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Box-Tidwell transformation based partial least squares regression

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

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Abstract

Partial least squares (PLS) is a powerful and frequently applied technique for process modelling and monitoring when the data is highly correlated. In this paper, a Box - Tidwell transformation based PLS (BTPLS) algorithm is proposed to address the modelling of non-linear systems. The BTPLS algorithm provides a family of flexible regression models for data fitting, where linear and quadratic PLS are special cases. BTPLS is shown to out-perform quadratic PLS, for non-linear problems, in terms of modelling ability and prediction accuracy, and neural network based PLS algorithms with respect to computational time and model parsimony in terms of the Bayesian information criterion. Linear PLS, quadratic PLS, neural network PLS and BTPLS are compared using a benchmark data set relating to the analysis of cosmetic data, a mathematical simulation and a highly non-linear pH problem. It is shown that the BTPLS algorithm provides a pragmatic compromize between model simplicity and accuracy, and constitutes a complementary modelling technique to both existing linear and non-linear PLS approaches. © 2001 Elsevier Science Ltd. All rights reserved.

Publication metadata

Author(s): Martin EB; Li B; Morris AJ

Publication type: Article

Publication status: Published

Journal: Computers and Chemical Engineering

Year: 2001

Volume: 25

Issue: 9-10

Pages: 1219-1233

ISSN (print): 0098-1354

ISSN (electronic): 1873-4375

Publisher: Pergamon

URL: http://dx.doi.org/10.1016/S0098-1354(01)00696-2

DOI: 10.1016/S0098-1354(01)00696-2

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