A Dimension-Free Reverse Logarithmic Sobolev Inequality for Low-Complexity Functions in Gaussian Space

DOI10.1007/978-3-030-36020-7_12zbMath1453.60084arXiv1903.07093OpenAlexW2921897192MaRDI QIDQ5115957

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Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07093

zbMATH Keywords

reverse logarithmic Sobolev inequality

Mathematics Subject Classification ID

Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05)

Related Items (1)

A transportation approach to the mean-field approximation

Cites Work

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• Representation formula for the entropy and functional inequalities
• The Wills functional and Gaussian processes
• Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations
• Regularization under diffusion and anticoncentration of the information content
• The structure of low-complexity Gibbs measures on product spaces
• Analysis and Geometry of Markov Diffusion Operators

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