A family of regression methods derived from standard PLSR - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Chemometrics and Intelligent Laboratory Systems Année : 2013

A family of regression methods derived from standard PLSR

Résumé

The standard PLSR is presented from a geometric point of view consisting of two projections. In the first, the scores are obtained after an oblique projection of the spectra onto the loadings. In the second, the vector of response values is projected orthogonally onto the scores. A metric is introduced for the oblique projection and a new algorithm for the calculation of the loadings into the variables space is proposed. This work also develops a new parameter, a vector, whose different values lead to different regression models with their own abilities of prediction; one of them is the exact form of the standard PLSR. Two applications are described to illustrate the performance of the proposed method called VODKA regression, which is also a way to build least square regressions by introducing additional knowledge into the models.
Fichier principal
Vignette du fichier
mo2013-pub00037069.pdf (673.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00780076 , version 1 (23-01-2013)

Identifiants

Citer

J.C. Boulet, D. Bertrand, G. Mazerolles, Rodolphe Sabatier, J.M. Roger. A family of regression methods derived from standard PLSR. Chemometrics and Intelligent Laboratory Systems, 2013, 120, p. 116 - p. 125. ⟨10.1016/j.chemolab.2012.11.002⟩. ⟨hal-00780076⟩
226 Consultations
313 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More