PLS classification of functional data

Computational Statistics

Volumn 22, Issue 2, 2007, Pages 223-235

  Preda, Cristian ^a   Saporta, Gilbert ^b   Lévéder, Caroline ^c  

^a Faculté de Médecine   (France)

^b Unité de Recherches Mesures Physiques Métrologie   (France)

^c DANONE RESEARCH   (France)

Author keywords

Functional data; Linear discriminant analysis; PLS regression

Indexed keywords

EID: 34347222890     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-007-0041-4     Document Type: Article

References (24)

1. Aguilera AM, Ocaña F, Valderama MJ (1997) An approximated principal component prediction model for continuous-time stochastic process. Appl Stochast Models Data Anal 13:61-72
2. Barker M, Rayens W (2003) Partial least squares for discrimination. J Chemomet 17:166-173
3. Biau G, Bunea F, Wegkamp M (2005) Function classification in Hubert spaces. IEEE Trans Inform Theory 51:2162-2172
4. Cardot H, Sarda P (2005) Estimation in generalized linear models for functional data via penalized likelihood, J Multivariate Anal 92:24-41
5. Cardot H, Ferraly F. Sarda P (1999) Functional linear model. Statist Probah Lett 45:11-22
6. Escabias M, Aguilera AM. Valderrama MJ (2004) Principal component estimation of functional logistic regression: discussion of two different approches. J Nonparamet Stat 3-4:365-385
7. Escabias M, Aguilera AM. Valderrama MJ (2005) Modeling environmental data by functional principal component logistic regression. Environmetrics 16:95-107
8. Escoufier Y (1970) Echantillonage dans une population de variables aléatoires réelles. Publications de l'Institut de Statistique de l'Université de Paris 19(4): 1-47
9. Ferraty F, Vieu P (2003) Curves discrimination: a nonparametric approach. Comput Stat Data Anal 44:161-173
10. Ferraty F, Vieu P (2004) Nonparametric models for functional data with application in regression, time series prediction and curve discrimination. J Nonparamet Slat 16(1-2):111-125
11. Fisher RA (1936) The use of multiple measurement in taxonomic problems. Ann Eugen 7:179-188
12. Frank I, Friedman J (1993) A statistical view of some chemometries regression tools. Technometrics 35:109-148
13. James GM (2002) Generalized linear models with functional predictors. J R Stat Soc Ser B 64(3):411-432
14. James GM, Hastie TJ (2001) Functional discrimnant analysis for irregularly sampled curves. J R Stat Soc Ser B 6.3(3):533-550
15. de Jong S (1993) Pis fits closer than per. J Chemomet 7:551-557
16. Lévéder C, Abraham C, Cornillon PA, Matzner-Lober E, Molinari N (2004) Discrimination de courbes de pétrissage. Chimiométrie 2004. Paris, pp 37-43
17. Miller H-G, StadtMüler U (2005) Generalized functional linear models. Ann Stat 33(2):774-805
18. Preda C (2007) Regression models for functional data by reproducing kernel Fulbert spaces methods. J Stat Plan Infer 137:829-840
19. Preda C, Saporta G (2002) Régression PLS sur un processus stochastique. Revue de Statistique Appliquée L(2):27-45
20. Ramsay JO, Silverman BW ( 1997) Functional data analysis. Springer, New York
21. Ramsay JO, Silverman BW (2002) Applied functional data analysis:methods and case studies. Springer, Heidelberg
22. Ratcliffe SJ, Leader LR, Heller GZ (2002) Functional data analysis with application to periodically stimulated foetal heart rate data, ii : functional logistic regression. Stat Med 21:1115-1127
23. Saporta G (1981) Méthodes exploratoires d'analyse de données temporelles. Cahiers du B.U.R.O, Université Pierre et Marie Curie, Paris
24. Tenenhaus M (2002) La régression PLS. Théorie et pratique. Editions Technip