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20112023
most citedFast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space

18 citations · 75 across the 20 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math.ST2020★ 8 cited

Optimal dimension dependence of the Metropolis-Adjusted Langevin Algorithm

Sinho Chewi, Chen Lu, Kwangjun Ahn +3

Conventional wisdom in the sampling literature, backed by a popular diffusion scaling limit, suggests that the mixing time of the Metropolis-Adjusted Langevin Algorithm (MALA) scal…

math.ST2020★ 4 cited

Fast and Smooth Interpolation on Wasserstein Space

Sinho Chewi, Julien Clancy, Thibaut Le Gouic +3

We propose a new method for smoothly interpolating probability measures using the geometry of optimal transport. To that end, we reduce this problem to the classical Euclidean sett…

cs.LG2020★ 7 cited

Projection to Fairness in Statistical Learning

Thibaut Le Gouic, Jean-Michel Loubes, Philippe Rigollet

In the context of regression, we consider the fundamental question of making an estimator fair while preserving its prediction accuracy as much as possible. To that end, we define…

math.ST2020★ 4 cited

SVGD as a kernelized Wasserstein gradient flow of the chi-squared divergence

Sinho Chewi, Thibaut Le Gouic, Chen Lu +2

Stein Variational Gradient Descent (SVGD), a popular sampling algorithm, is often described as the kernelized gradient flow for the Kullback-Leibler divergence in the geometry of o…

math.ST2020★ 15 cited

Exponential ergodicity of mirror-Langevin diffusions

Sinho Chewi, Thibaut Le Gouic, Chen Lu +3

Motivated by the problem of sampling from ill-conditioned log-concave distributions, we give a clean non-asymptotic convergence analysis of mirror-Langevin diffusions as introduced…