Vers un théorème de la limite centrale dans l'espace de Wasserstein ?

Author:

Agueh Martial,Carlier Guillaume

Publisher

Elsevier BV

Subject

General Mathematics

Reference13 articles.

1. Barycenters in the Wasserstein space;Agueh;SIAM J. Math. Anal.,2011

2. Iterative Bregman projections for regularized transportation problems;Benamou;SIAM J. Sci. Comput.,2015

3. Polar factorization and monotone. Rearrangement of vector-valued functions;Brenier;Commun. Pure Appl. Anal.,1991

4. M. Cuturi, A. Doucet, Fast computation of Wasserstein barycenters, in: Proceedings of the 31st International Conference on Machine Learning (ICML-14), Beijing, China, 21–26 June 2014, pp. 685–693.

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1. Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space;Journal of the European Mathematical Society;2022-05-20

2. Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees;SIAM Journal on Mathematics of Data Science;2022-02-28

3. Statistical inference for Bures–Wasserstein barycenters;The Annals of Applied Probability;2021-06-01

4. Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT;SIAM Journal on Mathematical Analysis;2021-01

5. Phase Variation and Fréchet Means;An Invitation to Statistics in Wasserstein Space;2020

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