗传算法并将其应用于服装，以预测哪些尚不存在的服装可能会成功。我们将这一工具提供给商品团队，现在他们可以将其作为工具使用。” +[参考](https://www.zdnet.com/article/how-stitch-fix-uses-machine-learning-to-master-the-science-of-styling/) + +## 🏥 医疗保健 + +医疗保健领域可以利用机器学习优化研究任务以及物流问题，例如患者再入院管理或疾病传播控制。 + +### 临床试验管理 + +临床试验中的毒性是药物制造商的主要关注点。多少毒性是可以接受的？在这项研究中，分析各种临床试验方法导致了一种预测临床试验结果概率的新方法的开发。具体来说，他们使用随机森林生成了一个[分类器](../../4-Classification/README.md)，能够区分药物组。 +[参考](https://www.sciencedirect.com/science/article/pii/S2451945616302914) + +### 医院再入院管理 + +医院护理成本高昂，尤其是当患者需要再次入院时。这篇论文讨论了一家公司如何使用机器学习通过[聚类](../../5-Clustering/README.md)算法预测再入院的可能性。这些聚类帮助分析师“发现可能具有共同原因的再入院群体”。 +[参考](https://healthmanagement.org/c/healthmanagement/issuearticle/hospital-readmissions-and-machine-learning) + +### 疾病管理 + +最近的疫情突显了机器学习在阻止疾病传播方面的作用。在这篇文章中，你会看到 ARIMA、逻辑曲线、线性回归和 SARIMA 的应用。“这项工作试图计算病毒的传播率，从而预测死亡、康复和确诊病例，以帮助我们更好地准备和应对。” +[参考](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7979218/) + +## 🌲 生态与绿色科技 + +自然和生态由许多敏感系统组成，动物与自然之间的相互作用尤为重要。准确测量这些系统并在发生问题时采取适当行动（例如森林火灾或动物数量下降）非常重要。 + +### 森林管理 + +你在之前的课程中学习了[强化学习](../../8-Reinforcement/README.md)。它在预测自然模式时非常有用。特别是，它可以用于跟踪生态问题，例如森林火灾和入侵物种的传播。在加拿大，一组研究人员使用强化学习从卫星图像中构建了森林火灾动态模型。通过创新的“空间传播过程（SSP）”，他们将森林火灾视为“景观中任何单元格的代理”。“火灾在任何时间点可以采取的行动包括向北、南、东或西传播或不传播。” + +这种方法颠覆了通常的强化学习设置，因为相应马尔可夫决策过程（MDP）的动态是已知的即时火灾传播函数。阅读以下链接了解该团队使用的经典算法。 +[参考](https://www.frontiersin.org/articles/10.3389/fict.2018.00006/full) + +### 动物运动感知 + +虽然深度学习在视觉跟踪动物运动方面带来了革命性变化（你可以在这里构建自己的[北极熊追踪器](https://docs.microsoft.com/learn/modules/build-ml-model-with-azure-stream-analytics/?WT.mc_id=academic-77952-leestott)），但经典机器学习在这一任务中仍然有其作用。 + +用于跟踪农场动物运动的传感器和物联网利用了这种视觉处理，但更基本的机器学习技术在数据预处理方面非常有用。例如，在这篇论文中，使用各种分类器算法监测和分析了羊的姿势。你可能会在第 335 页看到 ROC 曲线。 +[参考](https://druckhaus-hofmann.de/gallery/31-wj-feb-2020.pdf) + +### ⚡️ 能源管理 + +在我们关于[时间序列预测](../../7-TimeSeries/README.md)的课程中，我们提到了智能停车计时器的概念，通过理解供需关系为一个城镇创造收入。这篇文章详细讨论了聚类、回归和时间序列预测如何结合起来帮助预测爱尔兰未来的能源使用，基于智能计量。 +[参考](https://www-cdn.knime.com/sites/default/files/inline-images/knime_bigdata_energy_timeseries_whitepaper.pdf) + +## 💼 保险 + +保险行业是另一个使用机器学习构建和优化可行财务和精算模型的领域。 + +### 波动性管理 + +MetLife，一家人寿保险提供商，公开了他们分析和缓解财务模型波动性的方法。在这篇文章中，你会看到二元和序列分类的可视化图表，还会发现预测的可视化图表。 +[参考](https://investments.metlife.com/content/dam/metlifecom/us/investments/insights/research-topics/macro-strategy/pdf/MetLifeInvestmentManagement_MachineLearnedRanking_070920.pdf) + +## 🎨 艺术、文化与文学 + +在艺术领域，例如新闻业，有许多有趣的问题。检测假新闻是一个巨大的挑战，因为它已被证明会影响人们的观点，甚至颠覆民主。博物馆也可以通过机器学习受益，从发现文物之间的联系到资源规划。 + +### 假新闻检测 + +在当今媒体中，检测假新闻已成为一场猫捉老鼠的游戏。在这篇文章中，研究人员建议测试结合我们学习过的多种机器学习技术的系统，并部署最佳模型：“该系统基于自然语言处理从数据中提取特征，然后使用这些特征训练机器学习分类器，例如朴素贝叶斯、支持向量机（SVM）、随机森林（RF）、随机梯度下降（SGD）和逻辑回归（LR）。” +[参考](https://www.irjet.net/archives/V7/i6/IRJET-V7I6688.pdf) + +这篇文章展示了如何结合不同的机器学习领域来产生有趣的结果，从而帮助阻止假新闻的传播和造成的实际损害；在这种情况下，动机是关于 COVID 治疗的谣言传播引发的暴力事件。 + +### 博物馆机器学习 + +博物馆正处于人工智能革命的前沿，随着技术的进步，编目和数字化收藏以及发现文物之间的联系变得更加容易。像 [In Codice Ratio](https://www.sciencedirect.com/science/article/abs/pii/S0306457321001035#:~:text=1.,studies%20over%20large%20historical%20sources.) 这样的项目正在帮助解锁难以接触的收藏，例如梵蒂冈档案。但博物馆的商业方面也从机器学习模型中受益。 + +例如，芝加哥艺术学院构建了模型来预测观众的兴趣以及他们参观展览的时间。目标是每次用户参观博物馆时都能创造个性化和优化的体验。“在 2017 财年，该模型预测的参观人数和门票收入的准确率达到了 1%，”芝加哥艺术学院高级副总裁 Andrew Simnick 说道。 +[参考](https://www.chicagobusiness.com/article/20180518/ISSUE01/180519840/art-institute-of-chicago-uses-data-to-make-exhibit-choices) + +## 🏷 营销 + +### 客户细分 + +最有效的营销策略根据不同的分组以不同方式定位客户。在这篇文章中，讨论了聚类算法在支持差异化营销中的应用。差异化营销帮助公司提高品牌认知度、接触更多客户并赚取更多利润。 +[参考](https://ai.inqline.com/machine-learning-for-marketing-customer-segmentation/) + +## 🚀 挑战 + +找出另一个受益于本课程中所学技术的领域，并探索它如何使用机器学习。 +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +## 复习与自学 + +Wayfair的数据科学团队制作了几段有趣的视频，介绍他们如何在公司中应用机器学习。值得[看看](https://www.youtube.com/channel/UCe2PjkQXqOuwkW1gw6Ameuw/videos)！ + +## 作业 + +[机器学习寻宝游戏](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/9-Real-World/1-Applications/assignment.md b/translations/zh-CN/9-Real-World/1-Applications/assignment.md new file mode 100644 index 000000000..50491247f --- /dev/null +++ b/translations/zh-CN/9-Real-World/1-Applications/assignment.md @@ -0,0 +1,18 @@ +# 一个机器学习寻宝游戏 + +## 说明 + +在本课中，你学习了许多通过经典机器学习解决的真实案例。虽然深度学习、新技术和工具的应用，以及神经网络的使用加速了这些领域工具的开发，但使用本课程中的经典机器学习技术仍然具有重要价值。 + +在这个任务中，假设你正在参加一个黑客马拉松。利用你在课程中学到的知识，提出一个使用经典机器学习解决本课中讨论的某个领域问题的方案。创建一个演示文稿，讨论你将如何实现你的想法。如果你能收集样本数据并构建一个支持你概念的机器学习模型，还可以获得额外加分！ + +## 评分标准 + +| 标准 | 卓越表现 | 基本达标 | 需要改进 | +| -------- | ---------------------------------------------------------------- | --------------------------------------------- | --------------------- | +| | 提交了一个PowerPoint演示文稿 - 构建模型可获得额外加分 | 提交了一个非创新的基础演示文稿 | 工作不完整 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/README.md b/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/README.md new file mode 100644 index 000000000..190ec0817 --- /dev/null +++ b/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/README.md @@ -0,0 +1,174 @@ +# 后记：使用负责任的AI仪表板组件进行机器学习模型调试 + +## [课前测验](https://ff-quizzes.netlify.app/en/ml/) + +## 简介 + +机器学习正在影响我们的日常生活。人工智能正在逐步渗透到一些对个人和社会至关重要的系统中，例如医疗、金融、教育和就业领域。例如，系统和模型参与了日常决策任务，如医疗诊断或欺诈检测。因此，随着人工智能的快速发展和广泛应用，社会对其的期望也在不断变化，同时相关法规也在逐步完善。我们经常看到人工智能系统未能达到预期的领域，它们暴露出新的挑战，而各国政府也开始对人工智能解决方案进行监管。因此，分析这些模型以确保其为所有人提供公平、可靠、包容、透明和负责任的结果是非常重要的。 + +在本课程中，我们将探讨一些实用工具，这些工具可以用来评估模型是否存在负责任的人工智能问题。传统的机器学习调试技术通常基于定量计算，例如总体准确率或平均误差损失。然而，想象一下，当您用于构建这些模型的数据缺乏某些人口统计信息（如种族、性别、政治观点、宗教）或这些人口统计信息被不成比例地代表时会发生什么情况。如果模型的输出被解释为偏向某些人口统计信息，这可能会导致这些敏感特征组的过度或不足代表，从而引发模型的公平性、包容性或可靠性问题。此外，机器学习模型通常被认为是“黑箱”，这使得理解和解释模型预测的驱动因素变得困难。这些都是数据科学家和人工智能开发者在缺乏足够工具来调试和评估模型的公平性或可信度时面临的挑战。 + +在本课程中，您将学习如何使用以下方法调试模型： + +- **错误分析**：识别模型在数据分布中错误率较高的区域。 +- **模型概览**：对不同数据群体进行比较分析，发现模型性能指标中的差异。 +- **数据分析**：调查数据是否存在过度或不足代表的情况，这可能导致模型偏向某些数据群体。 +- **特征重要性**：了解哪些特征在全局或局部层面驱动模型的预测。 + +## 前提条件 + +作为前提条件，请先查看[开发者的负责任AI工具](https://www.microsoft.com/ai/ai-lab-responsible-ai-dashboard) + +> ![负责任AI工具的动图](../../../../9-Real-World/2-Debugging-ML-Models/images/rai-overview.gif) + +## 错误分析 + +用于衡量准确性的传统模型性能指标通常基于正确与错误预测的计算。例如，确定一个模型89%的时间是准确的，误差损失为0.001，可以被认为是良好的性能。然而，错误通常不会在您的基础数据集中均匀分布。您可能获得89%的模型准确率，但发现模型在某些数据区域的失败率高达42%。这些特定数据群体的失败模式可能导致公平性或可靠性问题。因此，了解模型表现良好或不佳的区域至关重要。模型中错误率较高的数据区域可能是重要的数据群体。 + +![分析和调试模型错误](../../../../9-Real-World/2-Debugging-ML-Models/images/ea-error-distribution.png) + +RAI仪表板上的错误分析组件通过树形可视化展示模型失败在不同群体中的分布情况。这有助于识别数据集中错误率较高的特征或区域。通过查看模型大部分错误的来源，您可以开始调查根本原因。您还可以创建数据群体以进行分析。这些数据群体有助于调试过程，以确定为什么模型在一个群体中表现良好，而在另一个群体中却出现错误。 + +![错误分析](../../../../9-Real-World/2-Debugging-ML-Models/images/ea-error-cohort.png) + +树形图上的视觉指示器可以更快地定位问题区域。例如，树节点的红色阴影越深，错误率越高。 + +热图是另一种可视化功能，用户可以使用它通过一个或两个特征调查错误率，以发现整个数据集或群体中导致模型错误的因素。 + +![错误分析热图](../../../../9-Real-World/2-Debugging-ML-Models/images/ea-heatmap.png) + +使用错误分析时，您可以： + +* 深入了解模型失败如何在数据集和多个输入及特征维度中分布。 +* 分解总体性能指标，自动发现错误群体，以指导您的针对性缓解措施。 + +## 模型概览 + +评估机器学习模型的性能需要全面了解其行为。这可以通过查看多个指标（如错误率、准确率、召回率、精确度或平均绝对误差（MAE））来发现性能指标中的差异来实现。一个性能指标可能看起来很好，但另一个指标可能暴露出不准确性。此外，比较整个数据集或群体中的指标差异有助于揭示模型表现良好或不佳的区域。这对于查看模型在敏感特征（如患者种族、性别或年龄）与非敏感特征之间的表现尤为重要，以发现模型可能存在的潜在不公平性。例如，发现模型在包含敏感特征的群体中错误率更高可能揭示模型潜在的不公平性。 + +RAI仪表板的模型概览组件不仅有助于分析数据群体中的性能指标，还为用户提供了比较模型在不同群体中的行为的能力。 + +![数据群体 - RAI仪表板中的模型概览](../../../../9-Real-World/2-Debugging-ML-Models/images/model-overview-dataset-cohorts.png) + +组件的基于特征的分析功能允许用户缩小特定特征内的数据子群体，以更细粒度地识别异常。例如，仪表板具有内置智能，可以自动为用户选择的特征生成群体（例如，*"time_in_hospital < 3"* 或 *"time_in_hospital >= 7"*）。这使用户能够从较大的数据组中隔离特定特征，以查看它是否是模型错误结果的关键影响因素。 + +![特征群体 - RAI仪表板中的模型概览](../../../../9-Real-World/2-Debugging-ML-Models/images/model-overview-feature-cohorts.png) + +模型概览组件支持两类差异指标： + +**模型性能差异**：这些指标计算所选性能指标在数据子群体之间的差异（差距）。以下是一些示例： + +* 准确率差异 +* 错误率差异 +* 精确度差异 +* 召回率差异 +* 平均绝对误差（MAE）差异 + +**选择率差异**：此指标包含子群体之间选择率（有利预测）的差异。例如，贷款批准率的差异。选择率指的是每个类别中被分类为1的数据点的比例（在二元分类中）或预测值的分布（在回归中）。 + +## 数据分析 + +> “如果你对数据施加足够的压力，它会承认任何事情” - Ronald Coase + +这句话听起来极端，但确实如此，数据可以被操纵以支持任何结论。这种操纵有时可能是无意的。作为人类，我们都有偏见，而要意识到自己在数据中引入偏见通常是困难的。确保人工智能和机器学习的公平性仍然是一个复杂的挑战。 + +数据是传统模型性能指标的一个巨大盲点。您可能有很高的准确率，但这并不总是反映数据集中可能存在的潜在数据偏差。例如，如果一个公司员工数据集中有27%的女性担任高管职位，而73%的男性担任同一职位，那么基于该数据训练的招聘广告AI模型可能会主要针对男性观众投放高级职位广告。这种数据的不平衡使模型的预测偏向了某一性别。这揭示了模型存在性别偏见的公平性问题。 + +RAI仪表板上的数据分析组件有助于识别数据集中过度和不足代表的区域。它帮助用户诊断由于数据不平衡或缺乏特定数据群体代表性而引入的错误和公平性问题。这使用户能够根据预测和实际结果、错误群体以及特定特征可视化数据集。有时发现一个代表性不足的数据群体也可能揭示模型学习效果不佳，从而导致高错误率。一个具有数据偏差的模型不仅是一个公平性问题，还表明模型不够包容或可靠。 + +![RAI仪表板上的数据分析组件](../../../../9-Real-World/2-Debugging-ML-Models/images/dataanalysis-cover.png) + +使用数据分析时，您可以： + +* 通过选择不同的过滤器探索数据集统计信息，将数据切分为不同维度（也称为群体）。 +* 了解数据集在不同群体和特征组中的分布。 +* 确定与公平性、错误分析和因果关系相关的发现（来自其他仪表板组件）是否是数据集分布的结果。 +* 决定在哪些领域收集更多数据，以缓解由于代表性问题、标签噪声、特征噪声、标签偏差等因素导致的错误。 + +## 模型可解释性 + +机器学习模型通常是“黑箱”。理解哪些关键数据特征驱动模型的预测可能具有挑战性。提供模型为何做出某种预测的透明性非常重要。例如，如果一个AI系统预测某位糖尿病患者有可能在30天内再次入院，它应该能够提供支持其预测的数据。提供支持数据指标可以帮助临床医生或医院做出明智的决策。此外，能够解释模型为何对个别患者做出某种预测可以确保符合健康法规的责任。当您使用机器学习模型影响人们的生活时，理解和解释模型行为的驱动因素至关重要。模型可解释性和可解释性可以帮助回答以下场景中的问题： + +* 模型调试：为什么我的模型会犯这个错误？我该如何改进模型？ +* 人机协作：我如何理解并信任模型的决策？ +* 法规合规：我的模型是否满足法律要求？ + +RAI仪表板的特征重要性组件帮助您调试并全面了解模型如何做出预测。它也是机器学习专业人士和决策者解释和展示影响模型行为的特征证据的有用工具，以满足法规要求。接下来，用户可以探索全局和局部解释，验证哪些特征驱动模型的预测。全局解释列出影响模型整体预测的主要特征。局部解释显示哪些特征导致模型对个别案例的预测。评估局部解释的能力在调试或审计特定案例时也很有帮助，以更好地理解和解释模型为何做出准确或不准确的预测。 + +![RAI仪表板的特征重要性组件](../../../../9-Real-World/2-Debugging-ML-Models/images/9-feature-importance.png) + +* 全局解释：例如，哪些特征影响糖尿病患者入院模型的整体行为？ +* 局部解释：例如，为什么一位年龄超过60岁且有过住院记录的糖尿病患者被预测为会或不会在30天内再次入院？ + +在调试模型性能的过程中，特征重要性显示了特征在不同群体中的影响程度。它有助于揭示比较特征对模型错误预测的影响程度时的异常情况。特征重要性组件可以显示特征中的哪些值对模型结果产生了正面或负面影响。例如，如果模型做出了错误预测，该组件使您能够深入分析并确定哪些特征或特征值驱动了预测。这种细节不仅有助于调试，还在审计情况下提供了透明性和责任性。最后，该组件可以帮助您识别公平性问题。例如，如果种族或性别等敏感特征在驱动模型预测中具有高度影响力，这可能表明模型存在种族或性别偏见。 + +![特征重要性](../../../../9-Real-World/2-Debugging-ML-Models/images/9-features-influence.png) + +使用可解释性时，您可以： + +* 通过了解哪些特征对预测最重要，确定您的AI系统预测的可信度。 +* 通过首先理解模型并识别模型是否使用健康特征或仅仅是错误关联来调试模型。 +* 发现潜在的不公平性来源，了解模型是否基于敏感特征或与敏感特征高度相关的特征进行预测。 +* 通过生成局部解释来展示模型结果，建立用户对模型决策的信任。 +* 完成AI系统的法规审计，以验证模型并监控模型决策对人类的影响。 + +## 结论 + +RAI仪表板的所有组件都是帮助您构建对社会更少伤害、更值得信赖的机器学习模型的实用工具。它有助于防止对人权的威胁；避免歧视或排除某些群体的生活机会；以及减少身体或心理伤害的风险。它还通过生成局部解释来展示模型结果，帮助建立对模型决策的信任。一些潜在的伤害可以分类为： + +- **分配**：例如，某一性别或种族被优待于另一性别或种族。 +- **服务质量**：如果您为一个特定场景训练数据，但现实情况更复杂，这会导致服务质量差。 +- **刻板印象**：将某一群体与预先分配的属性联系起来。 +- **贬低**：不公平地批评和标记某事或某人。 +- **过度或不足的代表性**。这个概念指的是某些群体在某些职业中未被看到，而任何继续推动这种现象的服务或功能都在助长伤害。 + +### Azure RAI 仪表板 + +[Azure RAI 仪表板](https://learn.microsoft.com/en-us/azure/machine-learning/concept-responsible-ai-dashboard?WT.mc_id=aiml-90525-ruyakubu) 基于由领先学术机构和组织（包括微软）开发的开源工具构建。这些工具对数据科学家和 AI 开发者理解模型行为、发现并缓解 AI 模型中的不良问题至关重要。 + +- 通过查看 RAI 仪表板的[文档](https://learn.microsoft.com/en-us/azure/machine-learning/how-to-responsible-ai-dashboard?WT.mc_id=aiml-90525-ruyakubu)，学习如何使用不同的组件。 + +- 查看一些 RAI 仪表板的[示例笔记本](https://github.com/Azure/RAI-vNext-Preview/tree/main/examples/notebooks)，以调试 Azure 机器学习中的更多负责任 AI 场景。 + +--- +## 🚀 挑战 + +为了从一开始就避免引入统计或数据偏差，我们应该： + +- 确保参与系统开发的人员具有多样化的背景和观点 +- 投资于反映社会多样性的数据集 +- 开发更好的方法来检测和纠正偏差 + +思考现实生活中模型构建和使用中显而易见的不公平场景。我们还应该考虑什么？ + +## [课后测验](https://ff-quizzes.netlify.app/en/ml/) +## 复习与自学 + +在本课中，你学习了一些将负责任 AI 融入机器学习的实用工具。 + +观看以下工作坊以更深入地了解相关主题： + +- 负责任 AI 仪表板：由 Besmira Nushi 和 Mehrnoosh Sameki 主讲，实践中实现 RAI 的一站式解决方案 + +[![负责任 AI 仪表板：实践中实现 RAI 的一站式解决方案](https://img.youtube.com/vi/f1oaDNl3djg/0.jpg)](https://www.youtube.com/watch?v=f1oaDNl3djg "负责任 AI 仪表板：实践中实现 RAI 的一站式解决方案") + +> 🎥 点击上方图片观看视频：负责任 AI 仪表板：实践中实现 RAI 的一站式解决方案，由 Besmira Nushi 和 Mehrnoosh Sameki 主讲 + +参考以下材料，了解更多关于负责任 AI 的内容以及如何构建更值得信赖的模型： + +- 微软的 RAI 仪表板工具，用于调试 ML 模型：[负责任 AI 工具资源](https://aka.ms/rai-dashboard) + +- 探索负责任 AI 工具包：[Github](https://github.com/microsoft/responsible-ai-toolbox) + +- 微软的 RAI 资源中心：[负责任 AI 资源 – Microsoft AI](https://www.microsoft.com/ai/responsible-ai-resources?activetab=pivot1%3aprimaryr4) + +- 微软的 FATE 研究组：[FATE：AI 中的公平性、问责性、透明性和伦理 - Microsoft Research](https://www.microsoft.com/research/theme/fate/) + +## 作业 + +[探索 RAI 仪表板](assignment.md) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/assignment.md b/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/assignment.md new file mode 100644 index 000000000..a5ac0eb36 --- /dev/null +++ b/translations/zh-CN/9-Real-World/2-Debugging-ML-Models/assignment.md @@ -0,0 +1,16 @@ +# 探索负责任人工智能（RAI）仪表板 + +## 说明 + +在本课程中，您学习了RAI仪表板，这是一个基于“开源”工具构建的组件套件，旨在帮助数据科学家进行错误分析、数据探索、公平性评估、模型可解释性、反事实/假设评估以及人工智能系统的因果分析。作为本次作业的一部分，请探索一些RAI仪表板的示例[笔记本](https://github.com/Azure/RAI-vNext-Preview/tree/main/examples/notebooks)，并在论文或演示文稿中报告您的发现。 + +## 评分标准 + +| 标准 | 优秀 | 合格 | 需要改进 | +| -------- | --------- | -------- | ----------------- | +| | 提交了一份讨论RAI仪表板组件、运行的笔记本以及从中得出的结论的论文或PPT演示文稿 | 提交了一份没有结论的论文 | 未提交论文 | + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。因使用本翻译而导致的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/9-Real-World/README.md b/translations/zh-CN/9-Real-World/README.md new file mode 100644 index 000000000..a442de445 --- /dev/null +++ b/translations/zh-CN/9-Real-World/README.md @@ -0,0 +1,23 @@ +# 后记：经典机器学习的实际应用 + +在本课程的这一部分中，您将了解经典机器学习在现实世界中的一些应用。我们在互联网上搜集了关于这些策略应用的白皮书和文章，尽量避免涉及神经网络、深度学习和人工智能。了解机器学习如何应用于商业系统、生态应用、金融、艺术与文化等领域。 + +![国际象棋](../../../translated_images/zh-CN/chess.e704a268781bdad8.webp) + +> 图片由 Alexis Fauvet 提供，来源于 Unsplash + +## 课程 + +1. [机器学习的实际应用](1-Applications/README.md) +2. [使用负责任的AI仪表板组件进行机器学习模型调试](2-Debugging-ML-Models/README.md) + +## 致谢 + +“机器学习的实际应用”由包括 [Jen Looper](https://twitter.com/jenlooper) 和 [Ornella Altunyan](https://twitter.com/ornelladotcom) 在内的团队撰写。 + +“使用负责任的AI仪表板组件进行机器学习模型调试”由 [Ruth Yakubu](https://twitter.com/ruthieyakubu) 撰写。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/AGENTS.md b/translations/zh-CN/AGENTS.md new file mode 100644 index 000000000..20b20fa4a --- /dev/null +++ b/translations/zh-CN/AGENTS.md @@ -0,0 +1,336 @@ +# AGENTS.md + +## 项目概述 + +这是**机器学习入门**，一个全面的12周、26课的课程体系，涵盖使用Python（主要是Scikit-learn）和R的经典机器学习概念。该仓库设计为一个自学资源，包含实践项目、测验和作业。每节课通过来自世界各地不同文化和地区的真实数据探索机器学习概念。 + +关键组成部分： +- **教育内容**：26节课，涵盖机器学习简介、回归、分类、聚类、自然语言处理（NLP）、时间序列和强化学习 +- **测验应用**：基于Vue.js的测验应用，提供课前和课后评估 +- **多语言支持**：通过GitHub Actions自动翻译成40多种语言 +- **双语言支持**：课程内容同时提供Python（Jupyter笔记本）和R（R Markdown文件） +- **基于项目的学习**：每个主题都包含实践项目和作业 + +## 仓库结构 + +``` +ML-For-Beginners/ +├── 1-Introduction/ # ML basics, history, fairness, techniques +├── 2-Regression/ # Regression models with Python/R +├── 3-Web-App/ # Flask web app for ML model deployment +├── 4-Classification/ # Classification algorithms +├── 5-Clustering/ # Clustering techniques +├── 6-NLP/ # Natural Language Processing +├── 7-TimeSeries/ # Time series forecasting +├── 8-Reinforcement/ # Reinforcement learning +├── 9-Real-World/ # Real-world ML applications +├── quiz-app/ # Vue.js quiz application +├── translations/ # Auto-generated translations +└── sketchnotes/ # Visual learning aids +``` + +每个课程文件夹通常包含： +- `README.md` - 主要课程内容 +- `notebook.ipynb` - Python Jupyter笔记本 +- `solution/` - 解决方案代码（Python和R版本） +- `assignment.md` - 练习题 +- `images/` - 可视化资源 + +## 设置命令 + +### 针对Python课程 + +大多数课程使用Jupyter笔记本。安装所需依赖项： + +```bash +# Install Python 3.8+ if not already installed +python --version + +# Install Jupyter +pip install jupyter + +# Install common ML libraries +pip install scikit-learn pandas numpy matplotlib seaborn + +# For specific lessons, check lesson-specific requirements +# Example: Web App lesson +pip install flask +``` + +### 针对R课程 + +R课程位于`solution/R/`文件夹中，以`.rmd`或`.ipynb`文件形式存在： + +```bash +# Install R and required packages +# In R console: +install.packages(c("tidyverse", "tidymodels", "caret")) +``` + +### 针对测验应用 + +测验应用是一个位于`quiz-app/`目录中的Vue.js应用： + +```bash +cd quiz-app +npm install +``` + +### 针对文档站点 + +本地运行文档： + +```bash +# Install Docsify +npm install -g docsify-cli + +# Serve from repository root +docsify serve + +# Access at http://localhost:3000 +``` + +## 开发工作流程 + +### 使用课程笔记本 + +1. 进入课程目录（例如，`2-Regression/1-Tools/`） +2. 打开Jupyter笔记本： + ```bash + jupyter notebook notebook.ipynb + ``` +3. 学习课程内容并完成练习 +4. 如有需要，可查看`solution/`文件夹中的解决方案 + +### Python开发 + +- 课程使用标准的Python数据科学库 +- Jupyter笔记本用于交互式学习 +- 每节课的`solution/`文件夹中提供解决方案代码 + +### R开发 + +- R课程以`.rmd`格式（R Markdown）提供 +- 解决方案位于`solution/R/`子目录中 +- 使用RStudio或带有R内核的Jupyter运行R笔记本 + +### 测验应用开发 + +```bash +cd quiz-app + +# Start development server +npm run serve +# Access at http://localhost:8080 + +# Build for production +npm run build + +# Lint and fix files +npm run lint +``` + +## 测试说明 + +### 测验应用测试 + +```bash +cd quiz-app + +# Lint code +npm run lint + +# Build to verify no errors +npm run build +``` + +**注意**：这是一个主要用于教育的课程仓库。课程内容没有自动化测试。验证通过以下方式完成： +- 完成课程练习 +- 成功运行笔记本单元格 +- 将输出与解决方案中的预期结果进行比较 + +## 代码风格指南 + +### Python代码 +- 遵循PEP 8风格指南 +- 使用清晰、描述性的变量名 +- 对复杂操作添加注释 +- Jupyter笔记本应包含解释概念的Markdown单元格 + +### JavaScript/Vue.js（测验应用） +- 遵循Vue.js风格指南 +- ESLint配置位于`quiz-app/package.json` +- 运行`npm run lint`检查并自动修复问题 + +### 文档 +- Markdown文件应清晰且结构良好 +- 在代码块中包含代码示例 +- 内部引用使用相对链接 +- 遵循现有的格式约定 + +## 构建与部署 + +### 测验应用部署 + +测验应用可以部署到Azure静态Web应用： + +1. **先决条件**： + - Azure账户 + - GitHub仓库（已分叉） + +2. **部署到Azure**： + - 创建Azure静态Web应用资源 + - 连接到GitHub仓库 + - 设置应用位置：`/quiz-app` + - 设置输出位置：`dist` + - Azure会自动创建GitHub Actions工作流 + +3. **GitHub Actions工作流**： + - 工作流文件创建于`.github/workflows/azure-static-web-apps-*.yml` + - 推送到主分支时自动构建和部署 + +### 文档PDF + +从文档生成PDF： + +```bash +npm install +npm run convert +``` + +## 翻译工作流程 + +**重要**：翻译通过GitHub Actions使用Co-op Translator自动完成。 + +- 当更改推送到`main`分支时，翻译会自动生成 +- **不要手动翻译内容** - 系统会处理 +- 工作流定义在`.github/workflows/co-op-translator.yml` +- 使用Azure AI/OpenAI服务进行翻译 +- 支持40多种语言 + +## 贡献指南 + +### 针对内容贡献者 + +1. **分叉仓库**并创建一个功能分支 +2. **修改课程内容**以添加或更新课程 +3. **不要修改翻译文件** - 它们是自动生成的 +4. **测试代码** - 确保所有笔记本单元格成功运行 +5. **验证链接和图片**是否正常工作 +6. **提交拉取请求**并提供清晰的描述 + +### 拉取请求指南 + +- **标题格式**：`[部分] 简要描述更改` + - 示例：`[回归] 修复第5课中的拼写错误` + - 示例：`[测验应用] 更新依赖项` +- **提交前**： + - 确保所有笔记本单元格无错误执行 + - 如果修改了测验应用，运行`npm run lint` + - 验证Markdown格式 + - 测试任何新的代码示例 +- **拉取请求必须包括**： + - 更改描述 + - 更改原因 + - 如果有UI更改，提供截图 +- **行为准则**：遵循[Microsoft开源行为准则](CODE_OF_CONDUCT.md) +- **CLA**：需要签署贡献者许可协议 + +## 课程结构 + +每节课遵循一致的模式： + +1. **课前测验** - 测试基础知识 +2. **课程内容** - 书面说明和解释 +3. **代码演示** - 笔记本中的实践示例 +4. **知识检查** - 验证学习理解 +5. **挑战** - 独立应用概念 +6. **作业** - 扩展练习 +7. **课后测验** - 评估学习成果 + +## 常用命令参考 + +```bash +# Python/Jupyter +jupyter notebook # Start Jupyter server +jupyter notebook notebook.ipynb # Open specific notebook +pip install -r requirements.txt # Install dependencies (where available) + +# Quiz App +cd quiz-app +npm install # Install dependencies +npm run serve # Development server +npm run build # Production build +npm run lint # Lint and fix + +# Documentation +docsify serve # Serve documentation locally +npm run convert # Generate PDF + +# Git workflow +git checkout -b feature/my-change # Create feature branch +git add . # Stage changes +git commit -m "Description" # Commit changes +git push origin feature/my-change # Push to remote +``` + +## 其他资源 + +- **Microsoft Learn集合**：[机器学习入门模块](https://learn.microsoft.com/en-us/collections/qrqzamz1nn2wx3?WT.mc_id=academic-77952-bethanycheum) +- **测验应用**：[在线测验](https://ff-quizzes.netlify.app/en/ml/) +- **讨论板**：[GitHub Discussions](https://github.com/microsoft/ML-For-Beginners/discussions) +- **视频讲解**：[YouTube播放列表](https://aka.ms/ml-beginners-videos) + +## 关键技术 + +- **Python**：机器学习课程的主要语言（Scikit-learn, Pandas, NumPy, Matplotlib） +- **R**：使用tidyverse, tidymodels, caret的替代实现 +- **Jupyter**：Python课程的交互式笔记本 +- **R Markdown**：R课程的文档 +- **Vue.js 3**：测验应用框架 +- **Flask**：用于机器学习模型部署的Web应用框架 +- **Docsify**：文档站点生成器 +- **GitHub Actions**：CI/CD和自动翻译 + +## 安全注意事项 + +- **代码中不包含秘密信息**：不要提交API密钥或凭证 +- **依赖项**：保持npm和pip包更新 +- **用户输入**：Flask Web应用示例包括基本输入验证 +- **敏感数据**：示例数据集是公开且无敏感信息的 + +## 故障排除 + +### Jupyter笔记本 + +- **内核问题**：如果单元格挂起，请重启内核：内核 → 重启 +- **导入错误**：确保使用pip安装了所有必需的包 +- **路径问题**：从笔记本所在目录运行笔记本 + +### 测验应用 + +- **npm安装失败**：清除npm缓存：`npm cache clean --force` +- **端口冲突**：更改端口：`npm run serve -- --port 8081` +- **构建错误**：删除`node_modules`并重新安装：`rm -rf node_modules && npm install` + +### R课程 + +- **未找到包**：使用以下命令安装：`install.packages("package-name")` +- **RMarkdown渲染问题**：确保安装了rmarkdown包 +- **内核问题**：可能需要为Jupyter安装IRkernel + +## 项目特定说明 + +- 这主要是一个**学习课程**，而非生产代码 +- 重点是通过实践练习**理解机器学习概念** +- 代码示例优先考虑**清晰性而非优化** +- 大多数课程是**独立的**，可以单独完成 +- **提供解决方案**，但学习者应先尝试完成练习 +- 仓库使用**Docsify**生成Web文档，无需构建步骤 +- **手绘笔记**提供概念的可视化总结 +- **多语言支持**使内容全球可访问 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们对因使用此翻译而产生的任何误解或误读不承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/CODE_OF_CONDUCT.md b/translations/zh-CN/CODE_OF_CONDUCT.md new file mode 100644 index 000000000..fa794ccfb --- /dev/null +++ b/translations/zh-CN/CODE_OF_CONDUCT.md @@ -0,0 +1,14 @@ +# Microsoft 开源行为准则 + +本项目已采用 [Microsoft 开源行为准则](https://opensource.microsoft.com/codeofconduct/)。 + +资源： + +- [Microsoft 开源行为准则](https://opensource.microsoft.com/codeofconduct/) +- [Microsoft 行为准则常见问题](https://opensource.microsoft.com/codeofconduct/faq/) +- 如有疑问或需帮助，请联系 [opencode@microsoft.com](mailto:opencode@microsoft.com) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。对于因使用本翻译而引起的任何误解或误读，我们概不负责。 \ No newline at end of file diff --git a/translations/zh-CN/CONTRIBUTING.md b/translations/zh-CN/CONTRIBUTING.md new file mode 100644 index 000000000..832b3d123 --- /dev/null +++ b/translations/zh-CN/CONTRIBUTING.md @@ -0,0 +1,16 @@ +# 贡献 + +本项目欢迎贡献和建议。大多数贡献需要您同意一份贡献者许可协议 (CLA)，声明您拥有并确实授予我们使用您贡献的权利。详情请访问 https://cla.microsoft.com。 + +> 重要提示：在翻译此仓库中的文本时，请确保不要使用机器翻译。我们将通过社区验证翻译，因此请仅在您熟练掌握的语言中自愿进行翻译。 + +当您提交一个拉取请求时，CLA-bot 会自动判断您是否需要提供 CLA，并适当地标记 PR（例如，标签、评论）。只需按照机器人提供的指示操作即可。您只需在所有使用我们 CLA 的仓库中完成一次此操作。 + +本项目已采用 [Microsoft 开源行为准则](https://opensource.microsoft.com/codeofconduct/)。 +有关更多信息，请参阅 [行为准则常见问题](https://opensource.microsoft.com/codeofconduct/faq/) +或通过 [opencode@microsoft.com](mailto:opencode@microsoft.com) 联系我们，提出其他问题或意见。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/PyTorch_Fundamentals.ipynb b/translations/zh-CN/PyTorch_Fundamentals.ipynb new file mode 100644 index 000000000..c82c561cb --- /dev/null +++ b/translations/zh-CN/PyTorch_Fundamentals.ipynb @@ -0,0 +1,2830 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "gpuType": "T4", + "authorship_tag": "ABX9TyOgv0AozH1FKQBD+RkgT2bV", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + }, + "accelerator": "GPU", + "coopTranslator": { + "original_hash": "0ca21b6ee62904d616f2e36dc1cf0da7", + "translation_date": "2025-09-03T19:15:43+00:00", + "source_file": "PyTorch_Fundamentals.ipynb", + "language_code": "zh" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "EHh5JllMh1rG", + "outputId": "f55755ad-c369-414c-85ec-6e9d4f061a02", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 35 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "'2.2.1+cu121'" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "string" + } + }, + "metadata": {}, + "execution_count": 1 + } + ], + "source": [ + "import torch\n", + "torch.__version__" + ] + }, + { + "cell_type": "code", + "source": [ + "print(\"I am excited to run this\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "UPlb-duwXAfz", + "outputId": "cfd687e4-1238-49f4-ab6b-ee1305b740d2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "I am excited to run this\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "import torch\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "print(torch.__version__)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "byWVlJ9wXDSk", + "outputId": "fd74a5c4-4d4a-41b2-ef3c-562ea3e4811f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "2.2.1+cu121\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "Osm80zoEYklS" + } + }, + { + "cell_type": "code", + "source": [ + "# scalar\n", + "scalar = torch.tensor(7)\n", + "scalar" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-o8wvJ-VXZmI", + "outputId": "558816f5-1205-4de1-fe1f-2f96e9bd79e6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor(7)" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "source": [ + "scalar.ndim" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "mCZ2tXC4Y_Sg", + "outputId": "2d86dbdc-56e1-45c6-d3dd-14515f2a457a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "source": [ + "scalar.item()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ssN00By0ZQgS", + "outputId": "490f40d1-5135-4969-a6d3-c8c902cdc473" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "7" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# vector\n", + "vector = torch.tensor([7, 7])\n", + "vector\n", + "#vector.ndim\n", + "#vector.item()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Bws__5wlZnmF", + "outputId": "944e38f9-5ba1-4ddc-a9c6-cfb6a19bb488" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([7, 7])" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ] + }, + { + "cell_type": "code", + "source": [ + "vector.shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9pjCvnsZZzNG", + "outputId": "e030a4da-8f81-4858-fbce-86da2aaafe52" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "torch.Size([2])" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Matrix\n", + "MATRIX = torch.tensor([[7, 8],[9, 10]])\n", + "MATRIX" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "a747hI9SaBGW", + "outputId": "af835ddb-81ff-4981-badb-441567194d15" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 7, 8],\n", + " [ 9, 10]])" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ] + }, + { + "cell_type": "code", + "source": [ + "MATRIX.ndim" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "XdTfFa7vaRUj", + "outputId": "0fbbab9c-8263-4cad-a380-0d2a16ca499e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ] + }, + { + "cell_type": "code", + "source": [ + "MATRIX[0]\n", + "MATRIX[1]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TFeD3jSDafm7", + "outputId": "69b44ab3-5ba7-451a-c6b2-f019a03d0c96" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([ 9, 10])" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Tensor\n", + "TENSOR = torch.tensor([[[1, 2, 3],[3,6,9], [2,4,5]]])\n", + "TENSOR" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ic3cE47tah42", + "outputId": "f250e295-91de-43ec-9d80-588a6fe0abde" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[[1, 2, 3],\n", + " [3, 6, 9],\n", + " [2, 4, 5]]])" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] + }, + { + "cell_type": "code", + "source": [ + "TENSOR.shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Wvjf5fczbAM1", + "outputId": "9c72b5b8-bafe-4ae7-9883-b051e209eada" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "torch.Size([1, 3, 3])" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ] + }, + { + "cell_type": "code", + "source": [ + "TENSOR.ndim" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "mwtXZwiMbN3m", + "outputId": "331a5e36-b1b0-4a5f-a9b8-e7049cbaa8f9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "3" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "source": [ + "TENSOR[0]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "vzdZu_IfbP3J", + "outputId": "e24e7e71-e365-412d-ff50-fc094b56d2f3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1, 2, 3],\n", + " [3, 6, 9],\n", + " [2, 4, 5]])" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "A8OL9eWfcRrJ" + } + }, + { + "cell_type": "code", + "source": [ + "random_tensor = torch.rand(3,4)\n", + "random_tensor" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "hAqSDE1EcVS_", + "outputId": "946171c3-d054-400c-f893-79110356888c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.4414, 0.7681, 0.8385, 0.3166],\n", + " [0.0468, 0.5812, 0.0670, 0.9173],\n", + " [0.2959, 0.3276, 0.7411, 0.4643]])" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ] + }, + { + "cell_type": "code", + "source": [ + "random_tensor.ndim" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "g4fvPE5GcwzP", + "outputId": "8737f36b-6864-4059-eaed-6f9156c22306" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ] + }, + { + "cell_type": "code", + "source": [ + "random_tensor.shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "XsAg99QmdAU6", + "outputId": "35467c11-257c-4f16-99aa-eca930bcbc36" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "torch.Size([3, 4])" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ] + }, + { + "cell_type": "code", + "source": [ + "random_tensor.size()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cii1pNdVdB68", + "outputId": "fc8d2de6-9215-43de-99f7-7b0d7f7d20fa" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "torch.Size([3, 4])" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ] + }, + { + "cell_type": "code", + "source": [ + "random_image_tensor = torch.rand(size=(3, 224, 224)) #color channels, height, width\n", + "random_image_tensor.ndim, random_image_tensor.shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "aTKq2j0cdDjb", + "outputId": "6be42057-20b9-4faf-d79d-8b65c42cc27e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(3, torch.Size([3, 224, 224]))" + ] + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "code", + "source": [ + "random_tensor_ofownsize = torch.rand(size=(5,10,10))\n", + "random_tensor_ofownsize.ndim, random_tensor_ofownsize.shape\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "IyhDdj-Pd6nC", + "outputId": "43e5e334-6d4d-4b67-f87d-7d364c6d8c67" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(3, torch.Size([5, 10, 10]))" + ] + }, + "metadata": {}, + "execution_count": 21 + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "UOJW08uOert_" + } + }, + { + "cell_type": "code", + "source": [ + "zero = torch.zeros(size=(3, 4))\n", + "zero" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "uGvXtaXyefie", + "outputId": "d40d3e28-8667-4d2f-8b62-f0829c6162ad" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0., 0., 0., 0.],\n", + " [0., 0., 0., 0.],\n", + " [0., 0., 0., 0.]])" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + }, + { + "cell_type": "code", + "source": [ + "zero*random_tensor" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "OyUkUPkDe0uH", + "outputId": "26c2e4be-36ba-4c6c-9a90-2704ec135828" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0., 0., 0., 0.],\n", + " [0., 0., 0., 0.],\n", + " [0., 0., 0., 0.]])" + ] + }, + "metadata": {}, + "execution_count": 23 + } + ] + }, + { + "cell_type": "code", + "source": [ + "ones = torch.ones(size=(3, 4))\n", + "ones\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "y_Ac62Aqe82G", + "outputId": "291de5d9-b9df-49de-c9d1-d098e3e9f4d8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1., 1., 1., 1.],\n", + " [1., 1., 1., 1.],\n", + " [1., 1., 1., 1.]])" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ] + }, + { + "cell_type": "code", + "source": [ + "ones.dtype" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TvGOA9odfIEO", + "outputId": "45949ef4-6649-4b6c-d6af-2d4bfb8de832" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "torch.float32" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ] + }, + { + "cell_type": "code", + "source": [ + "ones*zero" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "--pTyge-fI-8", + "outputId": "c4d9bb7e-829b-43db-e2db-b1a2d64e61f0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0., 0., 0., 0.],\n", + " [0., 0., 0., 0.],\n", + " [0., 0., 0., 0.]])" