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Title: Sharp Maximum-Entropy Comparisons
We establish a family of sharp entropy inequalities with Gaussian extremizers. These inequalities hold for certain dependent random variables, namely entropy-maximizing couplings subject to information constraints. Several well-known results, such as the Zamir–Feder and Brunn–Minkowski inequalities, follow as special cases.  more » « less
Award ID(s):
1704967 1750430
Author(s) / Creator(s):
Date Published:
Journal Name:
2021 IEEE International Symposium on Information Theory (ISIT)
Medium: X
Sponsoring Org:
National Science Foundation
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