I have a random variable which is distribuited as a multinomial standard gaussian $z\sim N^d(0, I)$, and another r.v. that instead is distribuited as a bernoulli $\alpha \sim Bern(\pi)$. Is it possible to compute the mutual information analytically? If yes, can you show me all the steps to the results?
2026-02-23 10:01:24.1771840884
Mutual information between standard gaussian and bernoulli distribution
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