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Wasserstein barycenters correspond to optimal solutions of transportation problems for several marginals, and as such have a wide range of applications ranging from economics to statistics and computer science.
Duality theorems for marginal problems
H. Kellerer · 1984
Earlier work this paper cites.
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S. Rachev · 1984
Earlier work this paper cites.
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Earlier work this paper cites.
Deformable template models: A review
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Earlier work this paper cites.
Barycenters in the Wasserstein space
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Earlier work this paper cites.
Probability measures on the space of persistence diagrams
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Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem
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Consistent estimation of a population barycenter in the Wasserstein space
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Optimal-transport formulation of electronic density-functional theory
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Numerical methods for matching for teams and Wasserstein barycenters
G. Carlier, A. Oberman, and E. Oudet · 2014
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Fast Computation of Wasserstein Barycenters
M. Cuturi and A. Doucet · 2014
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A stochastic control approach to non-arbitrage bounds given marginals, with an application to lookback options
A. Galichon, P. Henry-Labordere, and N. Touzi · 2014
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Multi-marginal optimal transport and multi-agent matching problems: Uniqueness and structure of solutions
B. Pass · 2014
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Frechet means for distributions of persistence diagrams
K. Turner, Y. Mileyko, S. Mukherjee, and J. Harer · 2014
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Distribution’s template estimate with Wasserstein metrics
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