Coupling matrix manifolds assisted optimization for optimal transport problems

DOI10.1007/s10994-020-05931-2OpenAlexW3113063594MaRDI QIDQ2051257

Yanyan Li

Publication date: 24 November 2021

Published in: Machine Learning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10994-020-05931-2

zbMATH Keywords

Wasserstein distancedoubly stochastic matricesoptimal transportcoupling matrix manifoldentropy regularized optimal transportsinkhorn algorithm

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (1)

Riemannian Hamiltonian Methods for Min-Max Optimization on Manifolds

Uses Software

• EMD
• Wasserstein GAN

Cites Work

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• Regularized Discrete Optimal Transport
• Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems
• Manifold Optimization Over the Set of Doubly Stochastic Matrices: A Second-Order Geometry
• Optimal Transport

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