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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 4, Pages 3–5
DOI: https://doi.org/10.31857/S0555292322040015 (Mi ppi2379) 		 
Information Theory

Remarks on reverse Pinsker inequalities

X. Y. Guia, Y. C. Huangbc

a School of Transportation Engineering, East China Jiaotong University, Nanchang, Jiangxi Province, People’s Republic of China
b Institut Galilée, LAGA, CNRS (UMR 7539), Université Sorbonne Paris Nord, Villetaneuse, France
c School of Mathematical Sciences, Nanjing Normal University, Nanjing, People’s Republic of China
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DOI: https://doi.org/10.31857/S0555292322040015
Abstract: In this note we propose a simplified approach to recent reverse Pinsker inequalities due to O. Binette. More precisely, we give direct proofs of optimal variational bounds on $f$-divergence with possible constraints on relative information extrema. Our arguments are closer in spirit to those of Sason and Verdú.
Keywords: Kullback–Leibler divergence, total variation, reverse Pinsker inequalities, $f$-divergence, convexity, sharp inequalities, extremizer.
Funding agency Grant number
National Natural Science Foundation of China 11801274
China Scholarship Council 202006865011
The research of Y.C. Huang was partially supported by the National NSF grant of China, no. 11801274. This note was completed while Y.C. Huang was on leave, funded by the CSC Postdoctoral/Visiting Scholar Program no. 202006865011, at LAGA, Université Sorbonne Paris Nord.
Received: 24.06.2022
Revised: 23.09.2022
Accepted: 24.09.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 4, Pages 297–299
DOI: https://doi.org/10.1134/S0032946022040019
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.72
Language: Russian
Citation: X. Y. Gui, Y. C. Huang, “Remarks on reverse Pinsker inequalities”, Probl. Peredachi Inf., 58:4 (2022), 3–5; Problems Inform. Transmission, 58:4 (2022), 297–299
Citation in format AMSBIB
\Bibitem{GuiHua22}
\by X.~Y.~Gui, Y.~C.~Huang
\paper Remarks on reverse Pinsker inequalities
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 4
\pages 3--5
\mathnet{http://mi.mathnet.ru/ppi2379}
\crossref{https://doi.org/10.31857/S0555292322040015}
\edn{https://elibrary.ru/EBBEJG}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 4
\pages 297--299
\crossref{https://doi.org/10.1134/S0032946022040019}
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