On the Entropy Power Inequality for the Renyi Entropy of Order [0,1]

被引：18
|
作者：
Marsiglietti, Arnaud [1 ]
Melbourne, James [2 ]
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[2] Univ Minnesota, Dept Elect & Comp Engn, Minneapolis, MN 55455 USA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2019年 / 65卷 / 03期
关键词：
Terms Entropy power inequality; Renyi entropy; log-concave; BRUNN-MINKOWSKI; SUM; MONOTONICITY; INFORMATION; CONVERSE;
D O I：
10.1109/TIT.2018.2877741
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Using a sharp version of the reverse Young inequality, and a Renyi entropy comparison result due to Fradelizi, Madiman, and Wang (2016), the authors derive Renyi entropy power inequalities for log-concave random vectors when Renyi parameters belong to [0, 1]. Furthermore, the estimates are shown to be sharp up to absolute constants.
引用
收藏
页码：1387 / 1396
页数：10
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