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Technical Program

Paper Detail

Paper IDD4-S1-T1.1
Paper Title Sharp Maximum-Entropy Comparisons
Authors Efe Aras, Thomas A Courtade, University of California, Berkeley, United States
Session D4-S1-T1: Information Inequalities I
Chaired Session: Thursday, 15 July, 22:00 - 22:20
Engagement Session: Thursday, 15 July, 22:20 - 22:40
Abstract 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.