Multimarginal Optimal Transport with a Tree-Structured Cost and the Schrödinger Bridge Problem
Authors:
- Isabel HaaslerIHIsabel Haasler
- Axel RinghARAxel Ringh
- Yongxin ChenYCYongxin Chen
- Johan KarlssonJKJohan Karlsson
- 1 January 2021
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 59 (4) , 2428-2453
Abstract
The optimal transport problem has recently developed into a powerful framework for various applications in estimation and control. Many of the recent advances in the theory and application of optim...Keywords
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Funding Information
- Knut och Alice Wallenbergs Stiftelse (KAW 2018.0349)
- Kungliga Tekniska Högskolan
- National Science Foundation (1901599, 1942523)
- Vetenskapsrådet (2014-5870)
This publication has 50 references indexed in Scilit:
- From the Schrödinger problem to the Monge–Kantorovich problemJournal of Functional Analysis, 2012
- Displacement interpolation using Lagrangian mass transportACM Transactions on Graphics, 2011
- Barycenters in the Wasserstein SpaceSIAM Journal on Mathematical Analysis, 2011
- Monge’s problem with a quadratic cost by the zero-noise limit of h-path processesProbability Theory and Related Fields, 2004
- On the n-Coupling ProblemJournal of Multivariate Analysis, 2002
- Dykstras algorithm with bregman projections: A convergence proofOptimization, 2000
- Optimal maps for the multidimensional Monge-Kantorovich problemCommunications on Pure and Applied Mathematics, 1998
- Why Least Squares and Maximum Entropy? An Axiomatic Approach to Inference for Linear Inverse ProblemsThe Annals of Statistics, 1991
- Dual Ascent Methods for Problems with Strictly Convex Costs and Linear Constraints: A Unified ApproachSIAM Journal on Control and Optimization, 1990
- Diagonal Equivalence to Matrices with Prescribed Row and Column SumsThe American Mathematical Monthly, 1967