Method and Application of RBF Network Structure Optimization

Article Preview

Abstract:

The hidden unit number of RBF neural networks directly influences the performances of the whole net. A new strategy to prune the hidden units based on the singular value decomposition (SVD) of matrixes is proposed in the paper. At the basis of a structure involving enough more hidden units, the paper analyzes the outputs corresponding to some training samples with the SVD method and finds out the internal relations of them, then removes redundant ones according to the contribution rate of every hidden unit to the whole network, simplifies the structure of RBF neural network at last. The optimized network has strong generalization ability with simpler structure. At the end of this paper the new strategy is successfully used in the main steam system modeling of power plant and confirmed by simulation experiments.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 472-475)

Pages:

1668-1675

Citation:

Online since:

February 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Haikun Wei. Theory and Method of Neural Network Structure Design[M]. Beijing: National Defense Industry Press, 2005 (In Chinese)

Google Scholar

[2] Ludermir T B, Yamazaki A. and Zanchettin C. An Optimization Methodology for Neural Network Weights and Architectures[J]. IEEE Trans. on Neural Networks, 2006, 17(6):1452-1459

DOI: 10.1109/tnn.2006.881047

Google Scholar

[3] Ming Yang, Xianzhong Liu. Matrix Theory[M]. Wuhan: Huazhong University of Science and Technology Press, 2003 (In Chinese)

Google Scholar

[4] Min Han and Mingming Fan. Multivariate Time Series Prediction by Neural Network Combining SVD[C]. IEEE International Conference on SMC, 2006, 5(8):3884-3889

DOI: 10.1109/icsmc.2006.384737

Google Scholar

[5] Huiwen Wang. Partial Least-Squares Regression Method and Application[M]. Beijing: National Defense Industry Press, 1999 (In Chinese)

Google Scholar

[6] Quangui Fan, Tiezheng Wei, Jun Wang. Equipment and Operation of Thermal Power Plant Boiler[M].Beijing: China Electric Power Press, 2001 (In Chinese)

Google Scholar

[7] Niyogo P and Gorisi F. On the Relationship between Generalization Error, Hypothesis Complexity, and Sample Complexity for Radial Basis Function. Neural Computation, 1996 (8):819-842

DOI: 10.1162/neco.1996.8.4.819

Google Scholar

[8] Nowlan S J. Maximum Likelihood Competitive Learning[J]. Advances in Neural Information Processing Systems, San Mateo, CA. 1989 (2):574-582

Google Scholar

[9] Luanying Zhang, Wanyun Sun. Thermal Power Plant Process Control[M].Beijing: China Electric Power Press, 2000 (In Chinese)

Google Scholar

[10] Lina He, Pu Han. Main Steam Temperature System Modeling Based on PCA and Neural Network: [Master Dissertation]. Baoding: North China Electric Power University, 2009 (In Chinese)

Google Scholar