A variance-sensitive Gaussian concentration inequality

DOI10.1090/PROC/16905zbMATH Open1547.60026MaRDI QIDQ6583775

Nguyen Tien Dung

Publication date: 6 August 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

concentration of measureGaussian vectormedian of a vector

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Inequalities; stochastic orderings (60E15)

Cites Work

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• Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order
• Asymptotic behaviour of high Gaussian minima
• A Gaussian small deviation inequality for convex functions
• On the tightness of Gaussian concentration for convex functions
• Variance estimates and almost Euclidean structure
• Random Fields and Geometry
• Improved one-sided deviation inequalities under regularity assumptions for product measures

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