A symbolic data-driven technique based on evolutionary polynomial regression

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@Article{Giustolisi:2006:JH,

• author = "Orazio Giustolisi and Dragan A. Savic",
• title = "A symbolic data-driven technique based on evolutionary polynomial regression",
• journal = "Journal of Hydroinformatics",
• year = "2006",
• volume = "8",
• number = "3",
• pages = "207--222",
• month = jul,
• keywords = "genetic algorithms, genetic programming, EPR, Chezy resistance coefficient, Colebrook-White formula, data-driven modelling, evolutionary computing, regression",
• ISSN = "1464-7141",
• URL = "http://www.iwaponline.com/jh/008/0207/0080207.pdf",
• DOI = "10.2166/hydro.2006.020b",
• size = "16 pages",
• abstract = "We describe a new hybrid regression method that combines the best features of conventional numerical regression techniques with the genetic programming symbolic regression technique. The key idea is to employ an evolutionary computing methodology to search for a model of the system/process being modelled and to employ parameter estimation to obtain constants using least squares. The new technique, termed Evolutionary Polynomial Regression (EPR) overcomes shortcomings in the GP process, such as computational performance; number of evolutionary parameters to tune and complexity of the symbolic models. Similarly, it alleviates issues arising from numerical regression, including difficulties in using physical insight and over-fitting problems. This paper demonstrates that EPR is good, both in interpolating data and in scientific knowledge discovery. As an illustration, EPR is used to identify polynomial formulae with progressively increasing levels of noise, to interpolate the Colebrook-White formula for a pipe resistance coefficient and to discover a formula for a resistance coefficient from experimental data.",
• notes = "Faculty of Engineering, Department of Civil and Environmental Engineering, Technical University of Bari",

}

Genetic Programming entries for Orazio Giustolisi Dragan Savic

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