Initialization by Selection for Multi Library Wavelet Neural Network Training

Wajdi bellil, Mohamed Othmani, Chokri Ben Amar

2007

Abstract

This paper presents an original architecture of Wavelet Neural Network based on multi Wavelets activation function and uses a selection method to determine a set of best wavelets whose centers and dilation parameters are used as initial values for subsequent training library WNN for one dimension and two dimensions function approximation. Every input vector will be considered as unknown functional mapping and then it will be approximated by the network.

References

  1. S. Mallat, 1998. A wavelet tour of signal processing. academic press.
  2. Q. Zang, 1997. Wavelet Network in Nonparametric Estimation. IEEE Trans. Neural Networks, 8(2):227-236.
  3. Q. Zang et al., 1992. Wavelet networks. IEEE Trans. Neural Networks, vol. 3, pp. 889-898.
  4. H. Bourlard, Y. Kamp, 1988. Autoassociation by multilayer perceptrons and singular values decomposition, Biol. Cybernet. 59 (1988) 291-294.
  5. A. Averbuch, D. Lazar, 1996. Image compression using wavelet transform and multiresolution decomposition, IEEE Trans. Image Process. 5 (1) 4-15.
  6. G. Basil, J. Jiang, 1997. Experiments on neural network implementation of LBG vector quantization, Research Report, Depart of Computer Studies, Loughborough University.
  7. G. Candotti, S. Carrato et al., 1994. Pyramidal multiresolution source coding for progressive sequences, IEEE Trans. Consumer Electronics 40 (4) 789-795.
  8. S. Carrato, 1992. Neural networks for image compression, Neural Networks: Adv. and Appl. 2 ed., Gelenbe Pub, North-Holland, Amsterdam, pp. 177-198.
  9. O.T.C. Chen et al., 1994. Image compression using self-organisation networks, IEEE Trans. Circuits Systems For Video Technol. 4 (5) (1994) 480-489.
  10. M.F. Barnsley, L.P. 1993. Hurd, Fractal Image Compression, AK Peters Ltd.
  11. Y. Oussar, 1998. Réseaux d'ondelettes et réseaux de neurones pour la modélisation statique et dynamique de processus, Thèse de doctorat, Université Pierre et Marie Curie.
  12. C. Foucher and G. Vaucher, 2001. Compression d'images et réseaux de neurones, revue Valgo n°01-02, Ardèche.
  13. Q. Zhang, 1997. Using Wavelet Network in Nonparametric Estimation, IEEE Trans. Neural Network, Vol. 8, pp.227-236.
  14. C. Aouiti, M.A Alimi, and A. Maalej, 2002. Genetic Designed Beta Basis Function Neural Networks for Multivariable Functions Approximation, Systems Analysis, Modeling, and Simulation, Special Issue on Advances in Control and Computer Engineering, vol. 42, no. 7, pp. 975-1005.
  15. C. Ben Amar, W. Bellil and A. Alimi. 2005-2006 Beta Function and its Derivatives: A New Wavelet Family. Transactions on Systems, Signals & Devices Volume 1, Number 3.
  16. D. L. Donoho and I. M. Johnstone, 1995. Adapting to unknown smoothness via wavelet shrinkage, J. Amer. Statist. Assoc., vol. 90, no. 432, pp. 1200-1224, Dec.
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Paper Citation


in Harvard Style

bellil W., Othmani M. and Ben Amar C. (2007). Initialization by Selection for Multi Library Wavelet Neural Network Training . In Proceedings of the 3rd International Workshop on Artificial Neural Networks and Intelligent Information Processing - Volume 1: ANNIIP, (ICINCO 2007) ISBN 978-972-8865-86-3, pages 30-37. DOI: 10.5220/0001638600300037


in Bibtex Style

@conference{anniip07,
author={Wajdi bellil and Mohamed Othmani and Chokri Ben Amar},
title={Initialization by Selection for Multi Library Wavelet Neural Network Training},
booktitle={Proceedings of the 3rd International Workshop on Artificial Neural Networks and Intelligent Information Processing - Volume 1: ANNIIP, (ICINCO 2007)},
year={2007},
pages={30-37},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001638600300037},
isbn={978-972-8865-86-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Workshop on Artificial Neural Networks and Intelligent Information Processing - Volume 1: ANNIIP, (ICINCO 2007)
TI - Initialization by Selection for Multi Library Wavelet Neural Network Training
SN - 978-972-8865-86-3
AU - bellil W.
AU - Othmani M.
AU - Ben Amar C.
PY - 2007
SP - 30
EP - 37
DO - 10.5220/0001638600300037