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2020 | OriginalPaper | Chapter

Differential Evolution Algorithms Used to Optimize Weights of Neural Network Solving Pole-Balancing Problem

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Abstract

Differential evolution (DE) has been successfully used to solve difficult optimization problems. Every year, novel DE algorithms are developed to outperform the previous versions. The JADE is a famous DE algorithm using a mutation strategy current-to-pbest and the adaptation of control parameters. The SHADE has been developed to eliminate some bottlenecks of the JADE, especially its tendency to a premature convergence. The performance of these algorithms has been demonstrated on various benchmarks. The goal of this work is to compare the performance of the selected DE algorithms which are used to optimize the weights of the artificial neural network solving the pole-balancing problem.

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Literature
1.
go back to reference Brest, J., Greiner, S., Bošković, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 10(6), 646–657 (2006)CrossRef Brest, J., Greiner, S., Bošković, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 10(6), 646–657 (2006)CrossRef
2.
go back to reference Brownlee, J., et al.: The pole balancing problem: A Benchmark Control Theory Problem (2005) Brownlee, J., et al.: The pole balancing problem: A Benchmark Control Theory Problem (2005)
3.
go back to reference Chiang, C.-W., Lee, W.-P., Heh, J.-S.: A 2-opt based differential evolution for global optimization. Appl. Soft Comput. 10(4), 1200–1207 (2010)CrossRef Chiang, C.-W., Lee, W.-P., Heh, J.-S.: A 2-opt based differential evolution for global optimization. Appl. Soft Comput. 10(4), 1200–1207 (2010)CrossRef
4.
go back to reference Ilonen, J., Kamarainen, J.-K., Lampinen, J.: Differential evolution training algorithm for feed-forward neural networks. Neural Process. Lett. 17(1), 93–105 (2003)CrossRef Ilonen, J., Kamarainen, J.-K., Lampinen, J.: Differential evolution training algorithm for feed-forward neural networks. Neural Process. Lett. 17(1), 93–105 (2003)CrossRef
5.
go back to reference Liang, J., Qu, B., Suganthan, P., Hernández-Díaz, A.G.: Problem definitions and evaluation criteria for the CEC 2013 special session on real-parameter optimization. In: Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou, China and Nanyang Technological University, Singapore, Technical Report 201212, 3–18 (2013) Liang, J., Qu, B., Suganthan, P., Hernández-Díaz, A.G.: Problem definitions and evaluation criteria for the CEC 2013 special session on real-parameter optimization. In: Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou, China and Nanyang Technological University, Singapore, Technical Report 201212, 3–18 (2013)
6.
go back to reference Mallipeddi, R., Suganthan, P.N., Pan, Q.-K., Tasgetiren, M.F.: Differential evolution algorithm with ensemble of parameters and mutation strategies. Appl. Soft Comput. 11(2), 1679–1696 (2011)CrossRef Mallipeddi, R., Suganthan, P.N., Pan, Q.-K., Tasgetiren, M.F.: Differential evolution algorithm with ensemble of parameters and mutation strategies. Appl. Soft Comput. 11(2), 1679–1696 (2011)CrossRef
7.
go back to reference Real, E., Moore, S., Selle, A., Saxena, S., Suematsu, Y.L., Tan, J., Le, Q., Kurakin, A.: Large-scale evolution of image classifiers. arXiv preprint. arXiv:1703.01041 (2017) Real, E., Moore, S., Selle, A., Saxena, S., Suematsu, Y.L., Tan, J., Le, Q., Kurakin, A.: Large-scale evolution of image classifiers. arXiv preprint. arXiv:​1703.​01041 (2017)
8.
go back to reference Slowik, A., Bialko, M.: Training of artificial neural networks using differential evolution algorithm. In: 2008 Conference on Human System Interactions, pp. 60–65. IEEE (2008) Slowik, A., Bialko, M.: Training of artificial neural networks using differential evolution algorithm. In: 2008 Conference on Human System Interactions, pp. 60–65. IEEE (2008)
9.
go back to reference Stanley, K.O., Miikkulainen, R.: Evolving neural networks through augmenting topologies. Evol. Comput. 10(2), 99–127 (2002)CrossRef Stanley, K.O., Miikkulainen, R.: Evolving neural networks through augmenting topologies. Evol. Comput. 10(2), 99–127 (2002)CrossRef
10.
go back to reference Storn, R., Price, K.: Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces, vol. 3. ICSI, Berkeley (1995) Storn, R., Price, K.: Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces, vol. 3. ICSI, Berkeley (1995)
11.
go back to reference 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 (2005) 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 (2005)
12.
go back to reference Tanabe, R., Fukunaga, A.: Success-history based parameter adaptation for differential evolution. In: 2013 IEEE Congress on Evolutionary Computation (CEC), pp. 71–78. IEEE (2013) Tanabe, R., Fukunaga, A.: Success-history based parameter adaptation for differential evolution. In: 2013 IEEE Congress on Evolutionary Computation (CEC), pp. 71–78. IEEE (2013)
13.
go back to reference Tanabe, R., Fukunaga, A.S.: Improving the search performance of shade using linear population size reduction. In: 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 1658–1665. IEEE (2014) Tanabe, R., Fukunaga, A.S.: Improving the search performance of shade using linear population size reduction. In: 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 1658–1665. IEEE (2014)
14.
go back to reference Wang, Y., Cai, Z., Zhang, Q.: Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans. Evol. Comput. 15(1), 55–66 (2011)CrossRef Wang, Y., Cai, Z., Zhang, Q.: Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans. Evol. Comput. 15(1), 55–66 (2011)CrossRef
15.
go back to reference Yao, X., Liu, Y., Lin, G.: Evolutionary programming made faster. IEEE Trans. Evol. Comput. 3(2), 82–102 (1999)CrossRef Yao, X., Liu, Y., Lin, G.: Evolutionary programming made faster. IEEE Trans. Evol. Comput. 3(2), 82–102 (1999)CrossRef
16.
go back to reference Yi, W., Gao, L., Li, X., Zhou, Y.: A new differential evolution algorithm with a hybrid mutation operator and self-adapting control parameters for global optimization problems. Appl. Intell. 42(4), 642–660 (2015)CrossRef Yi, W., Gao, L., Li, X., Zhou, Y.: A new differential evolution algorithm with a hybrid mutation operator and self-adapting control parameters for global optimization problems. Appl. Intell. 42(4), 642–660 (2015)CrossRef
17.
go back to reference Zhang, J., Sanderson, A.C.: JADE: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13(5), 945–958 (2009)CrossRef Zhang, J., Sanderson, A.C.: JADE: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13(5), 945–958 (2009)CrossRef
18.
go back to reference Zhou, Y., Li, X., Gao, L.: A differential evolution algorithm with intersect mutation operator. Appl. Soft Comput. 13(1), 390–401 (2013)CrossRef Zhou, Y., Li, X., Gao, L.: A differential evolution algorithm with intersect mutation operator. Appl. Soft Comput. 13(1), 390–401 (2013)CrossRef
Metadata
Title
Differential Evolution Algorithms Used to Optimize Weights of Neural Network Solving Pole-Balancing Problem
Authors
Jan Vargovsky
Lenka Skanderova
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-14907-9_22