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ML-For-Beginners/translations/zh/7-TimeSeries/3-SVR/working/notebook.ipynb

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{
"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": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>load</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012-01-01 00:00:00</th>\n",
" <td>2698.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-01 01:00:00</th>\n",
" <td>2558.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-01 02:00:00</th>\n",
" <td>2444.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-01 03:00:00</th>\n",
" <td>2402.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-01 04:00:00</th>\n",
" <td>2403.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
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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"
]
}
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