Characterization of barycenters in the Wasserstein space by averaging optimal transport maps
ESAIM: PS, 22 (2018) 35-57
Published online: 2018-10-11
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:
This article has been cited by the following article(s):
Wasserstein-Fréchet integration of conditional distributions
Álvaro Gajardo, Hans-Georg Müller and Hang ZhouElectronic Journal of Statistics 19 (1) (2025)
https://doi.org/10.1214/25-EJS2371
Generalized Wasserstein Barycenters
Francesco Tornabene, Marco Veneroni and Giuseppe SavaréApplied Mathematics & Optimization 92 (3) (2025)
https://doi.org/10.1007/s00245-025-10351-6
On the Wasserstein Median of Probability Measures
Kisung You, Dennis Shung and Mauro GiuffrèJournal of Computational and Graphical Statistics 34 (1) 253 (2025)
https://doi.org/10.1080/10618600.2024.2374580
Optimal Transport based Cross-Domain Integration for Heterogeneous Data
Yubai Yuan, Yijiao Zhang, Babak Shahbaba, Norbert Fortin, Keiland Cooper, Qing Nie and Annie QuJournal of the American Statistical Association 120 (551) 1449 (2025)
https://doi.org/10.1080/01621459.2025.2540653
An ODE characterization of multi-marginal optimal transport with pairwise cost functions
Luca Nenna and Brendan PassIMA Journal of Numerical Analysis (2025)
https://doi.org/10.1093/imanum/draf067
Convergence rate of entropy-regularized multi-marginal optimal transport costs
Luca Nenna and Paul PegonCanadian Journal of Mathematics 1 (2024)
https://doi.org/10.4153/S0008414X24000257
Quantitative stability of barycenters in the Wasserstein space
Guillaume Carlier, Alex Delalande and Quentin MérigotProbability Theory and Related Fields 188 (3-4) 1257 (2024)
https://doi.org/10.1007/s00440-023-01241-5
Stochastic gradient descent for barycenters in Wasserstein space
Julio Backhoff, Joaquin Fontbona, Gonzalo Rios and Felipe TobarJournal of Applied Probability 1 (2024)
https://doi.org/10.1017/jpr.2024.39
Linearized Optimal Transport on Manifolds
Clément Sarrazin and Bernhard SchmitzerSIAM Journal on Mathematical Analysis 56 (4) 4970 (2024)
https://doi.org/10.1137/23M1564535
Causal inference on distribution functions
Zhenhua Lin, Dehan Kong and Linbo WangJournal of the Royal Statistical Society Series B: Statistical Methodology 85 (2) 378 (2023)
https://doi.org/10.1093/jrsssb/qkad008
Simple approximative algorithms for free-support Wasserstein barycenters
Johannes von LindheimComputational Optimization and Applications 85 (1) 213 (2023)
https://doi.org/10.1007/s10589-023-00458-3
Hellinger–Kantorovich barycenter between Dirac measures
Mauro Bonafini, Olga Minevich and Bernhard SchmitzerESAIM: Control, Optimisation and Calculus of Variations 29 19 (2023)
https://doi.org/10.1051/cocv/2022088
Bayesian learning with Wasserstein barycenters
Julio Backhoff-Veraguas, Joaquin Fontbona, Gonzalo Rios and Felipe TobarESAIM: Probability and Statistics 26 436 (2022)
https://doi.org/10.1051/ps/2022015
Ensemble Riemannian data assimilation: towards large-scale dynamical systems
Sagar K. Tamang, Ardeshir Ebtehaj, Peter Jan van Leeuwen, Gilad Lerman and Efi Foufoula-GeorgiouNonlinear Processes in Geophysics 29 (1) 77 (2022)
https://doi.org/10.5194/npg-29-77-2022
Detecting the Spatial Mismatch of Water Resources and Grain Planting Pattern Changes in China Based on Satellite Data
Yinan Feng and Jieyong WangFrontiers in Environmental Science 10 (2022)
https://doi.org/10.3389/fenvs.2022.904779
Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
Florian Heinemann, Axel Munk and Yoav ZemelSIAM Journal on Mathematics of Data Science 4 (1) 229 (2022)
https://doi.org/10.1137/20M1385263
An LP-based, strongly-polynomial 2-approximation algorithm for sparse Wasserstein barycenters
Steffen BorgwardtOperational Research 22 (2) 1511 (2022)
https://doi.org/10.1007/s12351-020-00589-z
Distributionally robust portfolio maximization and marginal utility pricing in one period financial markets
Jan Obłój and Johannes WieselMathematical Finance 31 (4) 1454 (2021)
https://doi.org/10.1111/mafi.12337
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT
Guillaume Carlier, Katharina Eichinger and Alexey KroshninSIAM Journal on Mathematical Analysis 53 (5) 5880 (2021)
https://doi.org/10.1137/20M1387262
Global Sensitivity Analysis and Wasserstein Spaces
Jean-Claude Fort, Thierry Klein and Agnès LagnouxSIAM/ASA Journal on Uncertainty Quantification 9 (2) 880 (2021)
https://doi.org/10.1137/20M1354957
Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$
Gero Friesecke, Daniel Matthes and Bernhard SchmitzerSIAM Journal on Mathematical Analysis 53 (1) 62 (2021)
https://doi.org/10.1137/20M1315555
An Invitation to Statistics in Wasserstein Space
Victor M. Panaretos and Yoav ZemelSpringerBriefs in Probability and Mathematical Statistics, An Invitation to Statistics in Wasserstein Space 59 (2020)
https://doi.org/10.1007/978-3-030-38438-8_3
An Invitation to Statistics in Wasserstein Space
Victor M. Panaretos and Yoav ZemelSpringerBriefs in Probability and Mathematical Statistics, An Invitation to Statistics in Wasserstein Space 75 (2020)
https://doi.org/10.1007/978-3-030-38438-8_4
Gaussian processes with multidimensional distribution inputs via optimal transport and Hilbertian embedding
François Bachoc, Alexandra Suvorikova, David Ginsbourger, Jean-Michel Loubes and Vladimir SpokoinyElectronic Journal of Statistics 14 (2) (2020)
https://doi.org/10.1214/20-EJS1725
Statistical Aspects of Wasserstein Distances
Victor M. Panaretos and Yoav ZemelAnnual Review of Statistics and Its Application 6 (1) 405 (2019)
https://doi.org/10.1146/annurev-statistics-030718-104938
Central limit theorem and bootstrap procedure for Wasserstein’s variations with an application to structural relationships between distributions
Eustasio del Barrio, Paula Gordaliza, Hélène Lescornel and Jean-Michel LoubesJournal of Multivariate Analysis 169 341 (2019)
https://doi.org/10.1016/j.jmva.2018.09.014
Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line
Jérémie Bigot, Raúl Gouet, Thierry Klein and Alfredo LópezElectronic Journal of Statistics 12 (2) (2018)
https://doi.org/10.1214/18-EJS1400