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "qDcc7Z36fSJF" + } + }, + { + "cell_type": "code", + "source": [ + "one_to_ten = torch.arange(start = 1, end = 11, step = 1)\n", + "one_to_ten" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "w3CZB4zUfR1s", + "outputId": "197fcba1-da0a-4b4a-ed11-3974bd6c01aa" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" 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"outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([5])" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ] + }, + { + "cell_type": "code", + "source": [ + "x[0,0,:]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "luNDINKNTTxp", + "outputId": "091195ef-2f71-4602-e95f-529a69193150" + }, + "execution_count": 25, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([1, 2, 3])" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ] + }, + { + "cell_type": "code", + "source": [ + "x[0,:,2]" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KG8A4xbfThCL", + "outputId": "5866bc41-9241-4619-be7b-e9206b3f80ab" + }, + "execution_count": 26, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([3, 6, 9])" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np" + ], + "metadata": { + "id": "CZ3PX0qlTwHJ" + }, + "execution_count": 27, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "array = np.arange(1.0, 8.0)" + ], + "metadata": { + "id": "UOBeTumiT3Lf" + }, + "execution_count": 28, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "array" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "RzcO32E9UCQl", + "outputId": "430def24-c42c-461f-e5e7-398544c695d3" + }, + "execution_count": 29, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([1., 2., 3., 4., 5., 6., 7.])" + ] + }, + "metadata": {}, + "execution_count": 29 + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor = torch.from_numpy(array)\n", + "tensor" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JJIL0q1DUC6O", + "outputId": "8a3b1d7c-4482-4d32-f34f-9212d9d3a177" + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([1., 2., 3., 4., 5., 6., 7.], dtype=torch.float64)" + ] + }, + "metadata": {}, + "execution_count": 32 + } + ] + }, + { + "cell_type": "code", + "source": [ + "array[3]=11.0" + ], + "metadata": { + "id": "j3Ce6q3DUIEK" + }, + "execution_count": 33, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "array" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "dc_BCVdjUsCc", + "outputId": "65537325-8b11-4f36-fc73-e56f30d6a036" + }, + "execution_count": 34, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([ 1., 2., 3., 11., 5., 6., 7.])" + ] + }, + "metadata": {}, + "execution_count": 34 + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "VG1e_eITUta2", + "outputId": "a26c5198-23b6-4a6d-d73a-ba20cd9782b8" + }, + "execution_count": 35, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([ 1., 2., 3., 11., 5., 6., 7.], dtype=torch.float64)" + ] + }, + "metadata": {}, + "execution_count": 35 + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor = torch.ones(7)\n", + "tensor, tensor.dtype\n", + "numpy_tensor = tensor.numpy()\n", + "numpy_tensor, numpy_tensor.dtype" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Swt8JF8vUuev", + "outputId": "c9e5bf6a-6d2c-41d6-8327-366867ffdd2d" + }, + "execution_count": 37, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(array([1., 1., 1., 1., 1., 1., 1.], dtype=float32), dtype('float32'))" + ] + }, + "metadata": {}, + "execution_count": 37 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import torch\n", + "random_tensor_A = torch.rand(3,4)\n", + "random_tensor_B = torch.rand(3,4)\n", + "print(random_tensor_A)\n", + "print(random_tensor_B)\n", + "print(random_tensor_A == random_tensor_B)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "uGcagTteVFTD", + "outputId": "49405790-08e7-4210-b7f1-f00b904c7eb9" + }, + "execution_count": 38, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[0.9870, 0.6636, 0.6873, 0.8863],\n", + " [0.8386, 0.4169, 0.3587, 0.0265],\n", + " [0.2981, 0.6025, 0.5652, 0.5840]])\n", + "tensor([[0.9821, 0.3481, 0.0913, 0.4940],\n", + " [0.7495, 0.4387, 0.9582, 0.8659],\n", + " [0.5064, 0.6919, 0.0809, 0.9771]])\n", + "tensor([[False, False, False, False],\n", + " [False, False, False, False],\n", + " [False, False, False, False]])\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "RANDOM_SEED = 42\n", + "torch.manual_seed(RANDOM_SEED)\n", + "random_tensor_C = torch.rand(3,4)\n", + "torch.manual_seed(RANDOM_SEED)\n", + "random_tensor_D = torch.rand(3,4)\n", + "print(random_tensor_C)\n", + "print(random_tensor_D)\n", + "print(random_tensor_C == random_tensor_D)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "HznyXyEaWjLM", + "outputId": "25956434-01b6-4059-9054-c9978884ddc1" + }, + "execution_count": 46, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[0.8823, 0.9150, 0.3829, 0.9593],\n", + " [0.3904, 0.6009, 0.2566, 0.7936],\n", + " [0.9408, 0.1332, 0.9346, 0.5936]])\n", + "tensor([[0.8823, 0.9150, 0.3829, 0.9593],\n", + " [0.3904, 0.6009, 0.2566, 0.7936],\n", + " [0.9408, 0.1332, 0.9346, 0.5936]])\n", + "tensor([[True, True, True, True],\n", + " [True, True, True, True],\n", + " [True, True, True, True]])\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "!nvidia-smi" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "vltPTh0YXJSt", + "outputId": "807af6dc-a9ca-4301-ec32-b688dbde8be8" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Thu May 23 02:57:59 2024 \n", + "+---------------------------------------------------------------------------------------+\n", + "| NVIDIA-SMI 535.104.05 Driver Version: 535.104.05 CUDA Version: 12.2 |\n", + "|-----------------------------------------+----------------------+----------------------+\n", + "| GPU Name Persistence-M | Bus-Id Disp.A | Volatile Uncorr. ECC |\n", + "| Fan Temp Perf Pwr:Usage/Cap | Memory-Usage | GPU-Util Compute M. |\n", + "| | | MIG M. |\n", + "|=========================================+======================+======================|\n", + "| 0 Tesla T4 Off | 00000000:00:04.0 Off | 0 |\n", + "| N/A 60C P8 11W / 70W | 0MiB / 15360MiB | 0% Default |\n", + "| | | N/A |\n", + "+-----------------------------------------+----------------------+----------------------+\n", + " \n", + "+---------------------------------------------------------------------------------------+\n", + "| Processes: |\n", + "| GPU GI CI PID Type Process name GPU Memory |\n", + "| ID ID Usage |\n", + "|=======================================================================================|\n", + "| No running processes found |\n", + "+---------------------------------------------------------------------------------------+\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "import torch\n", + "torch.cuda.is_available()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "L6mMyPDyYh1j", + "outputId": "279c5dd8-c2a8-4fbd-f321-2f5d7c6e90e6" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "source": [ + "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", + "device" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 35 + }, + "id": "oOdiYa7ZYytx", + "outputId": "d73b04fc-8963-4826-9722-08d118d5ab91" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "'cuda'" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "string" + } + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "source": [ + "torch.cuda.device_count()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "vOdsazLqZFM5", + "outputId": "8189cd6a-9017-4663-a652-3e15c517d9c3" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "1" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor = torch.tensor([1,2,3], device = \"cpu\")\n", + "print(tensor, tensor.device)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cdik9Vw3ZMv0", + "outputId": "044a68fd-83a1-409d-8e3b-655142ca0270" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([1, 2, 3]) cpu\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor_on_gpu = tensor.to(device)\n", + "tensor_on_gpu" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Zmp835rrZp-z", + "outputId": "37fa3413-18a3-47bf-ae51-5b36ff85a3ef" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([1, 2, 3], device='cuda:0')" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor_on_gpu.numpy()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 159 + }, + "id": "jhriaa8uZ1yM", + "outputId": "bc5a3226-1a12-4fea-8769-a44f21cdc323" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "error", + "ename": "TypeError", + "evalue": "can't convert cuda:0 device type tensor to numpy. Use Tensor.cpu() to copy the tensor to host memory first.", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mtensor_on_gpu\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m: can't convert cuda:0 device type tensor to numpy. Use Tensor.cpu() to copy the tensor to host memory first." + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "tensor_on_cpu = tensor_on_gpu.cpu().numpy()" + ], + "metadata": { + "id": "LHGXK3GgaOzL" + }, + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "j-El4LlCajfq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n---\n\n**免责声明**： \n本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。