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تسجيل مستخدم جديدFunctional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems
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Patrick Cattiaux
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We study functional inequalities (Poincare, Cheeger, log-Sobolev) for probability measures obtained as perturbations. Several explicit results for general measures as well as log-concave distributions are given.The initial goal of this work was to obtain explicit bounds on the constants in view of statistical applications for instance. These results are then applied to the Langevin Monte-Carlo method used in statistics in order to compute Bayesian estimators.
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Mingzhou Xu
, Kun Cheng (School of Information Engineering
, n Jingdezhen Ceramic Institute
2020
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