In the literature, much effort has been put into modeling dependence among variables and their interactions through nonlinear transformations of predictive variables. In this paper,we propose a nonlinear generalization of Partial Least Squares (PLS) using multivariate additive splines.We discuss the advantages and drawbacks of the proposed model, building it via the generalized cross validation criterion (GCV) criterion, and showits performanceona real dataset and on simulated datasets in comparison to other methods based on splines.

Model building in multivariate additive partial least squares splines via the GCV criterion

LOMBARDO, Rosaria
;
2009

Abstract

In the literature, much effort has been put into modeling dependence among variables and their interactions through nonlinear transformations of predictive variables. In this paper,we propose a nonlinear generalization of Partial Least Squares (PLS) using multivariate additive splines.We discuss the advantages and drawbacks of the proposed model, building it via the generalized cross validation criterion (GCV) criterion, and showits performanceona real dataset and on simulated datasets in comparison to other methods based on splines.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/226828
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