Evolving One Dimensional Cellular Automata to Perform Non-trivial Collective Behavior Task: One Case Study

  • Authors:
  • Francisco Jiménez-Morales;Melanie Mitchell;James P. Crutchfield

  • Affiliations:
  • -;-;-

  • Venue:
  • ICCS '02 Proceedings of the International Conference on Computational Science-Part I
  • Year:
  • 2002

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Abstract

Here we present preliminary results in which a genetic algorithm (GA) is used to evolve one-dimensional binary-state cellular automata (CA) to perform a non-trivial task requiring collective behavior. Using a fitness function that is an average area in the iterative map,the GA discovers rules that produce a period-3 oscillation in the concentration of 1s in the lattice. We study one run in which the final state reached by the best evolved rule consists of a regular pattern plus some defects. The structural organization of the CA dynamics is uncovered using the tools of computational mechanics.