Entropy Inequalities and Gaussian Comparisons

Published 28 Jun 2022 in cs.IT and math.IT | (2206.14182v1)

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.

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