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Answers for “为什么当变量独立时互信息等于零?”

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In the entropy Venn diagram, the left circle represents the entropy H(X)H(X) and the right circle represents H(Y)H(Y). Their intersection represents the mutual information I(X;Y)I(X;Y).

Conditions: Suitable for illustrating information decomposition between two discrete random variables XX and YY.

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Yes, mutual information is perfectly symmetric. The formula I(X;Y)=I(Y;X)I(X;Y) = I(Y;X) holds true.

Conditions: Applies to any pair of random variables XX and YY for which mutual information is defined.