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On the entropy power inequality for the Rényi entropy of order [0,1]
October 02, 2017 · Declared Dead · 🏛 IEEE Transactions on Information Theory
"No code URL or promise found in abstract"
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Authors
Arnaud Marsiglietti, James Melbourne
arXiv ID
1710.00800
Category
cs.IT: Information Theory
Cross-listed
math.PR
Citations
36
Venue
IEEE Transactions on Information Theory
Last Checked
6 months ago
Abstract
Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors are able to derive Rényi entropy power inequalities for log-concave random vectors when Rényi parameters belong to $(0,1)$. Furthermore, the estimates are shown to be sharp up to absolute constants.
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