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Equilibrium multi-population matching (matching for teams) is a problem from mathematical economics which is related to multi-marginal optimal transport.
Some global convergence properties of a variable metric algorithm for minimization without exact line searches
M.J.D. Powell · 1976
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Nonsmooth optimization
C. Lemaréchal, R. Mifflin, and International Institute for Applied Systems Analysis · 1978
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Polar factorization and monotone rearrangement of vector-valued functions
Yann Brenier · 1991
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Convex analysis and minimization algorithms
J.B. Hiriart-Urruty and C. Lemaréchal · 1996
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A convexity principle for interacting gases
Robert J. McCann · 1997
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Optimal maps for the multidimensional Monge-Kantorovich problem
Wilfrid Gangbo and Andrzej Swiech · 1998
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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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Combinatorial optimization: polyhedra and efficiency
Alexander Schrijver · 2003
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Topics in optimal transportation
Cédric Villani · 2003
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A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
J.V. Burke, A.S. Lewis, and M.L. Overton · 2005
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Globally convergent limited memory bundle method for large-scale nonsmooth optimization
Napsu Haarala, Kaisa Miettinen, and Marko M Mäkelä · 2007
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Graph implementations for nonsmooth convex programs
Michael Grant and Stephen Boyd · 2008
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Behavior of BFGS with an exact line search on nonsmooth examples
A.S. Lewis and M.L. Overton · 2008
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Nonsmooth optimization via BFGS
A.S. Lewis and M.L. Overton · 2009
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Optimal transport: old and new
Cédric Villani · 2009
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Matching for teams
Guillaume Carlier and Ivar Ekeland · 2010
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Discrete optimal transport: complexity, geometry and applications
Quentin Mérigot and Édouard Oudet · 2012
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Brendan Pass · 2012
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On the local structure of optimal measures in the multi-marginal optimal transportation problem
Brendan Pass · 2012
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Wasserstein barycenter and its application to texture mixing
Julien Rabin, Gabriel Peyré, Julie Delon, and Marc Bernot · 2012
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A self-dual polar factorization for vector fields
Nassif Ghoussoub and Abbas Moameni · 2013
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Numerical solution of the optimal transportation problem using the monge–ampère equation
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CVX: Matlab software for disciplined convex programming, version 1.21
M. Grant and S. Boyd · 2010
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Barycenters in the wasserstein space
Martial Agueh and Guillaume Carlier · 2011
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Random phase textures: theory and synthesis
Bruno Galerne, Yann Gousseau, and Jean-Michel Morel · 2011
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Consistent estimation of a population barycenter in the wasserstein space
Jérémie Bigot and Thierry Klein · 2012
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Jean-David Benamou, Brittany D Froese, and Adam M Oberman · 2014
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Fast computation of Wasserstein barycenters
Marco Cuturi and Arnaud Doucet · 2014
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Remarks on multi-marginals symmetric Monge-Kantorovich problems
Nassif Ghoussoub and Bernard Maurey · 2014
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Optimal transport with proximal splitting
Nicolas Papadakis, Gabriel Peyré, and Edouard Oudet · 2014
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