| Paper ID | D4-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.
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