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math.OC2020★ 9 cited
Optimal Transport losses and Sinkhorn algorithm with general convex regularization
Simone Di Marino, Augusto Gerolin
We introduce a new class of convex-regularized Optimal Transport losses, which generalizes the classical Entropy-regularization of Optimal Transport and Sinkhorn divergences, and p…
math.OC2019★ 1 cited
Metric completion of with the right-invariant metric
Simone Di Marino, Andrea Natale, Rabah Tahraoui +1
We consider the group of smooth increasing diffeomorphisms Diff on the unit interval endowed with the right-invariant metric. We compute the metric completion of this space w…