Skip to main content

Evolving Two-Dimensional Cellular Automata to Perform Density Classification: A Report on Work in Progress

  • Conference paper
Cellular Automata: Research Towards Industry

Abstract

We present results from experiments in which a genetic algorithm (GA) is used to evolve two dimensional cellular automata (CA) to perform a particular computational task (“density classification”) that requires globally-coordination information processing. The results are similar to that of earlier work on evolving one-dimensional CAs. The behavior of the evolved two-dimensional CAs is analyzed, and their performance is compared with that of several hand-designed two-dimensional CAs.

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. J. P. Crutchfield and J. E. Hanson. Turbulent pattern bases for cellular automata. Physica D, 69: 279–301, 1993.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. P. Crutchfield and M. Mitchell. The evolution of emergent computation. Proceedings of the National Academy of Science U.S.A., 92: 10742–10746, 1995.

    Article  MATH  Google Scholar 

  3. R. Das, M. Mitchell, and J. P. Crutchfield. A genetic algorithm discovers particle-based computation in cellular automata. In Y. Davidor, H.-P. Schwefel, and R. Männer, editors, Parallel Problem Solving from NaturePPSN III, volume 866, pages 344–353, Berlin, 1994. Springer-Verlag (Lecture Notes in Computer Science).

    Google Scholar 

  4. P. Gacs, G. L. Kurdyumov, and L. A. Levin. One-dimensional uniform arrays that wash out finite islands. Probl. Peredachi. Inform., 14: 92–98, 1978.

    Google Scholar 

  5. J. E. Hanson and J. P. Crutchfield. The attractor-basin portrait of a cellular automaton. Journal of Statistical Physics, 66 (5/6): 1415–1462, 1992.

    Article  MathSciNet  MATH  Google Scholar 

  6. C.G. Langton. Computation at the edge of chaos: Phase transitions and emergent computation. Physica D, 42: 12–37, 1990.

    Article  MathSciNet  Google Scholar 

  7. W. Li. Phenomenology of non-local cellular automata. J. Stat. Phys., 68 (5/6): 829–882, 1992.

    Article  MATH  Google Scholar 

  8. M. Mitchell, J. P. Crutchfield, and P. T. Hraber. Evolving cellular automata to perform computations: Mechanisms and impediments. Physica D, 75: 361–391, 1994.

    Article  MATH  Google Scholar 

  9. N. H. Packard. Adaptation toward the edge of chaos. In J. A. S. Kelso, A. J. Mandell, and M. F. Shlesinger, editors, Dynamic Patterns in Complex Systems, pages 293–301, Singapore, 1988. World Scientific.

    Google Scholar 

  10. G. Vichniac. Cellular automata models of disorder and organization. In Bienenstock et al., editor, Disordered Systems and Bioogical Organization, pages 1–20, Berlin, 1986. Springer-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag London Limited

About this paper

Cite this paper

Morales, F.J., Crutchfield, J.P., Mitchell, M. (1998). Evolving Two-Dimensional Cellular Automata to Perform Density Classification: A Report on Work in Progress. In: Bandini, S., Serra, R., Liverani, F.S. (eds) Cellular Automata: Research Towards Industry. Springer, London. https://doi.org/10.1007/978-1-4471-1281-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-1281-5_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-048-4

  • Online ISBN: 978-1-4471-1281-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics