A New Rule Selection Procedure for Fuzzy-Neural Modelling
System Identification, Volume # 15 | Part# 1
Authors
Pizzileo, Barbara; Li, Kang; Irwin, George W.
Identifier
10.3182/20090706-3-FR-2004.00250
Index Terms
Nonlinear System Identification; Neural Networks; Machine Learning and Data Mining
Abstract
In identification of complex dynamic systems using fuzzy neural networks, one of the main issues is the curse-of-dimensionality, which makes it difficult to quickly compute all the parameters associated with the network with all possible inputs and rules being included. In the literature this issue has been addressed by the selection of either the inputs or the rules. This is due to the fact that not all possible inputs or rules have to be necessarily included because of the correlations between them. Adding unnecessary inputs or rules simply increases the model complexity and worsens the network generalization performance. Selecting the best set of inputs or rules is a combinational problem and can be computationally too expensive. In this paper, the problem is solved by first proposing a refinement procedure for rule selection. The algorithm is then adapted and integrated with prior input selection to further improve the model accuracy. Simulation results confirm the efficacy of the method.
References
REFERENCES J. Yen, and L. Wang. Simplifying fuzzy rule-based models using orthogonal transformation methods. IEEE Trans. Systems, Man and Cybern-Pt B: Cybern, volume 29, no.1, pages 13-23, 1999. X. Hong, C. J. Harris, and S. Chen. Robust neurofuzzy rule base knowledge extraction and estimation using subspace decomposition combined with regularization and D-optimality. IEEE Trans Syst Man Cybern-Pt B: Cybern, volume 34, pages 598-608, 2004. X. Hong and C. J. Harris. A neurofuzzy network knowl- edge extraction and extended Gram-Schmidt algorithm for model subspace decomposition. IEEE Trans Fuzzy Syst, volume 11, pages 528-541, 2003. K. Li, J. Peng and G. W. Irwin. A fast nonlinear model identi¯cation method. IEEE Trans on Automat. Contr., volume 50, number 8, pages 1211-1216, 2005. B. Pizzileo, K. Li and G. W. Irwin. A fast fuzzy neural modeling method for nonlinear dynamic system. LNCS, Springer Berlin, vol. 4491, pp. 496-504, July, 2007. A. Sherstinsky and R. W. Picard. On the e±ciency of the orthogonal least squares training method for Radial Basis Function networks. IEEE Trans. on Neural Networks, volume 1, pages 195-200, 1996. K.Z Mao and S.A. Billings. Algorithms for minimal model structure detection in non linear dynamical system identi¯cation. Int. J. of Contr., volume 68, number 2, pages 311-330, 1997. K. Li, J. Peng and E. W. Bai. A two-stage algorithm for identi¯cation of nonlinear dynamic systems. Automat- ica, volume 42, number 7, pages 1189-1197, 2006. B. Pizzileo, K. Li, and G. W. Irwin. A fast method for neural network modelling and re¯nement. Accepted for a Special Issue of IJMIC, 2008. B. Pizzileo, and K. Li. A new fast algorithm for fuzzy rule selection. IEEE Int Conf on Fuzzy Systems, pp. 1-6, Imperial College, London, 23-26 July 2007. M. Setnes, and R. Babuska. Rule Base Reduction: Some Comments on the Use of Orthogonal Transforms. IEEE Trans. Systems, Man and Cybern-Pt C: applications and reviews, volume 31, no. 2, pages 199-206, May 2001. X. Hong and C. J. Harris . Variable selection algorithm for the construction of MIMO operating point dependent neurofuzzy networks. IEEE Trans Fuzzy Syst, volume 9, pages 88-101, 2001.
