Minimax estimation of smooth optimal transport maps
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Publication:2039809
DOI10.1214/20-AOS1997zbMath1468.62268arXiv1905.05828OpenAlexW3140884725MaRDI QIDQ2039809
Philippe Rigollet, Jan-Christian Hütter
Publication date: 5 July 2021
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05828
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Transportation, logistics and supply chain management (90B06)
Related Items (8)
Multivariate ranks and quantiles using optimal transport: consistency, rates and nonparametric testing ⋮ ON THE CONVERGENCE RATE OF POTENTIALS OF BRENIER MAPS ⋮ Estimation of Wasserstein distances in the spiked transport model ⋮ An entropic generalization of Caffarelli's contraction theorem via covariance inequalities ⋮ Sharp convergence rates for empirical optimal transport with smooth costs ⋮ An Improved Central Limit Theorem and Fast Convergence Rates for Entropic Transportation Costs ⋮ Uniform confidence band for optimal transport map on one-dimensional data ⋮ Limit theorems for entropic optimal transport maps and Sinkhorn divergence
Uses Software
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