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

Methodology 2024-06-11 v3 Statistics Theory Statistics Theory

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.

Keywords

Cite

@article{arxiv.2212.09145,
  title  = {Classification of multivariate functional data on different domains with Partial Least Squares approaches},
  author = {Issam-Ali Moindjie and Sophie Dabo-Niang and Cristian Preda},
  journal= {arXiv preprint arXiv:2212.09145},
  year   = {2024}
}

Comments

enhance readability, new simulation setting, correction of minor mathematical notations errors, rewrite the conclusion

R2 v1 2026-06-28T07:41:07.869Z