skip to main content
10.1145/1388969.1388978acmconferencesArticle/Chapter ViewAbstractPublication PagesgeccoConference Proceedingsconference-collections
demonstration

Using holey fitness landscapes to counteract premature convergence in evolutionary algorithms

Published:12 July 2008Publication History

ABSTRACT

Premature convergence is a persisting problem in evolutionary optimisation, in particular - genetic algorithms. While a number of methods exist to approach this issue, they usually require problem specific calibration or only partially resolve the issue, at best by delaying the premature convergence of an evolving population. Analytical models in biology show that resiliently diverse populations evolve on high-dimensional fitness landscapes with "holey" rather than "rugged" topographies, but the implications for artificial evolutionary systems remain largely unexplored. Here I show how holey fitness landscapes (HFLs) can be incorporated in an evolutionary algorithm and use this approach to investigate the ability of HFLs to maintain genetic diversity in an evolving population. The results indicate that an underlying HFL can counteract premature genetic convergence and sustain diversity. They also suggest that HFL may provide a flexible mechanism for dynamic creation and maintenance of subpopulations that concentrate their evolutionary search in different regions of the solution space. Finally, I discuss on-going work on using the HFL model in optimisation problems.

References

  1. S. W. Mahfoud (1995). Niching Methods for Genetic Algorithms. PhD thesis. Urbana Iniversity of Illinois. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. K. A. De Jong (1975). Analysis of the behaviour of a class of genetic adaptive systems. PhD thesis University of Michigan. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. D. E. Goldberg and J. Richardson (1987). Genetic algorithms with sharing for multimodal function optimization, 2nd Int. Conf. on GAs and their application, pp. 41--49 Lawrence Erlbaum Associates Inc., Mahwah, NJ, USA. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. D. Whitley, S. Rana and R. B. Heckendorn (1999). The Island Model Genetic Algorithm: On Separability, Population Size and Convergence. J. of Computing and IT. 7 (1): pp. 33--47.Google ScholarGoogle Scholar
  5. J. Liu, Z. Cai and J. Liu (2000). Premature convergence in genetic algorithm: Analysis and prevention based on chaos operator, Procs 3rd W. Congr. Intell. Ctrl and Automation.Google ScholarGoogle Scholar
  6. N. Kashtan, E. Noor and U. Alon (2007). Varying environments can speed up evolution. PNAS. 104 (34).Google ScholarGoogle Scholar
  7. G. Paperin, S. Sadedin, D. G. Green and A. Dorin (2008). Holey Fitness Landscapes and the Maintenance of Evolutionary Diversity Submitted to 11th International Conference on Simulation and Synthesis of Living Systems (ALife XI).Google ScholarGoogle Scholar
  8. S. Gavrilets (2004). Fitness Landscapes and the Origin of Species. Princeton University Press, Princeton / Oxford.Google ScholarGoogle Scholar
  9. S. Gavrilets and J. Gravner (1997). Percolation on the Fitness Hypercube and the Evolution of Reproductive Isolation. J. of Th. Bio. 184 (1): pp. 51--64.Google ScholarGoogle ScholarCross RefCross Ref
  10. G. Paperin, D. G. Green and A. Dorin (2007). Fitness Landscapes in Individual-Based Simulation Models of Adaptive Radiation. In T. D. Pham and X. Zhou (eds.), 2007 Int. Symposium on Computational Models for Life Science .Google ScholarGoogle Scholar
  11. G. Paperin, D. G. Green, S. Sadedin and T. G. Leishman (2007). A Dual Phase Evolution model of adaptive radiation in landscapes. In M. Randall, H. A. Abbass and J. Wiles (eds.), The 3rd Australian Conference on Artificial Life (ACAL'07), Springer. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. S. Gavrilets (2003). Models of Speciation: What have we learned in 40 years? Evolution. 57 (10): pp. 2197--2215.Google ScholarGoogle ScholarCross RefCross Ref
  13. M. E. J. Newman and R. M. Ziff (2000). Efficient Monte Carlo Algorithm and High-Precision Results for Percolation. Physical Review Letters. 85 (19): pp. 4104--4107.Google ScholarGoogle ScholarCross RefCross Ref
  14. G. R. Grimmett (1999). Percolation. Springer.Google ScholarGoogle Scholar
  15. S. Gavrilets and A. Vose (2005). Dynamic patterns of adaptive radiation. PNAS. 102 (50): pp. 18040--18045.Google ScholarGoogle ScholarCross RefCross Ref
  16. T. Ohta and M. Kimura (1973). A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a population. Gen. Res. 22 (2): pp. 201--204.Google ScholarGoogle ScholarCross RefCross Ref
  17. S. Van Dongen (2000). Graph Clustering by Flow Simulation. PhD thesis University of Utrecht. Utrecht.Google ScholarGoogle Scholar
  18. R. R. Hudson, M. Slatkin and W. P. Maddison (1992). Estimation of Levels of Gene Flow From DNA Sequence Data. Genetics. 132 (2): pp. 583--589.Google ScholarGoogle Scholar
  19. LiveGraph - a framework for real-time data visualisation, analysis and logging. Retrieved on 01.03.2008 from: http://www.live-graph.org.Google ScholarGoogle Scholar

Index Terms

  1. Using holey fitness landscapes to counteract premature convergence in evolutionary algorithms

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Conferences
        GECCO '08: Proceedings of the 10th annual conference companion on Genetic and evolutionary computation
        July 2008
        1182 pages
        ISBN:9781605581316
        DOI:10.1145/1388969
        • Conference Chair:
        • Conor Ryan,
        • Editor:
        • Maarten Keijzer

        Copyright © 2008 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 12 July 2008

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • demonstration

        Acceptance Rates

        Overall Acceptance Rate1,669of4,410submissions,38%

        Upcoming Conference

        GECCO '24
        Genetic and Evolutionary Computation Conference
        July 14 - 18, 2024
        Melbourne , VIC , Australia
      • Article Metrics

        • Downloads (Last 12 months)2
        • Downloads (Last 6 weeks)0

        Other Metrics

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader