Entropy Inequalities and Gaussian Comparisons
Information Theory
2022-06-29 v1 math.IT
Abstract
We establish a general class of entropy inequalities that take the concise form of Gaussian comparisons. The main result unifies many classical and recent results, including the Shannon-Stam inequality, the Brunn-Minkowski inequality, the Zamir-Feder inequality, the Brascamp-Lieb and Barthe inequalities, the Anantharam-Jog-Nair inequality, and others.
Keywords
Cite
@article{arxiv.2206.14182,
title = {Entropy Inequalities and Gaussian Comparisons},
author = {Efe Aras and Thomas A. Courtade},
journal= {arXiv preprint arXiv:2206.14182},
year = {2022}
}
Comments
23 pages. Comments welcome