Minimax confidence intervals for the sliced Wasserstein distance
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Publication:2137795
DOI10.1214/22-EJS2001zbMath1493.62236arXiv1909.07862OpenAlexW2974112908MaRDI QIDQ2137795
Sivaraman Balakrishnan, Tudor Manole, Larry Alan Wasserman
Publication date: 11 May 2022
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.07862
minimax lower boundnonparametric inferenceoptimal transportlikelihood-free inferencesliced Wasserstein distance
Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20) Nonparametric tolerance and confidence regions (62G15)
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Sharp convergence rates for empirical optimal transport with smooth costs, Central limit theorems for semi-discrete Wasserstein distances, Uniform confidence band for optimal transport map on one-dimensional data
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Cites Work
- Sequential Monte Carlo with adaptive weights for approximate Bayesian computation
- Limit laws of the empirical Wasserstein distance: Gaussian distributions
- On the rate of convergence in Wasserstein distance of the empirical measure
- On Hadamard differentiability in \(k\)-sample semiparametric models -- with applications to the assessment of structural relationships
- The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
- A nonparametric test for similarity of marginals -- with applications to the assessment of population bioequivalence
- Strong approximations of the quantile process
- The geometry of optimal transportation
- Tests of goodness of fit based on the \(L_2\)-Wasserstein distance
- Likelihood-free inference via classification
- Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
- Weak convergence and empirical processes. With applications to statistics
- Convergence of latent mixing measures in finite and infinite mixture models
- Robust multivariate nonparametric tests via projection averaging
- Inference on functionals under first order degeneracy
- A central limit theorem for Wasserstein type distances between two distinct univariate distributions
- Convergence and concentration of empirical measures under Wasserstein distance in unbounded functional spaces
- Hybrid Wasserstein distance and fast distribution clustering
- Empirical optimal transport on countable metric spaces: distributional limits and statistical applications
- Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
- Sliced and Radon Wasserstein barycenters of measures
- Central limit theorems for empirical transportation cost in general dimension
- On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
- Concentration inequalities and asymptotic results for ratio type empirical processes
- A User's Guide to Measure Theoretic Probability
- Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
- Empirical Processes with Applications to Statistics
- Trimmed Comparison of Distributions
- Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit
- Asymptotic Statistics
- Inference for Empirical Wasserstein Distances on Finite Spaces
- On parameter estimation with the Wasserstein distance
- A central limit theorem for Lp transportation cost on the real line with application to fairness assessment in machine learning
- Empirical Regularized Optimal Transport: Statistical Theory and Applications
- An Invitation to Statistics in Wasserstein Space
- Approximate Bayesian Computation with the Wasserstein Distance
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances
- A new $L^\infty$ estimate in optimal mass transport
- Advanced Lectures on Machine Learning
- Sampling from a Manifold
- The Speed of Mean Glivenko-Cantelli Convergence
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