Article
Version 1
Preserved in Portico This version is not peer-reviewed
Rényi Entropy Power Inequalities via Normal Transport and Rotation
Version 1
: Received: 7 July 2018 / Approved: 9 July 2018 / Online: 9 July 2018 (13:40:54 CEST)
Version 2 : Received: 22 August 2018 / Approved: 23 August 2018 / Online: 23 August 2018 (04:24:58 CEST)
Version 2 : Received: 22 August 2018 / Approved: 23 August 2018 / Online: 23 August 2018 (04:24:58 CEST)
A peer-reviewed article of this Preprint also exists.
Rioul, O. Rényi Entropy Power Inequalities via Normal Transport and Rotation. Entropy 2018, 20, 641. Rioul, O. Rényi Entropy Power Inequalities via Normal Transport and Rotation. Entropy 2018, 20, 641.
Abstract
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.
Keywords
Rényi entropy; entropy power inequalities; transportation arguments; normal distributions; escort distributions; log-concave distributions
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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