Abstract
In recent years numerous evolutionary algorithms have been proposed to optimize multi–modal problems. These algorithms test the performance by benchmark functions for simulating real-world problems. However, the benchmark functions don’t have enough similarity and complexity compared to real world. Thus, Recurrent Benchmark Generator (RBG) is proposed in this paper to generate complex and different benchmark functions. This generator obtains a mass of modals by recurrent neural network, which are added various fluctuations of normal benchmark functions to keep a balance between complexity and gradient. The experimental results indicate that the novel approach produces more complex benchmark functions which are more conformed to real world problems.
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References
Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)
Eberhart, R., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp. 39–43. IEEE (1995)
Wang, L., Yang, B., Orchard, J.: Particle swarm optimization using dynamic tournament topology. Appl. Soft Comput. 48, 584–596 (2016)
Wang, L., Yang, B., Abraham, A.: Distilling middle-age cement hydration kinetics from observed data using phased hybrid evolution. Soft. Comput. 20(9), 3637–3656 (2016)
Wang, L., Yang, B., Chen, Y., Zhang, X., Orchard, J.: Improving neural-network classifiers using nearest neighbor partitioning. IEEE Trans. Neural Netw. Learn. Syst. (2016, in Press). doi:10.1109/TNNLS.2016.2580570
Qu, B.Y., Liang, J.J., Wang, Z.Y., Chen, Q., Suganthan, P.N.: Novel benchmark functions for continuous multimodal optimization with comparative results. Swarm Evol. Comput. 26, 23–34 (2016)
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 optimization. KanGAL report, 2005005 (2005)
Li, T., Rogovchenko, Y.V.: Oscillation criteria for even-order neutral differential equations. Appl. Math. Lett. 61, 35–41 (2016)
Li, T., Rogovchenko, Y.V.: Oscillation of second-order neutral differential equations. Math. Nachr. 288(10), 1150–1162 (2015)
Mirjalili, S., Lewis, A.: Obstacles and difficulties for robust benchmark problems: a novel penalty-based robust optimisation method. Inf. Sci. 328, 485–509 (2016)
Pineda, F.J.: Generalization of back-propagation to recurrent neural networks. Phys. Rev. Lett. 59(19), 2229 (1987)
Acknowledgements
This work was supported by National Natural Science Foundation of China under Grant No. 61572230, No. 61573166, No. 61373054, No. 61472164, No. 61472163, No. 61672262, No. 61640218, Shandong Provincial Natural Science Foundation, China, under Grant ZR2015JL025, ZR2014JL042. Science and technology project of Shandong Province under Grant No. 2015GGX101025, Project of Shandong Province Higher Educational Science and Technology Program under Grant no. J16LN07. Shandong Provincial Key R&D Program under Grant No. 2016ZDJS01A12, No. 2016GGX101001.
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Sun, F., Wang, L., Yang, B., Zhou, J., Chen, Z. (2017). A Novel Method for Generating Benchmark Functions Using Recurrent Neural Network. In: Huang, DS., Bevilacqua, V., Premaratne, P., Gupta, P. (eds) Intelligent Computing Theories and Application. ICIC 2017. Lecture Notes in Computer Science(), vol 10361. Springer, Cham. https://doi.org/10.1007/978-3-319-63309-1_68
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DOI: https://doi.org/10.1007/978-3-319-63309-1_68
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