Remarks on Reverse Pinsker Inequalities

Remarks on Reverse Pinsker Inequalities

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...

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Veröffentlicht in:Problems of information transmission 2022-10, Vol.58 (4), p.297-299
Hauptverfasser: Gui, X. Y., Huang, Y. C.
Format: Artikel
Sprache:eng
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Communications Engineering
Control
Electrical Engineering
Engineering
Inequalities
Information Storage and Retrieval
Information Theory
Networks
Systems Theory
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Zusammenfassung: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.
ISSN:0032-9460
1608-3253
DOI:10.1134/S0032946022040019