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Volumn 112, Issue , 2013, Pages 164-171

Funclust: A curves clustering method using functional random variables density approximation

Author keywords

Functional data; Functional principal component analysis; Model based clustering; Random variable density

Indexed keywords

DENSITY APPROXIMATIONS; FUNCTIONAL DATAS; FUNCTIONAL PRINCIPAL COMPONENT ANALYSIS; KARHUNEN LOEVE EXPANSION; MODEL-BASED CLUSTERING; PARAMETRIC MIXTURE MODEL; PROBABILITY DENSITIES; VARIABLE DENSITY;

EID: 84877616133     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.11.042     Document Type: Article
Times cited : (100)

References (50)
  • 1
    • 84944178665 scopus 로고
    • Hierarchical grouping to optimize an objective function
    • Ward J.H. Hierarchical grouping to optimize an objective function. J. Am. Stat. Assoc. 1963, 58:236-244.
    • (1963) J. Am. Stat. Assoc. , vol.58 , pp. 236-244
    • Ward, J.H.1
  • 2
    • 0001138328 scopus 로고
    • Algorithm as 1326: a k-means clustering algorithm
    • Hartigan J., Wong M. Algorithm as 1326: a k-means clustering algorithm. Appl. Stat. 1978, 28:100-108.
    • (1978) Appl. Stat. , vol.28 , pp. 100-108
    • Hartigan, J.1    Wong, M.2
  • 3
    • 0027453616 scopus 로고
    • Model-based Gaussian and non-Gaussian clustering
    • Banfield J., Raftery A. Model-based Gaussian and non-Gaussian clustering. Biometrics 1993, 49:803-821.
    • (1993) Biometrics , vol.49 , pp. 803-821
    • Banfield, J.1    Raftery, A.2
  • 6
    • 0033556788 scopus 로고    scopus 로고
    • Mixtures of principal component analyzers
    • Tipping M.E., Bishop C. Mixtures of principal component analyzers. Neural Comput. 1999, 11:443-482.
    • (1999) Neural Comput. , vol.11 , pp. 443-482
    • Tipping, M.E.1    Bishop, C.2
  • 8
    • 78650653773 scopus 로고    scopus 로고
    • Gaussian mixture models for the classification of high-dimensional vibrational spectroscopy data
    • Jacques J., Bouveyron C., Girard S., Devos O., Duponchel L., Ruckebusch C. Gaussian mixture models for the classification of high-dimensional vibrational spectroscopy data. J. Chemometrics 2010, 24:719-727.
    • (2010) J. Chemometrics , vol.24 , pp. 719-727
    • Jacques, J.1    Bouveyron, C.2    Girard, S.3    Devos, O.4    Duponchel, L.5    Ruckebusch, C.6
  • 11
    • 34547837451 scopus 로고    scopus 로고
    • Functional clustering and identifying substructures of longitudinal data
    • Chiou J.-M., Li P.-L. Functional clustering and identifying substructures of longitudinal data. J. R. Stat. Soc. Ser. B 2007, 69:679-699.
    • (2007) J. R. Stat. Soc. Ser. B , vol.69 , pp. 679-699
    • Chiou, J.-M.1    Li, P.-L.2
  • 12
    • 84857655036 scopus 로고    scopus 로고
    • Clustering functional data using wavelets
    • Rapport de recherche RR-7515, INRIA
    • A. Antoniadis, X. Brossat, J. Cugliari, J.-M. Poggi, Clustering functional data using wavelets, Rapport de recherche RR-7515, INRIA, 2011.
    • (2011)
    • Antoniadis, A.1    Brossat, X.2    Cugliari, J.3    Poggi, J.-M.4
  • 13
    • 0043245795 scopus 로고    scopus 로고
    • Clustering for sparsely sampled functional data
    • James G., Sugar C. Clustering for sparsely sampled functional data. J. Am. Stat. Assoc. 2003, 98:397-408.
    • (2003) J. Am. Stat. Assoc. , vol.98 , pp. 397-408
    • James, G.1    Sugar, C.2
  • 14
    • 33644782021 scopus 로고    scopus 로고
    • Functional clustering by Bayesian wavelet methods
