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We propose a new algorithm to approximate the Earth Mover's distance (EMD).
A continuous model of transportation,
M. Beckmann · 1952
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L 1 L_{1} and L ∞ L_{\infty} approximation of vector fields in the plane
Gilbert Strang · 1983
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On a partial differential equation involving the Jacobian determinant
B. Dacorogna and J. Moser · 1990
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Nonlinear total variation based noise removal algorithms
Leonid Rudin, Stanley Osher and Emad Fatemi · 1992
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A metric for distributions with applications to image databases
Yossi Rubner, Carlo Tomasi and Leonidas Guibas · 1998
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Differential equations methods for the Monge-Kantorovich mass transfer problem
Lawrence Evans and Wilfrid Gangbo · 1999
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Jean-David Benamou and Yann Brenier · 2000
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The earth mover’s distance as a metric for image retrieval
Yossi Rubner, Carlo Tomasi and Leonidas Guibas · 2000
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The earth mover’s distance is the Mallows distance: some insights from statistics
E. Levina and P. Bickel · 2001
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MongeÕs transport problem on a Riemannian manifold
Mikhail Feldman and Robert McCann · 2002
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Topics in optimal transportation
Cédric Villani · 2003
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Gradient flows: in metric spaces and in the space of probability measures
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2006
Cited alongside, same era.
Manhattan Networks and Algorithmic Applications for the Earth Movers Distance
J. Gudmundsson, O. Klein, C. Knauer, and M. Small · 2007
Cited alongside, same era.
An Efficient Earth MoverÕs Distance Algorithm for Robust Histogram Comparison
H. Ling and K. Okada · 2007
Cited alongside, same era.
Approximate earth moverÕs distance in linear time
Sameer Shirdhonkar and David Jacobs · 2008
Cited alongside, same era.
Absolute continuity and summability of transport densities: simpler proofs and new estimates
Filippo Santambrogio · 2009
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A first-order primal-dual algorithm for convex problems with applications to imaging
Antonin Chambolle and Thomas Pock · 2011
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Diagonal preconditioning for first order primal-dual algorithms in convex optimization,
Thomas Pock and Antonin Chambolle · 2011
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Earth mover’s distances on discrete surfaces
Justin Solomon, Raif Rustamov, Leonidas Guibas and Adrian Butscher · 2014
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Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
Jean-David Benamou and Guillaume Carlier · 2015
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A numerical solution to Monge’s problem with a Finsler distance as cost
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Bregman iterative algorithms for ℓ 1 \ell_{1} -minimization with applications to compressed sensing,
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The split Bregman method for L1-regularized problems
Tom Goldstein and Stanley Osher · 2009
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Fast and robust earth mover’s distances
Ofir Pele and Michael Werman · 2009
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