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Considering the problem that least squares support vector machine prediction model with single kernel function cannot significantly improve the prediction accuracy of chaotic time series, a combination kernel function least squares support vector machine prediction model is proposed. The model uses a polynomial function and radial basis function to construct the kernel function of least squares support vector machine. An improved genetic algorithm with better convergence speed and precision is proposed for parameter optimization of prediction model. The simulation experimental results of Lorenz, Mackey-Glass, Sunspot-Runoff in the Yellow River and chaotic network traffic time series demonstrate the effectiveness and characteristics of the proposed model.
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Keywords:
- chaotic time series /
- least squares support vector machine /
- combination kernel function /
- improved genetic algorithm
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[6] Toque C, Terraza V 2011 Commun. Statist.-Theor. Methods 40 1533
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[8] Li P, Li Y, Xiong Q, Chai Y, Zhang Y 2014 Int. J. Elec. Power 55 749
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[22] Bodyanskiy Y, Vynokurova O 2013 Inform. Sci. 220 170
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[25] Han X X, Xie G, Han X M, Xie K M 2012 Contr. Decis. 27 953 (in Chinese) [韩晓霞, 谢刚, 韩晓明, 谢克明 2012 控制与决策 27 953]
[26] Smits G F, Jordaan E M 2002 Proceedings of the International Joint Conference on Neural Networks (Piscataway: IEEE) p2785
[27] Wang S, Yang X J, Wei C J 2006 Proceedings of the World Congress on Intelligent Control and Automation (Piscataway: IEEE) p3014
[28] Toledo C F M, Oliveira L, Franca P M 2014 J. Comput. Appl. Math. 261 341
[29] Guo T, Lan J L, Li Y F, Jiang Y M 2013 J. Electron. Inform. Technol. 35 2220 (in Chinese) [郭通, 兰巨龙, 李玉峰, 江逸茗 2013 电子与信息学报 35 2220]
[30] Meng Q F, Chen Y H, Feng Z Q, Wang F L, Chen S S 2013 Acta Phys. Sin. 62 150509 (in Chinese) [孟庆芳, 陈月辉, 冯志全, 王枫林, 陈珊珊 2013 62 150509]
[31] Cui W Z, Zhu C C, Bao W X, Liu J H 2005 Acta Phys. Sin. 54 3009 (in Chinese) [崔万照, 朱长纯, 保文星, 刘君华 2005 54 3009]
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[1] Wang S W, Feng J, Liu G 2013 Math. Comput. Model. 58 677
[2] Hong W C 2009 Energy Convers. Manage. 50 105
[3] Zhao X J, Shang P J, Wang J 2013 Phys. Rev. E 87 805
[4] Chowdhury P, Dwivedi B N 2011 Sol. Phys. 270 365
[5] Ding J, Han L L, Chen X M 2010 Math. Comput. Model. 51 527
[6] Toque C, Terraza V 2011 Commun. Statist.-Theor. Methods 40 1533
[7] Khashei M, Bijari M 2011 Appl. Soft Comput. 11 2664
[8] Li P, Li Y, Xiong Q, Chai Y, Zhang Y 2014 Int. J. Elec. Power 55 749
[9] Li D C, Han M 2011 Acta Phys. Sin. 60 108903 (in Chinese) [李德才, 韩敏 2011 60 108903]
[10] Zhang J S, Xiao X C 2000 Chin. Phys. Lett. 17 88
[11] Zhang J F, Hu S S 2007 Acta Phys. Sin. 56 713 (in Chinese) [张军峰, 胡寿松 2007 56 713]
[12] Zhang J S, Xiao X C 2001 Chin. Phys. 10 390
[13] Li G D, Masuda S, Nagai M 2013 Int. J. Adv. Manuf. Tech. 67 2343
[14] Li P, Tan Z, Yan L, Deng K 2011 Min. Sci. Tech. 21 557
[15] Wang G L, Yang P C, Mao Y Q 2008 Acta Phys. Sin. 57 714 (in Chinese) [王革丽, 杨培才, 毛宇清 2008 57 714]
[16] Li H C, Zhang J S 2005 Chin. Phys. Lett. 22 2776
[17] Vapnik V N 1999 IEEE Trans. Neural Netw. 10 1045
[18] Tan W, Wang Y N, Zhou S W, Liu Z R 2003 Acta Phys. Sin. 52 2205 (in Chinese) [谭文, 王耀南, 周少武, 刘祖润 2003 52 2205]
[19] Yang Y F, Ren X M, Qin W Y, Wu Y F, Zhi X Z 2008 Acta Phys. Sin. 57 6139 (in Chinese) [杨永锋, 任兴民, 秦卫阳, 吴亚锋, 支希哲 2008 57 6139]
[20] Han M, Xu M L 2013 Acta Phys. Sin. 62 120510 (in Chinese) [韩敏, 许美玲 2013 62 120510]
[21] Song T, Li H 2012 Acta Phys. Sin. 61 080506 (in Chinese) [宋彤, 李菡 2012 61 080506]
[22] Bodyanskiy Y, Vynokurova O 2013 Inform. Sci. 220 170
[23] Suykens J A K, Vandewalle J 1999 Neural Process Lett. 9 293
[24] Pan J S, Hong M Z, Zhou Q F, Cai J Y, Wang H Z, Luo L K, Yang D Q, Dong J, Shi H X, Ren J L 2009 BMC Biotechnol. 9 52
[25] Han X X, Xie G, Han X M, Xie K M 2012 Contr. Decis. 27 953 (in Chinese) [韩晓霞, 谢刚, 韩晓明, 谢克明 2012 控制与决策 27 953]
[26] Smits G F, Jordaan E M 2002 Proceedings of the International Joint Conference on Neural Networks (Piscataway: IEEE) p2785
[27] Wang S, Yang X J, Wei C J 2006 Proceedings of the World Congress on Intelligent Control and Automation (Piscataway: IEEE) p3014
[28] Toledo C F M, Oliveira L, Franca P M 2014 J. Comput. Appl. Math. 261 341
[29] Guo T, Lan J L, Li Y F, Jiang Y M 2013 J. Electron. Inform. Technol. 35 2220 (in Chinese) [郭通, 兰巨龙, 李玉峰, 江逸茗 2013 电子与信息学报 35 2220]
[30] Meng Q F, Chen Y H, Feng Z Q, Wang F L, Chen S S 2013 Acta Phys. Sin. 62 150509 (in Chinese) [孟庆芳, 陈月辉, 冯志全, 王枫林, 陈珊珊 2013 62 150509]
[31] Cui W Z, Zhu C C, Bao W X, Liu J H 2005 Acta Phys. Sin. 54 3009 (in Chinese) [崔万照, 朱长纯, 保文星, 刘君华 2005 54 3009]
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