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Article Dans Une Revue IEEE Transactions on Information Theory Année : 2017

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.
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hal-02287594 , version 1 (12-08-2022)

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Olivier Rioul. Yet another proof of the entropy power inequality. IEEE Transactions on Information Theory, 2017, 63 (6), pp.3595-3599. ⟨10.1109/TIT.2017.2676093⟩. ⟨hal-02287594⟩
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