Abstract
Previous work presented some modified approaches based particle swarm optimization (PSO) to solve complex optimization problems. Preliminary results demonstrated that PSO with crossover (CPSO) constituted a promising approach to solve some optimization problems. However how to optimize high dimensional problem with crossover became challenging. In this paper, a modified PSO with dimension crossover is proposed. First we analyze the cause of hardly optimizing the high dimensional problem, and then design one dynamic dimension crossover PSO (DDC-PSO) to cope with high dimensional problems. Theoretical analysis is also presented to show why the modified algorithm can be effective. Finally DDC-PSO is tested on five benchmark optimization problems and the results show a superior performance compared to the standard PSO and CPSO.
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References
Eberhart, R., Kennedy, J.: New optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp. 39–43. IEEE CS Press, Nagoya (1995)
Lu, T.: The Theory and Application of the Dimension Reduction on the High-Dimensional Data Set, Science doctoral dissertation, National University of Defense Technology (2005)
Potter, M.A., De Jong, K.A.: A cooperative co-evolutionary approach to function optimization. In: Davidor, Y., Männer, R., Schwefel, H.-P. (eds.) PPSN 1994. LNCS, vol. 866, pp. 249–257. Springer, Heidelberg (1994)
Huanga, T., Ananda, S.M.: Micro-particle swarm optimizer for solving high dimensional optimization problems. Applied Mathematics and Computation, 1148–1154, October 15 (2006)
Lei, K., Qiu, Y., He, Y.: An Effective Particle Swarm Optimizer for Solving Complex Functions with High Dimensions. Computer Science 33 (2006)
Zhang, J., Hu, A., Guan, H.: A Combined SA-PSO Algorithm Based on PSO and SA Algorithms. Water Power 34(3) (2008)
Gao, H., Xu, W.-B., Sun, J.: A Quantum-particle swarm algorithm for optimizing high-dimension functions. Journal of Computer Applications 27(12) (2007)
Li, L., LI, H.-q.: Solving for complex functions with high dimensions based on hybrid particle swarm optimization. Journal of Computer Applications 27(7) (2007)
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© 2008 Springer-Verlag Berlin Heidelberg
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Hu, C., Yan, X., Li, C. (2008). Particle Swarm Optimization with Dynamic Dimension Crossover for High Dimensional Problems. In: Kang, L., Cai, Z., Yan, X., Liu, Y. (eds) Advances in Computation and Intelligence. ISICA 2008. Lecture Notes in Computer Science, vol 5370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92137-0_82
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DOI: https://doi.org/10.1007/978-3-540-92137-0_82
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92136-3
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