    • Ray S., Mallick B. Functional clustering by Bayesian wavelet methods. J. R. Stat. Soc. Ser. B 2006, 68:305-332.
    • (2006) J. R. Stat. Soc. Ser. B , vol.68 , pp. 305-332
    • Ray, S.1    Mallick, B.2
  • 16
    • 81355160163 scopus 로고    scopus 로고
    • Model-based clustering of time series in group-specific functional subspaces
    • Bouveyron C., Jacques J. Model-based clustering of time series in group-specific functional subspaces. Adv. Data Anal. Classification 2011, 5:281-300.
    • (2011) Adv. Data Anal. Classification , vol.5 , pp. 281-300
    • Bouveyron, C.1    Jacques, J.2
  • 17
    • 15844393601 scopus 로고    scopus 로고
    • Clustering functional data with the som algorithm
    • Bruges, Belgium
    • F. Rossi, B. Conan-Guez, A. El Golli, Clustering functional data with the som algorithm, in: Proceedings of ESANN 2004, Bruges, Belgium, pp. 305-312.
    • (2004) Proceedings of ESANN , pp. 305-312
    • Rossi, F.1    Conan-Guez, B.2    El Golli, A.3
  • 19
    • 34247171227 scopus 로고    scopus 로고
    • Crisp and fuzzy k-means clustering algorithms for multivariate functional data
    • Tokushige S., Yadohisa H., Inada K. Crisp and fuzzy k-means clustering algorithms for multivariate functional data. Comput. Stat. 2007, 22:1-16.
    • (2007) Comput. Stat. , vol.22 , pp. 1-16
    • Tokushige, S.1    Yadohisa, H.2    Inada, K.3
  • 20
    • 77649233844 scopus 로고    scopus 로고
    • Simultaneous clustering and segmentation for functional data
    • Bruges, Belgium
    • B. Hugueney, G. Hébrail, Y. Lechevallier, F. Rossi, Simultaneous clustering and segmentation for functional data, in: Proceedings of ESANN 2009, Bruges, Belgium, pp. 281-286.
    • (2009) Proceedings of ESANN , pp. 281-286
    • Hugueney, B.1    Hébrail, G.2    Lechevallier, Y.3    Rossi, F.4
  • 22
    • 77649330804 scopus 로고    scopus 로고
    • Defining probability density for a distribution of random functions
    • Delaigle A., Hall P. Defining probability density for a distribution of random functions. Ann. Stat. 2010, 38:1171-1193.
    • (2010) Ann. Stat. , vol.38 , pp. 1171-1193
    • Delaigle, A.1    Hall, P.2
  • 23
    • 84887080416 scopus 로고    scopus 로고
    • Optimization of parametrized divergences in fuzzy c-means
    • Bruges, Belgium
    • T. Geweniger, M. Kästner, T. Villmann, Optimization of parametrized divergences in fuzzy c-means, in: Proceedings of ESANN 2011, Bruges, Belgium, pp. 11-16.
    • (2011) Proceedings of ESANN , pp. 11-16
    • Geweniger, T.1    Kästner, M.2    Villmann, T.3
  • 24
    • 84877629798 scopus 로고    scopus 로고
    • Modified conn-index for the evaluation of fuzzy clusterings
    • Bruges, Belgium
    • T. Geweniger, M. Kästner, M. Lange, T. Villmann, Modified conn-index for the evaluation of fuzzy clusterings, in: Proceedings of ESANN 2012, Bruges, Belgium, pp. 465-470.
    • (2012) Proceedings of ESANN , pp. 465-470
    • Geweniger, T.1    Kästner, M.2    Lange, M.3    Villmann, T.4
  • 25
    • 0001626339 scopus 로고
    • A classification EM algorithm for clustering and two stochastic versions
    • Celeux G., Govaert G. A classification EM algorithm for clustering and two stochastic versions. Comput. Stat. Data Anal. 1992, 14:315-332.
    • (1992) Comput. Stat. Data Anal. , vol.14 , pp. 315-332
    • Celeux, G.1    Govaert, G.2
  • 26
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Dempster A.P., Laird N.M., Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm. J. R. Stat. Soc. Ser. B 1977, 39:1-38.
