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The Study of the Robust Learning Algorithm for Neural Networks

  • Shigenobu Yamawaki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4252)

Abstract

In this paper, we propose the robust learning algorithm for neural networks. The suggested algorithm is obtaining the expanded Kalman filter in the Krein space. We show that this algorithm can be applied to identify the nonlinear system in the presence of the observed noise and system noise.

Keywords

Neural Network Nonlinear System Recurrent Neural Network Impulse Response Function System Noise 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Chen, S., Billings, S.A., Grant, P.M.: Non-linear system identification using neural networks. INT. J. CONTROL 51(6), 1191–1214 (1990)MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Bishop, C.M.: Neural Networks for Pattern Recognition. Clarendon, OxfordGoogle Scholar
  3. 3.
    Williams, R.J., Zipser, D.: A Learning Algorithm for Continually Running Fully Recurrent Neural Networks. Neural Computation 1, 270–280 (1989)CrossRefGoogle Scholar
  4. 4.
    Yamawaki, S.: A study of Learning Algorithm for Expanded Neural Networks. In: Proc. KES 2002, pp. 358–363 (2002)Google Scholar
  5. 5.
    Kalman, R.E.: A new approach to linear filtering and prediction problem. J. Basic Eng. 82, 35–45 (1960)Google Scholar
  6. 6.
    Hassibi, B., Sayed, A.H., Kailath, T.: Linear Estimation in Krein Spaces Part I & Part II. IEEE Tran. A.C 41(1), 18–33 & 34–49 (1996)MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Shigenobu Yamawaki
    • 1
  1. 1.Department of Electric and Electronic Engineering, School of Science and EngineeringKinki UniversityOsakaJapan

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