The UD RLS algorithm for training feedforward neural networks

Jarosław Bilski

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 1, page 115-123
  • ISSN: 1641-876X

Abstract

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A new algorithm for training feedforward multilayer neural networks is proposed. It is based on recursive least squares procedures and U-D factorization, which is a well-known technique in filter theory. It will be shown that due to the U-D factorization method, our algorithm requires fewer computations than the classical RLS applied to feedforward multilayer neural network training.

How to cite

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Bilski, Jarosław. "The UD RLS algorithm for training feedforward neural networks." International Journal of Applied Mathematics and Computer Science 15.1 (2005): 115-123. <http://eudml.org/doc/207720>.

@article{Bilski2005,
abstract = {A new algorithm for training feedforward multilayer neural networks is proposed. It is based on recursive least squares procedures and U-D factorization, which is a well-known technique in filter theory. It will be shown that due to the U-D factorization method, our algorithm requires fewer computations than the classical RLS applied to feedforward multilayer neural network training.},
author = {Bilski, Jarosław},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {learning algorithms; neural networks; UD factorization; recursive least squares method},
language = {eng},
number = {1},
pages = {115-123},
title = {The UD RLS algorithm for training feedforward neural networks},
url = {http://eudml.org/doc/207720},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Bilski, Jarosław
TI - The UD RLS algorithm for training feedforward neural networks
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 1
SP - 115
EP - 123
AB - A new algorithm for training feedforward multilayer neural networks is proposed. It is based on recursive least squares procedures and U-D factorization, which is a well-known technique in filter theory. It will be shown that due to the U-D factorization method, our algorithm requires fewer computations than the classical RLS applied to feedforward multilayer neural network training.
LA - eng
KW - learning algorithms; neural networks; UD factorization; recursive least squares method
UR - http://eudml.org/doc/207720
ER -

References

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  1. Abid S., Fnaiech F. and Najim M. (2001): A fast feedforward training algorithm using a modified form of the standard backpropagation algorithm. - IEEE Trans. Neural Netw., Vol. 12, No. 2, pp. 424-434. 
  2. Ampazis N. and Perantonis J. (2002): Two highly efficient second-order algorithms for training feedforward networks. - IEEE Trans. Neural Netw., Vol. 13, No. 5, pp. 1064-1074. 
  3. Azimi-Sadjadi M.R. and Liou R.J. (1992): Fast learning process of multi-layer neural network using recursive least squares method. - IEEE Trans. Signal Process., Vol. 40, No. 2, pp. 443-446. 
  4. Bilski J. (1995): Fast learning procedures for neural networks. - Ph.D. Thesis, AGH University of Science and Technology, (in Polish). 
  5. Bilski J. and Rutkowski L. (1996): The recursive least squares method versus the backpropagation learning algorithms. - Second Conf. Neural Networks and Their Applications, Szczyrk, Poland, pp. 25-31. 
  6. Bilski J. and Rutkowski L. (1998): A fast training algorithm for neural networks. - IEEE Trans. Circuits Syst. II, Vol. 45, No. 6, pp. 749-753, 
  7. Bilski J. and Rutkowski L. (2003): A family of the RLS neural network learning algorithms. - Techn. Report, Dept. Comp. Eng., Technical University of Częstochowa, Poland. 
  8. Bishop C.M. (1995): Neural Networks for Pattern Recognition. -Oxford: Clarendon Press. Zbl0868.68096
  9. Bojarczak O.S.P. and Stodolski M. (1996): Fast second-order learning algorithm for feedforward multilayer neural networks and its application. - Neural Netw. Vol. 9, No. 9, pp. 1583-1596. 
  10. Chen X.- H.Y.G.- A. (1992): Efficient backpropagation learning using optimal learning rate and momentum. - Neural Netw., Vol. 10, No. 3, pp. 517-527. 
  11. Joost M. and Schiffmann W. (1998): Speeding up backpropagation algorithms by using cross-entropy combined with pattern normalization. - Int. J.Uncert. Fuzz. Knowledge-Based Syst., Vol. 6, No. 2, pp. 117-126. Zbl1087.68617
  12. Karayiannis N.B. and Venetsanopoulos A.N. (1993): Efficient Learning Algorithms for Neural Networks (ELEANNE). - IEEE Trans. Syst. Man Cybern., Vol. 23, No. 5, pp. 1372-1383. 
  13. Kitano H. (1994): Neurogenetic learning: an integrated method of designing and training neural networks using genetic algorithms. - Physica D., Vol. 75, No. 1-3, pp. 225-238. Zbl0860.68087
  14. Korbicz J., Obuchowicz A., Uciński D. (1994): Artificial Neural Networks. Fundamentals and Applications. - Warsaw: Akademicka Oficyna Wydawnicza PLJ, (in Polish). 
  15. Lera G. and Pinzolas M. (2002): Neighbourhood based Levenberg-Marquardt algorithm for neural network training. - IEEE Trans. Neural Netw., Vol. l3, No. 5, pp. 1200-1203. 
  16. Leung Ch.S., Tsoi Ah.Ch. and Chan L. W. (2001): Two regularizers for recursive least squared algorithms in feedforward multilayered neural networks. - IEEE Trans. Neural Netw., Vol. 12, No. 6, pp. 1314-1332. 
  17. Moller M. (1993): A scaled conjugate gradient algorithm for fast supervised learning. - Neural Netw., Vol. 6, No. 4, pp. 525-533. 
  18. Perantonis S. and Karras D. (1995): An efficient constrained learning algorithm with momentum acceleration. - Neural Netw., Vol. 8, No. 2, pp. 237-249. 
  19. Rutkowski L. (1994): Adaptive Signal Processing: Theory and Applications. -Warsaw: WNT, (in Polish). 
  20. Strobach P. (1990): Linear Prediction Theory - A Mathematical Basis for Adaptive Systems. - New York: Springer-Verlag. Zbl0727.62093
  21. Sum J., Chan L.W., Leung C.S. and Young G. (1998): Extended Kalman filter-based pruning method for recurrent neural networks. - Neural Comput., Vol. 10, No. 6, pp. 1481-1505. 
  22. Sum J., Leung C., Young G.H. and Kan W. (1999): On the Kalman filtering method in neural-network training and pruning. - IEEE Trans. Neural Netw., Vol. 10, No. 1, pp. 161-166. 
  23. Wellstead P.E. and Zarrop M.B. (1991): Self-Tuning Systems Control and Signal Processing. - Chichester Wiley. Zbl0505.93047
  24. Yao X. (1999): Evolving artificial neural networks. - Proc. IEEE, Vol. 87, No. 9, pp. 1423-1447. 
  25. Zhang Y. and Li R. (1999): A fast U-D factorization-based learning algorithm with applications to nonlinear system modelling and identification. - IEEE Trans. Neural Netw., Vol. 10, No. 4, pp. 930-938. 

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