Symbolic and numerical regression: experiments and applications

Authors:
J. W. Davidson;D. A. Savic;G. A. Walters
Affiliations:
Department of Engineering, School of Engineering and Computer Science, University of Exeter, Harrison Building, North Park Road, Exeter, Devon, EX4 4QF, UK;Department of Engineering, School of Engineering and Computer Science, University of Exeter, Harrison Building, North Park Road, Exeter, Devon, EX4 4QF, UK;Department of Engineering, School of Engineering and Computer Science, University of Exeter, Harrison Building, North Park Road, Exeter, Devon, EX4 4QF, UK
Venue:
Information Sciences—Informatics and Computer Science: An International Journal - Special issue on recent advances in soft computing
Year:
2003

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Abstract

This paper describes a new method for creating polynomial regression models. The new method is compared with stepwise regression and symbolic regression using three example problems. The first example is a polynomial equation. The two examples that follow are real-world problems, approximating the Colebrook-White equation and rainfall-runoff modelling. The three example problems illustrate the advantages of the new method.