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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 3, Pages 18–32
DOI: https://doi.org/10.31857/S0555292322030020 (Mi ppi2372) 		 
Information Theory

On one extremal problem for mutual information

V. V. Prelov

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292322030020
Abstract: Weaddressthe problemof finding the maximumofthe 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 $\mathrm{Pr}\{X = Y\}$. We obtain explicit lower and upper bounds on this maximum, which in some cases are optimal.
Keywords: mutual information, coupling of discrete probability distributions, error probability.
Received: 24.05.2022
Revised: 09.08.2022
Accepted: 09.08.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 3, Pages 217–230
DOI: https://doi.org/10.1134/S0032946022030024
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.72
Language: Russian
Citation: V. V. Prelov, “On one extremal problem for mutual information”, Probl. Peredachi Inf., 58:3 (2022), 18–32; Problems Inform. Transmission, 58:3 (2022), 217–230
Citation in format AMSBIB
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\by V.~V.~Prelov
\paper On one extremal problem for mutual information
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 3
\pages 18--32
\mathnet{http://mi.mathnet.ru/ppi2372}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4494024}
\edn{https://elibrary.ru/DZXJIO}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 3
\pages 217--230
\crossref{https://doi.org/10.1134/S0032946022030024}
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