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arXiv · 1903.07093

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

Ronen Eldan·Michel Ledoux
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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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Ronen Eldan, Michel Ledoux. 2019-03-17. A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space. https://arxiv.org/abs/1903.07093

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