俺様専用メモ - Cry's Blog

$H(x)=\sum_{y\in \mathcal{Y}(x)}P(y)\log P(y)=\sum_{y\in \mathcal{Y}(x)}P(y)\log\left(\frac{\prod_{c\in \mathcal{C}(y)}\phi(c)}{Z(x)}\right)=\sum_{y\in \mathcal{Y}(x)}P(y)\left(\sum_{c\in \mathcal{C}(y)}\log\phi(c)-\log Z(x)\right)=\sum_{y\in \mathcal{Y}(x)}P(y)\left(\sum_{c\in \mathcal{C}(y)}\log\phi(c)\right)-\log Z(x)$
っていうか手元に計算用紙がないよぉ〜．