Classification of multivariate functional data on different domains with Partial Least Squares approaches

Issam-Ali Moindjie; Sophie Dabo-Niang; Cristian Preda

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arXiv · 2212.09145

Classification of multivariate functional data on different domains with Partial Least Squares approaches

Issam-Ali Moindjie·Sophie Dabo-Niang·Cristian Preda

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Abstract

Classification (supervised-learning) of multivariate functional data is considered when the elements of the random functional vector of interest are defined on different domains. In this setting, PLS classification and tree PLS-based methods for multivariate functional data are presented. From a computational point of view, we show that the PLS components of the regression with multivariate functional data can be obtained using only the PLS methodology with univariate functional data. This offers an alternative way to present the PLS algorithm for multivariate functional data.

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Issam-Ali Moindjie, Sophie Dabo-Niang, Cristian Preda. 2022-12-18. Classification of multivariate functional data on different domains with Partial Least Squares approaches. https://arxiv.org/abs/2212.09145

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