A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space
arXiv:1903.07093
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].