Second-order models for optimal transport and cubic splines on the Wasserstein Space

DOI10.1007/s10208-019-09425-zzbMath1482.49051arXiv1801.04144OpenAlexW2968486165MaRDI QIDQ2329043

Thomas O. Gallouët, François-Xavier Vialard, Jean-David Benamou

Publication date: 17 October 2019

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04144

zbMATH Keywords

cubic splinesmultimarginal optimal transportWasserstein geodesics

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Numerical approximation and computational geometry (primarily algorithms) (65D99) Numerical methods in optimal control (49M99) Optimal transportation (49Q22)

Related Items (5)

Splines for image metamorphosis ⋮ Optimal transportation, modelling and numerical simulation ⋮ The GenCol Algorithm for High-Dimensional Optimal Transport: General Formulation and Application to Barycenters and Wasserstein Splines ⋮ Toward a mathematical theory of trajectory inference ⋮ Second-order models for optimal transport and cubic splines on the Wasserstein Space

Uses Software

• GitHub

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