Central limit theorems for general transportation costs
From MaRDI portal
Publication:6596218
DOI10.1214/22-aihp1356zbMATH Open1546.49083MaRDI QIDQ6596218
Alberto González Sanz, Jean-Michel Loubes, Eustasio del Barrio
Publication date: 2 September 2024
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Cesàro meansBanach-Saks propertyoptimal transportcentral limit theorem (CLT)Efron-Stein's inequality
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Optimal transportation (49Q22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the rate of convergence in Wasserstein distance of the empirical measure
- Functional analysis, Sobolev spaces and partial differential equations
- On optimal matchings
- On Hoeffding-Fréchet bounds and cyclic monotone relations
- Matching random samples in many dimensions
- The integrability of the square exponential transportation cost
- The transportation cost from the uniform measure to the empirical measure in dimension \(\geq 3\)
- Optimal transportation plans and convergence in distribution
- The geometry of optimal transportation
- Scaling and non-standard matching theorems
- A PDE approach to a 2-dimensional matching problem
- Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
- Central limit theorems for the Wasserstein distance between the empirical and the true distributions
- On \(c\)-optimal random variables
- Tackling algorithmic bias in neural-network classifiers using Wasserstein-2 regularization
- A central limit theorem for Wasserstein type distances between two distinct univariate distributions
- Empirical optimal transport on countable metric spaces: distributional limits and statistical applications
- On optimal matching of Gaussian samples
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Central limit theorems for empirical transportation cost in general dimension
- Characterization of the subdifferentials of convex functions
- An optimal Poincaré inequality in $L^1$ for convex domains
- Inference for Empirical Wasserstein Distances on Finite Spaces
- A Gaussian Process Regression Model for Distribution Inputs
- Optimal solutions of multivariate coupling problems
- Editorial IMA IAI - Information and Inference special issue on optimal transport in data sciences
- A central limit theorem for Lp transportation cost on the real line with application to fairness assessment in machine learning
- Convex Analysis
Related Items (2)
Regularity of center-outward distribution functions in non-convex domains ⋮ Empirical optimal transport under estimated costs: distributional limits and statistical applications
This page was built for publication: Central limit theorems for general transportation costs