Abstract | ||
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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. |
Year | Venue | Keywords |
---|---|---|
2018 | 2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | Entropy power inequality, Renyi entropy, Log-concave |
Field | DocType | Citations |
Entropy power inequality,Discrete mathematics,Young's inequality,Combinatorics,Random variable,Computer science,Rényi entropy,Inequality | Conference | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Arnaud Marsiglietti | 1 | 10 | 2.93 |
James C Melbourne | 2 | 2 | 3.75 |