Abstract
Yet another simple proof of the entropy power inequality is given, which avoids both the integration over a path of Gaussian perturbation and the use of Young's inequality with sharp constant or Rényi entropies. The proof is based on a simple change of variables, is formally identical in one and several dimensions, and easily settles the equality case.
| Original language | English |
|---|---|
| Article number | 7867063 |
| Pages (from-to) | 3595-3599 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 63 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2017 |
| Externally published | Yes |
Keywords
- Entropy power inequality
- Gaussian variables
- differential entropy
- optimal transport
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