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Scalable Computation of Dynamic Flow Problems via Multimarginal Graph-Structured Optimal Transport
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Gaussian discrepancy: A probabilistic relaxation of vector balancing
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Ensemble Riemannian data assimilation: towards large-scale dynamical systems
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Distributionally Robust Linear and Discrete Optimization with Marginals
Nikita A. Gladkov, Alexander V. Kolesnikov and Alexander P. Zimin Journal of Mathematical Analysis and Applications 506(2) 125666 (2022) https://doi.org/10.1016/j.jmaa.2021.125666
Accelerating the Sinkhorn Algorithm for Sparse Multi-Marginal Optimal Transport via Fast Fourier Transforms
Inference With Aggregate Data in Probabilistic Graphical Models: An Optimal Transport Approach
Rahul Singh, Isabel Haasler, Qinsheng Zhang, Johan Karlsson and Yongxin Chen IEEE Transactions on Automatic Control 67(9) 4483 (2022) https://doi.org/10.1109/TAC.2022.3172268
Задача Канторовича оптимальной транспортировки мер: новые направления исследований
Vladimir Igorevich Bogachev and Владимир Игоревич Богачев Успехи математических наук 77(5(467)) 3 (2022) https://doi.org/10.4213/rm10074
Coulomb and Riesz gases: The known and the unknown
Multi-Marginal Optimal Transport and Probabilistic Graphical Models
Isabel Haasler, Rahul Singh, Qinsheng Zhang, Johan Karlsson and Yongxin Chen IEEE Transactions on Information Theory 67(7) 4647 (2021) https://doi.org/10.1109/TIT.2021.3077465
Multi-marginal maximal monotonicity and convex analysis
Multimarginal Optimal Transport with a Tree-Structured Cost and the Schrödinger Bridge Problem
Isabel Haasler, Axel Ringh, Yongxin Chen and Johan Karlsson SIAM Journal on Control and Optimization 59(4) 2428 (2021) https://doi.org/10.1137/20M1320195
Hardness results for Multimarginal Optimal Transport problems
Geometric Partial Differential Equations - Part II
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Optimal transportation, modelling and numerical simulation
Detecting and modeling critical dependence structures between random inputs of computer models
Nazih Benoumechiara, Nicolas Bousquet, Bertrand Michel and Philippe Saint-Pierre Dependence Modeling 8(1) 263 (2020) https://doi.org/10.1515/demo-2020-0016
SCOTT: Shape-Location Combined Tracking with Optimal Transport
Xinye Zheng, Jianbo Ye, James Z. Wang and Jia Li SIAM Journal on Mathematics of Data Science 2(2) 284 (2020) https://doi.org/10.1137/19M1253976
Multi-marginal optimal transport using partial information with applications in robust localization and sensor fusion
Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space
Jean-David Benamou, Thomas O. Gallouët and François-Xavier Vialard Foundations of Computational Mathematics 19(5) 1113 (2019) https://doi.org/10.1007/s10208-019-09425-z
Interpolating between matching and hedonic pricing models
On multistochastic Monge–Kantorovich problem, bitwise operations, and fractals
Nikita A. Gladkov, Alexander V. Kolesnikov and Alexander P. Zimin Calculus of Variations and Partial Differential Equations 58(5) (2019) https://doi.org/10.1007/s00526-019-1610-4
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm