Minimax estimation of smooth densities in Wasserstein distance

Quentin Berthet, Jonathan Niles-Weed

Publication date: 24 June 2022

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01778

zbMATH Keywords

density estimation Wasserstein distance optimal transport high-dimensional statistics

Mathematics Subject Classification ID

Multivariate analysis (62H99) Parametric inference (62F99)

Related Items (5)

Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics ⋮ Estimation of Wasserstein distances in the spiked transport model ⋮ Sharp convergence rates for empirical optimal transport with smooth costs ⋮ Minimax rate of distribution estimation on unknown submanifolds under adversarial losses ⋮ Unnamed Item

Uses Software

bootstrap
Wasserstein GAN

Cites Work

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