Reverse entropy power inequalities for s-concave densities

Peng Xu; James Melbourne; Mokshay Madiman

doi:10.1109/ISIT.2016.7541706

Reverse entropy power inequalities for s-concave densities

Peng Xu
, James Melbourne
, Mokshay Madiman

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Scopus citations

Abstract

We explore conditions under which a reverse Rényi entropy power inequality holds for random vectors with s-concave densities, and also discuss connections with Convex Geometry.

Original language	English (US)
Title of host publication	Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2284-2288
Number of pages	5
ISBN (Electronic)	9781509018062
DOIs	https://doi.org/10.1109/ISIT.2016.7541706
State	Published - Aug 10 2016
Event	2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain Duration: Jul 10 2016 → Jul 15 2016

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2016-August
ISSN (Print)	2157-8095

Other

Other	2016 IEEE International Symposium on Information Theory, ISIT 2016
Country/Territory	Spain
City	Barcelona
Period	7/10/16 → 7/15/16

Bibliographical note

Funding Information:
This work was supported by the U.S. National Science Foundation through grants DMS-1409504 and CCF-1346564

Publisher Copyright:
© 2016 IEEE.

Keywords

Rényi entropy
convex measure
convex order
entropy power
log-concave
majorization

Publisher link

10.1109/ISIT.2016.7541706

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Xu, P., Melbourne, J., & Madiman, M. (2016). Reverse entropy power inequalities for s-concave densities. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory (pp. 2284-2288). Article 7541706 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541706

Reverse entropy power inequalities for s-concave densities. / Xu, Peng; Melbourne, James; Madiman, Mokshay.
Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2284-2288 7541706 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Xu, P, Melbourne, J & Madiman, M 2016, Reverse entropy power inequalities for s-concave densities. in Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory., 7541706, IEEE International Symposium on Information Theory - Proceedings, vol. 2016-August, Institute of Electrical and Electronics Engineers Inc., pp. 2284-2288, 2016 IEEE International Symposium on Information Theory, ISIT 2016, Barcelona, Spain, 7/10/16. https://doi.org/10.1109/ISIT.2016.7541706

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Reverse entropy power inequalities for s-concave densities

Abstract

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Keywords

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