Looking for curves similarity could be a complex issue characterized by subjective choices related to continuous transformations of observed discrete data (Chiodi, 1989). In this paper we combine the aim of finding clusters from a set of individual curves to the functional nature of data, applying a variant of a k-means algorithm based on the principal component rotation of data. We apply a classical clustering method to rotated data, according to the direction of maximum variance. A k-means clustering algorithm based on PCA rotation of data is proposed, as an alternative to methods that require previous interpolation of data based on splines or linear fitting (Garc´ıa- Escudero and Gordaliza (2005), Tarpey (2007), Sangalli et al. (2008))

Adelfio, G., Chiodi, M., D'Alessandro, A., Luzio, D. (2010). Functional Principal components direction to cluster earthquake waveforms. In Geophysical Research Abstracts.

Functional Principal components direction to cluster earthquake waveforms

ADELFIO, Giada;CHIODI, Marcello;LUZIO, Dario
2010-01-01

Abstract

Looking for curves similarity could be a complex issue characterized by subjective choices related to continuous transformations of observed discrete data (Chiodi, 1989). In this paper we combine the aim of finding clusters from a set of individual curves to the functional nature of data, applying a variant of a k-means algorithm based on the principal component rotation of data. We apply a classical clustering method to rotated data, according to the direction of maximum variance. A k-means clustering algorithm based on PCA rotation of data is proposed, as an alternative to methods that require previous interpolation of data based on splines or linear fitting (Garc´ıa- Escudero and Gordaliza (2005), Tarpey (2007), Sangalli et al. (2008))
2010
EGU General Assembly
Vienna
2010
7
2010
3
Online
http://meetingorganizer.copernicus.org/EGU2010/EGU2010-10344-1.pdf
Adelfio, G., Chiodi, M., D'Alessandro, A., Luzio, D. (2010). Functional Principal components direction to cluster earthquake waveforms. In Geophysical Research Abstracts.
Proceedings (atti dei congressi)
Adelfio, G; Chiodi, M; D'Alessandro, A; Luzio, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/52911
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