\n" + ] + } + ] +} \ No newline at end of file diff --git a/translations/zh-CN/README.md b/translations/zh-CN/README.md new file mode 100644 index 000000000..5c36134d4 --- /dev/null +++ b/translations/zh-CN/README.md @@ -0,0 +1,221 @@ +[![GitHub license](https://img.shields.io/github/license/microsoft/ML-For-Beginners.svg)](https://github.com/microsoft/ML-For-Beginners/blob/master/LICENSE) +[![GitHub contributors](https://img.shields.io/github/contributors/microsoft/ML-For-Beginners.svg)](https://GitHub.com/microsoft/ML-For-Beginners/graphs/contributors/) +[![GitHub issues](https://img.shields.io/github/issues/microsoft/ML-For-Beginners.svg)](https://GitHub.com/microsoft/ML-For-Beginners/issues/) +[![GitHub pull-requests](https://img.shields.io/github/issues-pr/microsoft/ML-For-Beginners.svg)](https://GitHub.com/microsoft/ML-For-Beginners/pulls/) +[![PRs Welcome](https://img.shields.io/badge/PRs-welcome-brightgreen.svg?style=flat-square)](http://makeapullrequest.com) + +[![GitHub watchers](https://img.shields.io/github/watchers/microsoft/ML-For-Beginners.svg?style=social&label=Watch)](https://GitHub.com/microsoft/ML-For-Beginners/watchers/) +[![GitHub forks](https://img.shields.io/github/forks/microsoft/ML-For-Beginners.svg?style=social&label=Fork)](https://GitHub.com/microsoft/ML-For-Beginners/network/) +[![GitHub stars](https://img.shields.io/github/stars/microsoft/ML-For-Beginners.svg?style=social&label=Star)](https://GitHub.com/microsoft/ML-For-Beginners/stargazers/) + +### 🌐 多语言支持 + +#### 通过 GitHub Action 支持（自动且始终保持最新） + + +[阿拉伯语](../ar/README.md) | [孟加拉语](../bn/README.md) | [保加利亚语](../bg/README.md) | [缅甸语](../my/README.md) | [中文（简体）](./README.md) | [中文（繁体，香港）](../zh-HK/README.md) | [中文（繁体，澳门）](../zh-MO/README.md) | [中文（繁体，台湾）](../zh-TW/README.md) | [克罗地亚语](../hr/README.md) | [捷克语](../cs/README.md) | [丹麦语](../da/README.md) | [荷兰语](../nl/README.md) | [爱沙尼亚语](../et/README.md) | [芬兰语](../fi/README.md) | [法语](../fr/README.md) | [德语](../de/README.md) | [希腊语](../el/README.md) | [希伯来语](../he/README.md) | [印地语](../hi/README.md) | [匈牙利语](../hu/README.md) | [印度尼西亚语](../id/README.md) | [意大利语](../it/README.md) | [日语](../ja/README.md) | [卡纳达语](../kn/README.md) | [韩语](../ko/README.md) | [立陶宛语](../lt/README.md) | [马来语](../ms/README.md) | [马拉雅拉姆语](../ml/README.md) | [马拉地语](../mr/README.md) | [尼泊尔语](../ne/README.md) | [尼日利亚皮钦语](../pcm/README.md) | [挪威语](../no/README.md) | [波斯语（法尔西语）](../fa/README.md) | [波兰语](../pl/README.md) | [葡萄牙语（巴西）](../pt-BR/README.md) | [葡萄牙语（葡萄牙）](../pt-PT/README.md) | [旁遮普语（古鲁穆奇）](../pa/README.md) | [罗马尼亚语](../ro/README.md) | [俄语](../ru/README.md) | [塞尔维亚语（西里尔字母）](../sr/README.md) | [斯洛伐克语](../sk/README.md) | [斯洛文尼亚语](../sl/README.md) | [西班牙语](../es/README.md) | [斯瓦希里语](../sw/README.md) | [瑞典语](../sv/README.md) | [他加禄语（菲律宾语）](../tl/README.md) | [泰米尔语](../ta/README.md) | [泰卢固语](../te/README.md) | [泰语](../th/README.md) | [土耳其语](../tr/README.md) | [乌克兰语](../uk/README.md) | [乌尔都语](../ur/README.md) | [越南语](../vi/README.md) + +> **更喜欢本地克隆？** + +> 该仓库包含50多种语言的翻译，显著增加了下载大小。若要在不下载翻译的情况下克隆，请使用稀疏检出： +> ```bash +> git clone --filter=blob:none --sparse https://github.com/microsoft/ML-For-Beginners.git +> cd ML-For-Beginners +> git sparse-checkout set --no-cone '/*' '!translations' '!translated_images' +> ``` +> 这样你将获得完成课程所需的一切，下载速度更快。 + + +#### 加入我们的社区 + +[![Microsoft Foundry Discord](https://dcbadge.limes.pink/api/server/nTYy5BXMWG)](https://discord.gg/nTYy5BXMWG) + +我们开展了一个 Discord 中的 AI 学习系列，了解更多信息并加入我们，时间为 2025 年 9 月 18 日至 30 日，访问 [Learn with AI Series](https://aka.ms/learnwithai/discord)。您将获得使用 GitHub Copilot 从事数据科学的技巧和窍门。 + +![与 AI 一起学习系列](../../translated_images/zh-CN/3.9b58fd8d6c373c20.webp) + +# 初学者机器学习课程 + +> 🌍 通过探访世界各地文化，一起探索机器学习 🌍 + +微软云倡导者很高兴提供一份为期12周、共26课的课程，全面介绍**机器学习**。在此课程中，你将学习有时称为**经典机器学习**的内容，主要使用Scikit-learn库，避免深度学习部分，深度学习内容已包含于我们的[初学者 AI 课程](https://aka.ms/ai4beginners)。同时你也可以结合我们的[初学者数据科学课程](https://aka.ms/ds4beginners)学习。 + +跟我们一起环游世界，将这些经典技术应用于来自世界各地的数据。每节课都包括课前和课后测验、完成课程的书面说明、解决方案、作业等。我们的项目驱动教学法让你在实战中学习，帮助新技能得以巩固。 + +**✍️ 衷心感谢我们的作者** Jen Looper、Stephen Howell、Francesca Lazzeri、Tomomi Imura、Cassie Breviu、Dmitry Soshnikov、Chris Noring、Anirban Mukherjee、Ornella Altunyan、Ruth Yakubu 和 Amy Boyd + +**🎨 感谢我们的插画师** Tomomi Imura、Dasani Madipalli 和 Jen Looper + +**🙏 特别感谢 🙏 我们的微软学生大使作者、审稿人及内容贡献者**，尤其是 Rishit Dagli、Muhammad Sakib Khan Inan、Rohan Raj、Alexandru Petrescu、Abhishek Jaiswal、Nawrin Tabassum、Ioan Samuila 和 Snigdha Agarwal + +**🤩 额外感谢微软学生大使 Eric Wanjau、Jasleen Sondhi 和 Vidushi Gupta 为我们的 R 课程做出的贡献！** + +# 入门指南 + +执行以下步骤： +1. **Fork 仓库**：点击本页右上角的“Fork”按钮。 +2. **克隆仓库**：`git clone https://github.com/microsoft/ML-For-Beginners.git` + +> [在我们的 Microsoft Learn 集合中查看本课程的所有额外资源](https://learn.microsoft.com/en-us/collections/qrqzamz1nn2wx3?WT.mc_id=academic-77952-bethanycheum) + +> 🔧 **需要帮助？** 请查阅我们的[故障排除指南](TROUBLESHOOTING.md)，解决安装、设置及课程运行的问题。 + +**[学生](https://aka.ms/student-page)**，使用本课程，请将整个仓库 fork 到你自己的 GitHub 账户，并单独或小组完成练习： + +- 从课前测验开始。 +- 阅读课程内容并完成相关活动，在每个知识点处暂停并思考。 +- 尽量通过理解课程内容来创建项目，而不是直接运行解决方案代码；解决方案代码可在每个项目导向课程的 `/solution` 文件夹中找到。 +- 参加课后测验。 +- 完成挑战任务。 +- 完成作业。 +- 完成一组课程后，访问[讨论区](https://github.com/microsoft/ML-For-Beginners/discussions)并通过填写相应的 PAT 评估表“公开学习”。‘PAT’ 是一个进度评估工具，这是你填写的一份评分表，帮助你进一步学习。你也可以对其他人的 PAT 作出反馈，共同学习。 + +> 进一步学习，我们推荐跟随这些[Microsoft Learn](https://docs.microsoft.com/en-us/users/jenlooper-2911/collections/k7o7tg1gp306q4?WT.mc_id=academic-77952-leestott)模块和学习路径。 + +**教师**，我们提供了[使用本课程的建议](for-teachers.md)。 + +--- + +## 视频讲解 + +部分课程提供短视频形式。您可以在课程中查看所有这些视频，或访问[微软开发者频道上初学者机器学习视频播放列表](https://aka.ms/ml-beginners-videos)，点击下方图片观看。 + +[![初学者机器学习横幅](../../translated_images/zh-CN/ml-for-beginners-video-banner.63f694a100034bc6.webp)](https://aka.ms/ml-beginners-videos) + +--- + +## 团队介绍 + +[![宣传视频](../../images/ml.gif)](https://youtu.be/Tj1XWrDSYJU) + +**动图由** [Mohit Jaisal](https://linkedin.com/in/mohitjaisal) 制作 + +> 🎥 点击上图观看关于项目及其创建者的视频！ + +--- + +## 教学理念 + +我们在设计此课程时选定了两大教学原则：确保课程是动手的**项目驱动**，并且包含**频繁测验**。此外，课程贯穿了统一的**主题**，以增强整体连贯性。 + +确保内容与项目相结合，使学习过程更具吸引力，从而增强概念的记忆效果。此外，课前小测验帮助学生确定学习目标，课后测验则促进巩固知识。该课程设计灵活有趣，可以全程学习，也可以部分学习。项目起步简单，到第12周会逐渐变得复杂。课程此外包含有关机器学习实际应用的后记，可用作额外加分或讨论基础。 + +> 请查阅我们的[行为准则](CODE_OF_CONDUCT.md)、[贡献指南](CONTRIBUTING.md)、[翻译说明](TRANSLATIONS.md)和[故障排除](TROUBLESHOOTING.md)指南。我们欢迎您的建设性反馈！ + +## 每节课程包含 + +- 可选的手绘笔记 +- 可选的补充视频 +- 视频讲解（部分课程） +- [课前热身测验](https://ff-quizzes.netlify.app/en/ml/) +- 书面课程内容 +- 项目课程包含构建项目的逐步指导 +- 知识点检查 +- 挑战任务 +- 补充阅读材料 +- 作业 +- [课后测验](https://ff-quizzes.netlify.app/en/ml/) + +> **关于语言说明**：这些课程主要用 Python 编写，但很多课程也提供 R 语言版本。要完成 R 课程，请到 `/solution` 文件夹中查找带有 `.rmd` 扩展名的文件，它代表**R Markdown**文件，即将代码块（R 或其他语言）和一个指导如何格式化输出（如PDF）的 `YAML` 头部嵌入到一个 Markdown 文档中。因此，它是数据科学创作的优秀框架，因为你可以将代码、代码输出和你的想法一并写入 Markdown。R Markdown 文档也可以渲染成 PDF、HTML 或 Word 等输出格式。 +> **关于测验的说明**：所有测验都包含在[测验应用文件夹](../../quiz-app)中，共52个测验，每个测验包含三个问题。测验链接嵌入在课程中，但测验应用可以在本地运行；请按照`quiz-app`文件夹中的说明在本地托管或部署到 Azure。 + +| 课程编号 | 主题 | 课程分组 | 学习目标 | 相关课程 | 作者 | +| :------: | :------------------------------------------------------------: | :------------------------------------------: | ---------------------------------------------------------------------------------------------------------------------------- | :-------------------------------------------------------------------------------------------------------------------------------------: | :--------------------------------------------------: | +| 01 | 机器学习简介 | [介绍](1-Introduction/README.md) | 学习机器学习背后的基本概念 | [课程](1-Introduction/1-intro-to-ML/README.md) | Muhammad | +| 02 | 机器学习的历史 | [介绍](1-Introduction/README.md) | 了解该领域背后的历史 | [课程](1-Introduction/2-history-of-ML/README.md) | Jen 和 Amy | +| 03 | 公平性与机器学习 | [介绍](1-Introduction/README.md) | 学生在构建和应用机器学习模型时应考虑的重要哲学性公平问题是什么？ | [课程](1-Introduction/3-fairness/README.md) | Tomomi | +| 04 | 机器学习技术 | [介绍](1-Introduction/README.md) | 机器学习研究人员使用哪些技术来构建机器学习模型？ | [课程](1-Introduction/4-techniques-of-ML/README.md) | Chris 和 Jen | +| 05 | 回归简介 | [回归](2-Regression/README.md) | 使用 Python 和 Scikit-learn 开始回归模型的学习 | [Python](2-Regression/1-Tools/README.md) • [R](../../2-Regression/1-Tools/solution/R/lesson_1.html) | Jen • Eric Wanjau | +| 06 | 北美南瓜价格 🎃 | [回归](2-Regression/README.md) | 可视化并清理数据以准备机器学习 | [Python](2-Regression/2-Data/README.md) • [R](../../2-Regression/2-Data/solution/R/lesson_2.html) | Jen • Eric Wanjau | +| 07 | 北美南瓜价格 🎃 | [回归](2-Regression/README.md) | 构建线性和多项式回归模型 | [Python](2-Regression/3-Linear/README.md) • [R](../../2-Regression/3-Linear/solution/R/lesson_3.html) | Jen 和 Dmitry • Eric Wanjau | +| 08 | 北美南瓜价格 🎃 | [回归](2-Regression/README.md) | 构建逻辑回归模型 | [Python](2-Regression/4-Logistic/README.md) • [R](../../2-Regression/4-Logistic/solution/R/lesson_4.html) | Jen • Eric Wanjau | +| 09 | Web 应用 🔌 | [Web App](3-Web-App/README.md) | 构建一个使用您训练模型的网页应用 | [Python](3-Web-App/1-Web-App/README.md) | Jen | +| 10 | 分类简介 | [分类](4-Classification/README.md) | 清理、准备并可视化您的数据；分类简介 | [Python](4-Classification/1-Introduction/README.md) • [R](../../4-Classification/1-Introduction/solution/R/lesson_10.html) | Jen 和 Cassie • Eric Wanjau | +| 11 | 美味的亚洲和印度美食 🍜 | [分类](4-Classification/README.md) | 分类器简介 | [Python](4-Classification/2-Classifiers-1/README.md) • [R](../../4-Classification/2-Classifiers-1/solution/R/lesson_11.html) | Jen 和 Cassie • Eric Wanjau | +| 12 | 美味的亚洲和印度美食 🍜 | [分类](4-Classification/README.md) | 更多分类器 | [Python](4-Classification/3-Classifiers-2/README.md) • [R](../../4-Classification/3-Classifiers-2/solution/R/lesson_12.html) | Jen 和 Cassie • Eric Wanjau | +| 13 | 美味的亚洲和印度美食 🍜 | [分类](4-Classification/README.md) | 使用您的模型构建推荐网页应用 | [Python](4-Classification/4-Applied/README.md) | Jen | +| 14 | 聚类简介 | [聚类](5-Clustering/README.md) | 清理、准备并可视化您的数据；聚类简介 | [Python](5-Clustering/1-Visualize/README.md) • [R](../../5-Clustering/1-Visualize/solution/R/lesson_14.html) | Jen • Eric Wanjau | +| 15 | 探索尼日利亚音乐品味 🎧 | [聚类](5-Clustering/README.md) | 探索 K-均值聚类方法 | [Python](5-Clustering/2-K-Means/README.md) • [R](../../5-Clustering/2-K-Means/solution/R/lesson_15.html) | Jen • Eric Wanjau | +| 16 | 自然语言处理简介 ☕️ | [自然语言处理](6-NLP/README.md) | 通过构建简单的机器人学习自然语言处理基础 | [Python](6-NLP/1-Introduction-to-NLP/README.md) | Stephen | +| 17 | 常见的 NLP 任务 ☕️ | [自然语言处理](6-NLP/README.md) | 通过了解处理语言结构时所需的常见任务，深化您的 NLP 知识 | [Python](6-NLP/2-Tasks/README.md) | Stephen | +| 18 | 翻译和情感分析 ♥️ | [自然语言处理](6-NLP/README.md) | 使用简·奥斯汀进行翻译和情感分析 | [Python](6-NLP/3-Translation-Sentiment/README.md) | Stephen | +| 19 | 欧洲浪漫酒店 ♥️ | [自然语言处理](6-NLP/README.md) | 使用酒店评论进行情感分析 1 | [Python](6-NLP/4-Hotel-Reviews-1/README.md) | Stephen | +| 20 | 欧洲浪漫酒店 ♥️ | [自然语言处理](6-NLP/README.md) | 使用酒店评论进行情感分析 2 | [Python](6-NLP/5-Hotel-Reviews-2/README.md) | Stephen | +| 21 | 时间序列预测简介 | [时间序列](7-TimeSeries/README.md) | 时间序列预测简介 | [Python](7-TimeSeries/1-Introduction/README.md) | Francesca | +| 22 | ⚡️ 世界电力使用 ⚡️ - 使用 ARIMA 进行时间序列预测 | [时间序列](7-TimeSeries/README.md) | 使用 ARIMA 进行时间序列预测 | [Python](7-TimeSeries/2-ARIMA/README.md) | Francesca | +| 23 | ⚡️ 世界电力使用 ⚡️ - 使用 SVR 进行时间序列预测 | [时间序列](7-TimeSeries/README.md) | 使用支持向量回归器进行时间序列预测 | [Python](7-TimeSeries/3-SVR/README.md) | Anirban | +| 24 | 强化学习简介 | [强化学习](8-Reinforcement/README.md) | 使用 Q 学习入门强化学习 | [Python](8-Reinforcement/1-QLearning/README.md) | Dmitry | +| 25 | 帮助彼得躲避狼！🐺 | [强化学习](8-Reinforcement/README.md) | 强化学习 Gym | [Python](8-Reinforcement/2-Gym/README.md) | Dmitry | +| 附录 | 现实世界的机器学习场景与应用 | [野外机器学习](9-Real-World/README.md) | 经典机器学习的有趣且发人深省的现实应用 | [课程](9-Real-World/1-Applications/README.md) | 团队 | +| 附录 | 使用 RAI 仪表盘进行机器学习模型调试 | [野外机器学习](9-Real-World/README.md) | 使用负责任的 AI 仪表盘组件进行机器学习模型调试 | [课程](9-Real-World/2-Debugging-ML-Models/README.md) | Ruth Yakubu | + +> [在我们的 Microsoft Learn 集合中查找本课程的所有附加资源](https://learn.microsoft.com/en-us/collections/qrqzamz1nn2wx3?WT.mc_id=academic-77952-bethanycheum) + +## 离线访问 + +您可以通过使用[Docsify](https://docsify.js.org/#/)离线运行此文档。