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Mutual InformationΒΆ

Mutual information is

\[ I(X;Y) = \mathbb E_{p_{XY}} \ln \frac{P_{XY}}{P_X P_Y}. \]

Mutual information is closed related to KL divergence,

\[ I(X;Y) = D_{\mathrm{KL}} \left( P_{XY}(x,y) \parallel P_X(x) P_{Y}(y) \right). \]

Contributors: LM