Skip to main content

Optimization via Parameter Mapping with Genetic Programming

  • Conference paper
  • 3730 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3242))

Abstract

This paper describes a new approach for parameter optimization that uses a novel representation for the parameters to be optimized. By using genetic programming, the new method evolves functions that transform initial random values for the parameters into optimal ones. This new representation allows the incorporation of knowledge about the problem being solved. Moreover, the new approach addresses the scalability problem by using a representation that, in principle, is independent of the size of the problem being addressed. Promising results are reported, comparing the new method with differential evolution and particle swarm optimization on a test suite of benchmark problems.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Altenberg, L.: Genome growth and the evolution of the genotype-phenotype map. In: Banzhaf, W., Eeckman, F.H. (eds.) Evolution as a Computational Process, pp. 205–259. Springer, Berlin (1995)

    Google Scholar 

  2. Banzhaf, W.: Genotype-phenotype-mapping and neutral variation – A case study in genetic programming. In: Davidor, Y., Männer, R., Schwefel, H.-P. (eds.) PPSN 1994. LNCS, vol. 866, pp. 322–332. Springer, Heidelberg (1994)

    Google Scholar 

  3. Fogel, D., Ghozeil, A.: A note on representations and variation operators. IEEE Trans. on Evolutionary Computation 1(2), 159–161 (1997)

    Article  Google Scholar 

  4. Koza, J.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)

    MATH  Google Scholar 

  5. Langdon, W.B., Poli, R.: Foundations of Genetic Programming. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  6. Pujol, J.: Evolution of Artificial Neural Networks Using a Two-dimensional Representation. PhD thesis, School of Computer Science, University of Birmingham, UK (April 1999), Available from http://www.cdtn.br/~pujol/tese19.ps

  7. Pujol, J., Poli, R.: Evolution of neural networks using a two-dimensional aproach. In: Jain, L.C. (ed.) Evolution of Engineering and Information Systems and Their Applications. CSC Press international series on computational intelligence, CRC Press, Boca Raton (1999)

    Google Scholar 

  8. Pujol, J., Poli, R.: Evolution of neural networks using weight mapping. In: Banzhaf, W., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, Orlando, Florida, USA, July 13-17, vol. 2, pp. 1170–1177. Morgan Kaufmann, San Francisco (1999), Available from http://cswww.essex.ac.uk/staff/poli/papers/Pujol-GECCO1999.pdf

    Google Scholar 

  9. Shackleton, M., Shipman, R., Ebner, M.: An investigation of redundant genotypephenotype mappings and their role in evolutionary search. In: Proceedings of the 2000 Congress on Evolutionary Computation CEC 2000, La Jolla Marriott Hotel La Jolla, California, USA, July 6-9, pp. 493–500. IEEE Press, Los Alamitos (2000)

    Chapter  Google Scholar 

  10. Wolpert, D., Macready, W.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)

    Article  Google Scholar 

  11. Kennedy, J., Eberhart, R.: The Particle Swarm: Social Adaptation in Information-Processing Systems. In: Corne, D., et al. (eds.) New Ideas in Optimization, pp. 379–387. McGraw-Hill Publishing Company, New York (1999)

    Google Scholar 

  12. Price, K.: An Introduction to Differential Evolution. In: Corne, D., et al. (eds.) New Ideas in Optimization, pp. 379–387. McGraw-Hill Publishing Company, New York (1999)

    Google Scholar 

  13. Storn, R., Price, K.: Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces. TR-95-012,International Computer Science Institute, Berkeley, USA (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pujol, J.C.F., Poli, R. (2004). Optimization via Parameter Mapping with Genetic Programming. In: Yao, X., et al. Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. Lecture Notes in Computer Science, vol 3242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30217-9_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30217-9_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23092-2

  • Online ISBN: 978-3-540-30217-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics