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math.OC2026
From plans to maps: Nonlocal regularization of optimal transport
Marcello Carioni, Leonardo Del Grande, José A. Iglesias +1
We introduce a nonlocal regularization of optimal transport that bridges Kantorovich and Monge formulations. The regularization penalizes oscillations through an interaction kernel…
math.OC2026
Towards sparse optimization over convex loops: Equivalence of Square Root Velocity distance and Wasserstein-Fisher-Rao
Giacomo Cristinelli, José A. Iglesias
The Wasserstein-Fisher-Rao (WFR) distance on has recently been shown to coincide with a classical elastic distance between -immersions in the theory of Riemannian sh…