计算机应用 ›› 2013, Vol. 33 ›› Issue (11): 3107-3110.

• 人工智能 • 上一篇    下一篇

小波神经网络模型的改进方法

张炎亮1,陈鑫1,李亚东2   

  1. 1. 郑州大学 管理工程学院,郑州 450001
    2. 河南投资集团有限公司 总经办,郑州 450001
  • 收稿日期:2013-05-09 修回日期:2013-07-17 出版日期:2013-11-01 发布日期:2013-12-04
  • 通讯作者: 陈鑫
  • 作者简介:张炎亮(1979-),女,安徽亳州人,副教授,博士,主要研究方向:工业工程;陈鑫(1989-),男,江苏盐城人,硕士研究生,主要研究方向:工业工程;李亚东(1976-),男,河南焦作人,高级工程师,博士,主要研究方向:企业风险管理。
  • 基金资助:
    教育部人文社会科学研究青年基金资助项目

Modified method for wavelet neural network model

ZHANG Yanliang1,CHEN Xin1,LI Yadong2   

  1. 1. School of Management Engineering, Zhengzhou University, Zhengzhou Henan 450001, China;
    2. Department of Executive, Henan Investment Group Company Limited, Zhengzhou Henan 450001, China
  • Received:2013-05-09 Revised:2013-07-17 Online:2013-12-04 Published:2013-11-01
  • Contact: CHEN Xin

摘要: 为了改善小波神经网络(WNN)在处理复杂非线性问题的性能,针对量子粒子群优化(QPSO)算法易早熟、后期多样性差、搜索精度不高的缺点,提出一种同时引入加权系数、引入Cauchy随机数、改进收缩扩张系数和引入自然选择的改进量子粒子群优化算法,将其代替梯度下降法,训练小波基系数和网络权值,再将优化后的参数组合输入小波神经网络,以实现算法的耦合。通过对3个UCI标准数据集的仿真实验表明,与WNN、PSO-WNN、QPSO-WNN算法相比,改进的量子粒子群小波神经网络(MQPSO-WNN)算法的运行时间减少了11%~43%,而计算相对误差较之降低了8%~57%。因此,改进的量子粒子群小波神经网络模型能够更迅速、更精确地逼近最优值。

关键词: 小波神经网络, 改进的量子粒子群, 参数组合优化

Abstract: To improve the performance of Wavelet Neural Network (WNN) model in dealing with complex nonlinear problems, concerning the shortcomings of premature convergence, poor late diversity, poor search accuracy of Quantum-behaved Particle Swarm Optimization (QPSO) algorithm, a modified quantum-behaved particle swarm algorithm was proposed for WNN training by introducing weighting coefficients, introducing Cauchy random number, improving contraction-expansion coefficient and introducing natural selection at the same time. And then, it replaced the gradient descent method with the modified quantum-behaved particle swarm algorithm, trained the wavelet coefficients and network weights, and then input the optimized combination of parameters into wavelet neural network to achieve the algorithm coupling. The simulation results on three UCI standard datasets show that the running time of the Modified Quantum-behaved Particle Swarm Optimization-Wavelet Neural Network (MQPSO-WNN) was reduced by 11%~43%, while the calculation error was decreased by 8%~57%, compared with wavelet neural network, PSO-WNN and QPSO-WNN. Therefore, the MQPSO-WNN model can approximate the optimal value more quickly and more accurately.

Key words: Wavelet Neural Network (WNN), modified Quantum-behaved Particle Swarm Optimization (QPSO), parameters combination optimization

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