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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

2 votes
0 answers
49 views

Do averaged binary symmetric channels maximize mutual information?

This is a refined version of Do binary symmetric channels maximize mutual information?, which was answered negatively. Let the random variables $(X, Y)$ be a doubly symmetric binary source with para …
Georg Pichler's user avatar
6 votes
2 answers
1k views

Do binary symmetric channels maximize mutual information?

Consider the following setup: $(X, Y)$ is a doubly symmetric binary source with parameter $0 < p < 1/2$, i.e., $X \sim \text{Bernoulli}(1/2)$, $Z \sim \text{Bernoulli}(p)$ and $Y = X \oplus Z$. Let $( …
Georg Pichler's user avatar