Abstract
This paper analyzes building block supply in the initial population for genetic programming. Facetwise models for the supply of a single schema as well as for the supply of all schemas in a partition are developed. An estimate for the population size, given the size (or size distribution) of trees, that ensures the presence of all raw building blocks with a given error is derived using these facetwise models. The facetwise models and the population sizing estimate are verified with empirical results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Altenberg, L. (1994b). Emergent phenomena in genetic programming. In Evolutionary Programming III — Proceedings of the Third Annual Conference, pp. 233–241, San Diego, CA. World Scientific.
Deb, K. and Goldberg, D. E. (1993). Analyzing deception in trap functions. In Foundations of Genetic Algorithms 2, D. Whitley (Ed. ), pp. 93–108. Morgan Kaufmann.
Goldberg, D. E. (1987). Simple genetic algorithms and the minimal, deceptive problem. In Genetic algorithms and simulated annealing, Davis, L. (Ed. ), pp. 74–88. Los Altos, CA: Morgan Kaufmann.
Goldberg, D. E. (1989b). Sizing populations for serial and parallel genetic algorithms. In Proceedings of the Third International Conference on Genetic Algorithms (ICGA), J. Schaffer (Ed. ), pp. 70–79. Morgan Kaufmann.
Goldberg, D. E. (2002). The design of innovation: Lessons from and for competent genetic algorithms. Boston MA: Kluwer Academic Publishers.
Goldberg, D. E. and O’Reilly, U. -M. (1998). Where does the good stuff go, and why? How contextual semantics influences program structure in simple genetic programming. In Proceedings of the First European Workshop on Genetic Programming (EuroGP ’98), W. Banzhaf et al. (Eds. ), pp. 16–36. Springer, Berlin.
Goldberg, D. E., Sastry, K. and Latoza, T. (2001). On the supply of building blocks. Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2001), pp. 336–342. Morgan Kaufmann.
Holland, J. (1975). Adaptation in natural and artificial systems. Ann Arbor, MI: University of Michigan Press.
Koza, John (1992). Genetic Programming: On the Programming of Computers by Natural Selection. MIT Press, Cambridge, MA, USA.
Langdon, W. B. and Poli, R. (2002). Foundations of Genetic Programming. Springer-Verlag.
Luke, S. (2000b). Two fast tree-creation algorithms for genetic programming. IEEE Transactions on Evolutionary Computation 4(3): 274.
O’Reilly, U. -M. and Goldberg, D. E. (1998). How fitness structure affects subsolution acquisition in genetic programming. In Genetic Programming 1998: Proceedings of the Third Annual Conference, W. Banzhaf et al. (Eds. ), pp. 269–277.
O’Reilly, U. -M. and Oppacher, F. (1995). The troubling aspects of a building block hypothesis for genetic programming. In Foundations of Genetic Algorithms 3, D. Whitley (Ed. ), pp. 73–88. Morgan Kaufmann.
Poli, R. (2000). Recursive conditional schema theorem, convergence and population sizing in genetic algorithms. In Foundations of Genetic Algorithms 6, W. Martin and W. Spears (Eds. ). Morgan Kaufmann.
Reeves, C. (1993). Using genetic algorithms with small populations. Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 92–99.
Rosca, J. P. (1997b). Analysis of complexity drift in genetic programming. In Genetic Programming 1997: Proceedings of the Second Annual Conference, pp. 286–294.
Stephens, C. and Waelbroeck, H. (1999). Schemata evolution and building blocks. Evolutionary Computation 7(2): 109–124.
Whigham, P. A. (1995). A schema theorem for context-free grammars. In Proceedings of the 1995 IEEE Conference on Evolutionary Computation 1, pp. 178–181.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Sastry, K., O’Reilly, UM., Goldberg, D.E., Hill, D. (2003). Building-Block Supply in Genetic Programming. In: Riolo, R., Worzel, B. (eds) Genetic Programming Theory and Practice. Genetic Programming Series, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8983-3_9
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8983-3_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4747-7
Online ISBN: 978-1-4419-8983-3
eBook Packages: Springer Book Archive