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Multiobjective GP for Human-Understandable Models: A Practical Application

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Multiobjective Problem Solving from Nature

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The work presented in this chapter is concerned with the identification and modelling of nonlinear dynamical systems using multiobjective evolutionary algorithms (MOEAs). This problem involves the processes of structure selection, parameter estimation, model performance and model validation and defines a complex solution space. Evolutionary algorithms (EAs), in particular genetic programming (GP), are found to provide a way of evolving models to solve this identification and modelling problem, and their use is extended to encompass multiobjective functions. Multiobjective genetic programming (MOGP) is then applied to multiple conflicting objectives in order to yield a set of simple and valid human-understandable models which can reproduce the behaviour of a given unknown system.

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Author information

Authors and Affiliations

  1. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, D.F. 04510, México

    Katya Rodríguez-Vázquez

  2. Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

    Peter J. Fleming

Authors
  1. Katya Rodríguez-Vázquez
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  2. Peter J. Fleming
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Editors and Affiliations

  1. Manchester Interdisciplinary Biocentre, University of Manchester, 131 Princess Street, Manchester, M1 7DN, UK

    Joshua Knowles

  2. Room G39 Earl Mountbatten Building, Heriot-Watt University, Edinburgh EH14 4AS, UK

    David Corne

  3. Dept. of Business Technology, Helsinki School of Economics, P.O. Box 1210, FIN-00101 Helsinki, Finland

    Kalyanmoy Deb (Deva Raj Chair Professor) (Deva Raj Chair Professor)

  4. Dept. of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur,Pin 208016, India

    Kalyanmoy Deb (Deva Raj Chair Professor) (Deva Raj Chair Professor)

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Rodríguez-Vázquez, K., Fleming, P.J. (2008). Multiobjective GP for Human-Understandable Models: A Practical Application. In: Knowles, J., Corne, D., Deb, K. (eds) Multiobjective Problem Solving from Nature. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72964-8_10

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  • DOI: https://doi.org/10.1007/978-3-540-72964-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72963-1

  • Online ISBN: 978-3-540-72964-8

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