Skip to main content

Exploring Genetic Programming Systems with MAP-Elites

  • Chapter
  • First Online:

Part of the book series: Genetic and Evolutionary Computation ((GEVO))

Abstract

MAP-Elites is an evolutionary computation technique that has proven valuable for exploring and illuminating the genotype-phenotype space of a computational problem. In MAP-Elites, a population is structured based on phenotypic traits of prospective solutions; each cell represents a distinct combination of traits and maintains only the most fit organism found with those traits. The resulting map of trait combinations allows the user to develop a better understanding of how each trait relates to fitness and how traits interact. While MAP-Elites has not been demonstrated to be competitive for identifying the optimal Pareto front, the insights it provides do allow users to better understand the underlying problem. In particular, MAP-Elites has provided insight into the underlying structure of problem representations, such as the value of connection cost or modularity to evolving neural networks. Here, we extend the use of MAP-Elites to examine genetic programming representations, using aspects of program architecture as traits to explore. We demonstrate that MAP-Elites can generate programs with a much wider range of architectures than other evolutionary algorithms do (even those that are highly successful at maintaining diversity), which is not surprising as this is the purpose of MAP-Elites. Ultimately, we propose that MAP-Elites is a useful tool for understanding why genetic programming representations succeed or fail and we suggest that it should be used to choose selection techniques and tune parameters.

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   119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   159.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

References

  1. Angeline, P.J., Pollack, J.B.: The evolutionary induction of subroutines. Proceedings of the Fourteenth Annual Conference of the Cognitive Science Society pp. 236–241 (1992)

    Google Scholar 

  2. Arnold, T.A., Emerson, J.W.: Nonparametric Goodness-of-Fit Tests for Discrete Null Distributions. The R Journal 3, 34–39 (2011)

    Google Scholar 

  3. Brameier, M., Banzhaf, W.: Linear Genetic Programming. Springer US, Boston, MA (2007)

    MATH  Google Scholar 

  4. Chikumbo, O., Goodman, E., Deb, K.: Approximating a multi-dimensional Pareto front for a land use management problem: A modified MOEA with an epigenetic silencing metaphor. In: 2012 IEEE Congress on Evolutionary Computation, pp. 1–9 (2012)

    Google Scholar 

  5. Cully, A., Clune, J., Tarapore, D., Mouret, J.B.: Robots that can adapt like animals. Nature 521, 503 (2015)

    Article  Google Scholar 

  6. Cully, A., Demiris, Y.: Quality and Diversity Optimization: A Unifying Modular Framework. IEEE Transactions on Evolutionary Computation 22, 245–259 (2018)

    Article  Google Scholar 

  7. Helmuth, T., Spector, L.: General Program Synthesis Benchmark Suite. In: Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation, GECCO ‘15, pp. 1039–1046. ACM, New York, NY, USA (2015)

    Google Scholar 

  8. Keijzer, M., Ryan, C., Murphy, G., Cattolico, M.: Genetic Programming, Lecture Notes in Computer Science, vol. 3447. Springer, Berlin, Heidelberg (2005)

    Google Scholar 

  9. Kirschner, M., Gerhart, J.: Evolvability. Proceedings of the National Academy of Sciences 95, 8420–8427 (1998)

    Article  Google Scholar 

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

    MATH  Google Scholar 

  11. Koza, J.R.: Genetic Programming II: Automatic Discovery of Reusable Programs. MIT Press, Cambridge, MA, USA (1994)

    MATH  Google Scholar 

  12. Lalejini, A., Dolson, E.: amlalejini/GPTP-2018-Exploring-Genetic- Programming-Systems-with-MAP-Elites: Initial Release (2018). URL https://doi.org/10.5281/zenodo.1345799

  13. Lalejini, A., Ofria, C.: What else is in an evolved name? Exploring evolvable specificity with SignalGP. PeerJ Preprints 6:e27122v1 pp. 1–21 (2018)

