A note on quadratic transportation and divergence inequality

DOI10.1016/j.spl.2015.02.009zbMath1314.60060OpenAlexW2024802318MaRDI QIDQ2348325

Ying Ding

Publication date: 11 June 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.02.009

zbMATH Keywords

Poincaré inequalitytensorizationquadratic transportation and divergence inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05)

Related Items (2)

The Langevin Monte Carlo algorithm in the non-smooth log-concave case ⋮ The Poincaré inequality and quadratic transportation-variance inequalities

Cites Work

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• Wasserstein-divergence transportation inequalities and polynomial concentration inequalities
• A new kind of modified transportation cost inequalities and polynomial concentration inequalities
• On quadratic transportation cost inequalities
• A characterization of dimension free concentration in terms of transportation inequalities
• Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
• Hypercontractivity of Hamilton-Jacobi equations.
• Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
• Transportation cost for Gaussian and other product measures
• Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
• Rényi Divergence and Kullback-Leibler Divergence

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