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Statistical control of RBF-like networks for classification

  • Part III: Learning: Theory and Algorithms
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Artificial Neural Networks — ICANN'97 (ICANN 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1327))

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Abstract

Incremental Net Pro (IncNet Pro) with local learning feature and statistically controlled growing and pruning of the network is introduced. The architecture of the net is based on RBF networks. Extended Kalman Filter algorithm and its new fast version is proposed and used as learning algorithm. IncNet Pro is similar to the Resource Allocation Network described by Platt in the main idea of the expanding the network. The statistical novel criterion is used to determine the growing point. The Bi-radial functions are used instead of radial basis functions to obtain more flexible network.

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References

  1. J. V. Candy. Signal processing: The model based approach. McGraw-Hill, New York, 1986.

    Google Scholar 

  2. W. Duch and G. H. F. Diercksen. Feature space mapping as a universal adaptive system. Computer Physics Communications, 87:341–371, 1994.

    Google Scholar 

  3. W. Duch and N. Jankowski. New neural transfer functions. Jour. of Applied Math. and Computer Science. submitted.

    Google Scholar 

  4. S. E. Fahlman and C. Lebiere. The cascade-correlation learning architecture. In D. S. Touretzky, editor, NIPS. Morgan Kamufmann, 1990.

    Google Scholar 

  5. E. Fiesler. Comparative bibliography of ontogenic neural networks. In Proceedings of the International Conference on Artificial Neural Networks, 1994.

    Google Scholar 

  6. F. Girosi and T. Poggio. Networks and the best approximation property. AI Lab. Memo, MIT, 1989.

    Google Scholar 

  7. B. Hassibi and D. G. Stork. Second order derivatives for network pruning: Optimal brain surgeon. In NIPS, 1993.

    Google Scholar 

  8. V. Kadirkamanathan. A statistical inference based growth criterion for the RBF network. In Proc. IEEE. Workshop on Neural Networks for Signal Processing, 1994.

    Google Scholar 

  9. V. Kadirkanianathan and M. Niraujan. A function estimation approach to sequential learning with neural networks. Neural Computation, 5(6):954–975, 1993.

    Google Scholar 

  10. Y. LeCan, J. Denker, S. Solla., R. E. Howard, and L. D. Ja.ckel. Optimal brain damage. In D. S. Touretzky, editor, Advances in Neural Information Processing Systems II. Morgan Kauffman, 1990.

    Google Scholar 

  11. J. Platt. A resource-allocating network for function interpolation. Neural Computation, 3:213–225, 1991.

    Google Scholar 

  12. T. Poggio and F. Girosi. Network for approximation and learning. Proc. IEEE, 78:1481–1497, 1990.

    Google Scholar 

  13. M. J. D. Powell. Radial basis functions for multivariable interpolation: A review. In J. C. Mason and M. G. Cox, editors, Algorithms for Approximation of Functions and Data, pages 143–167. Oxford University Press, 1987.

    Google Scholar 

  14. Y. Shang and W. Wah. Global optimization for neural network training. IEEE ] Computer, 29, 1996.

    Google Scholar 

  15. B. Šter and A. Dobnikar. Neural networks in medical diagnosis: Comparison with other methods. In A. B. B. et al., editor, Proceedings of the, International Conference EANN '96, pages 427–430, 1996.

    Google Scholar 

  16. A. S. Weigend, D. E. Rumelhart, and B. A. Huberman. Back-propagation, weight elimination and time series prediction. In Proceedings of the 1990 Connectionist Models Summer School, pages 65–80. Morgan Kaufmann, 1990.

    Google Scholar 

  17. L. Yingwei, N. Sundararajan, and P. Saratchandran. A sequential learning scheine for function approximation using minimal radial basis function neural networks. Neural Computations, 9:461–478, 1997.

    Google Scholar 

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Wulfram Gerstner Alain Germond Martin Hasler Jean-Daniel Nicoud

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© 1997 Springer-Verlag Berlin Heidelberg

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Jankowski, N., Kadirkamanathan, V. (1997). Statistical control of RBF-like networks for classification. In: Gerstner, W., Germond, A., Hasler, M., Nicoud, JD. (eds) Artificial Neural Networks — ICANN'97. ICANN 1997. Lecture Notes in Computer Science, vol 1327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020185

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  • DOI: https://doi.org/10.1007/BFb0020185

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63631-1

  • Online ISBN: 978-3-540-69620-9

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