Transportation proofs of Rényi entropy power inequalities - Télécom Paris Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Transportation proofs of Rényi entropy power inequalities

Résumé

A framework for deriving Rényi entropy-power inequalities (EPIs) is presented that uses linearization and an inequality of Dembo, Cover, and Thomas. Simple arguments are given to recover the previously known Rényi EPIs and derive new ones, by unifying a multiplicative form with con- stant c and a modification with exponent α of previous works. An information-theoretic proof of the Dembo-Cover-Thomas inequality—equivalent to Young’s convolutional inequality with optimal constants—is provided, based on properties of Rényi conditional and relative entropies and using transportation ar- guments from Gaussian densities. For log-concave densities, a transportation proof of a sharp varentropy bound is presented.
Fichier non déposé

Dates et versions

hal-02300781 , version 1 (29-09-2019)

Identifiants

  • HAL Id : hal-02300781 , version 1

Citer

Olivier Rioul. Transportation proofs of Rényi entropy power inequalities. IEEE Information Theory and Applications Workshop (ITA 2019), Feb 2019, San Diego, United States. ⟨hal-02300781⟩
140 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More