Name
Abstract | ||
|---|---|---|
We show that Shannon's entropy-power inequality admits a strengthened version in the case in which the densities are log-concave. In such a case, in fact, one can extend the Blachman-Stam argument to obtain a sharp inequality for the second derivative of Shannon's entropy functional with respect to the heat semigroup. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/TIT.2015.2495302 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
Entropy,Heating,Covariance matrices,Convex functions,Random variables,Mathematical model | Entropy power inequality,Discrete mathematics,Random variable,Second derivative,Computer science,Convex function,Inequality,Semigroup | Journal |
Volume | Issue | ISSN |
61 | 12 | 0018-9448 |
Citations | PageRank | References |
9 | 0.93 | 16 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Toscani | 1 | 138 | 24.06 |