Abstract
Following the introduction of two niching methods within Evolution Strategies (ES), which have been presented recently and have been successfully applied to theoretical high-dimensional test functions, as well as to a real-life high-dimensional physics problem, the purpose of this study is to address the so-called niche radius problem.
A new concept of adaptive individual niche radius, introduced here for the first time, is applied to the ES Niching with Covariance Matrix Adaptation (CMA) method. The proposed method is described in detail, and then tested on high-dimensional theoretical test functions.
It is shown to be robust and to achieve satisfying 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
Mahfoud, S.: Niching Methods for Genetic Algorithms. PhD thesis, University of Illinois at Urbana Champaign (1995)
Bäck, T.: Selective pressure in evolutionary algorithms: A characterization of selection mechanisms. In: Michalewicz, Z., Schaffer, J.D., Schwefel, H.P., Fogel, D.B., Kitano, H. (eds.) Proc. First IEEE Conf. Evolutionary Computation (ICEC 1994), Orlando, FL, vol. 1, IEEE Press, Piscataway (1994)
Bäck, T.: Evolutionary algorithms in theory and practice. Oxford University Press, New York (1996)
Shir, O.M., Bäck, T.: Niching in evolution strategies. In: Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2005, ACM Press, New York (2005)
Shir, O.M., Bäck, T.: Dynamic niching in evolution strategies with covariance matrix adaptation. In: Proceedings of the 2005 Congress on Evolutionary Computation CEC 2005, IEEE Press, Piscataway (2005)
Shir, O.M., Siedschlag, C., Bäck, T., Vrakking, M.J.: Niching in evolution strategies and its application to laser pulse shaping. In: Talbi, E.-G., Liardet, P., Collet, P., Lutton, E., Schoenauer, M. (eds.) EA 2005. LNCS, vol. 3871, pp. 85–96. Springer, Heidelberg (2006)
Jelasity, M.: Uego, an abstract niching technique for global optimization. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, Springer, Heidelberg (1998)
Gan, J., Warwick, K.: Dynamic niche clustering: A fuzzy variable radius niching technique for multimodal optimisation in GAs. In: Proceedings of the 2001 Congress on Evolutionary Computation CEC 2001, COEX, World Trade Center, 159 Samseong-dong, Gangnam-gu, Seoul, Korea, IEEE Press, Los Alamitos (2001)
Preuss, M., Schönemann, L., Emmerich, M.: Counteracting genetic drift and disruptive recombination in (μ, λ)-ea on multimodal fitness landscapes. In: GECCO 2005. Proceedings of the 2005 conference on Genetic and evolutionary computation, ACM Press, New York (2005)
Cioppa, A.D., Stefano, C.D., Marcelli, A.: On the role of population size and niche radius in fitness sharing. IEEE Trans. Evolutionary Computation 8 (2004)
Goldberg, D.E., Richardson, J.: Genetic algorithms with sharing for multimodal function optimization. In: Proceedings of the Second International Conference on Genetic Algorithms on Genetic algorithms and their application, Lawrence Erlbaum Associates, Inc., Mahwah (1987)
Miller, B., Shaw, M.: Genetic algorithms with dynamic niche sharing for multimodal function optimization. In: Proceedings of the 1996 IEEE International Conference on Evolutionary Computation (ICEC 1996), New York, NY, USA (1996)
Jong, K.A.D.: An analysis of the behavior of a class of genetic adaptive systems. PhD thesis (1975)
Shir, O.M., Bäck, T.: Niching in evolution strategies. Technical report (2005)
Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolution strategies. Evolutionary Computation 9 (2001)
Deb, K., Goldberg, D.E.: An investigation of niche and species formation in genetic function optimization. In: Proceedings of the third international conference on Genetic algorithms, Morgan Kaufmann Publishers Inc., San Francisco (1989)
Hansen, N., Kern, S.: Evaluating the cma evolution strategy on multimodal test functions. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, H.-P. (eds.) PPSN 1998. LNCS, vol. 1498, Springer, Heidelberg (1998)
Törn, A., Zilinskas, A.: Global Optimization. LNCS, vol. 350. Springer, Heidelberg (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Shir, O.M., Bäck, T. (2006). Niche Radius Adaptation in the CMA-ES Niching Algorithm. In: Runarsson, T.P., Beyer, HG., Burke, E., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds) Parallel Problem Solving from Nature - PPSN IX. PPSN 2006. Lecture Notes in Computer Science, vol 4193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11844297_15
Download citation
DOI: https://doi.org/10.1007/11844297_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38990-3
Online ISBN: 978-3-540-38991-0
eBook Packages: Computer ScienceComputer Science (R0)