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Rényi Entropy Power Inequalities via Normal Transport and Rotation

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. Simple arguments are given to recover the previously...

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Sparad:
Bibliografiska uppgifter
I publikationen:Entropy (Basel)
Huvudupphovsman: Rioul, Olivier
Materialtyp: Artigo
Språk:Inglês
Publicerad: MDPI 2018
Ämnen:
Länkar:https://ncbi.nlm.nih.gov/pmc/articles/PMC7513165/
https://ncbi.nlm.nih.gov/pubmed/33265730
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.3390/e20090641
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