Plugin estimation of smooth optimal transport maps (Q6608676)

scientific article; zbMATH DE number 7916568

Language	Label	Description	Also known as
English	Plugin estimation of smooth optimal transport maps	scientific article; zbMATH DE number 7916568

Statements

instance of

scholarly article

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title

Plugin estimation of smooth optimal transport maps (English)

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author

Tudor Manole

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Sivaraman Balakrishnan

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Jonathan Niles-Weed

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Larry Alan Wasserman

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published in

The Annals of Statistics

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publication date

20 September 2024

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zbMATH Keywords

Brenier potential

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central limit theorem

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density estimation

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minimax estimation

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optimal transport map

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semiparametric efficiency

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Wasserstein distance

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Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

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One-dimensional empirical measures, order statistics, and Kantorovich transport distances

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On the mean speed of convergence of empirical and occupation measures in Wasserstein distance

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From Knothe's Rearrangement to Brenier's Optimal Transport Map

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Polar factorization and monotone rearrangement of vector‐valued functions

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Some regularity properties of solutions of Monge Ampère equation

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Boundary regularity of maps with convex potentials

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The Regularity of Mappings with a Convex Potential

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Boundary regularity of maps with convex potentials. II

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Monotonicity properties of optimal transportation and the FKG and related inequalities

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Monge-Kantorovich depth, quantiles, ranks and signs

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Kernel and wavelet density estimators on manifolds and more general metric spaces

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Wavelets on the interval and fast wavelet transforms

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Sur le transport de mesures périodiques

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Estimation by the nearest neighbor rule

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A plug-in approach to support estimation

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The Monge–Ampère equation and its link to optimal transportation

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Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation

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Central limit theorems for the Wasserstein distance between the empirical and the true distributions

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Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances

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A central limit theorem for Lp transportation cost on the real line with application to fairness assessment in machine learning

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Central limit theorems for empirical transportation cost in general dimension

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Quantitative stability of optimal transport maps under variations of the target measure

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Measure estimation on manifolds: an optimal transport approach

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The Speed of Mean Glivenko-Cantelli Convergence

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Large data and zero noise limits of graph-based semi-supervised learning algorithms

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Nonparametric curve estimation. Methods, theory, and applications

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Bias correction and higher order kernel functions

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The Monge-Ampère equation and its applications

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On the rate of convergence in Wasserstein distance of the empirical measure

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On Hadamard differentiability in \(k\)-sample semiparametric models -- with applications to the assessment of structural relationships

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Distribution-on-distribution regression via optimal transport maps

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Multivariate ranks and quantiles using optimal transport: consistency, rates and nonparametric testing

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On Hölder continuity-in-time of the optimal transport map towards measures along a curve

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A simple adaptive estimator of the integrated square of a density

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Mathematical Foundations of Infinite-Dimensional Statistical Models

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Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology

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On the Time-Continuous Mass Transport Problem and Its Approximation by Augmented Lagrangian Techniques

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ON THE CONVERGENCE RATE OF POTENTIALS OF BRENIER MAPS

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A distribution-free theory of nonparametric regression

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Distribution and quantile functions, ranks and signs in dimension \(d\): a measure transportation approach

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Optimal rates of entropy estimation over Lipschitz balls

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Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions

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Minimax estimation of smooth optimal transport maps

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Q5838558

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Density estimation in Besov spaces

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Torus graphs for multivariate phase coupling analysis

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On the optimal mapping of distributions

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On optimal matching of Gaussian samples

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Convergence and concentration of empirical measures under Wasserstein distance in unbounded functional spaces

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Numerical solution of the Monge--Ampère equation by a Newton's algorithm

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Regularity of potential functions of the optimal transportation problem

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Minimax confidence intervals for the sliced Wasserstein distance

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Sharp convergence rates for empirical optimal transport with smooth costs

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Multivariate probability density estimation by wavelet methods: Strong consistency and rates for stationary time series

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A Computational Framework for Multivariate Convex Regression and Its Variants

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Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit

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Minimax estimation of smooth densities in Wasserstein distance

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Estimation of Wasserstein distances in the spiked transport model

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Comparison between W<sub>2</sub> distance and Ḣ<sup>−1</sup> norm, and Localization of Wasserstein distance

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Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications

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Optimal transport for conditional domain matching and label shift

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Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling

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Nonparametric least squares estimation of a multivariate convex regression function

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Distribution-Free Consistent Independence Tests via Center-Outward Ranks and Signs

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Inference for Empirical Wasserstein Distances on Finite Spaces

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Q3139480

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Empirical optimal transport on countable metric spaces: distributional limits and statistical applications

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Introduction to nonparametric estimation

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On the second boundary value problem for equations of Monge-Ampère type.

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Asymptotic Statistics

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Q4781634

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Optimal Transport

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Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance

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Identifiers

DOI

10.1214/24-aos2379

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608676