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math.OC2023
A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation
Giuseppe Savaré, Giacomo Enrico Sodini
We present a general convex relaxation approach to study a wide class of Unbalanced Optimal Transport problems for finite non-negative measures with possibly different masses. Thes…
math.OC2023
Approximation Theory, Computing, and Deep Learning on the Wasserstein Space
Massimo Fornasier, Pascal Heid, Giacomo Enrico Sodini
The challenge of approximating functions in infinite-dimensional spaces from finite samples is widely regarded as formidable. We delve into the challenging problem of the numerical…