A Generalization of Costa's Entropy Power Inequality

Luca Tamanini

doi:10.1109/TIT.2022.3159132

A Generalization of Costa's Entropy Power Inequality

Luca Tamanini^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo in rivista

Abstract

Aim of this short note is to study Shannon's entropy power along entropic interpolations, thus generalizing Costa's concavity theorem. We shall provide two proofs of independent interest: the former by G-calculus, hence applicable to more abstract frameworks; the latter with an explicit remainder term, reminiscent of Villani (IEEE Trans. Inf. Theory, 2006), allowing us to characterize the case of equality.

Lingua originale	English
pagine (da-a)	4224-4229
Numero di pagine	6
Rivista	IEEE Transactions on Information Theory
Volume	68
DOI	https://doi.org/10.1109/TIT.2022.3159132
Stato di pubblicazione	Pubblicato - 2022

Keywords

Entropy
Schrodinger problem
entropy power
heat equation
information theory

Accesso al documento

10.1109/TIT.2022.3159132

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AB - Aim of this short note is to study Shannon's entropy power along entropic interpolations, thus generalizing Costa's concavity theorem. We shall provide two proofs of independent interest: the former by G-calculus, hence applicable to more abstract frameworks; the latter with an explicit remainder term, reminiscent of Villani (IEEE Trans. Inf. Theory, 2006), allowing us to characterize the case of equality.

KW - Entropy

KW - Schrodinger problem

KW - entropy power

KW - heat equation

KW - information theory

KW - Entropy

KW - Schrodinger problem

KW - entropy power

KW - heat equation

KW - information theory

UR - http://hdl.handle.net/10807/232464

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DO - 10.1109/TIT.2022.3159132

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JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

ER -

A Generalization of Costa's Entropy Power Inequality

Abstract

Keywords

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