Abstract
Analogies with molecular biology are frequently used to guide the development of artificial evolutionary search. A number of assumptions are made in using such reasoning, chief among these is that evolution in natural systems is an optimal, or at least best available, search mechanism, and that a decoupling of search space from behaviour encourages effective search. In this paper, we explore these assumptions as they relate to evolutionary algorithms, and discuss philosophical foundations from which an effective evolutionary search can be constructed. This framework is used to examine grammatical evolution (GE), a popular search method that draws heavily upon concepts from molecular biology. We identify several properties in GE that are in direct conflict with those that promote effective evolutionary search. The paper concludes with some recommendations for designing representations for effective evolutionary search.
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(Adaptation of Fig. 4.1 from [14])
References
M. Vose, G. Liepins, Schema disruption, in Proceedings of the Fourth International Conference on Genetic Algorithms, ed. by R. Belew, L. Booker (Morgan Kaufmann, University of California, San Diego, 1991), pp. 237–242
N. Radcliffe, Non-linear genetic representation, in Parallel Problem Solving from Nature 2, ed. by R. Manner, B. Manderick (Elsevier, Amsterdam, 1992), pp. 259–268
D. Fogel, Phenotypes, genotypes and operators in evolutionary computation, in IEEE International Conference on Evolutionary Computation (IEEE, Perth, 1995), pp. 193–198
S.J. Gould, R. Lewontin, The Spandrels of San Marco and the Panglossian Paradigm: A Critizue of the Adaptationist Programme. Proc. R. Soc. Lond. B 205, 581–598 (1979)
J. Dupré, The Latest on the Best: Essays on Optimality and Evolution (MIT Press, Cambridge, 1987)
R. Dawkins, The Extended Phenotype (Oxford University Press, Oxford, 1982)
R. Dawkins, The Extended Phenotype: The Long Reach of the Gene (Oxford University Press, Oxford, 1999)
K. Sterelny, Niche construction, developmental systems and the extended replicator, in Cycles of Contingency: Developmental Systems and Evolution, ed. by S. Oyama, R.D. Gray, P.E. Griffiths (MIT Press, Cambridge, 2001)
M. Kirschner, J. Gerhart, Evolvability. Proc. Natl. Acad. Sci. 95(15), 8420–8427 (1998)
F. Rothlauf, M. Oetzel, On the Locality of Grammatical Evolution. LNCS 3905, 320–330 (2006)
G.P. Wagner, L. Altenberg, Perspective: complex adaptations and the evolution of evolvability. Evolution 50(3), 967–976 (1996)
M.O. Neill, C. Ryan, Grammatical evolution. IEEE Trans. Evol. Comput. 5(4), 349–358 (2001)
A. Brabazon, M. O’Neill, S. McGarraghy, Natural Computing Algorithms (Springer, New York, 2015)
M. O’Neill, C. Ryan, Grammatical Evolution: Evolutionary Automatic Programming in an Arbitrary Language (Kluwer, Dordrecht, 2003)
P.A. Whigham, G. Dick, J. Maclaurin, C.A. Owen, Examining the “best of both worlds” of grammatical evolution, in Proceedings of the Genetic and Evolutionary Computation (GECCO) Conference (ACM, Madrid, 2015), pp. 1111–1118
J. Hugosson, E. Hemberg, A. Brabazon, M. O’Neill, Genotype representations in grammatical evolution. Appl. Soft Comput. 10(1), 36–43 (2010)
C. Ryan, R.M.A. Azad, Sensible initialisation in grammatical evolution, in GECCO 2003: Proceedings of the Bird of a Feather Workshops, Genetic and Evolutionary Computation Conference (AAAI, Chicago, 2003), pp. 142–145
J. Byrne, J. McDermott, M. O’Neill, A. Brabazon, An analysis of the behaviour of mutation in grammatical evolution, in EuroGP 2010, ed. by A.I. Esparcia-Alcazar, A. Ekart, S. Silva, S. Dignum, A.S. Uyar (Springer, Berlin, 2010), pp. 14–25
J. Byrne, M. O’Neill, A. Brabazon, Structural and nodal mutation in grammatical evolution, in GECCO ‘09: Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation (ACM, Montreal, 2009), pp. 1881–1882
F. Rothlauf, Representations for Genetic and Evolutionary Algorithms, 2nd edn. (Springer, New York, 2006)
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Whigham, P.A., Dick, G. & Maclaurin, J. On the mapping of genotype to phenotype in evolutionary algorithms. Genet Program Evolvable Mach 18, 353–361 (2017). https://doi.org/10.1007/s10710-017-9288-x
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DOI: https://doi.org/10.1007/s10710-017-9288-x
Keywords
- Genetic programming
- Biological analogy
- Grammatical evolution
- Representation