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Machine Learning Enhanced Multi-Objective Evolutionary Algorithm Based on Decomposition

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Intelligent Data Engineering and Automated Learning – IDEAL 2013 (IDEAL 2013)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8206))

Abstract

We address the problem of expensive multi-objective optimization using a machine learning assisted model of evolutionary computation. Specifically, we formulate a meta-objective function tailored to the framework of MOEA/D, which can be solved by means of supervised regression learning using the Support Vector Machine (SVM) algorithm. The learned model constitutes the knowledge which can be then utilized to guide the evolution process within MOEA/D so as to reach better regions in the search space more quickly. Simulation results on a variety of benchmark problems show that the machine-learning enhanced MOEA/D is able to obtain better estimation of Pareto fronts when the allowed computational budget, measured in terms of number of objective function evaluation, is scarce.

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References

  1. Chang, C.C., Lin, C.J.: LIBSVM: A library for support vector machines. ACM Transactions on Intelligent Systems and Technology 2, 27:1–27:27 (2011), http://www.csie.ntu.edu.tw/~cjlin/libsvm

    Google Scholar 

  2. Chia, J., Goh, C., Shim, V., Tan, K.: A data mining approach to evolutionary optimisation of noisy multi-objective problems. International Journal of Systems Science 43(7), 1217–1247 (2012)

    Article  Google Scholar 

  3. Deb, K.: Multi-objective optimization. In: Multi-Objective Optimization using Evolutionary Algorithms, pp. 13–46 (2001)

    Google Scholar 

  4. Huband, S., Hingston, P., Barone, L., While, L.: A review of multiobjective test problems and a scalable test problem toolkit. IEEE Transactions on Evolutionary Computation 10(5), 477–506 (2006)

    Article  Google Scholar 

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

    Article  Google Scholar 

  6. Li, H., Zhang, Q.: Multiobjective optimization problems with complicated pareto sets, moea/d and nsga-ii. IEEE Transactions on Evolutionary Computation 13(2), 284–302 (2009)

    Article  Google Scholar 

  7. Loshchilov, I., Schoenauer, M., Sebag, M.: A mono surrogate for multiobjective optimization. In: Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation, pp. 471–478. ACM (2010)

    Google Scholar 

  8. Schölkopf, B., Smola, A.J., Williamson, R.C., Bartlett, P.L.: New support vector algorithms. Neural Computation 12(5), 1207–1245 (2000)

    Article  Google Scholar 

  9. Seah, C.W., Ong, Y.S., Tsang, I.W., Jiang, S.: Pareto rank learning in multi-objective evolutionary algorithms. In: 2012 IEEE Congress on Evolutionary Computation (CEC), pp. 1–8. IEEE (2012)

    Google Scholar 

  10. Tenne, Y., Goh, C.K.: Computational intelligence in expensive optimization problems, vol. 2. Springer (2010)

    Google Scholar 

  11. Zhang, Q., Li, H.: Moea/d: A multiobjective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation 11(6), 712–731 (2007)

    Article  Google Scholar 

  12. Zhang, Q., Zhou, A., Zhao, S., Suganthan, P.N., Liu, W., Tiwari, S.: Multiobjective optimization test instances for the cec 2009 special session and competition. University of Essex, Colchester, UK and Nanyang Technological University, Singapore, Special Session on Performance Assessment of Multi-Objective Optimization Algorithms. Technical Report (2008)

    Google Scholar 

  13. Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: Empirical results. Evolutionary Computation 8(2), 173–195 (2000)

    Article  Google Scholar 

  14. Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C.M., da Fonseca, V.G.: Performance assessment of multiobjective optimizers: An analysis and review. IEEE Transactions on Evolutionary Computation 7(2), 117–132 (2003)

    Article  Google Scholar 

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Liau, Y.S., Tan, K.C., Hu, J., Qiu, X., Gee, S.B. (2013). Machine Learning Enhanced Multi-Objective Evolutionary Algorithm Based on Decomposition. In: Yin, H., et al. Intelligent Data Engineering and Automated Learning – IDEAL 2013. IDEAL 2013. Lecture Notes in Computer Science, vol 8206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41278-3_67

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  • DOI: https://doi.org/10.1007/978-3-642-41278-3_67

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41277-6

  • Online ISBN: 978-3-642-41278-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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