R&amp;eacute;nyi Entropy Power Inequalities via Normal Transport and Rotation

Rioul, Olivier

doi:10.20944/preprints201807.0145.v1

2018

DOI: 10.20944/preprints201807.0145.v1

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Rényi Entropy Power Inequalities via Normal Transport and Rotation

Olivier Rioul

Abstract: Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented, that uses transport arguments from normal densities and a change of variable by rotation.

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Rényi Entropy Power Inequalities via Normal Transport and Rotation

Abstract: Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented, that uses transport arguments from normal densities and a change of variable by rotation.

Cited by 0 publications

References 11 publications

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R&eacute;nyi Entropy Power Inequalities via Normal Transport and Rotation

Abstract: Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the R&eacute;nyi entropy is presented, that uses transport arguments from normal densities and a change of variable by rotation.

Cited by 0 publications

References 11 publications

No citations

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Product

Resources

About

Rényi Entropy Power Inequalities via Normal Transport and Rotation

Abstract: Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented, that uses transport arguments from normal densities and a change of variable by rotation.