# RBF NETWORK COMBINED WITH WAVELET DENOISING FOR SARDINE CATCHES FORECASTING

### Nibaldo Rodriguez, Broderick Crawford, Eleuterio Yañez

#### Abstract

This paper deals with time series of monthly sardines catches in the north area of Chile. The proposed method combines radial basis function neural network (RBFNN) with wavelet denoising algorithm. Wavelet denoising is based on stationary wavelet transform with hard thresholding rule and the RBFNN architecture is composed of linear and nonlinear weights, which are estimated by using the separable nonlinear least square method. The performance evaluation of the proposed forecasting model showed that a 93% of the explained variance was captured with a reduced parsimony.

#### References

- Coifman, R. and Donoho, D. (1995). Translation-invariant denoising, wavelets and statistics. In Springer Lecture Notes in Statistics. vol. 103, pp. 125-150.
- Donoho, D. (1995). De-noising by soft-thresholding. In IEEE Trans. on Information theory. vol. 41, no. 3, pp. 613-627.
- Hagan, M. and Menhaj, M. (1994). Training feed-forward networks with marquardt algorithm. In IEEE Trans. Neural networks. vol. 5, no. 6, pp. 1134-1139.
- J. Gutierrez, C. Silva, E. Y. N. R. and Pulido, I. (2007). Monthly catch forecasting of anchovy engraulis ringens in the north area of chile: Nonlinear univariate approach. In Fisher Research. vol. 86, pp. 188-200.
- K. Hornik, M. S. and White, H. (1989). Multilayer feedforward networks are universal approximators. In Neural network. vol. 2, no. 5, pp. 359-366.
- Karayiannis, N. B. (1999). Reformulated radial basis neural networks trained by gradient descent. In IEEE Trans. Neural networks. vol. 10, no. 3, pp. 188-200.
- Nason, G. and Silverman, B. (1995). Translation-invariant denoising, wavelets and statistics. In Springer Lecture Notes in Statistics. vol. 103, pp. 181-3000.
- Pesquet, J.-C., K. H. and Carfantan, H. (1995). Timeinvariant orthonormal wavelet representations. In IEEE Trans. on Signal Processing. vol. 44, no. 8, pp. 1964-1996.
- Serre, D. (2002). Matrices: Theory and applications. Springer Verlag, New York.
- Stergiou, K. I. (1996). Prediction of the mullidae fishery in the easterm mediterranean 24 months in advance. In Fisher Research. vol.9, pp. 67-74.
- Stergiou, K. I. and Christou, E. (1996). Prediction of the mullidae fishery in the easterm mediterranean 24 months in advance. In Fisher. Research. vol. 25, pp. 105-138.

#### Paper Citation

#### in Harvard Style

Rodriguez N., Crawford B. and Yañez E. (2008). **RBF NETWORK COMBINED WITH WAVELET DENOISING FOR SARDINE CATCHES FORECASTING** . In *Proceedings of the Third International Conference on Software and Data Technologies - Volume 3: ICSOFT,* ISBN 978-989-8111-53-1, pages 308-311. DOI: 10.5220/0001893403080311

#### in Bibtex Style

@conference{icsoft08,

author={Nibaldo Rodriguez and Broderick Crawford and Eleuterio Yañez},

title={RBF NETWORK COMBINED WITH WAVELET DENOISING FOR SARDINE CATCHES FORECASTING},

booktitle={Proceedings of the Third International Conference on Software and Data Technologies - Volume 3: ICSOFT,},

year={2008},

pages={308-311},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001893403080311},

isbn={978-989-8111-53-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Third International Conference on Software and Data Technologies - Volume 3: ICSOFT,

TI - RBF NETWORK COMBINED WITH WAVELET DENOISING FOR SARDINE CATCHES FORECASTING

SN - 978-989-8111-53-1

AU - Rodriguez N.

AU - Crawford B.

AU - Yañez E.

PY - 2008

SP - 308

EP - 311

DO - 10.5220/0001893403080311