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On the extremal points of the ball of the Benamou–Brenier energy
Kristian Bredies, Marcello Carioni, Silvio Fanzon and Francisco Romero Bulletin of the London Mathematical Society 53(5) 1436 (2021) https://doi.org/10.1112/blms.12509
A Stochastic Multi-layer Algorithm for Semi-discrete Optimal Transport with Applications to Texture Synthesis and Style Transfer
Unbalanced optimal transport: Dynamic and Kantorovich formulations
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard Journal of Functional Analysis 274(11) 3090 (2018) https://doi.org/10.1016/j.jfa.2018.03.008
Scaling algorithms for unbalanced optimal transport problems
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard Mathematics of Computation 87(314) 2563 (2018) https://doi.org/10.1090/mcom/3303
The Camassa–Holm equation as an incompressible Euler equation: A geometric point of view
An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard Foundations of Computational Mathematics 18(1) 1 (2018) https://doi.org/10.1007/s10208-016-9331-y
Scale Space and Variational Methods in Computer Vision
Jan Maas, Martin Rumpf and Stefan Simon Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 10302 563 (2017) https://doi.org/10.1007/978-3-319-58771-4_45
A Sparse Multiscale Algorithm for Dense Optimal Transport