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We prove upper bounds on the $L^\infty$-Wasserstein distance from optimal transport between strongly log-concave probability densities and log-Lipschitz perturbations.
XV.—The correlation between relatives on the supposition of Mendelian inheritance
1919
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A class of Wasserstein metrics for probability distributions
1984
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The Mathematical Theory of Quantitative Genetics
1985
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Brownian motion and stochastic calculus
1991
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Transportation cost for Gaussian and other product measures
1996
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Monotonicity properties of optimal transportation and the FKG and related inequalities
2000
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Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
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Gradient flows in metric spaces and in the space of probability measures
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Introduction to gradient flows in metric spaces
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Trace inequalities and quantum entropy: an introductory course
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2017
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Regularization under diffusion and anticoncentration of the information content
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The flow map of the Fokker-Planck equation does not provide optimal transport
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Lipschitz changes of variables via heat flow
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Improved differentially private and lazy online convex optimization
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Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
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2018
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Evolution and Selection of Quantitative Traits
2018
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On the (in)stability of the identity map in optimal transportation
2019
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Universality of langevin diffusion for private optimization, with applications to sampling from rashomon sets
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On the Lipschitz properties of transportation along heat flows
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2023
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Spectral monotonicity under Gaussian convolution
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Ergodicity of the Fisher infinitesimal model with quadratic selection
2024
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Transportation onto log-Lipschitz perturbations
2024
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