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@@ -124,11 +124,9 @@ $$
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$$
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$$
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其中,$\boldsymbol 1_k$为k维全1向量。
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其中,$\boldsymbol 1_k$为k维全1向量。
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运用拉格朗日乘子法可得,
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运用拉格朗日乘子法可得,
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-$$
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-J(\boldsymbol W)==\sum^m_{i=1}\boldsymbol W^T_i\boldsymbol C_i\boldsymbol W_i+\lambda(\boldsymbol W_i^T\boldsymbol 1_k-1)
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-$$
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$$\begin{aligned}
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$$\begin{aligned}
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-\cfrac{\partial J(\boldsymbol W)}{\partial \boldsymbol W_i} &=2\boldsymbol C_i\boldsymbol W_i+\lambda'\boldsymbol 1_k
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+J(\boldsymbol W)&=\sum^m_{i=1}\boldsymbol W^T_i\boldsymbol C_i\boldsymbol W_i+\lambda(\boldsymbol W_i^T\boldsymbol 1_k-1)\\
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+\cfrac{\partial J(\boldsymbol W)}{\partial \boldsymbol W_i} &=2\boldsymbol C_i\boldsymbol W_i+\lambda\boldsymbol 1_k
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\end{aligned}$$
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\end{aligned}$$
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令$\cfrac{\partial J(\boldsymbol W)}{\partial \boldsymbol W_i}=0$,故
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令$\cfrac{\partial J(\boldsymbol W)}{\partial \boldsymbol W_i}=0$,故
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$$\begin{aligned}
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$$\begin{aligned}
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