Abstract
In evolution strategies with neighborhood attraction (EN) the concepts of neighborhood cooperativeness and learning rules known from neural maps are transferred onto the individuals of evolution strategies. A previous approach, which utilized a neighborhood relationship adapted from self-organizing maps (SOM), appeared to perform as well as or even better than comparable conventional evolution strategies on a variety of common test functions. In this contribution, an EN with a new neighborhood relationship and learning rule based on the idea of neural gas is introduced. Its performance is compared to the SOM-like approach, using the same test functions. It is shown that the neural gas approach is considerably faster in finding the optimum than the SOM approach, although the latter seems to be more robust for multi-modal problems.
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References
Pal, S. K., Mitra, S.: Neuro fuzzy pattern recognition: methods in soft computing. Wiley, New York (1999)
Kohonen, T.: Self-Organizing Maps. Springer Verlag, Berlin (1995)
Martinetz, T., Schulten, K.: Topology representing networks. Neural Networks 7 (1994)
Huhse, J., Zell, A.: Evolution strategy with neighborhood attraction. In Bothe, H., Rojas, R., eds.: Proceedings of the Second ICSC Symposium on Neural Computation—NC 2000, ICSC Academic Press, Canada/Switzerland (2000) 363–369
Martinetz, T., Schulten, K.: A “Neural-Gas” network learns topologies. In Kohonen, T., Mäkisara, K., Simula, O., Kangas, J., eds.: Proc. International Conference on Artificial Neural Networks (Espoo, Finland). Volume I., Amsterdam, Netherlands, North-Holland (1991) 397–402
Martinetz, T. M., Berkovich, S. G., Schulten, K. J.: ‘Neural-gas’ network for vector quantization and its application to time-series prediction. IEEE Trans. on Neural Networks 4 (1993) 558–569
Villmann, T.: Evolutionary algorithms and neural networks in hybrid systems. In Verleysen, M., ed.: Proceedings of 9th European Symposium on Artificial Neural Networks—ESANN’2001, Evere, Belgium, D-facto (2001)
Huhse, J., Zell, A.: Investigating the influence of the neighborhood attraction factor to evolution strategies with neighborhood attraction. In Verleysen, M., ed.: Proceedings of 9th European Symposium on Artificial Neural Networks—ESANN’2001, Evere, Belgium, D-facto (2001) 179–184
Schwefel, H. P.: Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie. Birkhäuser, Basel, Stuttgart (1977) Volume 26 of Interdisciplinary Systems Research, German.
Altenberg, L.: The evolution of evolvability in genetic programming. In Kinnear, K. E., ed.: Advances in Genetic Programming. Complex Adaptive Systems, Cambridge, MIT Press (1994) 47–74
deJong, K.: An analysis of the behaviour of a class of genetic adaptive systems. Master’s thesis, University of Michigan (1975)
Bäck, T.: A user’s guide to genesys 1.0. Technical report, University of Dortmund, Department of Computer Science
Schwefel, H. P.: Evolution and Optimum Seeking. John Wiley and Sons, New York (1995)
Schwefel, H. P.: Numerical Optimization of Computer Models. Wiley, Chichester (1981)
Ackley, D. H.: A connectionist machine for genetic hillclimbing. Kluwer Academic Publishers, Boston (1987)
Schwefel, H. P.: Evolutionary learning optimum-seeking on parallel computer architectures. In Sydow, A., Tzafestas, S. G., Vichnevetsky, R., eds.: Proceedings of the International Symposium on Systems Analysis and Simulation 1988, I: Theory and Foundations, Akademie der Wissenschaften der DDR, Akademie-Verlag, Berlin (1988) 217–225
Fletcher, R., Powell, M. J. D.: A rapidly convergent descent method for minimization. Comp. J. 6 (1963) 163–168
Törn, A., Žilinskas, A.: Global Optimization. Volume 350 of Lecture Notes in Computer Science. Springer, Berlin (1989)
Galar, R.: Simulation of local evolutionary dynamics of small populations. Biological Cybernetics 65 (1991) 37–45
Schwefel, H. P.: Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie. Volume 26 of Interdisciplinary systems research. Birkhäuser, Basel (1977)
Hansen, N., Ostermeier, A., Gawelczyk, A.: Über die Adaptation von allgemeinen, Koordinatensystem-unabhängigen, normalverteilten Mutationen in der Evolutionsstrategie: Die Erzeugendensystemadaption. Technical report, Technische Universität Berlin (1995)
Ostermeier, A., Gawelcyk, A., Hansen, N.: A derandomized approach to selfadaptation of evolution strategies. Evolutionary Computation 2 (1995) 369–380
Huhse, J., Zell, A.: Evolution strategy with neighborhood attraction—A robust evolution strategy. In Spector, L., Goodman, E. D., Wu, A., Langdon, W. B., Voigt, H. M., Gen, M., Sen, S., Dorigo, M., Pezeshk, S., Garzon, M. H., Burke, E., eds.: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2001), San Francisco, California, USA, Morgan Kaufmann (2001) 1026–1033
Huhse, J., Villmann, T., Zell, A.: Investigation of the neighborhood attraction evolutionary algorithm based on neural gas. In: Proceedings of the Sixth International Conference on Neural Networks and Soft Computing (ICNNSC) (to appear). Lecture Notes in Computer Science, Springer (2002)
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Huhse, J., Villmann, T., Merz, P., Zell, A. (2002). Evolution Strategy with Neighborhood Attraction Using a Neural Gas Approach. In: Guervós, J.J.M., Adamidis, P., Beyer, HG., Schwefel, HP., Fernández-Villacañas, JL. (eds) Parallel Problem Solving from Nature — PPSN VII. PPSN 2002. Lecture Notes in Computer Science, vol 2439. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45712-7_38
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DOI: https://doi.org/10.1007/3-540-45712-7_38
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