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A non-linear nested partial least-squares algorithm

Lookup NU author(s): Emeritus Professor Julian Morris, Professor Elaine Martin

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Abstract

A nested partial least-squares (PLS) algorithm is proposed for the modelling of non-linear systems in the presence of multicollinearity. The nested algorithm comprises both an inner and outer PLS algorithm. The objective of the outer algorithm is to extract those latent variables that will form the basis of the final application whilst the role of the inner algorithm is to derive the weight vectors for the outer PLS algorithm. Wold's non-linear PLS algorithm and the error-based weight updating procedure are special cases. The nested PLS algorithm is illustrated by application to simulated data and an industrial NIR spectral data set. © 2003 Elsevier B.V. All rights reserved.

Publication metadata

Author(s): Li B, Hassel PA, Morris AJ, Martin EB

Publication type: Article

Publication status: Published

Journal: Computational Statistics and Data Analysis

Year: 2005

Volume: 48

Issue: 1

Pages: 87-101

Print publication date: 01/01/2005

ISSN (print): 0167-9473

ISSN (electronic): 1872-7352

Publisher: Elsevier

URL: http://dx.doi.org/10.1016/j.csda.2003.10.015

DOI: 10.1016/j.csda.2003.10.015

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