    • (1977) J. R. Stat. Soc. Ser. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 27
    • 10144247871 scopus 로고
    • Méthodes exploratoires d'analyse de données temporelles, Cahiers du Buro
    • G. Saporta, Méthodes exploratoires d'analyse de données temporelles, Cahiers du Buro, 1981, pp. 37-38.
    • (1981) , pp. 37-38
    • Saporta, G.1
  • 28
    • 77956764784 scopus 로고    scopus 로고
    • Distance-based clustering of sparsely observed stochastic processes, with applications to online auctions
    • Peng J., Müller H.-G. Distance-based clustering of sparsely observed stochastic processes, with applications to online auctions. Ann. Appl. Stat. 2008, 2:1056-1077.
    • (2008) Ann. Appl. Stat. , vol.2 , pp. 1056-1077
    • Peng, J.1    Müller, H.-G.2
  • 30
    • 84937549955 scopus 로고
    • The screen test for the number of factors
    • Cattell R. The screen test for the number of factors. Multivar. Behav. Res. 1966, 1:245-276.
    • (1966) Multivar. Behav. Res. , vol.1 , pp. 245-276
    • Cattell, R.1
  • 31
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference
    • Dauxois J., Pousse A., Romain Y. Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference. J. Multivar. Anal. 1982, 12:136-154.
    • (1982) J. Multivar. Anal. , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 32
    • 0002497684 scopus 로고
    • Méthodes statistiques et numériques de l'analyse harmonique
    • Deville J. Méthodes statistiques et numériques de l'analyse harmonique. Ann. l'INSEE 1974, 3-101.
    • (1974) Ann. l'INSEE , pp. 3-101
    • Deville, J.1
  • 33
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • Rice J., Silverman B. Estimating the mean and covariance structure nonparametrically when the data are curves. J. R. Stat. Soc. (B) 1991, 53:233-243.
    • (1991) J. R. Stat. Soc. (B) , vol.53 , pp. 233-243
    • Rice, J.1    Silverman, B.2
  • 34
    • 84877610459 scopus 로고
    • Approximation spline et optimalité en Analyse en Composantes Principales
    • Université Toulouse
    • P. Besse, Approximation spline et optimalité en Analyse en Composantes Principales, Ph.D. Thesis, Université Toulouse III, 1989.
    • (1989) Ph.D. Thesis , vol.3
    • Besse, P.1
  • 36
    • 2542635673 scopus 로고    scopus 로고
    • Principal component estimation of functional logistic regression: discussion of two different approaches
    • Escabias M., Aguilera A., Valderrama M. Principal component estimation of functional logistic regression: discussion of two different approaches. J. Nonparametric Stat. 2004, 16:365-384.
    • (2004) J. Nonparametric Stat. , vol.16 , pp. 365-384
    • Escabias, M.1    Aguilera, A.2    Valderrama, M.3
  • 37
    • 77952666333 scopus 로고    scopus 로고
    • Mixtures of factor analyzers with common factor loadings: applications to the clustering and visualization of high-dimensional data
    • Baek J., McLachlan G., Flack L. Mixtures of factor analyzers with common factor loadings: applications to the clustering and visualization of high-dimensional data. IEEE Trans. Pattern Anal. Mach. Intell. 2010, 32.
    • (2010) IEEE Trans. Pattern Anal. Mach. Intell. , vol.32
    • Baek, J.1    McLachlan, G.2    Flack, L.3
  • 40
    • 84878905116 scopus 로고    scopus 로고
    • On using class-labels in evaluation of clusterings
    • MultiClust: 1st International Workshop on Discovering, Summarizing and Using Multiple Clusterings Held in Conjunction with KDD, Washington, DC
