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Hierarchical Genetic Algorithms

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Parallel Problem Solving from Nature - PPSN VIII (PPSN 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3242))

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Abstract

Current Genetic Algorithms can efficiently address order-k separable problems, in which the order of the linkage is restricted to a low value k. Outside this class, there exist hierarchical problems that cannot be addressed by current genetic algorithms, yet can be addressed efficiently in principle by exploiting hierarchy. We delineate the class of hierarchical problems, and describe a framework for Hierarchical Genetic Algorithms. Based on this outline for algorithms, we investigate under what conditions hierarchical problems may be solved efficiently. Sufficient conditions are provided under which hierarchical problems can be addressed in polynomial time. The analysis points to the importance of efficient sampling techniques that assess the quality of module settings.

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References

  1. Goldberg, D.E.: The design of innovation. Lessons from and for competent genetic algorithms. Kluwer Academic Publishers, Dordrecht (2002)

    MATH  Google Scholar 

  2. Simon, H.A.: The Sciences of the Artificial. The MIT Press, Cambridge (1968)

    Google Scholar 

  3. Watson, R.A., Hornby, G.S., Pollack, J.B.: Modeling building-block interdependency. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, pp. 97–106. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  4. Pelikan, M., Goldberg, D.E.: Escaping hierarchical traps with competent genetic algorithms. In: Spector, L., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2001, pp. 511–518. Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  5. Pelikan, M., Goldberg, D.E.: Hierarchical problem solving by the bayesian optimization algorithm. In: Whitley, D., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2000), Las Vegas, Nevada, USA, pp. 267–274. Morgan Kaufmann, San Francisco (2000)

    Google Scholar 

  6. Watson, R.A.: Compositional Evolution: Interdisciplinary Investigations in Evolvability, Modularity, and Symbiosis. PhD thesis, Brandeis University (2002)

    Google Scholar 

  7. Watson, R.A., Pollack, J.B.: A computational model of symbiotic composition in evolutionary transitions. Biosystems 69, 187–209 (2003); Special Issue on Evolvability, ed. Nehaniv

    Article  Google Scholar 

  8. De Jong, E.D., Thierens, D.: Exploiting modularity, hierarchy, and repetition in variable-length problems. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 1030–1041. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Hu, J., Goodman, E.D.: The hierarchical fair competition (HFC) model for parallel evolutionary algorithms. In: Fogel, D.B., El-Sharkawi, M.A., Yao, X., Greenwood, G., Iba, H., Marrow, P., Shackleton, M. (eds.) Proceedings of the 2002 Congress on Evolutionary Computation CEC 2002, pp. 49–54. IEEE Press, Los Alamitos (2002)

    Google Scholar 

  10. Gulsen, M., Smith, A.E.: A hierarchical genetic algorithm for system identification and curve fitting with a supercomputer implementation. In: Davis, L.D., et al. (eds.) Evolutionary Algorithms, pp. 111–137. Springer, New York (1999)

    Google Scholar 

  11. Tang, K., Man, K., Istepanian, R.: Teleoperation controller design using hierarical genetic algorithms. In: Proceedings of the IEEE International conference on Industrial Technology, pp. 707–711 (2000)

    Google Scholar 

  12. Thierens, D., Goldberg, D.: Mixing in genetic algorithms. In: Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 38–45. Morgan Kaufmann, San Francisco (1993)

    Google Scholar 

  13. Thierens, D.: Scalability problems of simple genetic algorithms. Evolutionary Computation 7, 331–352 (1999)

    Article  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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de Jong, E.D., Thierens, D., Watson, R.A. (2004). Hierarchical Genetic Algorithms. In: Yao, X., et al. Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. Lecture Notes in Computer Science, vol 3242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30217-9_24

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  • DOI: https://doi.org/10.1007/978-3-540-30217-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23092-2

  • Online ISBN: 978-3-540-30217-9

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