    Google Scholar 

  14. Misevic, D., Ofria, C., Lenski, R.E.: Sexual reproduction reshapes the genetic architecture of digital organisms. Proceedings of the Royal Society B: Biological Sciences 273, 457–464 (2006)

    Article  Google Scholar 

  15. Mouret, J.B., Clune, J.: Illuminating search spaces by mapping elites. arXiv:1504.04909 [cs, q-bio] (2015). ArXiv: 1504.04909

    Google Scholar 

  16. Ofria, C., Dolson, E., Lalejini, A., Fenton, J., Jorgensen, S., Miller, R., Moreno, M., Stredwick, J., Zaman, L., Schossau, J., leg2015, cgnitash, V, A.: amlalejini/Empirical: GPTP 2018 - Exploring Genetic Programming Systems with MAP-Elites (2018). URL https://doi.org/10.5281/zenodo.1346397.

  17. O’Neill, M., Vanneschi, L., Gustafson, S., Banzhaf, W.: Open issues in genetic programming. Genetic Programming and Evolvable Machines 11, 339–363 (2010)

    Article  Google Scholar 

  18. Pugh, J.K., Soros, L.B., Szerlip, P.A., Stanley, K.O.: Confronting the Challenge of Quality Diversity. In: Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation, GECCO ‘15, pp. 967–974. ACM, New York, NY, USA (2015)

    Google Scholar 

  19. R Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria (2017). URL https://www.R-project.org/

  20. Roberts, S.C., Howard, D., Koza, J.R.: Evolving modules in Genetic Programming by subtree encapsulation. Genetic Programming, Proceedings of EuroGP’2001 LNCS 2038, 160–175 (2001)

    Google Scholar 

  21. Spector, L.: Simultaneous Evolution of Programs and their Control Structures. Advances in Genetic Programming 2 pp. 137–154 (1996)

    Google Scholar 

  22. Spector, L.: Autoconstructive Evolution: Push, PushGP, and Pushpop. GECCO-2001, pp. 137–146 (2001)

    Google Scholar 

  23. Spector, L.: Assessment of problem modality by differential performance of lexicase selection in genetic programming: a preliminary report. In: Proceedings of the 14th annual conference companion on Genetic and evolutionary computation, pp. 401–408. ACM (2012)

    Google Scholar 

  24. Spector, L., Martin, B., Harrington, K., Helmuth, T.: Tag-based modules in genetic programming. GECCO ‘11: Proceedings of the 13th annual conference on Genetic and evolutionary computation pp. 1419–1426 (2011)

    Google Scholar 

  25. Spector, L., McPhee, N.F.: Expressive genetic programming: concepts and applications. In: Proceedings of the Genetic and Evolutionary Computation Conference Companion on - GECCO ‘18, pp. 977–997. ACM Press, Kyoto, Japan (2018)

    Google Scholar 

  26. Walker, J.A., Miller, J.F.: The automatic acquisition, evolution and reuse of modules in Cartesian genetic programming. IEEE Transactions on Evolutionary Computation 12, 397–417 (2008).

    Article  Google Scholar 

  27. Wickham, H.: ggplot2: elegant graphics for data analysis. Springer, New York (2009)

    Google Scholar 

Download references

Acknowledgements

We thank members of the MSU Digital Evolution Lab for helpful comments and suggestions on this manuscript. This research was supported by the National Science Foundation (NSF) through the BEACON Center (Cooperative Agreement DBI-0939454), Graduate Research Fellowships to ED and AL (Grant No. DGE-1424871), and NSF Grant No. DEB-1655715 to CO. Michigan State University provided computational resources through the Institute for Cyber-Enabled Research and the Digital Scholarship Lab. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the NSF or MSU.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Emily Dolson .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Dolson, E., Lalejini, A., Ofria, C. (2019). Exploring Genetic Programming Systems with MAP-Elites. In: Banzhaf, W., Spector, L., Sheneman, L. (eds) Genetic Programming Theory and Practice XVI. Genetic and Evolutionary Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-04735-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-04735-1_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04734-4

  • Online ISBN: 978-3-030-04735-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics