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We introduce Unbalanced Sobolev Descent (USD), a particle descent algorithm for transporting a high dimensional source distribution to a target distribution that does not necessarily have the same mass.
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Unbalanced optimal transport: Dynamic and kantorovich formulation
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On the global convergence of gradient descent for over-parameterized models using optimal transport
On gradient regularizers for mmd gans
Michael Arbel, Dougal J. Sutherland, Mikolaj Binkowski, and Arthur Gretton · 2018
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Sobolev descent
Youssef Mroueh, Tom Sercu, and Anant Raj · 2019
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Maximum mean discrepancy gradient flow
Michael Arbel, Anna Korba, Adil Salim, and Arthur Gretton · 2019
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Sinkhorn divergences for unbalanced optimal transport
Thibault Séjourné, Jean Feydy, François-Xavier Vialard, Alain Trouvé, and Gabriel Peyré · 2019
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Global convergence of neuron birth-death dynamics
Grant Rotskoff, Samy Jelassi, Joan Bruna, and Eric Vanden-Eijnden · 2019
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Lenaic Chizat and Francis Bach · 2018
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An interpolating distance between optimal transport and fisher–rao metrics
Lenaic Chizat, Gabriel Peyré, Bernhard Schmitzer, and François-Xavier Vialard · 2018
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Scaling algorithms for unbalanced optimal transport problems
Lenaic Chizat, Gabriel Peyré, Bernhard Schmitzer, and François-Xavier Vialard · 2018
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Interpolating between optimal transport and mmd using sinkhorn divergences
Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-Ichi Amari, Alain Trouvé, and Gabriel Peyré · 2018
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Lenaic Chizat · 2019
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Accelerating langevin sampling with birth-death
Yulong Lu, Jianfeng Lu, and James Nolen · 2019
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Optimal-transport analysis of single-cell gene expression identifies developmental trajectories in reprogramming
Geoffrey Schiebinger, Jian Shu, Marcin Tabaka, Brian Cleary, Vidya Subramanian, Aryeh Solomon, Joshua Gould, Siyan Liu, Stacie Lin, Peter Berube, et al · 2019
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Scalable unbalanced optimal transport using generative adversarial networks
Karren D. Yang and Caroline Uhler · 2019
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