Gradient radial basis function networks for nonlinear and nonstationary time series prediction

IEEE Transactions on Neural Networks

Volumn 7, Issue 1, 1996, Pages 190-194

  Chng, E S ^a   Chen, S ^b   Mulgrew, B ^c  

^a RIKEN   (Japan)

^b UNIVERSITY OF PORTSMOUTH   (United Kingdom)

^c UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CHAOS THEORY; COMPUTER SIMULATION; VECTORS;

GRADIENT RADIAL BASIS FUNCTION NETWORKS; NONLINEAR TIME SERIES PREDICTION; NONSTATIONARY TIME SERIES PREDICTION; ORTHOGONAL LEAST SQUARES;

FEEDFORWARD NEURAL NETWORKS;

EID: 0029733768     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.478403     Document Type: Article

References (11)

1. M. A. S. Potts and D. S. Broomhead, "Time series prediction with a radial basis function neural network," SPIE Adaptive Signal Processing, vol. 1565, pp. 255-266, 1991.
2. S. Chen, C. F. N. Cowan, and P. M. Grant, "Orthogonal least squares learning algorithm for radial basis function networks," IEEE Trans. Neural Networks, vol. 2, pp. 302-309, 1991.
3. M. Casdagli, "Nonlinear prediction of chaotic time-series," Physica D, vol. 35, pp. 335-356, 1989.
4. D. S. Broomhead and D. Lowe, "Multivariable functional interpolation and adaptive networks," Complex Syst., vol. 2, pp. 321-355, 1988,
5. E. Levin, "Hidden control neural architecture modeling of nonlinear time varying systems and its applications," IEEE Trans. Neural Networks, vol. 4, pp. 109-116, 1993.
6. G. E. P. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control. Oakland, CA: Holden-Day, 1976.
7. M. J. D. Powell, "Radial basis functions for multivariable interpolation: A review," in Algorithms for Approximation, J. C. Mason and M. G. Cox, Eds. Oxford, UK: Oxford University Press, 1987, pp. 143-167.
8. J. Park and I. W. Sandberg, "Universal approximation using radial basis function networks," Neural Computa., vol. 3, pp. 246-257, 1991.
9. G. H. Golub and C. Reinsch, "Singular value decomposition and least squares solutions," Numer. Math., vol. 14, pp. 403-420, 1970.
10. R. R. Hocking, "The analysis and selection of variables in linear regression," Biometrics, vol. 32, pp. 1-49, 1976.
11. F. Takens, "Detecting strange attractors in turbulence," in Lecture Notes in Mathematics. New York: Springer-Verlag, 1980, pp. 366-381.