Skip to main content

Analysis on Generalization Error of Faulty RBF Networks with Weight Decay Regularizer

  • Conference paper
Advances in Neuro-Information Processing (ICONIP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5507))

Included in the following conference series:

Abstract

In the past two decades, the use of the weight decay regularizer for improving the generalization ability of neural networks has been extensively investigated. However, most existing results focus on the fault-free neural networks only. This papers extends the analysis on the generalization ability for networks with multiplicative weight noise. Our analysis result allows us not only to estimate the generalization ability of a faulty network, but also to select a good model from various settings. Simulated experiments are performed to verify theoretical result.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Moody, J.E.: Note on generalization, regularization, and architecture selection in nonlinear learning systems. In: First IEEE-SP Workshop on Neural Networks for Signal Processing, pp. 1–10 (1991)

    Google Scholar 

  2. Chen, S., Hong, X., Harris, C.J., Sharkey, P.M.: Sparse modelling using orthogonal forward regression with press statistic and regularization. In: IEEE Trans. Systems, Man and Cybernetics, Part B, pp. 898–911 (2004)

    Google Scholar 

  3. Bernier, J.L., Ortega, J., Rodriguez, M.M., Rojas, I., Prieto, A.: An accurate measure for multilayer perceptron tolerance to weight deviations. Neural Processing Letters 10(2), 121–130 (1999)

    Article  Google Scholar 

  4. Leung, C.S., Young, G.H., Sum, J., Kan, W.K.: On the regularization of forgetting recursive least square. IEEE Transactions on Neural Networks 10, 1482–1486 (1999)

    Article  Google Scholar 

  5. Anitha, D., Himavathi, S., Muthuramalingam, A.: Feedforward neural network implementation in fpga using layer multiplexing for effective resource utilization. IEEE Transactions on Neural Networks 18, 880–888 (2007)

    Article  Google Scholar 

  6. Moussa, M., Savich, A.W., Areibi, S.: The impact of arithmetic representation on implementing mlp-bp on fpgas: A study. IEEE Transactions on Neural Networks 18, 240–252 (2007)

    Article  Google Scholar 

  7. Kaneko, T., Liu, B.: Effect of coefficient rounding in floating-point digital filters. IEEE Trans. on Aerospace and Electronic Systems AE-7, 995–1003 (1970)

    Google Scholar 

  8. Fedorov, V.V.: Theory of optimal experiments. Academic Press, London (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Leung, C.S., Sum, P.F., Wang, H. (2009). Analysis on Generalization Error of Faulty RBF Networks with Weight Decay Regularizer. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03040-6_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03040-6_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03039-0

  • Online ISBN: 978-3-642-03040-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics