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We introduce a new class of convex-regularized Optimal Transport losses, which generalizes the classical Entropy-regularization of Optimal Transport and Sinkhorn divergences, and propose a generalized Sinkhorn algorithm.
Über die umkehrung der naturgesetze
Erwin Schrödinger · 1931
Earlier work this paper cites.
A relationship between arbitrary positive matrices and doubly stochastic matrices
Richard Sinkhorn · 1964
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On the scaling of multidimensional matrices
Joel Franklin and Jens Lorenz · 1989
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Ludger Ruschendorf · 1995
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Sira Ferradans, Nicolas Papadakis, Gabriel Peyré, and Jean-François Aujol · 2014
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Christian Léonard · 2014
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Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, and Gabriel Peyré · 2015
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Charlie Frogner, Chiyuan Zhang, Hossein Mobahi, Mauricio Araya, and Tomaso A Poggio · 2015
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Generalized conditional gradient: analysis of convergence and applications
Alain Rakotomamonjy, Rémi Flamary, and Nicolas Courty · 2015
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Principal geodesic analysis for probability measures under the optimal transport metric
Vivien Seguy and Marco Cuturi · 2015
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Entropic and displacement interpolation: a computational approach using the Hilbert metric
Yongxin Chen, Tryphon Georgiou, and Michele Pavon · 2016
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Nicolas Courty, Rémi Flamary, Devis Tuia, and Alain Rakotomamonjy · 2016
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Stochastic optimization for large-scale optimal transport
Aude Genevay, Marco Cuturi, Gabriel Peyré, and Francis Bach · 2016
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A review of matrix scaling and Sinkhorn’s normal form for matrices and positive maps
Martin Idel · 2016
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Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration
Jason Altschuler, Jonathan Weed, and Philippe Rigollet · 2017
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Learning Generative models with Sinkhorn divergences
Aude Genevay, Gabriel Peyré, and Marco Cuturi · 2018
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Giulia Luise, Alessandro Rudi, Massimiliano Pontil, and Carlo Ciliberto · 2018
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Sample complexity of Sinkhorn divergences
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Wasserstein regularization for sparse multi-task regression
Hicham Janati, Marco Cuturi, and Alexandre Gramfort · 2019
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On the complexity of approximating multimarginal optimal transport
Tianyi Lin, Nhat Ho, Marco Cuturi, and Michael I Jordan · 2019
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Quadratically regularized optimal transport
Dirk A Lorenz, Paul Manns, and Christian Meyer · 2019
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Sinkhorn Barycenters with Free Support via Frank-Wolfe Algorithm
Giulia Luise, Saverio Salzo, Massimiliano Pontil, and Carlo Ciliberto · 2019
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Orlicz-space regularization for optimal transport and algorithms for quadratic regularization
Dirk A Lorenz and Hinrich Mahler · 2020
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