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Transportation Proof of an inequality by Anantharam, Jog and Nair (1901.10893v2)
Published 30 Jan 2019 in cs.IT, math.FA, math.IT, and math.PR
Abstract: 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.