Publisert 2023

Les på engelsk

Publikasjonsdetaljer

Tidsskrift : Journal of Chemometrics , vol. 37 , p. 1–19–18 , 2023

Internasjonale standardnummer :
Trykt : 0886-9383
Elektronisk : 1099-128X

Publikasjonstype : Vitenskapelig artikkel

Bidragsytere : Skogholt, Joakim; Liland, Kristian Hovde; Næs, Tormod; Smilde, Age K.; Indahl, Ulf Geir

Sak : 10

Forskningsområder

Kvalitet og målemetoder

Har du spørsmål om noe vedrørende publikasjonen, kan du kontakte Nofimas bibliotekleder.

Kjetil Aune
Bibliotekleder
kjetil.aune@nofima.no

Sammendrag

In various situations requiring empirical model building from highly multivariate measurements, modelling based on partial least squares regression (PLSR) may often provide efficient low-dimensional model solutions. In unsupervised situations, the same may be true for principal component analysis (PCA). In both cases, however, it is also of interest to identify subsets of the measured variables useful for obtaining sparser but still comparable models without significant loss of information and performance. In the present paper, we propose a voting approach for sparse overall maximisation of variance analogous to PCA and a similar alternative for deriving sparse regression models influenced closely related to the PLSR method. Both cases yield pivoting strategies for a modified Gram–Schmidt process and its corresponding (partial) QRfactorisation of the underlying data matrix to manage the variable selection process. The proposed methods include score and loading plot possibilities that are acknowledged for providing efficient interpretations of the related PCA and PLS models in chemometric applications.

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