The conditional entropy of $Y$ given $X$ equals
$$H(Y|X)=\sum_{x}p(x)\cdot\sum_y p(y|x)\cdot\log\left(\frac 1 {p(y|x)}\right)$$
Which can be written as
$$H(Y|X)=\sum_{x}p(x)\cdot H(Y|X=x)$$
Is there a term for $H(Y|X=x)$?
2026-03-28 11:52:53.1774698773
Term for conditional entropy conditioned on a specific value?
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