3 papers
math.OC2026
Ordinary differential equations for regularized variational problems involving semi-discrete optimal transport
Adrien Cances, Luca Nenna, Daniyar Omarov +1
We consider entropically regularized, semi-discrete versions of variational problems on the set of probability measures involving optimal transport as well as other terms. We prove…
math.OC2026
Particle method for a nonlinear multimarginal optimal transport problem
Adrien Cances, Quentin Mérigot, Luca Nenna
We study a nonlinear multimarginal optimal transport problem arising in risk management, where the objective is to maximize a spectral risk measure of the pushforward of a coupling…
math.OC2025
Unidimensional semi-discrete partial optimal transport
Adrien Cances, Hugo Leclerc
We study the semi-discrete formulation of one-dimensional partial optimal transport with quadratic cost, where a probability density is partially transported to a finite sum of Dir…