A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space
Functional Analysis
2019-03-19 v1 Probability
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].
Cite
@article{arxiv.1903.07093,
title = {A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space},
author = {Ronen Eldan and Michel Ledoux},
journal= {arXiv preprint arXiv:1903.07093},
year = {2019}
}