Preprint Article Version 1 This version is not peer-reviewed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)

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.

Journal reference: Entropy 2018, 20, 641
DOI: 10.3390/e20090641

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.

Subject Areas

Rényi entropy; entropy power inequalities; transportation arguments; normal distributions; escort distributions; log-concave distributions

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