Variants of the Entropy Power Inequality

Sergey G. Bobkov; Arnaud Marsiglietti

doi:10.1109/TIT.2017.2764487

Variants of the Entropy Power Inequality

Sergey G. Bobkov, Arnaud Marsiglietti

School of Mathematics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

An extension of the entropy power inequality to the form N_r^α (X+Y) ≥ N_r^α (X) + N_r^α (Y) with arbitrary independent summands X and Y in R_n is obtained for the Rényi entropy and powers α ≥(r+1)/2.

Original language	English (US)
Article number	8076873
Pages (from-to)	7747-7752
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	63
Issue number	12
DOIs	https://doi.org/10.1109/TIT.2017.2764487
State	Published - Dec 2017

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

Entropy power inequality
Rényi entropy

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10.1109/TIT.2017.2764487

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title = "Variants of the Entropy Power Inequality",

abstract = "An extension of the entropy power inequality to the form Nrα (X+Y) ≥ Nrα (X) + Nrα (Y) with arbitrary independent summands X and Y in Rn is obtained for the R{\'e}nyi entropy and powers α ≥(r+1)/2.",

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AB - An extension of the entropy power inequality to the form Nrα (X+Y) ≥ Nrα (X) + Nrα (Y) with arbitrary independent summands X and Y in Rn is obtained for the Rényi entropy and powers α ≥(r+1)/2.

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KW - Rényi entropy

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Variants of the Entropy Power Inequality

Abstract

Bibliographical note

Keywords

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