2 papers
cs.AI2024
Collision-based Dynamics for Multi-Marginal Optimal Transport
Mohsen Sadr, Hossein Gorji
Inspired by the Boltzmann kinetics, we propose a collision-based dynamics with a Monte Carlo solution algorithm that approximates the solution of the multi-marginal optimal transpo…
math.OC2024
Optimal Transportation by Orthogonal Coupling Dynamics
Mohsen Sadr, Peyman Mohajerin Esfahani, Hossein Gorji
Many numerical and learning algorithms rely on the solution of the Monge-Kantorovich problem and Wasserstein distances, which provide appropriate distributional metrics. While the…