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Improved Topological Niching for Real-Valued Global Optimization

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Applications of Evolutionary Computation (EvoApplications 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7248))

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Abstract

We show how nearest-better clustering, the core component of the NBC-CMA niching evolutionary algorithm, is improved by appyling a second heuristic rule. This leads to enhanced basin identification for higher dimensional (5D to 20D) optimization problems, where the NBC-CMA has previously shown only mediocre performance compared to other niching and global optimization algorithms. The new method is integrated into a niching algorithm (NEA2) and compared to NBC-CMA and BIPOP-CMA-ES via the BBOB benchmarking suite. It performs very well on problems that enable recognizing basins at all with reasonable effort (number of basins not too high, e.g. the Gallagher problems), as expected. Beyond that point, niching is obviously not applicable any more and random restarts as done by the CMA-ES are the method of choice.

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References

  1. Auger, A., Hansen, N.: A restart CMA evolution strategy with increasing population size. In: Proceedings of the IEEE Congress on Evolutionary Computation, CEC 2005, Edinburgh, UK, September 2-4, pp. 1769–1776. IEEE Press (2005)

    Google Scholar 

  2. Hansen, N.: The CMA Evolution Strategy: A Tutorial, http://www.lri.fr/~hansen/cmatutorial.pdf (version of June 28, 2011)

  3. Martin, W.N., Lienig, J., Cohoon, J.P.: Island (migration) models: evolutionary algorithms based on punctuated equilibria. In: Handbook of Evolutionary Computation, pp. pp. C6.3:1–C6.3:16. Institute of Physics Publishing, Bristol (1997)

    Google Scholar 

  4. Müller, C.L., Baumgartner, B., Sbalzarini, I.F.: Particle swarm CMA evolution strategy for the optimization of multi-funnel landscapes. In: Proceedings of the Eleventh Congress on Evolutionary Computation, CEC 2009, pp. 2685–2692. IEEE Press (2009), http://dl.acm.org/citation.cfm?id=1689599.1689956

  5. Preuss, M.: Niching the CMA-ES via nearest-better clustering. In: Proceedings of the 12th Annual Conference Companion on Genetic and Evolutionary Computation, GECCO 2010, pp. 1711–1718. ACM (2010)

    Google Scholar 

  6. Preuss, M., Schönemann, L., Emmerich, M.: Counteracting genetic drift and disruptive recombination in (μ + /, λ)-EA on multimodal fitness landscapes. In: Beyer, H.G., et al. (eds.) Proc. Genetic and Evolutionary Computation Conf. (GECCO 2005), Washington D.C, vol. 1, pp. 865–872. ACM Press, New York (2005)

    Google Scholar 

  7. Preuss, M., Stoean, C., Stoean, R.: Niching foundations: basin identification on fixed-property generated landscapes. In: Proceedings of the 13th Annual Conference on Genetic and Evolutionary Computation, GECCO 2011, pp. 837–844. ACM (2011)

    Google Scholar 

  8. Shir, O.M., Emmerich, M., Bäck, T.: Adaptive Niche Radii and Niche Shapes Approaches for Niching with the CMA-ES. Evolutionary Computation 18(1), 97–126 (2010)

    Article  Google Scholar 

  9. Singh, G., Deb, K.: Comparison of multi-modal optimization algorithms based on evolutionary algorithms. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, GECCO 2006, pp. 1305–1312. ACM (2006)

    Google Scholar 

  10. Stoean, C., Preuss, M., Stoean, R., Dumitrescu, D.: Multimodal optimization by means of a topological species conservation algorithm. IEEE Transactions on Evolutionary Computation 14(6), 842–864 (2010)

    Article  Google Scholar 

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Preuss, M. (2012). Improved Topological Niching for Real-Valued Global Optimization. In: Di Chio, C., et al. Applications of Evolutionary Computation. EvoApplications 2012. Lecture Notes in Computer Science, vol 7248. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29178-4_39

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  • DOI: https://doi.org/10.1007/978-3-642-29178-4_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29177-7

  • Online ISBN: 978-3-642-29178-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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