Abstract
In order to find similarity between multidimensional curves, we consider the application of a procedure that provides a simultaneous assignation to clusters and alignment of such functions. In particular we look for clusters of multivariate seismic waveforms based on EM-type procedure and functional data analysis tools.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adelfio, G., Chiodi, M., De Luca, L., Luzio, D., & Vitale, M. (2006). Southern Tyrrhenian seismicity in space-time-magnitude domain. Annals of Geophysics, 49, 245–1257.
Adelfio, G., Chiodi, M., D’Alessandro, A., & Luzio, D. (2011). FPCA algorithm for waveform clustering. Journal of Communication and Computer, 8(6), 494–502. ISSN 1548–7709.
Carmona, E., Stich, D., Ibañez, M., & Saccorotti, G. (2009). Multiplet focal mechanisms from polarities and relative locations: the Izanjar swarm in Southern Spain. Bulletin of the Seismological Society of America, 99, 3421–3429.
Chiodi, M. (1989). The clustering of longitudinal data when time series are short. The analysis of multiway data matrices. Coppi R., & Bolasco, S. eds. Amsterdam: North-Holland, 445–453.
Giunta, G., Luzio, D., Tondi, E., De Luca, L., Giorgianni, A., D’Anna, G., Renda, P., Cello, G., Nigro, F., & Vitale, M. (2004). The Palermo (Siciliy) seismic cluster of Septermber 2002, in the seismotectonic framework of the Tyrrhenian Sea-Sicily border area. Annals of Geophisics, 47(6), 1755–1770.
Menke, W. (1999). Using waveform similarity to constrain earthquake locations. Bulletin of the Seismological Society of America, 89, 1143–1146.
James, G. M. (2007). Curve alignment by moments. The Annals of Applied Statistics, 1, 480–501.
Kneip, A., & Gasser, T. (1992). Statistical tools to analyze data representing a sample of curves. Annals of Statistics, 20, 1266–1305.
Phillips, W. S., House, L. S., & Feheler, J. (1997). Detailed joint structure in a geothermal reservoir from studies of induced microearthquake studies. Journal of Geophysical Research, 102, 745–763.
Ramsey, J. O., & Li, X. (1998). Curve registration. Journal of the Royal Statistical Society, Series B, 60, 351–363.
Ramsey, J. O., & Silverman, B. W. (2006). Functional data analysis. New York: Springer.
Sangalli, L. M., Secchi, P., Vantini, S., & Veneziani, A. (2009). A case study in explorative functional data analysis: geometrical features of the internal carotid artery. Journal of the American Statistical Association, 104(485), 37–48.
Sangalli, L. M., Secchi, P., Vantini, S., & Vitelli, V. (2010). Functional clustering and alignment methods with applications. Communications in Applied and Industrial Mathematics, 1(1), 205–224.
Silverman, B. W. (1995). Incorporating parametric effects into functional principal components analysis. Journal of the Royal Statistical Society, Series B, 57, 673–689.
Wang, K., & Grasser, T. (1997). Alignment of curves by dinamic time warping. The Annals of Statistics, 25, 1251–1276.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Chiodi, M., Adelfio, G., D’Alessandro, A., Luzio, D. (2013). Clustering and Registration of Multidimensional Functional Data. In: Giudici, P., Ingrassia, S., Vichi, M. (eds) Statistical Models for Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00032-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-00032-9_11
Published:
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00031-2
Online ISBN: 978-3-319-00032-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)