Reversals of Rényi Entropy Inequalities under Log-Concavity

Abstract

We 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

References in corpus (1)

• Rényi Entropy Power Inequalities via Normal Transport and Rotation

Cited by in corpus (1)

• Bernoulli sums and Rényi entropy inequalities