Geodesic PCA in the Wasserstein space by convex PCA

DOI10.1214/15-AIHP706zbMath1362.62065arXiv1307.7721MaRDI QIDQ520766

Alfredo López, Raúl Gouet, Thierry Klein, Jérémie Bigot

Publication date: 6 April 2017

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

Full work available at URL: https://arxiv.org/abs/1307.7721

zbMATH Keywords

functional data analysisgeodesic spaceWasserstein spaceFréchet meanpopulation pyramidsgeodesic and convex principal component analysisgeodesic principal component analysis (GPCA)inference for family of densities

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Applications of statistics to social sciences (62P25) Geodesics in global differential geometry (53C22)

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