50 citations · 53 across the 2 of their papers we have counts for
2 papers
stat.ML2019★ 3 cited
Regularity as Regularization: Smooth and Strongly Convex Brenier Potentials in Optimal Transport
François-Pierre Paty, Alexandre d'Aspremont, Marco Cuturi
Estimating Wasserstein distances between two high-dimensional densities suffers from the curse of dimensionality: one needs an exponential (wrt dimension) number of samples to ensu…
cs.LG2019★ 50 cited
Subspace Robust Wasserstein Distances
François-Pierre Paty, Marco Cuturi
Making sense of Wasserstein distances between discrete measures in high-dimensional settings remains a challenge. Recent work has advocated a two-step approach to improve robustnes…