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A Rényi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]

Marsiglietti, Arnaud and Melbourne, James (2018) A Rényi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]. In: 2018 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 1964-1968. ISBN 978-1-5386-4780-6. http://resolver.caltech.edu/CaltechAUTHORS:20181126-153826742

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Abstract

Using a sharp version of the reverse Young inequality, and a Renyi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors derive a Renyi entropy power inequality for log-concave random vectors when Renyi parameters belong to [0, 1]. A discussion of symmetric decreasing rearrangements of random variables strengthens the inequality and guides the exploration as to its sharpness.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISIT.2018.8437877DOIArticle
ORCID:
AuthorORCID
Marsiglietti, Arnaud0000-0002-7459-0547
Additional Information:© 2018 IEEE. Supported by the Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship. Supported by NSF grants 1248100 and CNS 1544721.
Funders:
Funding AgencyGrant Number
Center for the Mathematics of Information, CaltechUNSPECIFIED
NSFCCF-1248100
NSFCNS-1544721
Subject Keywords:Entropy power inequality, Rényi entropy, Log-concave
Record Number:CaltechAUTHORS:20181126-153826742
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181126-153826742
Official Citation:A. Marsiglietti and J. Melbourne, "A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]," 2018 IEEE International Symposium on Information Theory (ISIT), Vail, CO, 2018, pp. 1964-1968. doi: 10.1109/ISIT.2018.8437877
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91195
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Nov 2018 17:56
Last Modified:27 Nov 2018 17:56

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