Emergent Mind
A strengthened entropy power inequality for log-concave densities
(1408.4049)
Published Aug 18, 2014
in
cs.IT
,
math.FA
,
and
math.IT
Abstract
We show that Shannon's entropy--power inequality admits a strengthened version in the case in which the densities are log-concave. In such a case, in fact, one can extend the Blachman--Stam argument to obtain a sharp inequality for the second derivative of Shannon's entropy functional with respect to the heat semigroup.
We're not able to analyze this paper right now due to high demand.
Please check back later (sorry!).
Generate a summary of this paper on our Pro plan:
We ran into a problem analyzing this paper.