Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space |
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Authors: | Benamou Jean-David Gallouët Thomas O Vialard François-Xavier |
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Institution: | 1.Project Team Mokaplan, INRIA, 2 Rue Simone Iff, Paris, France ;2.Ceremade, Université Paris-Dauphine, PSL Research University, Paris, France ;3.LIGM, UPEM, University Paris-Est, Marne-la-Vallée, France ; |
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Abstract: | Foundations of Computational Mathematics - On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation.... |
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