Fetching the paper…
Reading the bibliography…
We extend the recently introduced genetic column generation algorithm for high-dimensional multi-marginal optimal transport from symmetric to general problems.
“On extreme points of convex sets”
Lester Dubins · 1962
Earlier work this paper cites.
“Polar factorization and monotone rearrangement of vector-valued functions”
Yann Brenier · 1991
Earlier work this paper cites.
“Optimal maps for the multidimensional Monge-Kantorovich problem”
Wilfrid Gangbo and Andrzej Święch · 1998
Earlier work this paper cites.
“Barycenters in the Wasserstein space”
Martial Agueh and Guillaume Carlier · 2011
Earlier work this paper cites.
“Fast computation of Wasserstein barycenters”
Marco Cuturi and Arnaud Doucet · 2014
Earlier work this paper cites.
“Iterative Bregman Projections for Regularized Transportation Problems”
Jean-David Benamou et al · 2015
Earlier work this paper cites.
“Multimarginal optimal transport maps for one–dimensional repulsive costs”
Maria Colombo, Luigi De and Simone Di · 2015
Earlier work this paper cites.
“Multi-marginal optimal transport: theory and applications”
Brendan Pass · 2015
Earlier work this paper cites.
“A smoothed dual approach for variational Wasserstein problems”
Marco Cuturi and Gabriel Peyré · 2016
Cited alongside, same era.
“Numerical methods for multi-marginal optimal transportation”, 2016
Luca Nenna · 2016
Cited alongside, same era.
“Wasserstein generative adversarial networks”
Martin Arjovsky, Soumith Chintala and Léon Bottou · 2017
Cited alongside, same era.
“Measure-valued spline curves: An optimal transport viewpoint”
Yongxin Chen, Giovanni Conforti and Tryphon Georgiou · 2018
Cited alongside, same era.
“Breaking the curse of dimension in multi-marginal Kantorovich optimal transport on finite state spaces”
Gero Friesecke and Daniela Vögler · 2018
Cited alongside, same era.
“Second-order models for optimal transport and cubic splines on the Wasserstein space”
Jean-David Benamou, Thomas Gallouët and François-Xavier Vialard · 2019
“Computational optimal transport: With applications to data science”
Gabriel Peyré and Marco Cuturi · 2019
Later among the works it cites.
“Stabilized sparse scaling algorithms for entropy regularized transport problems”
Bernhard Schmitzer · 2019
Later among the works it cites.
“The MOSEK optimization toolbox for MATLAB manual. Version 9.3.”, 2021
MOSEK ApS · 2021
Later among the works it cites.
“A fast globally linearly convergent algorithm for the computation of Wasserstein barycenters”
Lei Yang, Jia Li, Defeng Sun and Kim-Chuan Toh · 2021
Later among the works it cites.
“The strong-interaction limit of density functional theory”
Gero Friesecke, Paola Gori-Giorgi and Augusto Gerolin · 2022
Closest in time.
“Genetic Column Generation: Fast Computation of High-Dimensional Multimarginal Optimal Transport Problems”
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
“A simple counterexample to the Monge ansatz in multimarginal optimal transport, convex geometry of the set of Kantorovich plans, and the Frenkel–Kontorova model”
Gero Friesecke · 2019
Cited alongside, same era.
“Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost”
Augusto Gerolin, Anna Kausamo and Tapio Rajala · 2019
Cited alongside, same era.
“MNIST handwritten digit database”
Yann LeCun, Corinna Cortes and Christopher.C. Burges
Cited in the paper.
Gero Friesecke, Andreas. Schulz and Daniela Vögler · 2022
Closest in time.
“Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees”
Florian Heinemann, Axel Munk and Yoav Zemel · 2022
Closest in time.