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Transportation Proof of an inequality by Anantharam, Jog and Nair

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arxiv 1901.10893 v2 pith:YJCP5CRU submitted 2019-01-30 cs.IT math.FAmath.ITmath.PR

Thomas A. Courtade This is my paper · ORCID
classification cs.ITmath.FAmath.ITmath.PR
keywords inequalityanantharamentropicnairproofbrascamp-liebbriefentropy
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Anantharam, Jog and Nair recently put forth an entropic inequality which simultaneously generalizes the Shannon-Stam entropy power inequality and the Brascamp-Lieb inequality in entropic form. We give a brief proof of their result based on optimal transport.

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  1. A Revisit to Rate-distortion Theory via Optimal Weak Transport

    cs.IT 2025-01 conditional novelty 4.0 of 10

    The paper derives rate-distortion formulas via optimal weak transport, linking them to Schrödinger bridges, but the main results are known classical forms.

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