Symbolic and numerical regression: experiments and applications
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 C...
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| Vydáno v: | Information sciences Ročník 150; číslo 1; s. 95 - 117 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Inc
01.03.2003
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| ISSN: | 0020-0255, 1872-6291 |
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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. |
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| AbstractList | 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. |
| Author | Savic, D.A. Walters, G.A. Davidson, J.W. |
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| Keywords | Symbolic regression Rule-based programming Stepwise regression Genetic programming Least squares |
| Language | English |
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| References | H.O. Poyhonen, D.A. Savic, Symbolic Regression using Object-oriented Genetic Programming (in C++): Centre for Water Systems and Control Engineering, Report no. 96/04, University of Exeter, Exeter, UK, 1996 F. Jacq, D.A. Savic, Rainfall-runoff Modelling using Neural Networks Centre for Water Systems And Control Engineering, Report no. 97/02, School of Engineering, University of Exeter, Exeter, UK, 1997 N. Cousin, D.A. Savic, A Rainfall-runoff Model using Genetic Programming Centre for Water Systems And Control Engineering, Report no. 97/03, School of Engineering, University of Exeter, Exeter, UK, 1997 Eeles, Parks, Barr (BIB17) 1989 A. Watson, I. Parmee. Systems identification using genetic programming, in: Proceedings of ACEDC ’96 PEDC, University of Plymouth, UK, 1996 Draper, Smith (BIB9) 1998 Koza (BIB1) 1992 Francone (BIB10) 1998 Mallows (BIB14) 1995; 37 Babovic, Keijzer (BIB6) 2000; 2 Keijzer, Babovic (BIB7) 1999 Davidson, Savic, Walters (BIB8) 1999 Gilmore (BIB15) 1996; 45 Savic, Walters, Davidson (BIB16) 1999; 13 Smith (BIB5) 1999 Gorman, Toman (BIB12) 1966; 8 B. McKay, M.J. Willis, G.W. Barton, Using a tree structured genetic algorithm to perform symbolic regression, in: Genetic Algorithms in Engineering Systems: Innovations and Applications, IEE, Conference Publication no. 414, 1995, pp. 487–492 Langdon, Soule, Poli, Foster (BIB4) 1999 C.W.O. Eeles, Parameter Optimization of Conceptual Hydrological Models Ph.D. Thesis, Open University, Milton Keynes, UK, 1994 Mallows (BIB13) 1973; 15 |
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| SubjectTerms | Genetic programming Least squares Rule-based programming Stepwise regression Symbolic regression |
| Title | Symbolic and numerical regression: experiments and applications |
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