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调整chapter3

Sm1les 7 năm trước cách đây
mục cha
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1 tập tin đã thay đổi với 1 bổ sung1 xóa
  1. 1 1
      docs/chapter3/chapter3.md

+ 1 - 1
docs/chapter3/chapter3.md

@@ -32,7 +32,7 @@ $$
 \end{aligned}
 \end{aligned}
 $$
 $$
 若令$ \boldsymbol{x}=(x_1,x_2,...,x_m)^T $,$ \boldsymbol{x}_{d} $为去均值后的$ \boldsymbol{x} $,$ \boldsymbol{y}=(y_1,y_2,...,y_m)^T $,$ \boldsymbol{y}_{d} $为去均值后的$ \boldsymbol{y} $,其中$ \boldsymbol{x} $、$ \boldsymbol{x}_{d} $、$ \boldsymbol{y} $、$ \boldsymbol{y}_{d} $均为m行1列的列向量,代入上式可得:
 若令$ \boldsymbol{x}=(x_1,x_2,...,x_m)^T $,$ \boldsymbol{x}_{d} $为去均值后的$ \boldsymbol{x} $,$ \boldsymbol{y}=(y_1,y_2,...,y_m)^T $,$ \boldsymbol{y}_{d} $为去均值后的$ \boldsymbol{y} $,其中$ \boldsymbol{x} $、$ \boldsymbol{x}_{d} $、$ \boldsymbol{y} $、$ \boldsymbol{y}_{d} $均为m行1列的列向量,代入上式可得:
-$$ w=\cfrac{\boldsymbol{y}_{d}^T\boldsymbol{x}_{d}}{\boldsymbol{x}_d^T\boldsymbol{x}_{d}}$$
+$$ w=\cfrac{\boldsymbol{x}_{d}^T\boldsymbol{y}_{d}}{\boldsymbol{x}_d^T\boldsymbol{x}_{d}}$$
 ## 3.10
 ## 3.10
 
 
 $$ \cfrac{\partial E_{\hat{\boldsymbol w}}}{\partial \hat{\boldsymbol w}}=2\mathbf{X}^T(\mathbf{X}\hat{\boldsymbol w}-\boldsymbol{y}) $$
 $$ \cfrac{\partial E_{\hat{\boldsymbol w}}}{\partial \hat{\boldsymbol w}}=2\mathbf{X}^T(\mathbf{X}\hat{\boldsymbol w}-\boldsymbol{y}) $$