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Outline

Developing Redundant Binary Representations for Genetic Search

2005 IEEE Congress on Evolutionary Computation

https://doi.org/10.1109/CEC.2005.1554890

Abstract

This paper considers the development of redundant representations for evolutionary computation. Two new families of redundant binary representations are proposed in the context of a simple mutationselection evolutionary model. The first is a family of linear encodings in which the connectivity of the search space may be designed directly via a decoding matrix. The second is a family of representations exhibiting various degrees of neutrality, and is constructed using mathematical tools from error-control coding theory. The study of these representations provides additional insight into the properties of redundant encodings, such as synonymity, locality, and connectivity, and into their interrelationships.

References (19)

  1. N. J. Radcliffe, "Genetic set recombination and its application to neural network topology optimisation," Neural Computing and Applications, vol. 1, no. 1, pp. 67-90, 1993.
  2. M. A. Huynen, P. F. Stadler, and W. Fontana, "Smoothness within ruggedness: The role of neu- trality in adaptation," Proceedings of the National Academy of Sciences of the USA, vol. 93, pp. 397-401, 1996.
  3. T. Smith, P. Husbands, and M. O'Shea, "Neutral networks and evolvability with complex genotype- phenotype mapping," in Proceedings of the European Conference on Artificial Life (ECAL 2001), pp. 272- 281, 2001.
  4. M. Ebner, M. Shackleton, and R. Shipman, "How neutral networks influence evolvability," Complexity, vol. 7, no. 2, pp. 19-33, 2001.
  5. F. Rothlauf and D. E. Goldberg, "Redundant repre- sentations in evolutionary computation," Evolutionary Computation, vol. 11, no. 4, pp. 381-415, 2003.
  6. J. D. Knowles and R. A. Watson, "On the utility of redundant encodings in mutation-based evolutionary search," in Proceedings of Parallel Problem Solving From Nature -PPSN VII, Seventh International Con- ference (J.-J. Merelo Guervós, P. Adamidis, H.-G. Beyer, J.-L. Fernández-Villacañas, and H.-P. Schwe- fel, eds.), vol. 2439 of Lecture Notes in Computer Sci- ence, pp. 88-98, Springer, 2002.
  7. M. Shackleton, R. Shipman, and M. Ebner, "An inves- tigation of redundant genotype-phenotype mappings and their role in evolutionary search," in Proceedings of the 2000 Congress on Evolutionary Computation, vol. 1, pp. 493-500, IEEE, 2000.
  8. R. Shipman, "Genetic redundancy: Desirable or prob- lematic for evolutionary adaptation?," in Proceedings of the 4th International Conference on Artificial Neu- ral Networks and Genetic Algorithms (ICANNGA) (A. Dobnikar, N. C. Steele, D. W. Pearson, and R. F. Albrecht, eds.), pp. 337-344, Springer, 1999.
  9. R. Shipman, M. Shackleton, M. Ebner, and R. Watson, "Neutral search spaces for artificial evolution: A les- son from life," in Artificial Life VII: Proceedings of the Seventh International Conference (M. A. Bedau, J. S. McCaskill, N. H. Packard, and S. Rasmussen, eds.), pp. 162-169, MIT Press, 2000.
  10. R. Shipman, "Issues in designing a neutral genotype- phenotype mapping," in Proceedings of the London Communications Symposium, 2002.
  11. C. Reidys, C. V. Forst, and P. Schuster, "Replication and mutation on neutral networks," Bulletin of Mathe- matical Biology, vol. 63, no. 1, pp. 57-94, 2001.
  12. I. Harvey, "Evolutionary robotics and SAGA: The case for hill crawling and tournament selection," in Artifi- cial Life III (C. G. Langton, ed.), pp. 299-326, Addi- son Wesley, 1994.
  13. M. Nowak and P. Schuster, "Error thresholds of repli- cation in finite populations mutation frequencies and the onset of Muller's ratchet," Journal of Theoretical Biology, vol. 137, no. 4, pp. 375-395, 1989.
  14. S. Lin and D. Costello, Error Control Coding: Funda- mentals and Applications. Prentice Hall, 1983.
  15. D. Fogel, "Principles of evolutionary processes," in Handbook of Evolutionary Computation (T. Bäck, D. B. Fogel, and Z. Michalewicz, eds.), sec. C2.1, IOP Publishing and Oxford University Press, 1997.
  16. G. E. Liepins and M. D. Vose, "Representational is- sues in genetic optimization," Journal of Experimental and Theoretical Artificial Intelligence, vol. 2, pp. 101- 115, Apr. 1990.
  17. M. Kimura, "Evolutionary rate at the molecular level," Nature, vol. 217, pp. 624-626, 1968.
  18. H. Lewis and C. Papadimitriou, Elements of the The- ory of Computation. Prentice-Hall, 2nd ed., 1998.
  19. J. de Leeuw, "Multidimensional scaling," Statistics Preprint 274, UCLA, 2000.