|| Sharp Maximum-Entropy Comparisons
||Efe Aras, Thomas A Courtade, University of California, Berkeley, United States|
||D4-S1-T1: Information Inequalities I
||Thursday, 15 July, 22:00 - 22:20
||Thursday, 15 July, 22:20 - 22:40
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.