Non-asymptotic analysis of tangent space perturbation

DOI10.1093/imaiai/iau004zbMath1309.62106arXiv1111.4601OpenAlexW2962812438WikidataQ60150358 ScholiaQ60150358MaRDI QIDQ5177867

Daniel N. Kaslovsky, François G. Meyer

Publication date: 6 March 2015

Published in: Information and Inference: A Journal of the IMA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4601

zbMATH Keywords

noiseprincipal component analysiscurvaturemanifold-valued datatangent spacelocal linear modelssubspace perturbation

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Random matrices (probabilistic aspects) (60B20)

Related Items (3)

Nonlinear multi-output regression on unknown input manifold ⋮ Spectral convergence of the connection Laplacian from random samples ⋮ Connecting dots: from local covariance to empirical intrinsic geometry and locally linear embedding

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