The Poincaré inequality and quadratic transportation-variance inequalities

DOI10.1214/19-EJP403zbMath1448.60051arXiv1902.04196OpenAlexW2998492360MaRDI QIDQ2285794

Yuan Liu

Publication date: 9 January 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04196

zbMATH Keywords

Poincaré inequalityquadratic Wasserstein distancequadratic transportation-information inequalitytransportation-variance inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Diffusion processes (60J60) Inequalities involving derivatives and differential and integral operators (26D10)

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The Langevin Monte Carlo algorithm in the non-smooth log-concave case ⋮ On generalized common quasi-eigenvector problems ⋮ Unadjusted Langevin algorithm for sampling a mixture of weakly smooth potentials

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