Revisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computations

作者: Peter T. Hraber , James P. Crutchfield , Melanie Mitchell

DOI:

关键词: Cellular automatonConstructiveFunction (mathematics)AlgorithmLambdaGenetic algorithmEdge of chaosComputationComputer scienceInterpretation (logic)

摘要: Author(s): Mitchell, Melanie; Hraber, Peter; Crutchfield, James P | Abstract: We present results from an experiment similar to one performed by Packard (1988), in which a genetic algorithm is used evolve cellular automata (CA) perform particular computational task. examined the frequency of evolved CA rules as function Langton's lambda parameter (Langton, 1990), and interpreted his giving evidence for following two hypotheses: (1) able complex computations are most likely be found near ``critical'' values, have been claimed correlate with phase transition between ordered chaotic behavioral regimes CA; (2) When computation, evolution will tend select values close critical values. Our produced very different results, we suggest that interpretation original not correct. also review discuss issues related lambda, dynamical-behavior classes, computation CA. The main constructive our study identifying emergence competition strategies analyzing central role symmetries evolutionary system. In particular, demonstrate how symmetry breaking can impede toward higher capability.

参考文章(27)
D. E. Rumelhart, J. L. McClelland, PDP models and general issues in cognitive science Parallel distributed processing: explorations in the microstructure of cognition, vol. 1. pp. 110- 146 ,(1986)
Norman H. Packard, Wentian Li, The Structure of the Elementary Cellular Automata Rule Space. Complex Systems. ,vol. 4, ,(1990)
Stephen Wolfram, Theory and Applications of Cellular Automata Advanced Series on Complex Systems. ,(1986)
Norman Margolus, Tommaso Toffoli, Cellular Automata Machines: A New Environment for Modeling ,(1987)
James E. Hanson, James P. Crutchfield, The attractor—basin portrait of a cellular automaton Journal of Statistical Physics. ,vol. 66, pp. 1415- 1462 ,(1992) , 10.1007/BF01054429
Stephen Wolfram, Universality and complexity in cellular automata Physica D: Nonlinear Phenomena. ,vol. 10, pp. 1- 35 ,(1984) , 10.1016/0167-2789(84)90245-8
William K. Wootters, Chris G. Langton, Is there a sharp phase transition for deterministic cellular automata Physica D: Nonlinear Phenomena. ,vol. 45, pp. 95- 104 ,(1990) , 10.1016/0167-2789(90)90176-P