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Just What Are Building Blocks?

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Foundations of Genetic Algorithms (FOGA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4436))

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Abstract

Using an exact coarse-grained formulation of the dynamics of a GA we investigate in the context of a tunable family of “modular” fitness landscapes under what circumstances one would expect recombination to be “useful”. We show that this depends not only on the fitness landscape and the state of the population but also on the particular crossover mask under consideration. We conclude that rather than ask when recombination is useful or not one needs to ask - what crossover masks are useful. We show that the answer to this is when the natural “building blocks” of the landscape are compatible with the “building blocks” defined by the crossover mask.

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References

  1. Holland, J.H.: Adaptation in Natural and Artificial Systems. MIT Press, Cambridge, MA (1993)

    Google Scholar 

  2. Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley, Reading, MA (1989)

    MATH  Google Scholar 

  3. Vose, M.D.: The simple genetic algorithm: Foundations and theory. MIT Press, Cambridge, MA (1999)

    MATH  Google Scholar 

  4. Mitchell, M., Forrest, S., Holland, J.H.: The royal road for genetic algorithms: Fitness landscapes and ga performance. In: Varela, F.J., Bourgine, P. (eds.) Proceedings of the First European Conference on Artificial Life, pp. 243–254. MIT Press, Cambridge, MA (1992)

    Google Scholar 

  5. Forrest, S., Mitchell, M.: Relative building-block fitness and the building-block hypothesis. In: Whitley, L.D. (ed.) Foundations of genetic algorithms, vol. 2, pp. 109–126. Morgan Kaufmann, San Mateo (1993)

    Google Scholar 

  6. Jansen, T., Wegener, I.: Real royal road functionswhere crossover provably is essential. Discrete Applied Mathematics 149(1-3), 111–125 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Watson, R.A.: Analysis of recombinative algorithms on a non-separable building-block problem. In: Foundations of Genetic Algorithms, pp. 69–89. Morgan Kaufmann, San Mateo (2001)

    Chapter  Google Scholar 

  8. Stephens, C.R., Waelbroeck, H.: Schemata evolution and building blocks. Evol. Comp. 7, 109–124 (1999)

    Article  Google Scholar 

  9. Stephens, C.R.: Some exact results from a coarse grained formulation of genetic dynamics. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2001), July 7-11, 2001, pp. 631–638. Morgan Kaufmann, San Francisco, California, USA (2001)

    Google Scholar 

  10. Stephens, C.R., Waelbroeck, H., Aguirre, R.: Schemata as building blocks: Does size matter? In: FOGA, pp. 117–133 (1998)

    Google Scholar 

  11. Beyer, H.-G.: An alternative explanation for the manner in which genetic algorithms operate. BioSystems 41(1), 1–15 (1997)

    Article  Google Scholar 

  12. Jones, T.: Crossover, macromutation, and population-based search. In: Eshelman, L.J. (ed.) Proceedings of the Sixth International Conference on Genetic Algorithms, pp. 73–80. Morgan Kaufmann, San Francisco, CA (1995)

    Google Scholar 

  13. Grefenstette, J.J.: Deception considered harmful. In: Foundations of Genetic Algorithms, pp. 75–91. Morgan Kaufmann, San Mateo (1992)

    Google Scholar 

  14. Harik, G.R., Goldberg, D.G.: Learning linkage. In: FOGA , vol. 4, pp. 247–262 (1996)

    Google Scholar 

  15. Stephens, C.R.: The renormalization group and the dynamics of genetic systems. Acta Phys. Slov. 52, 515–524 (2002)

    Google Scholar 

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Christopher R. Stephens Marc Toussaint Darrell Whitley Peter F. Stadler

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© 2007 Springer-Verlag Berlin Heidelberg

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Stephens, C.R., Cervantes, J. (2007). Just What Are Building Blocks?. In: Stephens, C.R., Toussaint, M., Whitley, D., Stadler, P.F. (eds) Foundations of Genetic Algorithms. FOGA 2007. Lecture Notes in Computer Science, vol 4436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73482-6_2

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  • DOI: https://doi.org/10.1007/978-3-540-73482-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73479-6

  • Online ISBN: 978-3-540-73482-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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