Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/6184
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dc.contributor.authorallAdelfio, Giadaen
dc.contributor.authorallChiodi, Marcelloen
dc.contributor.authorallD'Alessandro, Antonino; Istituto Nazionale di Geofisica e Vulcanologia, Sezione CNT, Roma, Italiaen
dc.contributor.authorallLuzio, Darioen
dc.date.accessioned2010-11-04T07:05:46Zen
dc.date.available2010-11-04T07:05:46Zen
dc.date.issued2010-05-02en
dc.identifier.urihttp://hdl.handle.net/2122/6184en
dc.description.abstractLooking 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 (García-Escudero and Gordaliza (2005), Tarpey (2007), Sangalli et al. (2008)).en
dc.language.isoEnglishen
dc.relation.ispartofEuropean Geoscience Union General Assemblyen
dc.subjectWaveforms clusteringen
dc.titleFunctional Principal Components direction to cluster earthquakeen
dc.typeConference paperen
dc.description.statusPublisheden
dc.subject.INGV04. Solid Earth::04.06. Seismology::04.06.99. General or miscellaneousen
dc.description.ConferenceLocationVienna (Austria)en
dc.relation.references[1] Chiodi, M. (1989). The clustering of longitudinal data when time series are short. Multivariate data analysis, pages 445–453. [2] García-Escudero, L. A. and Gordaliza, A. (2005). A proposal for robust curve clustering. Journal of classification, 22, 185–201. [3] Gillard, D., R. A. and Okubom, P. (1996). Highly concentrated seismicity caused by deformation of kilauea’s depp magma system. Nature, 384, 343–346. [4] Hastie, T. J. (1997). Generalized additive models. Chapman and Hall, London. [5] Menke, W. (1999). Using waveform similarity to constrain earthquake locations. Bull.Seismol. Soc. Am., 89, 1143–1146. [6] Mezcua, J. and Rueda, J. (1994). Earthquake relative location based on waveform similarity. Tectonophysics, 233, 253–263. [7] Phillips, W. S., H. L. F. J. (1997). Detailed joint structure in a geothermal reservoir from studies of induced microearthquake studies. Journal of Geophysical Research, 102, 745–763. [8] Ramsey, J. O. and Silverman, B. W. (2006). Functional Data Analysis. Springer, New York. [9] Sangalli, L. M., Secchi, P., Vantini, S., and Vitelli, V. (2008). K-means alignment for curve clustering. MOX (Modeling and Scientific Computing)-Report, 13. [10] Tarpey, T. (2007). Linear transformations and the k-means clustering alghoritm: applications to clustering curves. American statistician, 61(1), 34–40.en
dc.description.fulltextopenen
dc.contributor.authorAdelfio, Giadaen
dc.contributor.authorChiodi, Marcelloen
dc.contributor.authorD'Alessandro, Antoninoen
dc.contributor.authorLuzio, Darioen
dc.contributor.departmentIstituto Nazionale di Geofisica e Vulcanologia, Sezione CNT, Roma, Italiaen
item.openairetypeConference paper-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
crisitem.author.deptIstituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione ONT, Roma, Italia-
crisitem.author.deptIstituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione ONT, Roma, Italia-
crisitem.author.deptUniversità degli Studi di Palermo, CFTA, Palermo-
crisitem.author.orcid0000-0002-0074-3125-
crisitem.author.parentorgIstituto Nazionale di Geofisica e Vulcanologia-
crisitem.author.parentorgIstituto Nazionale di Geofisica e Vulcanologia-
crisitem.classification.parent04. Solid Earth-
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