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math.OC2025
A Rockafellar theorem for cyclically quasi-monotone maps: The regular non-vanishing case
Luigi De Pascale, Paul Pegon
In this paper, we study the connection between cyclic quasi-monotonicity and quasi-convexity, focusing on whether every cyclically quasi-monotone (possibly multi-valued) map is inc…
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…