A fixed-point approach to barycenters in Wasserstein space

17 November 2015

P. C. Álvarez-Esteban

E. del Barrio

J. A. Cuesta-Albertos

Carlos Matrán

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Papers citing "A fixed-point approach to barycenters in Wasserstein space"

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Title
Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport Milena Gazdieva Jaemoo Choi Alexander Kolesov Jaewoong Choi Petr Mokrov Alexander Korotin OT 55 0 0 04 Oct 2024
Large Deviations Principle for Bures-Wasserstein Barycenters Adam Quinn Jaffe Leonardo P. M. Santoro 28 0 0 17 Sep 2024
Non-injectivity of Bures--Wasserstein barycentres in infinite dimensions Y. Zemel 24 1 0 15 Nov 2023
Energy-Guided Continuous Entropic Barycenter Estimation for General Costs Alexander Kolesov Petr Mokrov Igor Udovichenko Milena Gazdieva G. Pammer Anastasis Kratsios Evgeny Burnaev Alexander Korotin OT 54 2 0 02 Oct 2023
The geometry of financial institutions -- Wasserstein clustering of financial data Lorenz Riess Mathias Beiglbock J. Temme Andreas Wolf Julio Backhoff 14 2 0 05 May 2023
Doubly Regularized Entropic Wasserstein Barycenters Lénaïc Chizat 25 12 0 21 Mar 2023
Bures-Wasserstein Barycenters and Low-Rank Matrix Recovery Tyler Maunu Thibaut Le Gouic Philippe Rigollet 30 5 0 26 Oct 2022
Learning Optimal Transport Between two Empirical Distributions with Normalizing Flows Florentin Coeurdoux N. Dobigeon P. Chainais OOD OT 37 7 0 04 Jul 2022
Distributional Gaussian Processes Layers for Out-of-Distribution Detection S. Popescu D. Sharp James H. Cole Konstantinos Kamnitsas Ben Glocker OOD 36 0 0 27 Jun 2022
Efficient Forecasting of Large Scale Hierarchical Time Series via Multilevel Clustering Xing Han Tongzheng Ren Jing Hu Joydeep Ghosh Nhat Ho AI4TS 40 0 0 27 May 2022
Wasserstein Iterative Networks for Barycenter Estimation Alexander Korotin Vage Egiazarian Lingxiao Li Evgeny Burnaev 47 24 0 28 Jan 2022
Measure Estimation in the Barycentric Coding Model Matthew Werenski Ruijie Jiang Abiy Tasissa Shuchin Aeron James M. Murphy 44 14 0 28 Jan 2022
Deep Optimal Transport for Domain Adaptation on SPD Manifolds Ce Ju Cuntai Guan 53 3 0 15 Jan 2022
Variational Wasserstein Barycenters with c-Cyclical Monotonicity Jinjin Chi Zhiyao Yang Jihong Ouyang Ximing Li 33 5 0 22 Oct 2021
Dynamical Wasserstein Barycenters for Time-series Modeling Kevin C. Cheng Shuchin Aeron M. C. Hughes Eric L. Miller 37 14 0 13 Oct 2021
Automatic Text Evaluation through the Lens of Wasserstein Barycenters Pierre Colombo Guillaume Staerman Chloé Clavel Pablo Piantanida 27 41 0 27 Aug 2021
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent Jason M. Altschuler Sinho Chewi P. Gerber Austin J. Stromme 25 36 0 16 Jun 2021
Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization Alexander Korotin Lingxiao Li Justin Solomon Evgeny Burnaev 27 48 0 02 Feb 2021
Scalable Computations of Wasserstein Barycenter via Input Convex Neural Networks JiaoJiao Fan Amirhossein Taghvaei Yongxin Chen 42 57 0 08 Jul 2020
Projection to Fairness in Statistical Learning Thibaut Le Gouic Jean-Michel Loubes Philippe Rigollet 33 3 0 24 May 2020
Wasserstein-2 Generative Networks Alexander Korotin Vage Egiazarian Arip Asadulaev Alexander Safin Evgeny Burnaev GAN 131 101 0 28 Sep 2019
Bayesian Learning with Wasserstein Barycenters Julio D. Backhoff Veraguas J. Fontbona Gonzalo Rios Felipe A. Tobar 34 29 0 28 May 2018
Fréchet Means and Procrustes Analysis in Wasserstein Space Y. Zemel V. Panaretos 33 112 0 24 Jan 2017