2 papers
math.OC2025
A deep learning approach to multi-marginal optimal transport via Hilbert space embeddings of probability measures
Yumiharu Nakano, Takafumi Saito
We propose a numerical method for solving the multi-marginal Monge problem, which extends the classical Monge formulation to settings involving multiple target distributions. Our a…
math.OC2024
Solving Monge problem by Hilbert space embeddings of probability measures
Takafumi Saito, Yumiharu Nakano
We propose deep learning methods for classical Monge's optimal mass transportation problems, where where the distribution constraint is treated as penalty terms defined by the maxi…