A \(k\)-points-based distance for robust geometric inference

DOI10.3150/20-BEJ1214zbMath1469.62432OpenAlexW3009913040MaRDI QIDQ2203630

Clément Levrard, Claire Brécheteau

Publication date: 7 October 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1598493638

zbMATH Keywords

quantizationminimax ratesdistance to measuretopological inference\(k\) power distance to measurerobust distance estimationVoronoi's measure

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Minimax procedures in statistical decision theory (62C20) Topological data analysis (62R40)

Related Items (3)

Reweighting samples under covariate shift using a Wasserstein distance criterion ⋮ Topics in robust statistical learning ⋮ Statistical analysis of Mapper for stochastic and multivariate filters

Uses Software

• TDA
• TCLUST

Cites Work

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