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A Genetic Algorithm Assisted by a Locally Weighted Regression Surrogate Model

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Computational Science and Its Applications – ICCSA 2012 (ICCSA 2012)

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Abstract

In this paper we compare two strategies using locally weighted regression as a surrogate model to improve the efficiency of a real-coded generational genetic algorithm where a fixed budget of simulations is imposed. Only a fraction of the candidate solutions are evaluated exactly, allowing for more generations to evolve the population (the number of generations increases according to a user defined parameter). We test the proposed strategies on a set of benchmark optimization problems from the literature. The results show that the surrogate strategies can improve the performance of the GA depending on the user defined parameter. We suggest a threshold value to this parameter so that the locally weighted regression can be used to enhance the efficiency of genetic algorithms, when the number of calls to the expensive simulation is limited.

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References

  1. Grefenstette, J., Fitzpatrick, J.: Genetic search with approximate fitness evaluations. In: Proceedings of the International Conference on Genetic Algorithms and Their Applications, pp. 112–120 (1985)

    Google Scholar 

  2. Forrester, A.I., Keane, A.J.: Recent advances in surrogate-based optimization. Progress in Aerospace Sciences 45(1-3), 50–79 (2009)

    Article  Google Scholar 

  3. Jin, Y.: Surrogate-assisted evolutionary computation: Recent advances and future challenges. Swarm and Evolutionary Computation 1(2), 61–70 (2011)

    Article  Google Scholar 

  4. Ong, Y., Nair, P., Keane, A.: Evolutionary optimization of computationally expensive problems via surrogate modeling. AIAA Journal 41(4), 687–696 (2003)

    Article  Google Scholar 

  5. Yang, D., Flockton, S.J.: Evolutionary algorithms with a coarse-to-fine function smoothing. In: IEEE International Conference on Evolutionary Computation, vol. 2, pp. 657–662 (1995)

    Google Scholar 

  6. Sun, X.Y., Gong, D., Li, S.: Classification and regression-based surrogate model-assisted interactive genetic algorithm with individual’s fuzzy fitness. In: Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, GECCO 2009, pp. 907–914. ACM, New York (2009)

    Chapter  Google Scholar 

  7. Jin, Y., Branke, J.: Evolutionary optimization in uncertain environments – a survey. IEEE Transactions on Evolutionary Computation 9(3) (2005)

    Google Scholar 

  8. Ferrari, S., Stengel, R.F.: Smooth function approximation using neural networks. IEEE Transactions on Neural Networks 16(1), 24–38 (2005)

    Article  Google Scholar 

  9. Emmerich, M., Giannakoglou, K., Naujoks, B.: Single- and multiobjective evolutionary optimization assisted by gaussian random field metamodels. Evolutionary Computation 10(4), 421–439 (2006)

    Article  Google Scholar 

  10. Giannakoglou, K.C.: Design of optimal aerodynamic shapes using stochastic optimization methods and computational intelligence. Progress in Aerospace Sciences 38(1), 43–76 (2002)

    Article  Google Scholar 

  11. Kecman, V.: Learning and soft computing: support vector machines, neural networks, and fuzzy logic models. In: Complex Adaptive Systems. MIT Press, Cambridge (2001)

    Google Scholar 

  12. Fonseca, L.G., Barbosa, H.J.C., Lemonge, A.C.C.: A similarity-based surrogate model for enhanced performance in genetic algorithms. OPSEARCH 46, 89–107 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  13. Fonseca, L.G., Barbosa, H.J.C., Lemonge, A.C.C.: On similarity-based surrogate models for expensive single- and multi-objective evolutionary optimization. In: Computational Intelligence in Expensive Optimization Problems. Adaptation, Learning, and Optimization, vol. 2, pp. 219–248. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  14. Noronha Jr., D.B., Martins, R.R., Jacob, B.P., de Souza, E.: Procedures for the strain based assessment of pipeline dents. International Journal of Pressure Vessels and Piping 87(5), 254–265 (2010)

    Article  Google Scholar 

  15. Salami, M., Hendtlass, T.: A fast evaluation strategy for evolutionary algorithms. Applied Soft Computing 2, 156–173 (2003)

