Published June 2018
| public
Book Section - Chapter
A Rényi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]
- Creators
- Marsiglietti, Arnaud
- Melbourne, James
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.
Additional Information
© 2018 IEEE. Supported by the Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship. Supported by NSF grants 1248100 and CNS 1544721.Additional details
- Eprint ID
- 91195
- DOI
- 10.1109/ISIT.2018.8437877
- Resolver ID
- CaltechAUTHORS:20181126-153826742
- Center for the Mathematics of Information, Caltech
- CCF-1248100
- NSF
- CNS-1544721
- NSF
- Created
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2018-11-27Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field