- https://doi.org/10.1134/s0032946022030024
On One Extremal Problem for Mutual Information
- Jul 1, 2022
- Problems of Information Transmission
- V V Prelov
Abstract
We address the problem of finding the maximum of the mutual information $$I(X;Y)$$ of two finite-valued random variables $$X$$ and $$Y$$ given only the value of their coupling, i.e., the probability $$\Pr\{X=Y\}$$ . We obtain explicit lower and upper bounds on this maximum, which in some cases are optimal.
