Quadratically regularized optimal transport

On the translocation of masses

Leonid V. Kantorovič · 1942

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Superlinear convergence of smoothing quasi-newton methods for nonsmooth equations

Xiaojun Chen · 1997

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Mass transportation problems. Vol. I

Svetlozar T. Rachev and Ludger Rüschendorf · 1998

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Mass transportation problems. Vol. II

Svetlozar T. Rachev and Ludger Rüschendorf · 1998

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Smoothing methods and semismooth methods for nondifferentiable operator equations

Xiaojun Chen, Zuhair Nashed, and Liqun Qi · 2000

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On convergence of SOR methods for nonsmooth equations

Xiaojun Chen · 2002

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Topics in optimal transportation

Cédric Villani · 2003

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Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints

Fredi Tröltzsch · 2005

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Modern methods in the calculus of variations: L p L^{p} spaces

Irene Fonseca and Giovanni Leoni · 2007

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Optimization with PDE constraints

Michael Hinze, René Pinnau, Michael Ulbrich, and Stefan Ulbrich · 2008

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Optimal transport. Old and new

Cédric Villani · 2009

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A user’s guide to optimal transport

Luigi Ambrosio and Nicola Gigli · 2013

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Sinkhorn distances: Lightspeed computation of optimal transport

Marco Cuturi · 2013

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Optimal transport with proximal splitting

Nicolas Papadakis, Gabriel Peyré, and Edouard Oudet · 2014

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Optimal transport for applied mathematicians

Filippo Santambrogio · 2015

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Coordinate descent algorithms

Stephen J. Wright · 2015

A smoothed dual approach for variational Wasserstein problems

Marco Cuturi and Gabriel Peyré · 2016

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Convergence of entropic schemes for optimal transport and gradient flows

Guillaume Carlier, Vincent Duval, Gabriel Peyré, and Bernhard Schmitzer · 2017

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Gini-regularized optimal transport with an application to spatio-temporal forecasting

Original

Lucas Roberts, Leo Razoumov, Lin Su, and Yuyang Wang · 2017

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Smooth and sparse optimal transport

Mathieu Blondel, Vivien Seguy, and Antoine Rolet · 2018

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Quadratically regularized optimal transport on graphs

Montacer Essid and Justin Solomon · 2018

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Learning generative models with sinkhorn divergences