Empirical optimal transport between different measures adapts to lower complexity

DOI10.1214/23-aihp1369MaRDI QIDQ6596217

Axel Munk, Shayan Hundrieser, Thomas Staudt

Publication date: 2 September 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

manifoldsconvergence ratecurse of dimensionalitymetric entropyWasserstein distancesemi-discretelower complexity adaptation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Robustness and adaptive procedures (parametric inference) (62F35) Order statistics; empirical distribution functions (62G30) Convergence of probability measures (60B10) Statistical aspects of big data and data science (62R07) Optimal transportation (49Q22)

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