Transportation Proof of an inequality by Anantharam, Jog and Nair

01/30/2019

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by   Thomas A. Courtade, et al.

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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.