    • I. Färber, S. Günnemann, H. Kriegel, P. Kröger, E. Müller, E. Schubert, T. Seidl, A. Zimek, On using class-labels in evaluation of clusterings, in: MultiClust: 1st International Workshop on Discovering, Summarizing and Using Multiple Clusterings Held in Conjunction with KDD 2010, Washington, DC.
    • (2010)
    • Färber, I.1    Günnemann, S.2    Kriegel, H.3    Kröger, P.4    Müller, E.5    Schubert, E.6    Seidl, T.7    Zimek, A.8
  • 42
    • 0141989607 scopus 로고    scopus 로고
    • Curves discrimination: a nonparametric approach
    • Ferraty F., Vieu P. Curves discrimination: a nonparametric approach. Comput. Stat. Data Anal. 2003, 44:161-173.
    • (2003) Comput. Stat. Data Anal. , vol.44 , pp. 161-173
    • Ferraty, F.1    Vieu, P.2
  • 43
    • 33750515938 scopus 로고    scopus 로고
    • Regression models for functional data by reproducing Kernel Hilbert spaces methods
    • Preda C. Regression models for functional data by reproducing Kernel Hilbert spaces methods. J. Stat. Plann. Inference 2007, 137:829-840.
    • (2007) J. Stat. Plann. Inference , vol.137 , pp. 829-840
    • Preda, C.1
  • 45
    • 34347222890 scopus 로고    scopus 로고
    • PLS classification of functional data
    • Preda C., Saporta G., Lévéder C. PLS classification of functional data. Comput. Stat. 2007, 22:223-235.
    • (2007) Comput. Stat. , vol.22 , pp. 223-235
    • Preda, C.1    Saporta, G.2    Lévéder, C.3
  • 46
    • 77049180957 scopus 로고
    • Physical Growth of California Boys and Girls from Birth to Eighteen Years
    • University of California Publications in Child Development
    • R. Tuddenham, M. Snyder, Physical Growth of California Boys and Girls from Birth to Eighteen Years. University of California Publications in Child Development, vol. 1, 1954, pp. 188-364.
    • (1954) , vol.1 , pp. 188-364
    • Tuddenham, R.1    Snyder, M.2
  • 47
    • 0242479804 scopus 로고    scopus 로고
    • Generalized Feature Extraction for Structural Pattern Recognition in Time-Series Data
    • Carnegie Mellon University, Pittsburgh, PA
    • R. Olszewski, Generalized Feature Extraction for Structural Pattern Recognition in Time-Series Data, Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, PA, 2001.
    • (2001) Ph.D. Thesis
    • Olszewski, R.1
  • 48
    • 3843062291 scopus 로고    scopus 로고
    • Initializing EM using the properties of its trajectories in Gaussian mixtures
    • Biernacki C. Initializing EM using the properties of its trajectories in Gaussian mixtures. Stat. Comput. 2004, 14:267-279.
    • (2004) Stat. Comput. , vol.14 , pp. 267-279
    • Biernacki, C.1
  • 49
    • 31844452737 scopus 로고    scopus 로고
    • 42 co-authors, OMEGA: Observatoire pour la Minéralogie, l'Eau, les Glaces et l'Activité
    • ESA SP-1240: Mars Express: the Scientific Payload
    • J.-P. Bibring, 42 co-authors, OMEGA: Observatoire pour la Minéralogie, l'Eau, les Glaces et l'Activité, ESA SP-1240: Mars Express: the Scientific Payload, p. 37-49.
    • Bibring, J.-P.1
  • 50
    • 70350057338 scopus 로고    scopus 로고
    • Retrieval of Mars surface physical properties frim OMEGA hyperspectral images using regularized sliced inverse regression
    • Bernard-Michel C., Douté S., Fauvel M., Gardes L., Girard S. Retrieval of Mars surface physical properties frim OMEGA hyperspectral images using regularized sliced inverse regression. J. Geophys. Res. 2009, 114:E06005.
    • (2009) J. Geophys. Res. , vol.114
    • Bernard-Michel, C.1    Douté, S.2    Fauvel, M.3    Gardes, L.4    Girard, S.5


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