2 citations · 2 across the 3 of their papers we have counts for
5 papers
Functional inequalities along Wasserstein geodesics
Nathael Gozlan, Hugo Malamut, Irène Waldspurger
We study functional inequalities along Wasserstein geodesics. If 0 and 1 are respectively 0 -and 1 -strongly log-concave probability measures on R n , we prove that…
A Brenier-Strassen Theorem on CAT(kappa) Spaces
Nathael Gozlan, Hugo Malamut, Shin-Ichi Ohta
We extend the Brenier-Strassen theorem about projections in convex order to non-flat spaces with curvature bounded from above. Precisely, for probability measures , of finit…
Weak optimal transport with moment constraints: constraint qualification, dual attainment and entropic regularization
Guillaume Carlier, Hugo Malamut, Maxime Sylvestre
We consider weak optimal problems (possibly entropically penalized) incorporating both soft and hard (including the case of the martingale condition) moment constraints. Even in th…
Well-posedness and convergence of entropic approximation of semi-geostrophic equations
Guillaume Carlier, Hugo Malamut
We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic e…
Convergence Rates of the Regularized Optimal Transport : Disentangling Suboptimality and Entropy
Hugo Malamut, Maxime Sylvestre
We study the convergence of the transport plans towards as well as the cost of the entropy-regularized optimal transport towards as the regularizati…