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2024年9月30日 (一) 09:54的版本

添加70字节、 2024年9月30日 (星期一)

第171行：第171行：

<math>

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P(\tilde{X}|\tilde{Y}=Y_0,f)=\frac{P(\tilde{X},\tilde{Y_0})}{P(\tilde{Y_0})}=\frac{P(\tilde{X_0})P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}=\frac{P(\tilde{Y_0}|\tilde{X})}{N\cdot P(\tilde{Y_0})}

+

P(\tilde{X}|\tilde{Y}=Y_0,f)=\frac{P(\tilde{X},\tilde{Y_0})}{P(\tilde{Y_0})}=\frac{P(\tilde{X_0})P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}=\frac{P(\tilde{Y_0}|\tilde{X})}{\#(\mathcal{X})\cdot P(\tilde{Y_0})}

</math>

第178行：第178行：

<math>

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ei(f,Y_0)=-D_{KL}(U||P(\tilde{X}|\tilde{Y}=Y_0,f)=\log N+\frac{1}{N}\sum_{\tilde{X}}\log\frac{P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}

+

ei(f,Y_0)=-D_{KL}(U||P(\tilde{X}|\tilde{Y}=Y_0,f)=\log \#(\mathcal{X})+\frac{1}{\#(\mathcal{X})}\sum_{\tilde{X}}\log\frac{P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}

</math>

第184行：第184行：

<math>

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EI=\frac{1}{N}\sum_{\tilde{X},\tilde{Y_0}}P(\tilde{Y_0}|\tilde{X})\log\frac{P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}=\mathbb{E}_{P(\tilde{Y_0}|\tilde{X})}(ei(f,Y_0))-\log N

+

EI=\frac{1}{\#(\mathcal{X})}\sum_{\tilde{X},\tilde{Y_0}}P(\tilde{Y_0}|\tilde{X})\log\frac{P(\tilde{Y_0}|\tilde{X})}{P(\tilde{Y_0})}=\mathbb{E}_{P(\tilde{Y_0}|\tilde{X})}(ei(f,Y_0))-\log \#(\mathcal{X})

</math>

Jake

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