2 papers
stat.ML2022
Algorithms for Weak Optimal Transport with an Application to Economics
François-Pierre Paty, Philippe Choné, Francis Kramarz
The theory of weak optimal transport (WOT), introduced by [Gozlan et al., 2017], generalizes the classic Monge-Kantorovich framework by allowing the transport cost between one poin…
stat.ML2020
Regularized Optimal Transport is Ground Cost Adversarial
François-Pierre Paty, Marco Cuturi
Regularizing the optimal transport (OT) problem has proven crucial for OT theory to impact the field of machine learning. For instance, it is known that regularizing OT problems wi…