Skip to main content

A Survey of Problem Difficulty in Genetic Programming

  • Conference paper
AI*IA 2005: Advances in Artificial Intelligence (AI*IA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3673))

Included in the following conference series:

Abstract

This paper presents a study of fitness distance correlation and negative slope coefficient as measures of problem hardness for genetic programming. Advantages and drawbacks of both these measures are presented both from a theoretical and empirical point of view. Experiments have been performed on a set of well-known hand-tailored problems and “real-life-like” GP benchmarks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Altenberg, L.: The evolution of evolvability in genetic programming. In: Kinnear, K. (ed.) Advances in Genetic Programming, pp. 47–74. MIT Press, Cambridge (1994)

    Google Scholar 

  2. Clergue, M., Collard, P., Tomassini, M., Vanneschi, L.: Fitness distance correlation and problem difficulty for genetic programming. In: Langdon, W.B., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2002, New York City, USA, pp. 724–732. Morgan Kaufmann, San Francisco (2002), (Best Conference Paper Award Nomination)

    Google Scholar 

  3. Daida, J.M., Bertram, R., Stanhope, S., Khoo, J., Chaudhary, S., Chaudhary, O.: What makes a problem GP-hard? analysis of a tunably difficult problem in genetic programming. Genetic Programming and Evolvable Machines 2, 165–191 (2001)

    Article  MATH  Google Scholar 

  4. Ekárt, A., Németh, S.Z.: Maintaining the diversity of genetic programs. In: Foster, J.A., Lutton, E., Miller, J., Ryan, C., Tettamanzi, A.G.B. (eds.) EuroGP 2002. LNCS, vol. 2278, pp. 162–171. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  5. Jones, T.: Evolutionary Algorithms, Fitness Landscapes and Search. PhD thesis, University of New Mexico, Albuquerque (1995)

    Google Scholar 

  6. Koza, J.R.: Genetic Programming. The MIT Press, Cambridge (1992)

    MATH  Google Scholar 

  7. Langdon, W.B., Poli, R.: An analysis of the max problem in genetic programming. In: Koza, J.R., Deb, K., Dorigo, M., Fogel, D.B., Garzon, M., Iba, H., Riolo, R.L. (eds.) Genetic Programming 1997: Proceedings of the Second Annual Conference on Genetic Programming, pp. 222–230. Morgan Kaufmann, San Francisco (1997)

    Google Scholar 

  8. Madras, N.: Lectures on Monte Carlo Methods. American Mathematical Society, Providence (2002)

    MATH  Google Scholar 

  9. Punch, B., Zongker, D., Goodman, E.: The royal tree problem, a benchmark for single and multiple population genetic programming. In: Angeline, P., Kinnear, K. (eds.) Advances in Genetic Programming 2, pp. 299–316. MIT Press, Cambridge (1996)

    Google Scholar 

  10. Quick, R.J., Rayward-Smith, V.J., Smith, G.D.: Fitness distance correlation and ridge functions. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, pp. 77–86. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  11. Tomassini, M., Vanneschi, L., Collard, P., Clergue, M.: A study of fitness distance correlation as a difficulty measure in genetic programming. Evolutionary Computation (2004) (to appear)

    Google Scholar 

  12. Vanneschi, L.: Theory and Practice for Efficient Genetic Programming. Ph.D. thesis, Faculty of Science, University of Lausanne, Switzerland, Honored with the Excellence Award by the Science Faculty of the University of Lausanne (2004), Downlodable version at, http://www.disco.unimib.it/vanneschi

  13. Vanneschi, L., Tomassini, M., Clergue, M., Collard, P.: Difficulty of unimodal and multimodal landscapes in genetic programming. In: Cantú-Paz, E., et al. (eds.), GECCO 2003. LNCS; vol .2724, pp. 1788–1799. Springer, Heidelberg (2003), Best Conference Paper Award Nomination

    Google Scholar 

  14. Vanneschi, L., Tomassini, M., Collard, P., Clergue, M.: Fitness distance correlation in genetic programming: a constructive counterexample. In: Congress on Evolutionary Computation (CEC 2003), Canberra, Australia, pp. 289–296. IEEE Computer Society Press, Piscataway (2003)

    Chapter  Google Scholar 

  15. Vanneschi, L., Tomassini, M., Collard, P., Clergue, M.: Fitness distance correlation in structural mutation genetic programming. In: Ryan, C., Soule, T., Keijzer, M., Tsang, E.P.K., Poli, R., Costa, E. (eds.) EuroGP 2003. LNCS, vol. 2610, pp. 455–464. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Vérel, S., Collard, P., Clergue, M.: Where are bottleneck in nk-fitness landscapes? In: CEC 2003: IEEE International Congress on Evolutionary Computation, Canberra, Australia, pp. 273–280. IEEE Press, Piscataway (2003)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vanneschi, L., Tomassini, M., Collard, P., Clergue, M. (2005). A Survey of Problem Difficulty in Genetic Programming. In: Bandini, S., Manzoni, S. (eds) AI*IA 2005: Advances in Artificial Intelligence. AI*IA 2005. Lecture Notes in Computer Science(), vol 3673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558590_7

Download citation

  • DOI: https://doi.org/10.1007/11558590_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29041-4

  • Online ISBN: 978-3-540-31733-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics