86 citations · 350 across the 38 of their papers we have counts for
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math.FA2025
On the quadratic barycentric transport problem
Nathael Gozlan, Thibaut Le Gouic, Paul-Marie Samson
We investigate the structure of optimal transport plans, dual optimizers, and geodesic paths for the quadratic barycentric transport problem.
math.FA2025
Global Regularity Estimates for Optimal Transport via Entropic Regularisation
Nathael Gozlan, Maxime Sylvestre
We develop a general approach to prove global regularity estimates for quadratic optimal transport using the entropic regularisation of the problem and the Prekopa-Leindler inequal…
math.NA2025
Computing Barycentres of Measures for Generic Transport Costs
Eloi Tanguy, Julie Delon, Nathaël Gozlan
Wasserstein barycentres represent average distributions between multiple probability measures for the Wasserstein distance. The numerical computation of Wasserstein barycentres is…