Name
Abstract | ||
|---|---|---|
Following a recent proof of Shannonu0027s entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Ru0027enyi entropy is presented that uses transport arguments from normal densities and a change of variable by rotation. Simple arguments are given to recover the previously known Ru0027enyi EPIs and derive new ones, by unifying a multiplicative form with constant c and a modification with exponent {alpha} of previous works. In particular, for log-concave densities, we obtain a simple transportation proof of a sharp varentropy bound. |
Year | Venue | DocType |
|---|---|---|
2018 | Entropy | Journal |
Volume | Issue | Citations |
abs/1807.02622 | 9 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Rioul | 1 | 92 | 23.54 |