Entropic Isoperimetric Inequalities

Sergey G. Bobkov; Cyril Roberto

doi:10.1007/978-3-031-26979-0_3

Entropic Isoperimetric Inequalities

Sergey G. Bobkov, Cyril Roberto

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We discuss optimal bounds on the Rényi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic isoperimetric inequalities.

Original language	English (US)
Title of host publication	Progress in Probability
Publisher	Birkhauser
Pages	97-121
Number of pages	25
DOIs	https://doi.org/10.1007/978-3-031-26979-0_3
State	Published - 2023

Publication series

Name	Progress in Probability
Volume	80
ISSN (Print)	1050-6977
ISSN (Electronic)	2297-0428

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Fisher information
Isoperimetric inequality
Rényi entropy

Publisher link

10.1007/978-3-031-26979-0_3

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title = "Entropic Isoperimetric Inequalities",

abstract = "We discuss optimal bounds on the R{\'e}nyi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic isoperimetric inequalities.",

keywords = "Fisher information, Isoperimetric inequality, R{\'e}nyi entropy",

author = "Bobkov, {Sergey G.} and Cyril Roberto",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2023",

doi = "10.1007/978-3-031-26979-0_3",

language = "English (US)",

series = "Progress in Probability",

publisher = "Birkhauser",

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TY - CHAP

T1 - Entropic Isoperimetric Inequalities

AU - Bobkov, Sergey G.

AU - Roberto, Cyril

PY - 2023

Y1 - 2023

N2 - We discuss optimal bounds on the Rényi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic isoperimetric inequalities.

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KW - Fisher information

KW - Isoperimetric inequality

KW - Rényi entropy

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DO - 10.1007/978-3-031-26979-0_3

M3 - Chapter

AN - SCOPUS:85161821800

T3 - Progress in Probability

SP - 97

EP - 121

BT - Progress in Probability

PB - Birkhauser

ER -

Entropic Isoperimetric Inequalities

Abstract

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Bibliographical note

Keywords

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