A Genetic Algorithm for Constructing Wavelet Neural Networks

  • Jinhua Xu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4113)


In this paper, a new algorithm is proposed for the design of WNNs. The design is performed in an evolutionary way, which allowed us to construct a parsimonious model to satisfy the design requirement. A genetic algorithm (GA) is used to select a wavelet basis, and the fitness of a wavelet is evaluated according to the residue reduction. Output weights are updated using least square techniques. Simulations demonstrate the effectiveness of the proposed algorithm.


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  1. 1.
    Zhang, Q., Benveniste, A.: Wavelet Networks. IEEE Trans. on Neural Networks 3, 889–898 (1992)CrossRefGoogle Scholar
  2. 2.
    Alonge, F., Dippolite, F., Raimondi, F.M.: System Identificaton via Optimised Wavelet-Based Neural Networks. IEE Proc.-Control Theory Appl. 150(2), 147–154 (2003)CrossRefGoogle Scholar
  3. 3.
    Billings, S.A., Wei, H.: A New Class of Wavelet Networks for Nonlinear System Identification. IEEE Trans. on Neural Networks 16(4), 862–874 (2005)CrossRefGoogle Scholar
  4. 4.
    Zhang, Q.: Using Wavelet Network in Nonparametric Estimation. IEEE Trans. on Neural Networks 8, 227–236 (1997)CrossRefGoogle Scholar
  5. 5.
    Xu, J., Ho, D.W.C.: A Basis Selection Algorithm for Wavelet Neural Networks. Neurocomputing 48, 681–689 (2002)zbMATHCrossRefGoogle Scholar
  6. 6.
    Yao, X.: Evolving Artificial Neural Networks. Proc. IEEE 87(9), 1423–1447 (1999)CrossRefGoogle Scholar
  7. 7.
    Leung, F.H.F., Lam, H.K., Ling, S.H., Tam, P.K.S.: Tuning of the Structure and Parameters of a Neural Network Using an Improved Genetic Algorithm. IEEE Trans. on Neural Networks 14(1), 79–88 (2003)CrossRefGoogle Scholar
  8. 8.
    Palmes, P.P., Hayasaka, T., Usui, S.: Mutation-Based Genetic Neural Network. IEEE Trans. on Neural Networks 16(3), 587–599 (2005)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jinhua Xu
    • 1
  1. 1.Department of Computer ScienceEast China Normal University 

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