Quantitative stability of barycenters in the Wasserstein space
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Publication:6193773
DOI10.1007/s00440-023-01241-5arXiv2209.10217OpenAlexW4297899550MaRDI QIDQ6193773
Guillaume Carlier, Quentin Mérigot, Alex Delalande
Publication date: 19 March 2024
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.10217
Cites Work
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- Computational Optimal Transport: With Applications to Data Science
- Convexity of the support of the displacement interpolation: counterexamples
- On the rate of convergence in Wasserstein distance of the empirical measure
- Wasserstein barycenters over Riemannian manifolds
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- A convexity principle for interacting gases
- Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line
- Weak convergence and empirical processes. With applications to statistics
- Optimal transportation with infinitely many marginals
- Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
- Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
- Convergence of a Newton algorithm for semi-discrete optimal transport
- Distribution's template estimate with Wasserstein metrics
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Existence and consistency of Wasserstein barycenters
- Convolutional wasserstein distances
- Barycenters in the Wasserstein Space
- Numerical methods for matching for teams and Wasserstein barycenters
- Polar factorization and monotone rearrangement of vector‐valued functions
- Characterization of barycenters in the Wasserstein space by averaging optimal transport maps
- Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT
- An Invitation to Statistics in Wasserstein Space
- Penalization of Barycenters in the Wasserstein Space
- Iterative Bregman Projections for Regularized Transportation Problems
- Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space
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