Principal curves of oriented points: theoretical and computational improvements

DOI10.1007/s001800300145zbMath1050.62064OpenAlexW1594985570MaRDI QIDQ1887223

Mario Huerta, Pedro F. Delicado

Publication date: 24 November 2004

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001800300145

zbMATH Keywords

smoothingclusteringminimum spanning treeobject oriented programmingprincipal curvesbandwidth choice population pyramidsmultidimensional data set

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Factor analysis and principal components; correspondence analysis (62H25) Numerical smoothing, curve fitting (65D10) Applications of mathematical programming (90C90)

Related Items (7)

Ridge-based method for finding curvilinear structures from noisy data ⋮ Principal curves of oriented points: theoretical and computational improvements ⋮ Dimensionality reduction when data are density functions ⋮ Another look at principal curves and surfaces ⋮ Toroidal PCA via density ridges ⋮ A bottom-up algorithm for finding principal curves with applications to image skeletonization ⋮ Application of local linear embedding to nonlinear exploratory latent structure analysis

Uses Software

• KernSmooth
• GTM

Cites Work

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• Principal curves of oriented points: theoretical and computational improvements
• Smoothing methods in statistics
• Generalization of the Gap Test for the Detection of Multivariate Outliers
• Probabilistic Principal Component Analysis
• Adaptive Principal Surfaces
• 10.1162/15324430152748227
• A k-segments algorithm for finding principal curves
• Principal curves with bounded turn
• Principal Curves
• Another look at principal curves and surfaces

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