Abstract | ||
---|---|---|
AbstractWe establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy. Additionally we investigate the entropic Rogers-Shephard inequality studied by Madiman and Kontoyannis, and establish a sharp Rényi version for certain parameters in both the continuous and discrete cases. |
Year | DOI | Venue |
---|---|---|
2021 | 10.1109/TIT.2020.3024025 | Periodicals |
Keywords | DocType | Volume |
Renyi entropy, entropy power inequality, reversals, log-concave variables, Rogers-Shephard, convex geometry | Journal | 67 |
Issue | ISSN | Citations |
1 | 0018-9448 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
James C Melbourne | 1 | 2 | 3.75 |
Tomasz Tkocz | 2 | 1 | 3.06 |