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Answers for “当条件熵 H(X|Y) 为零时意味着什么?”

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When conditional entropy H(X|Y) is zero, it means there is no remaining uncertainty or surprise about X once Y is known. This implies that X is a deterministic function of Y, so all information about X is completely contained within Y.

Conditions: X and Y are discrete random variables.

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The exercise asks students to implement a Matlab function conditionalentropy(p) that computes the conditional entropy of X given Y from a 2D joint probability matrix p(x,y)p(x,y). It includes specific test cases to verify correctness, such as deterministic and uniform distributions.

Conditions: Input p is assumed to be a 2D joint probability array p(x,y)p(x,y).; Students may reuse existing entropy() and jointentropy() routines.