Abstract
Cover and Zhang proved a certain reversal of the Entropy Power Inequality for the sum of (possibly dependent) random variables possessing the same log-concave density, and what is more that log-concave densities were the only densities that satisfied such an inequality. In this work the authors consider the analogous reversal of recent Renyi Entropy Power Inequalities for random vectors and again show that not only do they hold for s-concave densities, but that s-concave densities are characterized by satisfying said inequalities.
| Original language | English (US) |
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| Title of host publication | 2018 IEEE International Symposium on Information Theory, ISIT 2018 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1969-1972 |
| Number of pages | 4 |
| ISBN (Print) | 9781538647806 |
| DOIs | |
| State | Published - Aug 15 2018 |
| Event | 2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States Duration: Jun 17 2018 → Jun 22 2018 |
Publication series
| Name | IEEE International Symposium on Information Theory - Proceedings |
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| Volume | 2018-June |
| ISSN (Print) | 2157-8095 |
Other
| Other | 2018 IEEE International Symposium on Information Theory, ISIT 2018 |
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| Country/Territory | United States |
| City | Vail |
| Period | 6/17/18 → 6/22/18 |
Bibliographical note
Funding Information:The authors thank Mokshay Madiman for stimulating discussion and in particular suggesting the extension of Cover and Zhang?s result. J. L is indebted to Muriel Medard?s support. J. M is supported by NSF grant CNS 1544721.
Funding Information:
The authors thank Mokshay Madiman for stimulating discussion and in particular suggesting the extension of Cover and Zhang’s result. J. L is indebted to Muriel Médard’s support. J. M is supported by NSF grant CNS 1544721.
Keywords
- Convex measures
- Renyi entropy
- Reverse entropy power inequality