    Article  Google Scholar 

  16. Pilato, C., Tumeo, A., Palermo, G., Ferrandi, F., Lanzi, P.L., Sciuto, D.: Improving evolutionary exploration to area-time optimization of FPGA designs. Journal of Systems Architecture 54(11), 1046–1057 (2008)

    Article  Google Scholar 

  17. Goel, T., Haftka, R., Shyy, W., Queipo, N.: Ensemble of surrogates. Structural and Multidisciplinary Optimization 33(3), 199–216 (2007)

    Article  Google Scholar 

  18. Acar, E., Rais-Rohani, M.: Ensemble of metamodels with optimized weight factors. Struct. Multidisc Optim. 37(3), 279–294 (2009)

    Article  Google Scholar 

  19. Lim, D., Jin, Y., Ong, Y.S., Sendhoff, B.: Generalizing surrogate-assisted evolutionary computation. IEEE Transactions on Evolutionary Computation 14(3), 329–355 (2010)

    Article  Google Scholar 

  20. Branke, J., Schmidt, C., Schmeck, H.: Efficient fitness estimation in noisy environment. In: Spector, L., et al. (eds.) Proceedings of Genetic and Evolutionary Computation, pp. 243–250. Morgan Kaufmann (2001)

    Google Scholar 

  21. Kern, S., Hansen, N., Koumoutsakos, P.: Local Meta-models for Optimization Using Evolution Strategies. In: Runarsson, T.P., Beyer, H.-G., Burke, E.K., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds.) PPSN 2006. LNCS, vol. 4193, pp. 939–948. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  22. Halloran, J.P., Erdemir, A., van den Bogert, A.J.: Adaptive surrogate modeling for efficient coupling of musculoskeletal control and tissue deformation models. Journal of Biomechanical Engineering 131(1), 011014 (2009)

    Article  Google Scholar 

  23. Bernardino, H.S., Barbosa, H.J.C., Fonseca, L.G.: Surrogate-assisted clonal selection algorithms for expensive optimization problems. Evolutionary Intelligence 4, 81–97 (2011)

    Article  Google Scholar 

  24. Blanning, R.W.: The source and uses of sensivity information. Interfaces 4(4), 32–38 (1974)

    Article  Google Scholar 

  25. Ruppert, D., Wand, M.P.: Multivariate locally weighted least squares regression. The Annals of Statistics 22(3), 1346–1370 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  26. Regis, R.G., Shoemaker, C.A.: Local function approximation in evolutionary algorithms for the optimization of costly functions. IEEE Trans. Evolutionary Computation 8(5), 490–505 (2004)

    Article  Google Scholar 

  27. Rasheed, K., Vattam, S., Ni, X.: Comparison of methods for using reduced models to speed up design optimization. In: Proceedings of Genetic and Evolutionary Computation Conference, pp. 1180–1187. Morgan Kaufmann, New York (2002)

    Google Scholar 

  28. Wanner, E.F., Guimaraes, F.G., Takahashi, R.H.C., Lowther, D.A., Ramirez, J.A.: Multiobjective memetic algorithms with quadratic approximation-based local search for expensive optimization in electromagnetics. IEEE Transactions on Magnetics 44(6), 1126–1129 (2008)

    Article  Google Scholar 

  29. Praveen, C., Duvigneau, R.: Low cost PSO using metamodels and inexact pre-evaluation: Application to aerodynamic shape design. Computer Methods in Applied Mechanics and Engineering 198(9-12), 1087–1096 (2009)

    Article  MATH  Google Scholar 

  30. Diaz-Manriquez, A., Toscano-Pulido, G., Gomez-Flores, W.: On the selection of surrogate models in evolutionary optimization algorithms. In: 2011 IEEE Congress on Evolutionary Computation (CEC), pp. 2155–2162 (2011)

    Google Scholar 

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Fonseca, L.G., Bernardino, H.S., Barbosa, H.J.C. (2012). A Genetic Algorithm Assisted by a Locally Weighted Regression Surrogate Model. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2012. ICCSA 2012. Lecture Notes in Computer Science, vol 7333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31125-3_10

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  • DOI: https://doi.org/10.1007/978-3-642-31125-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31124-6

  • Online ISBN: 978-3-642-31125-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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