From 0a2ae9a5fc1af697c7835ae22cc5424a1204ab8b Mon Sep 17 00:00:00 2001 From: benjas <909336740@qq.com> Date: Tue, 6 Apr 2021 15:09:19 +0800 Subject: [PATCH] Add. Model evaluation and model selection --- .../李航——统计学习方法/README.md | 64 +++++++++++++++++- .../assets/1617691844212.png | Bin 0 -> 26321 bytes .../assets/1617691949906.png | Bin 0 -> 33579 bytes .../assets/1617692106744.png | Bin 0 -> 22526 bytes .../assets/1617692141368.png | Bin 0 -> 23454 bytes .../assets/1617692653540.png | Bin 0 -> 170471 bytes .../assets/1617692872918.png | Bin 0 -> 30249 bytes .../assets/1617692942593.png | Bin 0 -> 100792 bytes 8 files changed, 63 insertions(+), 1 deletion(-) create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617691844212.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617691949906.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617692106744.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617692141368.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617692653540.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617692872918.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1617692942593.png diff --git a/机器学习算法理论及应用/李航——统计学习方法/README.md b/机器学习算法理论及应用/李航——统计学习方法/README.md index cbd449f..dc226a6 100644 --- a/机器学习算法理论及应用/李航——统计学习方法/README.md +++ b/机器学习算法理论及应用/李航——统计学习方法/README.md @@ -41,7 +41,7 @@ Supervised learning Element of statistical learning -模型(假设空间): +#### 模型(假设空间) > 假设所有的点都在空间中,每个点是一个模型或者函数 @@ -81,3 +81,65 @@ Element of statistical learning > 让为0的概率越来越大,让为1的概率越来越小 +经验风险最小化: + +![1617691844212](assets/1617691844212.png) + +> 对每个样本跑一遍,将所有的loss平均计算,loss越大表示离真实的越大,loss越小说明里真实越接近,模型也越好 + +结构风险最小化: + +![1617691949906](assets/1617691949906.png) + +> 加入正则项,防止过拟合,也就是模型过于复杂,过于只适合当前数据,导致预测其它数据的时候很差(泛化能力)。 + +算法:挑选一个合适的算法,使得可以求解最优模型 + + + +### 模型评估与选择 + +Model evaluation and model selection + +训练误差: + +![1617692106744](assets/1617692106744.png) + +> 对所有训练数据的结果做一个平均,误差越大模型可能越大。但如果以训练集来评估,就想考试一样,如果考试题目平时已经见过,当然能做出来,要解决的是平均没见过的类似题目。 + +测试误差: + +![1617692141368](assets/1617692141368.png) + +> 利用测试集去测试模型的训练情况。 + +验证集:我们通常来讲,会挑选测试集表现最好的,但是也有总可能就是测试集刚好和训练集的“题目”类似,那它当然能表现的好,这时候就需要引入验证集。我们一般选择验证集表现最好的模型。 + +多项式拟合问题: + +![1617692653540](assets/1617692653540.png) + +> 左上欠拟合严重,右上欠拟合,左下拟合正常,右下过拟合。实际中怎么判断过拟合,即训练集上误差非常低,但是在其它数据集上的误差非常高,一般就是过拟合。 + + + +### 正则化与交叉验证 + +Regularization and cross validation + +防止过拟合 + +最小化结构风险: + +![1617692872918](assets/1617692872918.png) + +交叉验证: + +数据集随机划分为以下3部分: + +- 训练集:模型的训练 +- 测试集:模型的选择 +- 验证集:模型的评估 + +![1617692942593](assets/1617692942593.png) + diff --git a/机器学习算法理论及应用/李航——统计学习方法/assets/1617691844212.png b/机器学习算法理论及应用/李航——统计学习方法/assets/1617691844212.png new file mode 100644 index 0000000000000000000000000000000000000000..df64dd156d9abbcc35b6a5621de36fa9214c9506 GIT binary patch literal 26321 zcmXtuw73O#hu~7&irsv7?){U= zOp-~?$(FUAwRViEvJ4suF$x?U9GaZ0BnS@f13T=w4FD1LXjfTI1_wt8CnqVU;hlfh zZIwnUll%RtElRdPC#M`CI22KA=Ir2h^7ia}^>1KTubXGlhys*Eoy;q6dXkKOx z2BEi+#yTyhc+CW*yjj0Z>*D;xgkz-1v;am>YS=QNfB-ziwe&yZdfwaVj?Kq=g}Z_X 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