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math.OC2025
Inexact JKO and proximal-gradient algorithms in the Wasserstein space
Simone Di Marino, Emanuele Naldi, Silvia Villa
This paper studies the convergence properties of the inexact Jordan-Kinderlehrer-Otto (JKO) scheme and proximal-gradient algorithm in the context of Wasserstein spaces. The JKO sch…
math.OC2025
-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport
Sumiya Baasandorj, Simone Di Marino, Augusto Gerolin
We provide the stability of regularity of Schrödinger potentials of Boltzmann-Shannon entropy regularized Optimal Transport under the classical assumption of marginals su…