Title
Reversal of Rényi Entropy Inequalities Under Log-Concavity
Abstract
AbstractWe establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy. Additionally we investigate the entropic Rogers-Shephard inequality studied by Madiman and Kontoyannis, and establish a sharp Rényi version for certain parameters in both the continuous and discrete cases.
Year
DOI
Venue
2021
10.1109/TIT.2020.3024025
Periodicals
Keywords
DocType
Volume
Renyi entropy, entropy power inequality, reversals, log-concave variables, Rogers-Shephard, convex geometry
Journal
67
Issue
ISSN
Citations 
1
0018-9448
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
James C Melbourne123.75
Tomasz Tkocz213.06