Fetching the paper…
Reading the bibliography…
We present and study a novel algorithm for the computation of 2-Wasserstein population barycenters of absolutely continuous probability measures on Euclidean space.
A stochastic approximation method
Herbert Robbins and Sutton Monro · 1951
Earlier work this paper cites.
A relationship between arbitrary positive matrices and doubly stochastic matrices
Richard Sinkhorn · 1964
Earlier work this paper cites.
Concerning nonnegative matrices and doubly stochastic matrices
Richard Sinkhorn and Paul Knopp · 1967
Earlier work this paper cites.
Probability with Martingales
David Williams · 1991
Earlier work this paper cites.
Optimal coupling of multivariate distributions and stochastic processes
Juan Cuesta-Albertos, L Ruschendorf, and Araceli Tuero-Diaz · 1993
Earlier work this paper cites.
Optimal transportation plans and convergence in distribution
Juan Cuesta-Albertos, C Matrán, and Araceli Tuero-Diaz · 1997
Earlier work this paper cites.
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Jean-David Benamou and Yann Brenier · 2000
Earlier work this paper cites.
Minimizing flows for the Monge–Kantorovich problem
Sigurd Angenent, Steven Haker, and Allen Tannenbaum · 2003
Earlier work this paper cites.
Topics in optimal transportation
Cédric Villani · 2003
Earlier work this paper cites.
Numerical solution of the Monge–Ampère equation by a Newton’s algorithm
Grégoire Loeper and Francesca Rapetti · 2005
Earlier work this paper cites.
All of Nonparametric Statistics
Larry Wasserman · 2006
Earlier work this paper cites.
Gradient flows in metric spaces and in the space of probability measures
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2008
Earlier work this paper cites.
Optimal Transport: Old and New
Cédric Villani · 2008
Earlier work this paper cites.
Measurability of optimal transportation and strong coupling of martingale measures
Joaquin Fontbona, Hélène Guérin, and Sylvie Méléard · 2010
Earlier work this paper cites.
Barycenters in the Wasserstein space
Martial Agueh and Guillaume Carlier · 2011
Earlier work this paper cites.
Displacement interpolation using Lagrangian mass transport
Nicolas Bonneel, Michiel van de Panne, Sylvain Paris, and Wolfgang Heidrich · 2011
Earlier work this paper cites.
Stochastic gradient descent on Riemannian manifolds
Silvere Bonnabel · 2013
Earlier work this paper cites.
Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi · 2013
Earlier work this paper cites.
A remark on the optimal transport between two probability measures sharing the same copula
Aurélien Alfonsi and Benjamin Jourdain · 2014
Earlier work this paper cites.
Fast computation of Wasserstein barycenters
Marco Cuturi and Arnaud Doucet · 2014
Cited alongside, same era.
Convolutional Wasserstein distances: Efficient optimal transportation on geometric domains
Justin Solomon, Fernando De Goes, Gabriel Peyré, Marco Cuturi, Adrian Butscher, Andy Nguyen, Tao Du, and Leonidas Guibas · 2015
Cited alongside, same era.
A fixed-point approach to barycenters in Wasserstein space
Pedro C Álvarez-Esteban, Eustasio del Barrio, Juan A Cuesta-Albertos, and Carlos Matrán · 2016
Cited alongside, same era.
A smoothed dual approach for variational Wasserstein problems
Marco Cuturi and Gabriel Peyré · 2016
Cited alongside, same era.
Kantorovich duality for general transport costs and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson, and Prasad Tetali · 2017
Cited alongside, same era.
Wasserstein barycenters over Riemannian manifolds
Young-Heon Kim and Brendan Pass · 2017
Optimal transport natural gradient for statistical manifolds with continuous sample space
Yifan Chen and Wuchen Li · 2020
Later among the works it cites.
Gradient descent algorithms for Bures-Wasserstein barycenters
Sinho Chewi, Tyler Maunu, Philippe Rigollet, and Austin J Stromme · 2020
Later among the works it cites.
On a mixture of Brenier and Strassen theorems
Nathael Gozlan and Nicolas Juillet · 2020
Later among the works it cites.
An Invitation to Statistics in Wasserstein Space
Victor M Panaretos and Yoav Zemel · 2020
Later among the works it cites.
Bayesian deep learning and a probabilistic perspective of generalization
Andrew G Wilson and Pavel Izmailov · 2020
Later among the works it cites.
Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measures
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Existence and consistency of Wasserstein barycenters
Thibaut Le Gouic and Jean-Michel Loubes · 2017
Cited alongside, same era.
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 · 2018
Cited alongside, same era.
Characterization of barycenters in the Wasserstein space by averaging optimal transport maps
Jérémie Bigot and Thierry Klein · 2018
Cited alongside, same era.
Optimization methods for large-scale machine learning
Léon Bottou, Frank E Curtis, and Jorge Nocedal · 2018
Cited alongside, same era.
Optimization methods for large-scale machine learning
Léon Bottou, Frank E. Curtis, and Jorge Nocedal · 2018
Cited alongside, same era.
On the global convergence of gradient descent for over-parameterized models using optimal transport
Lenaic Chizat and Francis Bach · 2018
Cited alongside, same era.
Bernard Bercu and Jérémie Bigot · 2021
Later among the works it cites.
A novel notion of barycenter for probability distributions based on optimal weak mass transport
Elsa Cazelles, Felipe Tobar, and Joaquin Fontbona · 2021
Later among the works it cites.
Rates of estimation of optimal transport maps using plug-in estimators via barycentric projections
Nabarun Deb, Promit Ghosal, and Bodhisattva Sen · 2021
Later among the works it cites.
Minimax estimation of smooth optimal transport maps
Jan-Christian Hütter and Philippe Rigollet · 2021
Later among the works it cites.
Modified frank wolfe in probability space
Carson Kent, Jiajin Li, Jose Blanchet, and Peter W Glynn · 2021
Later among the works it cites.
Do neural optimal transport solvers work? A continuous Wasserstein-2 benchmark
Alexander Korotin, Lingxiao Li, Aude Genevay, Justin M Solomon, Alexander Filippov, and Evgeny Burnaev · 2021
Later among the works it cites.
Entropy-regularized 2-Wasserstein distance between Gaussian measures
Anton Mallasto, Augusto Gerolin, and Hà Quang Minh · 2021
Later among the works it cites.
Plugin estimation of smooth optimal transport maps
Tudor Manole, Sivaraman Balakrishnan, Jonathan Niles-Weed, and Larry Wasserman · 2021
Later among the works it cites.
Entropic estimation of optimal transport maps
Aram-Alexandre Pooladian and Jonathan Niles-Weed · 2021
Later among the works it cites.
Bayesian learning with Wasserstein barycenters
Julio Backhoff-Veraguas, Joaquin Fontbona, Gonzalo Rios, and Felipe Tobar · 2022
Closest in time.
Quantitative stability of barycenters in the Wasserstein space
Guillaume Carlier, Alex Delalande, and Quentin Merigot · 2022
Closest in time.
Doubly regularized entropic Wasserstein barycenters
Lénaïc Chizat · 2023
Closest in time.
Computational guarantees for doubly entropic Wasserstein barycenters via damped Sinkhorn iterations
Lénaïc Chizat and Tomas Vaškevičius · 2023
Closest in time.