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Non-linear projection to latent structures revisited: The quadratic PLS algorithm

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


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Projection to latent structures (PLS) has been shown to be a robust multivariate linear regression technique for the analysis and modelling of noisy and highly correlated data. It has been successfully applied in the modelling, prediction and statistical control of the behaviour of a wide variety of processes. However, many chemical and physical systems display non-linear behaviour which cannot be reliably modelled by means of linear regression techniques. A number of different approaches have been proposed to provide a non-linear PLS algorithm by incorporating non-linear features within the linear PLS framework. In this paper the traditional linear PLS algorithm and the non-linear (quadratic) PLS approach of Wold are reviewed, prior to introducing a number of modifications into the non-linear quadratic algorithm to improve its performance when handling highly non-linear data. The existing and modified algorithms are applied and compared on three data sets; a highly non-linear mathematical function; an industrial pH simulation problem; and finally on data from an industrial fluidised-bed reactor.

Publication metadata

Author(s): Baffi G, Martin EB, Morris AJ

Publication type: Article

Publication status: Published

Journal: Computers and Chemical Engineering

Year: 1999

Volume: 23

Issue: 3

Pages: 395-411

Print publication date: 28/02/1999

ISSN (print): 0098-1354

ISSN (electronic): 1873-4375

Publisher: Pergamon


DOI: 10.1016/S0098-1354(98)00283-X


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