A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space

Published 17 Mar 2019 in math.FA and math.PR | (1903.07093v1)

Abstract: We discuss new proofs, and new forms, of a reverse logarithmic Sobolev inequality, with respect to the standard Gaussian measure, for low complexity functions, measured in terms of Gaussian-width. In particular, we provide a dimension-free improvement for a related result given in [Eldan '18].

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