分叉此仓库，在您的本地机器上[安装 Docsify](https://docsify.js.org/#/quickstart)，然后在此仓库的根文件夹中键入`docsify serve`。该网站将通过本地端口3000提供服务：`localhost:3000`。 + +## PDF 文件 + +在[这里](https://microsoft.github.io/ML-For-Beginners/pdf/readme.pdf)找到带有链接的课程大纲的 PDF 文件。 + +## 🎒 其他课程 + +我们的团队还制作其他课程！请查看： + + +### LangChain +[![LangChain4j 初学者](https://img.shields.io/badge/LangChain4j%20for%20Beginners-22C55E?style=for-the-badge&&labelColor=E5E7EB&color=0553D6)](https://aka.ms/langchain4j-for-beginners) +[![LangChain.js 初学者](https://img.shields.io/badge/LangChain.js%20for%20Beginners-22C55E?style=for-the-badge&labelColor=E5E7EB&color=0553D6)](https://aka.ms/langchainjs-for-beginners?WT.mc_id=m365-94501-dwahlin) + +--- + +### Azure / Edge / MCP / Agents +[![AZD 初学者](https://img.shields.io/badge/AZD%20for%20Beginners-0078D4?style=for-the-badge&labelColor=E5E7EB&color=0078D4)](https://github.com/microsoft/AZD-for-beginners?WT.mc_id=academic-105485-koreyst) +[![Edge AI 初学者](https://img.shields.io/badge/Edge%20AI%20for%20Beginners-00B8E4?style=for-the-badge&labelColor=E5E7EB&color=00B8E4)](https://github.com/microsoft/edgeai-for-beginners?WT.mc_id=academic-105485-koreyst) +[![MCP 初学者](https://img.shields.io/badge/MCP%20for%20Beginners-009688?style=for-the-badge&labelColor=E5E7EB&color=009688)](https://github.com/microsoft/mcp-for-beginners?WT.mc_id=academic-105485-koreyst) +[![AI 代理初学者](https://img.shields.io/badge/AI%20Agents%20for%20Beginners-00C49A?style=for-the-badge&labelColor=E5E7EB&color=00C49A)](https://github.com/microsoft/ai-agents-for-beginners?WT.mc_id=academic-105485-koreyst) + +--- + +### 生成式 AI 系列 +[![Generative AI for Beginners](https://img.shields.io/badge/Generative%20AI%20for%20Beginners-8B5CF6?style=for-the-badge&labelColor=E5E7EB&color=8B5CF6)](https://github.com/microsoft/generative-ai-for-beginners?WT.mc_id=academic-105485-koreyst) +[![Generative AI (.NET)](https://img.shields.io/badge/Generative%20AI%20(.NET)-9333EA?style=for-the-badge&labelColor=E5E7EB&color=9333EA)](https://github.com/microsoft/Generative-AI-for-beginners-dotnet?WT.mc_id=academic-105485-koreyst) +[![Generative AI (Java)](https://img.shields.io/badge/Generative%20AI%20(Java)-C084FC?style=for-the-badge&labelColor=E5E7EB&color=C084FC)](https://github.com/microsoft/generative-ai-for-beginners-java?WT.mc_id=academic-105485-koreyst) +[![Generative AI (JavaScript)](https://img.shields.io/badge/Generative%20AI%20(JavaScript)-E879F9?style=for-the-badge&labelColor=E5E7EB&color=E879F9)](https://github.com/microsoft/generative-ai-with-javascript?WT.mc_id=academic-105485-koreyst) + +--- + +### 核心学习 +[![ML for Beginners](https://img.shields.io/badge/ML%20for%20Beginners-22C55E?style=for-the-badge&labelColor=E5E7EB&color=22C55E)](https://aka.ms/ml-beginners?WT.mc_id=academic-105485-koreyst) +[![Data Science for Beginners](https://img.shields.io/badge/Data%20Science%20for%20Beginners-84CC16?style=for-the-badge&labelColor=E5E7EB&color=84CC16)](https://aka.ms/datascience-beginners?WT.mc_id=academic-105485-koreyst) +[![AI for Beginners](https://img.shields.io/badge/AI%20for%20Beginners-A3E635?style=for-the-badge&labelColor=E5E7EB&color=A3E635)](https://aka.ms/ai-beginners?WT.mc_id=academic-105485-koreyst) +[![Cybersecurity for Beginners](https://img.shields.io/badge/Cybersecurity%20for%20Beginners-F97316?style=for-the-badge&labelColor=E5E7EB&color=F97316)](https://github.com/microsoft/Security-101?WT.mc_id=academic-96948-sayoung) +[![Web Dev for Beginners](https://img.shields.io/badge/Web%20Dev%20for%20Beginners-EC4899?style=for-the-badge&labelColor=E5E7EB&color=EC4899)](https://aka.ms/webdev-beginners?WT.mc_id=academic-105485-koreyst) +[![IoT for Beginners](https://img.shields.io/badge/IoT%20for%20Beginners-14B8A6?style=for-the-badge&labelColor=E5E7EB&color=14B8A6)](https://aka.ms/iot-beginners?WT.mc_id=academic-105485-koreyst) +[![XR Development for Beginners](https://img.shields.io/badge/XR%20Development%20for%20Beginners-38BDF8?style=for-the-badge&labelColor=E5E7EB&color=38BDF8)](https://github.com/microsoft/xr-development-for-beginners?WT.mc_id=academic-105485-koreyst) + +--- + +### Copilot 系列 +[![Copilot for AI Paired Programming](https://img.shields.io/badge/Copilot%20for%20AI%20Paired%20Programming-FACC15?style=for-the-badge&labelColor=E5E7EB&color=FACC15)](https://aka.ms/GitHubCopilotAI?WT.mc_id=academic-105485-koreyst) +[![Copilot for C#/.NET](https://img.shields.io/badge/Copilot%20for%20C%23/.NET-FBBF24?style=for-the-badge&labelColor=E5E7EB&color=FBBF24)](https://github.com/microsoft/mastering-github-copilot-for-dotnet-csharp-developers?WT.mc_id=academic-105485-koreyst) +[![Copilot Adventure](https://img.shields.io/badge/Copilot%20Adventure-FDE68A?style=for-the-badge&labelColor=E5E7EB&color=FDE68A)](https://github.com/microsoft/CopilotAdventures?WT.mc_id=academic-105485-koreyst) + + +## 获取帮助 + +如果您遇到困难或对构建 AI 应用程序有任何疑问，请加入学习者和经验丰富的开发者们的讨论社区 MCP。这里是一个支持性的社区，欢迎提问并自由分享知识。 + +[![Microsoft Foundry Discord](https://dcbadge.limes.pink/api/server/nTYy5BXMWG)](https://discord.gg/nTYy5BXMWG) + +如果您在构建过程中有产品反馈或遇到错误，请访问： + +[![Microsoft Foundry Developer Forum](https://img.shields.io/badge/GitHub-Microsoft_Foundry_Developer_Forum-blue?style=for-the-badge&logo=github&color=000000&logoColor=fff)](https://aka.ms/foundry/forum) + +--- + + +**免责声明**： +本文件由 AI 翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 翻译。尽管我们力求准确，但请注意自动翻译可能包含错误或不准确之处。原始语言版本的文件应被视为权威来源。对于重要信息，建议采用专业人工翻译。我们不对因使用本翻译而引起的任何误解或误释承担任何责任。 + \ No newline at end of file diff --git a/translations/zh-CN/SECURITY.md b/translations/zh-CN/SECURITY.md new file mode 100644 index 000000000..592a633a1 --- /dev/null +++ b/translations/zh-CN/SECURITY.md @@ -0,0 +1,42 @@ +## 安全性 + +微软非常重视我们软件产品和服务的安全性，这包括通过我们的 GitHub 组织管理的所有源代码库，这些组织包括 [Microsoft](https://github.com/Microsoft)、[Azure](https://github.com/Azure)、[DotNet](https://github.com/dotnet)、[AspNet](https://github.com/aspnet)、[Xamarin](https://github.com/xamarin) 以及 [我们的 GitHub 组织](https://opensource.microsoft.com/)。 + +如果您认为在任何微软拥有的代码库中发现了符合 [微软安全漏洞定义](https://docs.microsoft.com/previous-versions/tn-archive/cc751383(v=technet.10)?WT.mc_id=academic-77952-leestott) 的安全漏洞，请按照以下描述向我们报告。 + +## 报告安全问题 + +**请不要通过公开的 GitHub 问题报告安全漏洞。** + +相反，请通过微软安全响应中心 (MSRC) 报告，网址为 [https://msrc.microsoft.com/create-report](https://msrc.microsoft.com/create-report)。 + +如果您希望在不登录的情况下提交报告，可以发送电子邮件至 [secure@microsoft.com](mailto:secure@microsoft.com)。如果可能，请使用我们的 PGP 密钥加密您的消息；您可以从 [微软安全响应中心 PGP 密钥页面](https://www.microsoft.com/en-us/msrc/pgp-key-msrc) 下载密钥。 + +您应该会在 24 小时内收到回复。如果由于某种原因未收到回复，请通过电子邮件进行跟进，以确保我们收到了您的原始消息。更多信息可以在 [microsoft.com/msrc](https://www.microsoft.com/msrc) 找到。 + +请尽可能提供以下所需信息，以帮助我们更好地理解问题的性质和范围： + + * 问题类型（例如缓冲区溢出、SQL 注入、跨站脚本攻击等） + * 与问题表现相关的源文件的完整路径 + * 受影响源代码的位置（标签/分支/提交或直接 URL） + * 重现问题所需的任何特殊配置 + * 重现问题的逐步说明 + * 概念验证或漏洞利用代码（如果可能） + * 问题的影响，包括攻击者可能如何利用该问题 + +这些信息将帮助我们更快地处理您的报告。 + +如果您是为漏洞赏金计划报告问题，更完整的报告可能会获得更高的赏金奖励。请访问我们的 [微软漏洞赏金计划](https://microsoft.com/msrc/bounty) 页面，了解有关我们当前计划的更多详情。 + +## 首选语言 + +我们希望所有交流均使用英语。 + +## 政策 + +微软遵循 [协调漏洞披露](https://www.microsoft.com/en-us/msrc/cvd) 原则。 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/SUPPORT.md b/translations/zh-CN/SUPPORT.md new file mode 100644 index 000000000..ed355fe39 --- /dev/null +++ b/translations/zh-CN/SUPPORT.md @@ -0,0 +1,20 @@ +# 支持 +## 如何提交问题并获得帮助 + +在提交问题之前，请先查看我们的 [故障排除指南](TROUBLESHOOTING.md)，以解决安装、设置和运行课程时的常见问题。 + +此项目使用 GitHub Issues 来跟踪错误和功能请求。在提交新问题之前，请先搜索现有问题以避免重复。对于新问题，请将您的错误或功能请求作为新问题提交。 + +如果您需要帮助或对使用此项目有疑问，也可以： +- 查看 [故障排除指南](TROUBLESHOOTING.md) +- 访问我们的 [Discord 讨论 #ml-for-beginners 频道](https://aka.ms/foundry/discord) +- 提交问题 + +## Microsoft 支持政策 + +对该存储库的支持仅限于上述资源。 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/TROUBLESHOOTING.md b/translations/zh-CN/TROUBLESHOOTING.md new file mode 100644 index 000000000..59a4f7ee7 --- /dev/null +++ b/translations/zh-CN/TROUBLESHOOTING.md @@ -0,0 +1,601 @@ +# 故障排查指南 + +本指南帮助您解决使用《机器学习初学者》课程时常见的问题。如果您在这里找不到解决方案，请查看我们的[Discord讨论](https://aka.ms/foundry/discord)或[提交问题](https://github.com/microsoft/ML-For-Beginners/issues)。 + +## 目录 + +- [安装问题](../..) +- [Jupyter Notebook问题](../..) +- [Python包问题](../..) +- [R环境问题](../..) +- [测验应用问题](../..) +- [数据和文件路径问题](../..) +- [常见错误信息](../..) +- [性能问题](../..) +- [环境和配置](../..) + +--- + +## 安装问题 + +### Python安装 + +**问题**：`python: command not found` + +**解决方案**： +1. 从[python.org](https://www.python.org/downloads/)安装Python 3.8或更高版本 +2. 验证安装：`python --version`或`python3 --version` +3. 在macOS/Linux上，可能需要使用`python3`而不是`python` + +**问题**：多个Python版本导致冲突 + +**解决方案**： +```bash +# Use virtual environments to isolate projects +python -m venv ml-env + +# Activate virtual environment +# On Windows: +ml-env\Scripts\activate +# On macOS/Linux: +source ml-env/bin/activate +``` + +### Jupyter安装 + +**问题**：`jupyter: command not found` + +**解决方案**： +```bash +# Install Jupyter +pip install jupyter + +# Or with pip3 +pip3 install jupyter + +# Verify installation +jupyter --version +``` + +**问题**：Jupyter无法在浏览器中启动 + +**解决方案**： +```bash +# Try specifying the browser +jupyter notebook --browser=chrome + +# Or copy the URL with token from terminal and paste in browser manually +# Look for: http://localhost:8888/?token=... +``` + +### R安装 + +**问题**：R包无法安装 + +**解决方案**： +```r +# Ensure you have the latest R version +# Install packages with dependencies +install.packages(c("tidyverse", "tidymodels", "caret"), dependencies = TRUE) + +# If compilation fails, try installing binary versions +install.packages("package-name", type = "binary") +``` + +**问题**：IRkernel在Jupyter中不可用 + +**解决方案**： +```r +# In R console +install.packages('IRkernel') +IRkernel::installspec(user = TRUE) +``` + +--- + +## Jupyter Notebook问题 + +### 内核问题 + +**问题**：内核不断崩溃或重启 + +**解决方案**： +1. 重启内核：`Kernel → Restart` +2. 清除输出并重启：`Kernel → Restart & Clear Output` +3. 检查内存问题（参见[性能问题](../..)） +4. 尝试逐个运行单元格以识别问题代码 + +**问题**：选择了错误的Python内核 + +**解决方案**： +1. 检查当前内核：`Kernel → Change Kernel` +2. 选择正确的Python版本 +3. 如果内核缺失，请创建： +```bash +python -m ipykernel install --user --name=ml-env +``` + +**问题**：内核无法启动 + +**解决方案**： +```bash +# Reinstall ipykernel +pip uninstall ipykernel +pip install ipykernel + +# Register the kernel again +python -m ipykernel install --user +``` + +### Notebook单元格问题 + +**问题**：单元格正在运行但不显示输出 + +**解决方案**： +1. 检查单元格是否仍在运行（查看`[*]`指示器） +2. 重启内核并运行所有单元格：`Kernel → Restart & Run All` +3. 检查浏览器控制台是否有JavaScript错误（按F12） + +**问题**：无法运行单元格——点击“运行”无响应 + +**解决方案**： +1. 检查Jupyter服务器是否仍在终端中运行 +2. 