
Fast and Smooth Interpolation on Wasserstein Space
We propose a new method for smoothly interpolating probability measures ...
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SVGD as a kernelized Wasserstein gradient flow of the chisquared divergence
Stein Variational Gradient Descent (SVGD), a popular sampling algorithm,...
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Projection to Fairness in Statistical Learning
In the context of regression, we consider the fundamental question of ma...
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The price for fairness in a regression framework
We consider the problem of achieving fairness in a regression framework....
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Exponential ergodicity of mirrorLangevin diffusions
Motivated by the problem of sampling from illconditioned logconcave di...
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Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space
This work establishes fast rates of convergence for empirical barycenter...
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Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics
This paper provides rates of convergence for empirical barycenters of a ...
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On the rate of convergence of empirical barycentres in metric spaces: curvature, convexity and extendible geodesics
This paper provides rates of convergence for empirical barycentres of a ...
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A notion of stability for kmeans clustering
In this paper, we define and study a new notion of stability for the km...
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Unconstrained and CurvatureConstrained ShortestPath Distances and their Approximation
We study shortest paths and their distances on a subset of a Euclidean s...
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Recovering metric from full ordinal information
Given a geodesic space (E, d), we show that full ordinal knowledge on th...
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Thibaut Le Gouic
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