Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Quantitative stability of barycenters in the Wasserstein space

Guillaume Carlier, Alex Delalande and Quentin Mérigot
Probability Theory and Related Fields 188 (3-4) 1257 (2024)

An Integer Program for Pricing Support Points of Exact Barycenters

Steffen Borgwardt and Stephan Patterson
INFORMS Journal on Optimization 6 (2) 137 (2024)

Distributed Wasserstein Barycenters via Displacement Interpolation

Pedro Cisneros-Velarde and Francesco Bullo
IEEE Transactions on Control of Network Systems 10 (2) 785 (2023)

Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms

Florian Heinemann, Marcel Klatt and Axel Munk
Applied Mathematics & Optimization 87 (1) (2023)

Polynomial-time algorithms for multimarginal optimal transport problems with structure

Jason M. Altschuler and Enric Boix-Adserà
Mathematical Programming 199 (1-2) 1107 (2023)

Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems

Christoph Strössner and Daniel Kressner
SIAM Journal on Imaging Sciences 16 (1) 169 (2023)

An implicit gradient-descent procedure for minimax problems

Montacer Essid, Esteban G. Tabak and Giulio Trigila
Mathematical Methods of Operations Research 97 (1) 57 (2023)

Accelerating the Sinkhorn Algorithm for Sparse Multi-Marginal Optimal Transport via Fast Fourier Transforms

Fatima Antarou Ba and Michael Quellmalz
Algorithms 15 (9) 311 (2022)

Domain adaptation based on rough adjoint inconsistency and optimal transport for identifying autistic patients

Chun-lei Shi, Xian-wei Xin and Jia-cai Zhang
Computer Methods and Programs in Biomedicine 215 106615 (2022)

Genetic Column Generation: Fast Computation of High-Dimensional Multimarginal Optimal Transport Problems

Gero Friesecke, Andreas S. Schulz and Daniela Vögler
SIAM Journal on Scientific Computing 44 (3) A1632 (2022)

Wasserstein Barycenters Are NP-Hard to Compute

Jason M. Altschuler and Enric Boix-Adserà
SIAM Journal on Mathematics of Data Science 4 (1) 179 (2022)

Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT

Guillaume Carlier, Katharina Eichinger and Alexey Kroshnin
SIAM Journal on Mathematical Analysis 53 (5) 5880 (2021)

A Stochastic Multi-layer Algorithm for Semi-discrete Optimal Transport with Applications to Texture Synthesis and Style Transfer

Arthur Leclaire and Julien Rabin
Journal of Mathematical Imaging and Vision 63 (2) 282 (2021)

On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters

G. I. Papayiannis, G. N. Domazakis, D. Drivaliaris, et al.
Journal of Statistical Computation and Simulation 91 (13) 2569 (2021)

Clustering Patterns Connecting COVID-19 Dynamics and Human Mobility Using Optimal Transport

Frank Nielsen, Gautier Marti, Sumanta Ray and Saumyadipta Pyne
Sankhya B 83 (S1) 167 (2021)

Simulation of broad-band ground motions with consistent long-period and short-period components using the Wasserstein interpolation of acceleration envelopes

Tomohisa Okazaki, Hirotaka Hachiya, Asako Iwaki, et al.
Geophysical Journal International 227 (1) 333 (2021)

Fusion of Elliptical Extended Object Estimates Parameterized With Orientation and Axes Lengths

Kolja Thormann and Marcus Baum
IEEE Transactions on Aerospace and Electronic Systems 57 (4) 2369 (2021)

Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport

Vincent Divol and Théo Lacombe
Journal of Applied and Computational Topology 5 (1) 1 (2021)

Wasserstein barycenters in the manifold of all positive definite matrices

Elham Nobari and Bijan Ahmadi Kakavandi
Quarterly of Applied Mathematics 77 (3) 655 (2019)

Data-driven regularization of Wasserstein barycenters with an application to multivariate density registration

Jérémie Bigot, Elsa Cazelles and Nicolas Papadakis
Information and Inference: A Journal of the IMA 8 (4) 719 (2019)

Robust clustering tools based on optimal transportation

E. del Barrio, J. A. Cuesta-Albertos, C. Matrán and A. Mayo-Íscar
Statistics and Computing 29 (1) 139 (2019)

Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning

Morgan A. Schmitz, Matthieu Heitz, Nicolas Bonneel, et al.
SIAM Journal on Imaging Sciences 11 (1) 643 (2018)

Wide consensus aggregation in the Wasserstein space. Application to location-scatter families

Pedro C. Álvarez-Esteban, Eustasio del Barrio, Juan A. Cuesta-Albertos and Carlos Matrán
Bernoulli 24 (4A) (2018)

Fast Discrete Distribution Clustering Using Wasserstein Barycenter With Sparse Support

Jianbo Ye, Panruo Wu, James Z. Wang and Jia Li
IEEE Transactions on Signal Processing 65 (9) 2317 (2017)

A fixed-point approach to barycenters in Wasserstein space

Pedro C. Álvarez-Esteban, E. del Barrio, J.A. Cuesta-Albertos and C. Matrán
Journal of Mathematical Analysis and Applications 441 (2) 744 (2016)

Splitting Methods in Communication, Imaging, Science, and Engineering

Jean-David Benamou, Guillaume Carlier and Luca Nenna
Scientific Computation, Splitting Methods in Communication, Imaging, Science, and Engineering 577 (2016)

A Smoothed Dual Approach for Variational Wasserstein Problems

Marco Cuturi and Gabriel Peyré
SIAM Journal on Imaging Sciences 9 (1) 320 (2016)

Convolutional wasserstein distances

Justin Solomon, Fernando de Goes, Gabriel Peyré, et al.
ACM Transactions on Graphics 34 (4) 1 (2015)

Multi-marginal optimal transport: Theory and applications

Brendan Pass
ESAIM: Mathematical Modelling and Numerical Analysis 49 (6) 1771 (2015)