Skip to main content

A Novel Orthonormal Wavelet Network for Function Learning

  • Conference paper
  • 1377 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3610))

Abstract

This paper proposed a novel self-adaptive wavelet network model for Regression Analysis. The structure of this network is distinguished from those of the present models. It has four layers. This model not only can overcome the structural redundancy which the present wavelet network cannot do, but also can solve the complicated problems respectively. Thus, generalization performance has been greatly improved; moreover, rapid learning can be realized. Some experiments on regression analysis are presented for illustration. Compared with the existing results, the model reaches a hundredfold improvement in speed and its generalization performance has been greatly improved.

This work was supported by the National Science Foundation of China (Grant No.60375021) and the Science Foundation of Hunan Province (Grant No.00JJY3096) and the Key Project of Hunan Provincial Education Department (Grant No.04A056).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zhang, Q., Benveniste, A.: Wavelet network. IEEE Trans. Neural Networks 3, 889–898 (1992)

    Article  Google Scholar 

  2. Zhang, J., et al.: Wavelet neural networks for function learning. IEEE Trans. Signal Process 43, 1485–1497 (1995)

    Article  Google Scholar 

  3. Pati, Y.C., Krishnaprasad, P.S.: Analysis and synthesis of feed-forward neural networks using discrete affine wavelet transformations. IEEE Trans. Neural Networks 4, 73–85 (1993)

    Article  Google Scholar 

  4. Baskshi, B.R., Stepphanopoulous: Wavelet-net: A Multiresolution, Hierarchical Neural Network with Localization Learning. American Institute Chemical, Engineering Journal 39, 57–81 (1993)

    Google Scholar 

  5. Gao, X.P., Zhang, B.: Interval-wavelets neural networks (I) —theory and implements. Journal of software 9, 217–221 (1998)

    Google Scholar 

  6. Gao, X.P., Zhang, B.: Interval-wavelets Neural Networks (II) –Properties and Experiment. Journal of software 9, 246–250 (1998)

    Google Scholar 

  7. Barrett, R., Berry, M., et al.: Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM, Philadelphia (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gao, X., Zhang, J. (2005). A Novel Orthonormal Wavelet Network for Function Learning. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_44

Download citation

  • DOI: https://doi.org/10.1007/11539087_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28323-2

  • Online ISBN: 978-3-540-31853-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics