Readability or performance - the Janus-faced nature of models

Fuzzy models present a singular Janus-faced: 1) they are knowledge-based software environments constructed from a collection of linguistic IF-THEN rules; and 2) they realize nonlinear mappings which have interesting mathematical properties like "low-order interpolation", "smooth cooperation between local approximators" and "universal function approximation". Within this second vision, fuzzy models can be taken as additional members in the large family of multi-expert networks which already count as members: radial basis functions, GRNN, CMAC, B-splines network, locally weighted learning or regression, kernel regression estimator, Jordan and Jacob's mixture of experts, etc. In this paper we focus on this second vision trying to point out what remains original in the fuzzy approach as compared with the other members, then describing some learning strategies of these fuzzy models and presenting comparative experimental results on a classical time series prediction benchmark.

[1]  James C. Bezdek,et al.  An application of the c-varieties clustering algorithms to polygonal curve fitting , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[2]  Jun Zhou,et al.  Hierarchical fuzzy control , 1991 .

[3]  Adam Krzyzak,et al.  On radial basis function nets and kernel regression: Statistical consistency, convergence rates, and receptive field size , 1994, Neural Networks.

[4]  John Moody,et al.  Fast Learning in Networks of Locally-Tuned Processing Units , 1989, Neural Computation.

[5]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[6]  Léon Bottou,et al.  Local Learning Algorithms , 1992, Neural Computation.

[7]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[8]  Kenneth J. Hunt,et al.  Local Model Architectures for Nonlinear Modelling and Control , 1995 .

[9]  W. Cleveland,et al.  Regression by local fitting: Methods, properties, and computational algorithms , 1988 .

[10]  T. A. Johansen,et al.  Semi-empirical modeling of non-linear dynamical systems , 1994 .

[11]  Martin Brown,et al.  Neurofuzzy adaptive modelling and control , 1994 .

[12]  Hugues Bersini,et al.  Recurrent fuzzy systems , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[13]  Stefan Schaal,et al.  From Isolation to Cooperation: An Alternative View of a System of Experts , 1995, NIPS.

[14]  Tomaso A. Poggio,et al.  Regularization Theory and Neural Networks Architectures , 1995, Neural Computation.

[15]  Geoffrey E. Hinton,et al.  Adaptive Mixtures of Local Experts , 1991, Neural Computation.

[16]  John C. Platt A Resource-Allocating Network for Function Interpolation , 1991, Neural Computation.

[17]  J. Mendel Fuzzy logic systems for engineering: a tutorial , 1995, Proc. IEEE.

[18]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.