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Yet another proof of the entropy power inequality

Olivier Rioul 1, 2 
1 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
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.
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https://hal.telecom-paris.fr/hal-02287594
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Submitted on : Friday, September 13, 2019 - 5:07:54 PM
Last modification on : Wednesday, November 3, 2021 - 8:19:30 AM

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  • HAL Id : hal-02287594, version 1

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Olivier Rioul. Yet another proof of the entropy power inequality. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2017, 63 (6), pp.3595-3599. ⟨hal-02287594⟩

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