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math.OC2025
Convergence rates for regularized unbalanced optimal transport: the discrete case
Luca Nenna, Paul Pegon, Louis Tocquec
Unbalanced optimal transport (UOT) is a natural extension of optimal transport (OT) allowing comparison between measures of different masses. It arises naturally in machine learnin…
math.NA2025
Characterizing and computing solutions to regularized semi-discrete optimal transport via an ordinary differential equation
Luca Nenna, Daniyar Omarov, Brendan Pass
This paper investigates the semi-discrete optimal transport (OT) problem with entropic regularization. We characterize the solution using a governing, well-posed ordinary different…