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A Simple Adaptive Algorithm for Numerical Optimization

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Advances in Computational Intelligence (MICAI 2012)

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Abstract

This paper describes a novel algorithm for numerical optimization, which we call Simple Adaptive Climbing (SAC). SAC is a simple efficient single-point approach that does not require a careful fine-tunning of its two parameters. Our algorithm has a close resemblance to local optimization heuristics such as random walk, gradient descent and, hill-climbing. However, SAC algorithm is capable of performing global optimization efficiently in any kind of space. Tested on 15 well-known unconstrained optimization problems, it confirmed that SAC is competitive against representative state-of-the-art approaches.

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References

  1. Krishnakumar, K.: Micro-genetic algorithms for stationary and non-stationary function optimization. In: SPIE: Intelligent Control and Adaptive Systems, vol. 1196, pp. 289–296 (1989)

    Google Scholar 

  2. Winston, P.H.: Artificial Intelligence, 3rd edn. Addison-Wesley Publishing Company, Reading (1992)

    Google Scholar 

  3. Renders, J.M., Bersini, H.: Hybridizing genetic algorithms with hill-climbing methods for global optimization: two possible ways. In: Proceedings of the First IEEE Conference on Evolutionary Computation, pp. 312–317 (1994)

    Google Scholar 

  4. Storn, R., Price, K.: Differential Evolution - a simple and efficient heuristic for global optimization. Journal of Global Optimization 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kazarlis, S.E., Papadakis, S.E., Theocharis, J.B., Petridis, V.: Microgenetic Algorithms as Generalized Hill-Climbing Operators for GA Optimization. Evol. Comput. 5(3), 204–217 (2001)

    Article  Google Scholar 

  6. Toscano-Pulido, G., Coello-Coello, C.A.: Multiobjective Optimization using a Micro-Genetic Algorithm. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2001), pp. 126–140. Springer, Heidelberg (2001)

    Google Scholar 

  7. Lozano, M., Herrera, F., Krasnogor, N., Molina, D.: Real-Coded Memetic Algorithms with Crossover Hill-Climbing. Evolutionary Computation 12(3), 273–302 (2004)

    Article  Google Scholar 

  8. Auger, A., Kern, S., Hansen, N.: A Restart CMA Evolution Strategy with Increasing Population Size. In: CEC 2005 Special Session on Real-Parameter Obtimization, Nanyang Technol. Univ., Singaporem IIT Kanpur (2005)

    Google Scholar 

  9. Kleeman, M.P., Lamont, G.B.: Solving the Aircraft Engine Maintenance Scheduling Problem Using a Multi-objective Evolutionary Algorithm. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 782–796. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y.-P., Auger, A., Tiwari, S.: Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Obtimization. Nanyang Technol. Univ, Singaporem IIT Kanpur, 2005005 (2005)

    Google Scholar 

  11. Hansen, N.: Compilation of Results on the 2005 CEC Benchmark Function Set. Technical Report, CoLAB Institute of Computational Science, ETH, Zurich (2006)

    Google Scholar 

  12. Mezura-Montes, E., Coello Coello, C.A., Velazquez, R.J.: A comparative study of differential evolution variants for global optimization. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, pp. 485–492 (2006)

    Google Scholar 

  13. Fuentes Cabrera, J.C., Coello Coello, C.A.: Handling Constraints in Particle Swarm Optimization Using a Small Population Size. In: Gelbukh, A., Kuri Morales, Á.F. (eds.) MICAI 2007. LNCS (LNAI), vol. 4827, pp. 41–51. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Kattan, A., Poli, R.: Evolutionary lossless compression with GP-ZIP*. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation, GECCO 2008, pp. 1211–1218. ACM (2008)

    Google Scholar 

  15. Noman, N., Iba, H.: Accelerating Differential Evolution Using an Adaptive Local Search. IEEE Transactions on Evol. Comput. 12(1), 107–125 (2008)

    Article  Google Scholar 

  16. Valsalam, V.K., Miikkulainen, R.: Modular neuroevolution for multilegged locomotion. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation, GECCO 2008, pp. 265–272. ACM (2008)

    Google Scholar 

  17. Parsopoulos, K.E.: Cooperative Micro-Particle Swarm Optimization. In: ACM 2009 World Summit on Genetic and Evolutionary Computation (2009 GEC Summit), pp. 467–474. ACM, Shanghai (2009)

    Google Scholar 

  18. Qin, K.A., Huang, V.L., Suganthan, P.N.: Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization. IEEE Transactions on Evol. Comput. 13(2), 398–417 (2009)

    Article  Google Scholar 

  19. Viveros Jiménez, F., Mezura-Montes, E., Gelbukh, A.: Elitistic Evolution: An Efficient Heuristic for Global Optimization. In: Kolehmainen, M., Toivanen, P., Beliczynski, B. (eds.) ICANNGA 2009. LNCS, vol. 5495, pp. 171–182. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  20. Yan, W., Sewell, M.V., Clack, C.D.: Learning to optimize profits beats predicting returns -: comparing techniques for financial portfolio optimisation. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation, GECCO 2008, pp. 1681–1688. ACM (2009)

    Google Scholar 

  21. Hansen, N., Auger, A., Finck, S., Ros, R.: Comparison tables: BBOB 2009 function testbed in 20-D. Technical Report, INRIA (2010)

    Google Scholar 

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Viveros-Jiménez, F., León-Borges, J.A., Cruz-Cortés, N. (2013). A Simple Adaptive Algorithm for Numerical Optimization. In: Batyrshin, I., Mendoza, M.G. (eds) Advances in Computational Intelligence. MICAI 2012. Lecture Notes in Computer Science(), vol 7630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37798-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-37798-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37797-6

  • Online ISBN: 978-3-642-37798-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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