Classification of multivariate functional ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Classification of multivariate functional data on different domains with Partial Least Squares approaches
Author(s) :
Moindjié, Issam-Ali [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
MOdel for Data Analysis and Learning [MODAL]
Dabo-Niang, Sophie [Auteur]
MOdel for Data Analysis and Learning [MODAL]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Preda, Cristian [Auteur]
MOdel for Data Analysis and Learning [MODAL]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
MOdel for Data Analysis and Learning [MODAL]
Dabo-Niang, Sophie [Auteur]
MOdel for Data Analysis and Learning [MODAL]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Preda, Cristian [Auteur]
MOdel for Data Analysis and Learning [MODAL]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Statistics and Computing
Pages :
5
Publisher :
Springer Verlag (Germany)
Publication date :
2023-10-19
ISSN :
0960-3174
HAL domain(s) :
Mathématiques [math]/Statistiques [math.ST]
English abstract : [en]
Classification of multivariate functional data is explored in this paper, particularly for functional data defined on different domains. Using the partial least squares (PLS) regression, we propose two classification ...
Show more >Classification of multivariate functional data is explored in this paper, particularly for functional data defined on different domains. Using the partial least squares (PLS) regression, we propose two classification methods. The first one uses the equivalence between linear discriminant analysis and linear regression. The second is a decision tree based on the first technique. Moreover, we prove that multivariate PLS components can be estimated using univariate PLS components. This offers an alternative way to calculate PLS for multivariate functional data. Finite sample studies on simulated data and real data applications show that our algorithms are competitive with linear discriminant on principal components scores and black-boxes models.Show less >
Show more >Classification of multivariate functional data is explored in this paper, particularly for functional data defined on different domains. Using the partial least squares (PLS) regression, we propose two classification methods. The first one uses the equivalence between linear discriminant analysis and linear regression. The second is a decision tree based on the first technique. Moreover, we prove that multivariate PLS components can be estimated using univariate PLS components. This offers an alternative way to calculate PLS for multivariate functional data. Finite sample studies on simulated data and real data applications show that our algorithms are competitive with linear discriminant on principal components scores and black-boxes models.Show less >
Language :
Anglais
Popular science :
Non
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