Yet another proof of the entropy power inequality
Résumé
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.
Origine | Fichiers produits par l'(les) auteur(s) |
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