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

2019/03/17 by Ronen Eldan, Michel Ledoux, Eldan, Ronen +1
Engineering · Mathematics · #Fatigue and fracture mechanics #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.1903.07093

arxiv created 2019/03/17 · arxiv updated 2019/03/19

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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