Rényi Entropy Power Inequalities for s-concave Densities

Jiange Li; Arnaud Marsiglietti; James Melbourne

doi:10.1109/ISIT.2019.8849239

Rényi Entropy Power Inequalities for s-concave Densities

Jiange Li
, Arnaud Marsiglietti
, James Melbourne

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

3 Scopus citations

Abstract

In this paper, we investigate the role of convexity in entropy power inequalities. We establish Rényi entropy power inequalities of order r ∈ (0, 1) for a large class of densities, the so-called s-concave densities. This extends recent works on Rényi entropy power inequalities.

Original language	English
Title of host publication	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2224-2228
Number of pages	5
ISBN (Electronic)	9781538692912
DOIs	https://doi.org/10.1109/ISIT.2019.8849239
State	Published - Jul 2019
Externally published	Yes
Event	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France Duration: 7 Jul 2019 → 12 Jul 2019

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2019-July
ISSN (Print)	2157-8095

Conference

Conference	2019 IEEE International Symposium on Information Theory, ISIT 2019
Country/Territory	France
City	Paris
Period	7/07/19 → 12/07/19

Keywords

Rényi entropy
entropy power inequality
s-concave density

Access to Document

10.1109/ISIT.2019.8849239

Cite this

Li, J., Marsiglietti, A., & Melbourne, J. (2019). Rényi Entropy Power Inequalities for s-concave Densities. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (pp. 2224-2228). Article 8849239 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2019.8849239

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title = "R{\'e}nyi Entropy Power Inequalities for s-concave Densities",

abstract = "In this paper, we investigate the role of convexity in entropy power inequalities. We establish R{\'e}nyi entropy power inequalities of order r ∈ (0, 1) for a large class of densities, the so-called s-concave densities. This extends recent works on R{\'e}nyi entropy power inequalities.",

keywords = "R{\'e}nyi entropy, entropy power inequality, s-concave density",

author = "Jiange Li and Arnaud Marsiglietti and James Melbourne",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE International Symposium on Information Theory, ISIT 2019 ; Conference date: 07-07-2019 Through 12-07-2019",

year = "2019",

month = jul,

doi = "10.1109/ISIT.2019.8849239",

language = "英语",

series = "IEEE International Symposium on Information Theory - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2224--2228",

booktitle = "2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings",

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}

Li, J, Marsiglietti, A & Melbourne, J 2019, Rényi Entropy Power Inequalities for s-concave Densities. in 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings., 8849239, IEEE International Symposium on Information Theory - Proceedings, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 2224-2228, 2019 IEEE International Symposium on Information Theory, ISIT 2019, Paris, France, 7/07/19. https://doi.org/10.1109/ISIT.2019.8849239

Rényi Entropy Power Inequalities for s-concave Densities. / Li, Jiange; Marsiglietti, Arnaud; Melbourne, James.
2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2224-2228 8849239 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July).

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

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AU - Marsiglietti, Arnaud

AU - Melbourne, James

PY - 2019/7

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N2 - In this paper, we investigate the role of convexity in entropy power inequalities. We establish Rényi entropy power inequalities of order r ∈ (0, 1) for a large class of densities, the so-called s-concave densities. This extends recent works on Rényi entropy power inequalities.

AB - In this paper, we investigate the role of convexity in entropy power inequalities. We establish Rényi entropy power inequalities of order r ∈ (0, 1) for a large class of densities, the so-called s-concave densities. This extends recent works on Rényi entropy power inequalities.

KW - Rényi entropy

KW - entropy power inequality

KW - s-concave density

UR - https://www.scopus.com/pages/publications/85073155104

U2 - 10.1109/ISIT.2019.8849239

DO - 10.1109/ISIT.2019.8849239

M3 - 会议稿件

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ER -

Rényi Entropy Power Inequalities for s-concave Densities

Abstract

Publication series

Conference

Keywords

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