3 citations · 7 across the 10 of their papers we have counts for
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Monge-Kantorovich Optimal Transport Through Constrictions and Flow-rate Constraints
Anqi Dong, Arthur Stephanovitch, Tryphon T. Georgiou
We consider the problem to transport resources/mass while abiding by constraints on the flow through constrictions along their path between specified terminal distributions. Constr…
Optimal transport through a toll
Arthur Stephanovitch, Anqi Dong, Tryphon T. Georgiou
We address the problem of optimal transport with a quadratic cost functional and a constraint on the flux through a constriction along the path. The constriction, conceptually repr…
Optimal 1-Wasserstein Distance for WGANs
Arthur Stéphanovitch, Ugo Tanielian, Benoît Cadre +2
The mathematical forces at work behind Generative Adversarial Networks raise challenging theoretical issues. Motivated by the important question of characterizing the geometrical p…