刷新浏览器页面 +3. 关闭并重新打开Notebook +4. 重启Jupyter服务器 + +--- + +## Python包问题 + +### 导入错误 + +**问题**：`ModuleNotFoundError: No module named 'sklearn'` + +**解决方案**： +```bash +pip install scikit-learn + +# Common ML packages for this course +pip install scikit-learn pandas numpy matplotlib seaborn +``` + +**问题**：`ImportError: cannot import name 'X' from 'sklearn'` + +**解决方案**： +```bash +# Update scikit-learn to latest version +pip install --upgrade scikit-learn + +# Check version +python -c "import sklearn; print(sklearn.__version__)" +``` + +### 版本冲突 + +**问题**：包版本不兼容错误 + +**解决方案**： +```bash +# Create a new virtual environment +python -m venv fresh-env +source fresh-env/bin/activate # or fresh-env\Scripts\activate on Windows + +# Install packages fresh +pip install jupyter scikit-learn pandas numpy matplotlib seaborn + +# If specific version needed +pip install scikit-learn==1.3.0 +``` + +**问题**：`pip install`因权限错误失败 + +**解决方案**： +```bash +# Install for current user only +pip install --user package-name + +# Or use virtual environment (recommended) +python -m venv venv +source venv/bin/activate +pip install package-name +``` + +### 数据加载问题 + +**问题**：加载CSV文件时出现`FileNotFoundError` + +**解决方案**： +```python +import os +# Check current working directory +print(os.getcwd()) + +# Use relative paths from notebook location +df = pd.read_csv('../../data/filename.csv') + +# Or use absolute paths +df = pd.read_csv('/full/path/to/data/filename.csv') +``` + +--- + +## R环境问题 + +### 包安装 + +**问题**：包安装因编译错误失败 + +**解决方案**： +```r +# Install binary version (Windows/macOS) +install.packages("package-name", type = "binary") + +# Update R to latest version if packages require it +# Check R version +R.version.string + +# Install system dependencies (Linux) +# For Ubuntu/Debian, in terminal: +# sudo apt-get install r-base-dev +``` + +**问题**：`tidyverse`无法安装 + +**解决方案**： +```r +# Install dependencies first +install.packages(c("rlang", "vctrs", "pillar")) + +# Then install tidyverse +install.packages("tidyverse") + +# Or install components individually +install.packages(c("dplyr", "ggplot2", "tidyr", "readr")) +``` + +### RMarkdown问题 + +**问题**：RMarkdown无法渲染 + +**解决方案**： +```r +# Install/update rmarkdown +install.packages("rmarkdown") + +# Install pandoc if needed +install.packages("pandoc") + +# For PDF output, install tinytex +install.packages("tinytex") +tinytex::install_tinytex() +``` + +--- + +## 测验应用问题 + +### 构建和安装 + +**问题**：`npm install`失败 + +**解决方案**： +```bash +# Clear npm cache +npm cache clean --force + +# Remove node_modules and package-lock.json +rm -rf node_modules package-lock.json + +# Reinstall +npm install + +# If still fails, try with legacy peer deps +npm install --legacy-peer-deps +``` + +**问题**：端口8080已被占用 + +**解决方案**： +```bash +# Use different port +npm run serve -- --port 8081 + +# Or find and kill process using port 8080 +# On Linux/macOS: +lsof -ti:8080 | xargs kill -9 + +# On Windows: +netstat -ano | findstr :8080 +taskkill /PID /F +``` + +### 构建错误 + +**问题**：`npm run build`失败 + +**解决方案**： +```bash +# Check Node.js version (should be 14+) +node --version + +# Update Node.js if needed +# Then clean install +rm -rf node_modules package-lock.json +npm install +npm run build +``` + +**问题**：Linting错误阻止构建 + +**解决方案**： +```bash +# Fix auto-fixable issues +npm run lint -- --fix + +# Or temporarily disable linting in build +# (not recommended for production) +``` + +--- + +## 数据和文件路径问题 + +### 路径问题 + +**问题**：运行Notebook时找不到数据文件 + +**解决方案**： +1. **始终从包含Notebook的目录运行** + ```bash + cd /path/to/lesson/folder + jupyter notebook + ``` + +2. **检查代码中的相对路径** + ```python + # Correct path from notebook location + df = pd.read_csv('../data/filename.csv') + + # Not from your terminal location + ``` + +3. **必要时使用绝对路径** + ```python + import os + base_path = os.path.dirname(os.path.abspath(__file__)) + data_path = os.path.join(base_path, 'data', 'filename.csv') + ``` + +### 数据文件丢失 + +**问题**：数据集文件丢失 + +**解决方案**： +1. 检查数据是否应该在仓库中——大多数数据集都已包含 +2. 某些课程可能需要下载数据——请查看课程README +3. 确保您已拉取最新的更改： + ```bash + git pull origin main + ``` + +--- + +## 常见错误信息 + +### 内存错误 + +**错误**：处理数据时出现`MemoryError`或内核崩溃 + +**解决方案**： +```python +# Load data in chunks +for chunk in pd.read_csv('large_file.csv', chunksize=10000): + process(chunk) + +# Or read only needed columns +df = pd.read_csv('file.csv', usecols=['col1', 'col2']) + +# Free memory when done +del large_dataframe +import gc +gc.collect() +``` + +### 收敛警告 + +**警告**：`ConvergenceWarning: Maximum number of iterations reached` + +**解决方案**： +```python +from sklearn.linear_model import LogisticRegression + +# Increase max iterations +model = LogisticRegression(max_iter=1000) + +# Or scale your features first +from sklearn.preprocessing import StandardScaler +scaler = StandardScaler() +X_scaled = scaler.fit_transform(X) +``` + +### 绘图问题 + +**问题**：Jupyter中不显示图表 + +**解决方案**： +```python +# Enable inline plotting +%matplotlib inline + +# Import pyplot +import matplotlib.pyplot as plt + +# Show plot explicitly +plt.plot(data) +plt.show() +``` + +**问题**：Seaborn图表显示异常或报错 + +**解决方案**： +```python +import warnings +warnings.filterwarnings('ignore', category=UserWarning) + +# Update to compatible version +# pip install --upgrade seaborn matplotlib +``` + +### Unicode/编码错误 + +**问题**：读取文件时出现`UnicodeDecodeError` + +**解决方案**： +```python +# Specify encoding explicitly +df = pd.read_csv('file.csv', encoding='utf-8') + +# Or try different encoding +df = pd.read_csv('file.csv', encoding='latin-1') + +# For errors='ignore' to skip problematic characters +df = pd.read_csv('file.csv', encoding='utf-8', errors='ignore') +``` + +--- + +## 性能问题 + +### Notebook执行缓慢 + +**问题**：Notebook运行速度非常慢 + +**解决方案**： +1. **重启内核释放内存**：`Kernel → Restart` +2. **关闭未使用的Notebook**以释放资源 +3. **使用较小的数据样本进行测试**： + ```python + # Work with subset during development + df_sample = df.sample(n=1000) + ``` +4. **分析代码性能**以找到瓶颈： + ```python + %time operation() # Time single operation + %timeit operation() # Time with multiple runs + ``` + +### 高内存使用 + +**问题**：系统内存不足 + +**解决方案**： +```python +# Check memory usage +df.info(memory_usage='deep') + +# Optimize data types +df['column'] = df['column'].astype('int32') # Instead of int64 + +# Drop unnecessary columns +df = df[['col1', 'col2']] # Keep only needed columns + +# Process in batches +for batch in np.array_split(df, 10): + process(batch) +``` + +--- + +## 环境和配置 + +### 虚拟环境问题 + +**问题**：虚拟环境未激活 + +**解决方案**： +```bash +# Windows +python -m venv venv +venv\Scripts\activate.bat + +# macOS/Linux +python3 -m venv venv +source venv/bin/activate + +# Check if activated (should show venv name in prompt) +which python # Should point to venv python +``` + +**问题**：包已安装但在Notebook中找不到 + +**解决方案**： +```bash +# Ensure notebook uses the correct kernel +# Install ipykernel in your venv +pip install ipykernel +python -m ipykernel install --user --name=ml-env --display-name="Python (ml-env)" + +# In Jupyter: Kernel → Change Kernel → Python (ml-env) +``` + +### Git问题 + +**问题**：无法拉取最新更改——出现合并冲突 + +**解决方案**： +```bash +# Stash your changes +git stash + +# Pull latest +git pull origin main + +# Reapply your changes +git stash pop + +# If conflicts, resolve manually or: +git checkout --theirs path/to/file # Take remote version +git checkout --ours path/to/file # Keep your version +``` + +### VS Code集成 + +**问题**：Jupyter Notebook无法在VS Code中打开 + +**解决方案**： +1. 在VS Code中安装Python扩展 +2. 在VS Code中安装Jupyter扩展 +3. 选择正确的Python解释器：`Ctrl+Shift+P` → "Python: Select Interpreter" +4. 重启VS Code + +--- + +## 其他资源 + +- **Discord讨论**：[在#ml-for-beginners频道提问并分享解决方案](https://aka.ms/foundry/discord) +- **Microsoft Learn**：[机器学习初学者模块](https://learn.microsoft.com/en-us/collections/qrqzamz1nn2wx3?WT.mc_id=academic-77952-bethanycheum) +- **视频教程**：[YouTube播放列表](https://aka.ms/ml-beginners-videos) +- **问题追踪器**：[报告错误](https://github.com/microsoft/ML-For-Beginners/issues) + +--- + +## 仍有问题？ + +如果您尝试了上述解决方案但仍然遇到问题： + +1. **搜索现有问题**：[GitHub Issues](https://github.com/microsoft/ML-For-Beginners/issues) +2. **查看Discord讨论**：[Discord Discussions](https://aka.ms/foundry/discord) +3. **提交新问题**：包括以下内容： + - 您的操作系统及版本 + - Python/R版本 + - 错误信息（完整回溯） + - 重现问题的步骤 + - 您已尝试的解决方法 + +我们随时为您提供帮助！🚀 + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/docs/_sidebar.md b/translations/zh-CN/docs/_sidebar.md new file mode 100644 index 000000000..d912a1dfd --- /dev/null +++ b/translations/zh-CN/docs/_sidebar.md @@ -0,0 +1,48 @@ +- 简介 + - [机器学习简介](../1-Introduction/1-intro-to-ML/README.md) + - [机器学习的历史](../1-Introduction/2-history-of-ML/README.md) + - [机器学习与公平性](../1-Introduction/3-fairness/README.md) + - [机器学习的技术](../1-Introduction/4-techniques-of-ML/README.md) + +- 回归 + - [实用工具](../2-Regression/1-Tools/README.md) + - [数据](../2-Regression/2-Data/README.md) + - [线性回归](../2-Regression/3-Linear/README.md) + - [逻辑回归](../2-Regression/4-Logistic/README.md) + +- 构建一个网页应用 + - [网页应用](../3-Web-App/1-Web-App/README.md) + +- 分类 + - [分类简介](../4-Classification/1-Introduction/README.md) + - [分类器 1](../4-Classification/2-Classifiers-1/README.md) + - [分类器 2](../4-Classification/3-Classifiers-2/README.md) + - [应用机器学习](../4-Classification/4-Applied/README.md) + +- 聚类 + - [数据可视化](../5-Clustering/1-Visualize/README.md) + - [K-Means](../5-Clustering/2-K-Means/README.md) + +- 自然语言处理 + - [自然语言处理简介](../6-NLP/1-Introduction-to-NLP/README.md) + - [自然语言处理任务](../6-NLP/2-Tasks/README.md) + - [翻译与情感分析](../6-NLP/3-Translation-Sentiment/README.md) + - [酒店评论 1](../6-NLP/4-Hotel-Reviews-1/README.md) + - [酒店评论 2](../6-NLP/5-Hotel-Reviews-2/README.md) + +- 时间序列预测 + - [时间序列预测简介](../7-TimeSeries/1-Introduction/README.md) + - [ARIMA](../7-TimeSeries/2-ARIMA/README.md) + - [SVR](../7-TimeSeries/3-SVR/README.md) + +- 强化学习 + - [Q-Learning](../8-Reinforcement/1-QLearning/README.md) + - [Gym](../8-Reinforcement/2-Gym/README.md) + +- 真实世界中的机器学习 + - [应用](../9-Real-World/1-Applications/README.md) + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/for-teachers.md b/translations/zh-CN/for-teachers.md new file mode 100644 index 000000000..7792f4c1d --- /dev/null +++ b/translations/zh-CN/for-teachers.md @@ -0,0 +1,28 @@ +## 给教育工作者 + +您想在课堂上使用这套课程吗？请随意使用！ + +事实上，您可以直接在 GitHub 上使用它，通过 GitHub Classroom 来实现。 + +为此，您需要 fork 此仓库。您需要为每节课创建一个单独的仓库，因此需要将每个文件夹提取到一个独立的仓库中。这样，[GitHub Classroom](https://classroom.github.com/classrooms) 就可以单独识别每节课。 + +这些[完整的说明](https://github.blog/2020-03-18-set-up-your-digital-classroom-with-github-classroom/)可以帮助您了解如何设置您的课堂。 + +## 按现有形式使用仓库 + +如果您希望按当前形式使用此仓库，而不使用 GitHub Classroom，也完全可以实现。您需要与您的学生沟通，共同决定要学习的课程。 + +在在线教学环境中（如 Zoom、Teams 或其他平台），您可以为测验创建分组讨论室，并指导学生做好学习准备。然后邀请学生参加测验，并在规定时间内以“问题”的形式提交答案。如果您希望学生公开协作完成作业，也可以采用类似的方式。 + +如果您更倾向于私密的教学方式，可以让学生逐课 fork 课程到他们自己的 GitHub 私有仓库，并授予您访问权限。这样，他们可以私下完成测验和作业，并通过您课堂仓库中的问题提交给您。 + +在在线课堂环境中，有很多方法可以让这套课程发挥作用。请告诉我们哪种方式最适合您！ + +## 请告诉我们您的想法！ + +我们希望这套课程能够满足您和您学生的需求。请通过[反馈](https://forms.microsoft.com/Pages/ResponsePage.aspx?id=v4j5cvGGr0GRqy180BHbR2humCsRZhxNuI79cm6n0hRUQzRVVU9VVlU5UlFLWTRLWlkyQUxORTg5WS4u)告诉我们您的意见！ + +--- + +**免责声明**： +本文档使用AI翻译服务 [Co-op Translator](https://github.com/Azure/co-op-translator) 进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/quiz-app/README.md b/translations/zh-CN/quiz-app/README.md new file mode 100644 index 000000000..faf68f16c --- /dev/null +++ b/translations/zh-CN/quiz-app/README.md @@ -0,0 +1,118 @@ +# 测验 + +这些测验是 ML 课程（https://aka.ms/ml-beginners）的课前和课后测验。 + +## 项目设置 + +``` +npm install +``` + +### 编译并热加载用于开发 + +``` +npm run serve +``` + +### 编译并压缩用于生产 + +``` +npm run build +``` + +### 检查并修复文件 + +``` +npm run lint +``` + +### 自定义配置 + +请参阅 [配置参考](https://cli.vuejs.org/config/)。 + +致谢：感谢此测验应用的原始版本：https://github.com/arpan45/simple-quiz-vue + +## 部署到 Azure + +以下是帮助您入门的分步指南： + +1. Fork 一个 GitHub 仓库 +确保您的静态 Web 应用代码在您的 GitHub 仓库中。Fork 此仓库。 + +2. 创建一个 Azure 静态 Web 应用 +- 创建一个 [Azure 账户](http://azure.microsoft.com) +- 访问 [Azure 门户](https://portal.azure.com) +- 点击“创建资源”，搜索“静态 Web 应用”。 +- 点击“创建”。 + +3. 配置静态 Web 应用 +- 基本信息： + - 订阅：选择您的 Azure 订阅。 + - 资源组：创建一个新的资源组或使用现有的资源组。 + - 名称：为您的静态 Web 应用提供一个名称。 + - 区域：选择离您的用户最近的区域。 + +- #### 部署详情： + - 来源：选择“GitHub”。 + - GitHub 账户：授权 Azure 访问您的 GitHub 账户。 + - 组织：选择您的 GitHub 组织。 + - 仓库：选择包含静态 Web 应用的仓库。 + - 分支：选择您希望部署的分支。 + +- #### 构建详情： + - 构建预设：选择您的应用所使用的框架（例如 React、Angular、Vue 等）。 + - 应用位置：指定包含应用代码的文件夹（例如，如果在根目录则为 /）。 + - API 位置：如果有 API，请指定其位置（可选）。 + - 输出位置：指定生成构建输出的文件夹（例如 build 或 dist）。 + +4. 审核并创建 +审核您的设置并点击“创建”。Azure 将设置必要的资源，并在您的仓库中创建一个 GitHub Actions 工作流。 + +5. GitHub Actions 工作流 +Azure 会自动在您的仓库中创建一个 GitHub Actions 工作流文件（.github/workflows/azure-static-web-apps-.yml）。此工作流将处理构建和部署过程。 + +6. 监控部署 +进入 GitHub 仓库中的“Actions”标签页。 +您应该会看到一个工作流正在运行。此工作流将构建并部署您的静态 Web 应用到 Azure。 +工作流完成后，您的应用将上线并可通过提供的 Azure URL 访问。 + +### 示例工作流文件 + +以下是 GitHub Actions 工作流文件的示例： +name: Azure Static Web Apps CI/CD +``` +on: + push: + branches: + - main + pull_request: + types: [opened, synchronize, reopened, closed] + branches: + - main + +jobs: + build_and_deploy_job: + runs-on: ubuntu-latest + name: Build and Deploy Job + steps: + - uses: actions/checkout@v2 + - name: Build And Deploy + id: builddeploy + uses: Azure/static-web-apps-deploy@v1 + with: + azure_static_web_apps_api_token: ${{ secrets.AZURE_STATIC_WEB_APPS_API_TOKEN }} + repo_token: ${{ secrets.GITHUB_TOKEN }} + action: "upload" + app_location: "/quiz-app" # App source code path + api_location: ""API source code path optional + output_location: "dist" #Built app content directory - optional +``` + +### 其他资源 +- [Azure 静态 Web 应用文档](https://learn.microsoft.com/azure/static-web-apps/getting-started) +- [GitHub Actions 文档](https://docs.github.com/actions/use-cases-and-examples/deploying/deploying-to-azure-static-web-app) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。应以原始语言的文档作为权威来源。对于重要信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/sketchnotes/LICENSE.md b/translations/zh-CN/sketchnotes/LICENSE.md new file mode 100644 index 000000000..dde8df6a2 --- /dev/null +++ b/translations/zh-CN/sketchnotes/LICENSE.md @@ -0,0 +1,190 @@ +归属-相同方式共享 4.0 国际许可协议 + +======================================================================= + +创作共用组织（Creative Commons）不是律师事务所，也不提供法律服务或法律建议。分发创作共用公共许可协议并不会建立律师与客户或其他关系。创作共用以“现状”形式提供其许可协议及相关信息。创作共用对其许可协议、根据其条款和条件许可的任何材料或相关信息不作任何保证。创作共用在法律允许的最大范围内对因使用其许可协议而导致的损害不承担任何责任。 + +使用创作共用公共许可协议 + +创作共用公共许可协议提供了一套标准条款和条件，创作者和其他权利持有人可以使用这些条款和条件来分享原创作品及其他受版权和以下公共许可中规定的某些其他权利约束的材料。以下注意事项仅供参考，并不详尽，也不构成我们许可协议的一部分。 + + 对许可人的注意事项：我们的公共许可协议旨在供那些有权向公众授权使用材料的人使用，这些材料的使用方式通常受到版权和某些其他权利的限制。我们的许可协议是不可撤销的。许可人在应用许可协议之前应阅读并理解所选许可协议的条款和条件。许可人还应在应用我们的许可协议之前确保获得所有必要的权利，以便公众能够按照预期重新使用材料。许可人应明确标记任何不受许可协议约束的材料，包括其他创作共用许可的材料，或根据版权的例外或限制使用的材料。更多关于许可人的注意事项： + wiki.creativecommons.org/Considerations_for_licensors + + 对公众的注意事项：通过使用我们的公共许可协议，许可人授予公众在指定条款和条件下使用许可材料的权限。如果由于任何原因不需要许可人的授权，例如适用的版权例外或限制，则该使用不受许可协议的约束。我们的许可协议仅授予许可人在版权和某些其他权利范围内有权授予的权限。对许可材料的使用可能仍因其他原因受到限制，包括其他人对材料拥有版权或其他权利。许可人可能会提出特殊要求，例如要求标记或描述所有更改。虽然我们的许可协议不要求这样做，但我们鼓励您在合理的情况下尊重这些要求。更多关于公众的注意事项： + wiki.creativecommons.org/Considerations_for_licensees + +======================================================================= + +创作共用归属-相同方式共享 4.0 国际公共许可协议 + +通过行使以下定义的许可权利，您接受并同意受创作共用归属-相同方式共享 4.0 国际公共许可协议（“公共许可协议”）条款和条件的约束。如果此公共许可协议可被解释为合同，则您因接受这些条款和条件而获得许可权利，许可人因根据这些条款和条件提供许可材料而获得利益。 + +第1节——定义。 + + a. 改编材料指受版权及类似权利约束的材料，这些材料基于许可材料进行衍生或改编，并且许可材料被翻译、修改、编排、转化或以其他方式更改，需获得许可人持有的版权及类似权利的许可。对于本公共许可协议而言，如果许可材料是音乐作品、表演或录音，则改编材料总是在许可材料与动态影像同步时产生。 + + b. 改编者许可指您根据本公共许可协议的条款和条件应用于您对改编材料的贡献的版权及类似权利的许可。 + + c. BY-SA 兼容许可指创作共用批准的、与本公共许可协议基本等同的许可，列于 creativecommons.org/compatiblelicenses。 + + d. 版权及类似权利指与版权密切相关的权利，包括但不限于表演权、广播权、录音权以及独特数据库权利，无论这些权利如何被标记或分类。对于本公共许可协议而言，第2节(b)(1)-(2)中规定的权利不属于版权及类似权利。 + + e. 有效技术措施指在没有适当授权的情况下，根据1996年12月20日通过的《世界知识产权组织版权条约》第11条及/或类似国际协议的法律规定，不得规避的措施。 + + f. 例外和限制指适用于您使用许可材料的版权及类似权利的任何例外或限制，例如合理使用、合理交易等。 + + g. 许可元素指创作共用公共许可协议名称中列出的许可属性。本公共许可协议的许可元素为归属和相同方式共享。 + + h. 许可材料指许可人应用本公共许可协议的艺术或文学作品、数据库或其他材料。 + + i. 许可权利指根据本公共许可协议的条款和条件授予您的权利，这些权利仅限于适用于您使用许可材料的所有版权及类似权利，并且许可人有权许可这些权利。 + + j. 许可人指根据本公共许可协议授予权利的个人或实体。 + + k. 分享指通过任何需要许可权利的方式或过程向公众提供材料，例如复制、公开展示、公开表演、分发、传播、通信或进口，以及以公众可以在其选择的时间和地点访问材料的方式向公众提供材料。 + + l. 独特数据库权利指除版权外，根据1996年3月11日欧洲议会和理事会通过的《数据库法律保护指令》（Directive 96/9/EC）及其修订或后续版本，以及全球范围内其他基本等同的权利所产生的权利。 + + m. 您指根据本公共许可协议行使许可权利的个人或实体。“您的”具有相应含义。 + +第2节——范围。 + + a. 许可授予。 + + 1. 根据本公共许可协议的条款和条件，许可人特此授予您全球范围内的、免版税的、不可转授权的、非独占的、不可撤销的许可权，以行使许可材料中的许可权利： + + a. 复制和分享许可材料，无论是全部还是部分；以及 + + b. 生产、复制和分享改编材料。 + + 2. 例外和限制。为避免疑义，如果例外和限制适用于您的使用，则本公共许可协议不适用，您无需遵守其条款和条件。 + + 3. 期限。本公共许可协议的期限在第6节(a)中规定。 + + 4. 媒体和格式；允许技术修改。许可人授权您在现有或未来创建的所有媒体和格式中行使许可权利，并进行必要的技术修改以实现这一点。许可人放弃并/或同意不主张任何权利或权限，以禁止您进行必要的技术修改以行使许可权利，包括必要的技术修改以规避有效技术措施。对于本公共许可协议，仅进行本第2节(a)(4)授权的修改从未产生改编材料。 + + 5. 下游接收者。 + + a. 许可人的要约——许可材料。每个许可材料的接收者自动收到许可人的要约，以根据本公共许可协议的条款和条件行使许可权利。 + + b. 许可人的额外要约——改编材料。每个从您处接收改编材料的接收者自动收到许可人的要约，以根据您应用的改编者许可的条件行使改编材料中的许可权利。 + + c. 无下游限制。您不得对许可材料施加任何额外或不同的条款和条件，也不得应用任何有效技术措施，如果这样做会限制任何接收者行使许可权利。 + + 6. 无认可。本公共许可协议中的任何内容均不构成或可被解释为许可您主张或暗示您与许可人或其他指定接收归属的人有联系，或您的使用获得许可人或其他人的认可、支持或官方地位。 + + b. 其他权利。 + + 1. 道德权利，例如完整性权利，不在本公共许可协议的许可范围内，也不包括宣传权、隐私权和/或其他类似的个性权利；然而，在可能的范围内，许可人放弃并/或同意不主张许可人持有的任何此类权利，以允许您在有限范围内行使许可权利，但不包括其他情况。 + + 2. 专利权和商标权不在本公共许可协议的许可范围内。 + + 3. 在可能的范围内，许可人放弃任何直接或通过收集机构根据任何自愿或可放弃的法定或强制许可计划向您收取版税的权利。在所有其他情况下，许可人明确保留收取此类版税的权利。 + +第3节——许可条件。 + +您行使许可权利明确以以下条件为前提。 + + a. 归属。 + + 1. 如果您分享许可材料（包括以修改形式），您必须： + + a. 保留以下内容（如果许可人随许可材料提供）： + + i. 许可材料创作者及任何其他指定接收归属者的身份信息，以许可人要求的任何合理方式（包括使用化名，如果指定）； + + ii. 版权声明； + + iii. 提及本公共许可协议的声明； + + iv. 提及免责声明的声明； + + v. 在合理可行的范围内，许可材料的URI或超链接； + + b. 表明您是否修改了许可材料，并保留任何先前修改的指示；以及 + + c. 表明许可材料是根据本公共许可协议授权的，并包括本公共许可协议的文本或URI或超链接。 + + 2. 您可以根据您分享许可材料的媒介、方式和上下文，以任何合理方式满足第3节(a)(1)中的条件。例如，可以通过提供URI或超链接到包含所需信息的资源来满足条件。 + + 3. 如果许可人要求，您必须在合理可行的范围内移除第3节(a)(1)(A)中要求的任何信息。 + + b. 相同方式共享。 + + 除第3节(a)中的条件外，如果您分享您制作的改编材料，还需满足以下条件。 + + 1. 您应用的改编者许可必须是具有相同许可元素的创作共用许可协议（本版本或更高版本），或BY-SA兼容许可。 + + 2. 您必须包括您应用的改编者许可的文本或URI或超链接。您可以根据您分享改编材料的媒介、方式和上下文，以任何合理方式满足此条件。 + + 3. 您不得对改编材料施加任何额外或不同的条款和条件，也不得应用任何有效技术措施，这些行为会限制根据您应用的改编者许可授予的权利的行使。 + +第4节——独特数据库权利。 + +如果许可权利包括适用于您使用许可材料的独特数据库权利： + + a. 为避免疑义，第2节(a)(1)授予您提取、重用、复制和分享数据库内容全部或实质部分的权利； + + b. 如果您将数据库内容全部或实质部分包含在您拥有独特数据库权利的数据库中： +权利，然后您拥有“独创性数据库权利”的数据库（但不包括其单独内容）属于改编材料， + +包括用于第3(b)节的目的；以及 +c. 如果您共享数据库的全部或大部分内容，则必须遵守第3(a)节中的条件。 + +为避免疑义，本第4节是对您的义务的补充，而不是替代您在本公共许可下的义务，当许可权利包括其他版权和类似权利时。 + + +第5节——免责声明和责任限制。 + +a. 除非许可方另行单独承诺，在可能的范围内，许可方按“现状”和“可用”提供许可材料，并且不对许可材料作出任何形式的陈述或保证，无论是明示、暗示、法定或其他。这包括但不限于所有权保证、适销性、特定用途适用性、非侵权、无潜在或其他缺陷、准确性或是否存在错误（无论是否已知或可发现）。如果法律不允许完全或部分免责声明，则此免责声明可能不适用于您。 + +b. 在可能的范围内，无论基于何种法律理论（包括但不限于过失）或其他原因，许可方在任何情况下均不对您因本公共许可或使用许可材料而产生的任何直接、特殊、间接、附带、后果性、惩罚性、示范性或其他损失、成本、费用或损害承担责任，即使许可方已被告知可能发生此类损失、成本、费用或损害。如果法律不允许完全或部分责任限制，则此限制可能不适用于您。 + +c. 上述免责声明和责任限制应以尽可能接近绝对免责声明和放弃所有责任的方式进行解释。 + + +第6节——期限和终止。 + +a. 本公共许可适用于此处许可的版权和类似权利的期限。然而，如果您未能遵守本公共许可，则您在本公共许可下的权利将自动终止。 + +b. 如果您的使用许可材料的权利根据第6(a)节终止，则该权利可恢复： + +1. 如果在您发现违规行为后的30天内纠正违规行为，则自违规行为纠正之日起自动恢复；或 +2. 经许可方明确恢复。 + +为避免疑义，本第6(b)节不影响许可方因您违反本公共许可而寻求补救的任何权利。 + +c. 为避免疑义，许可方也可以随时根据单独的条款或条件提供许可材料或停止分发许可材料；然而，这不会终止本公共许可。 + +d. 第1、5、6、7和8节在本公共许可终止后仍然有效。 + + +第7节——其他条款和条件。 + +a. 除非许可方明确同意，否则许可方不受您传达的任何额外或不同条款或条件的约束。 + +b. 关于许可材料的任何安排、理解或协议未在此处说明的，均与本公共许可的条款和条件分离且独立。 + + +第8节——解释。 + +a. 为避免疑义，本公共许可不会，也不应被解释为减少、限制、约束或对任何在未获得本公共许可许可的情况下合法使用许可材料的行为施加条件。 + +b. 在可能的范围内，如果本公共许可的任何条款被认为不可执行，则应自动调整至使其可执行的最低程度。如果该条款无法调整，则应从本公共许可中删除，而不影响其余条款和条件的可执行性。 + +c. 除非许可方明确同意，否则本公共许可的任何条款或条件均不得被放弃，也不得因未遵守而被视为同意。 + +d. 本公共许可中的任何内容均不构成或可被解释为对适用于许可方或您的任何特权和豁免的限制或放弃，包括任何司法辖区或权威的法律程序。 + + +======================================================================= + +Creative Commons不是其公共许可的当事方。然而，Creative Commons可以选择将其公共许可应用于其发布的材料，在这些情况下将被视为“许可方”。Creative Commons公共许可的文本已通过CC0公共领域奉献声明献给公共领域。除用于表明材料是根据Creative Commons公共许可共享或根据Creative Commons政策（发布于creativecommons.org/policies）允许的有限目的外，Creative Commons不授权使用“Creative Commons”商标或任何其他Creative Commons商标或标志，未经其事先书面同意，包括但不限于与任何未经授权修改其公共许可或任何其他关于许可材料使用的安排、理解或协议相关的情况。为避免疑义，本段不构成公共许可的一部分。 + +您可以通过creativecommons.org联系Creative Commons。 + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file diff --git a/translations/zh-CN/sketchnotes/README.md b/translations/zh-CN/sketchnotes/README.md new file mode 100644 index 000000000..16a3343be --- /dev/null +++ b/translations/zh-CN/sketchnotes/README.md @@ -0,0 +1,12 @@ +所有课程的手绘笔记可以在这里下载。 + +🖨 如果需要打印高分辨率版本，可以在 [这个仓库](https://github.com/girliemac/a-picture-is-worth-a-1000-words/tree/main/ml/tiff) 中找到 TIFF 格式文件。 + +🎨 制作人: [Tomomi Imura](https://github.com/girliemac) （Twitter: [@girlie_mac](https://twitter.com/girlie_mac)） + +[![CC BY-SA 4.0](https://img.shields.io/badge/License-CC%20BY--SA%204.0-lightgrey.svg)](https://creativecommons.org/licenses/by-sa/4.0/) + +--- + +**免责声明**： +本文档使用AI翻译服务[Co-op Translator](https://github.com/Azure/co-op-translator)进行翻译。尽管我们努力确保翻译的准确性，但请注意，自动翻译可能包含错误或不准确之处。原始语言的文档应被视为权威来源。对于关键信息，建议使用专业人工翻译。我们不对因使用此翻译而产生的任何误解或误读承担责任。 \ No newline at end of file