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Another look at principal curves and surfaces

Autor
Delicado, P.
Tipus d'activitat
Article en revista
Revista
Journal of multivariate analysis
Data de publicació
2001-03
Volum
77
Número
1
Pàgina inicial
84
Pàgina final
116
DOI
https://doi.org/10.1006/jmva.2000.1917 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/106496 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0047259X00919171 Obrir en finestra nova
Resum
Principal curves have been defined as smooth curves passing through the “middle” of a multidimensional data set. They are nonlinear generalizations of the first principal component, a characterization of which is the basis of the definition of principal curves. We establish a new characterization of the first principal component and base our new definition of a principal curve on this property. We introduce the notion of principal oriented points and we prove the existence of principal curve...
Citació
Delicado, P. Another look at principal curves and surfaces. "Journal of multivariate analysis", Març 2001, vol. 77, núm. 1, p. 84-116.
Paraules clau
fixed points, generalized total variance, nonlinear multivariate analysis, principal components, smoothing techniques
Grup de recerca
ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials

Participants

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