Rényi Entropy Power Inequalities via Normal Transport and Rotation

Rényi Entropy Power Inequalities via Normal Transport and Rotation

Following a recent proof of Shannon’s entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented that uses transport arguments from normal densities and a change of variable by rotation. Simple arguments are given to re...

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Bibliographic Details
Main Author: Olivier Rioul
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Entropy
Subjects:
Rényi entropy
entropy power inequalities
transportation arguments
normal distributions
escort distributions
log-concave distributions
Online Access:http://www.mdpi.com/1099-4300/20/9/641

Internet

http://www.mdpi.com/1099-4300/20/9/641

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