Abstract
In this paper a new method of parameters estimation for neuro-fuzzy system with parameterized consequents is presented. The novelty of the learning algorithm consists of an application of the deterministic annealing method integrated with ε-insensitive learning. This method allows to improve neuro-fuzzy modeling quality in the sense of an increase in generalization ability and outliers robustness. To demonstrate performance of the proposed procedure two numerical experiments concerning benchmark problems of prediction and identification are given.
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References
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum, New York (1981)
Box, G.E.P., Jenkins, G.M.: Time Series Analysis. In: Forecasting and Control, Holden-Day, San Francisco (1976)
Czabański, R.: Automatic Fuzzy If-Then Rules Extraction From Numerical Data (in Polish) Ph.D. Thesis, Gliwice (2003)
Czogała, E., Łęski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Springer, Heidelberg (2000)
Kashyap, R.L., Ho, Y.C.: An Algorithm for Linear Inequalities and its Applications. IEEE Trans. Elec. Comp. 14, 683–688 (1965)
Jang, J.-S.R.: ANFIS: Adaptive-Network-Based Fuzzy Inference System. IEEE Trans. on Systems Man and Cybernetics 23, 665–685 (1993)
Łęski, J.: ε-Insensitive Learning Techniques for Approximate Reasoning Systems (Invited Paper). Int. J. of Computational Cognition 1, 21–77 (2003)
Łęski, J., Czogała, T.: A Fuzzy System with ε-Insensitive Learning of Premises and Consequences of If-Then Rules. Int. J. Appl. Math. Comput. Sci. 15, 257–273 (2005)
Mitra, S., Hayashi, Y.: Neuro-Fuzzy Rule Generation: Survey in Soft Computing Framework. IEEE Trans. Neural Networks 3, 748–768 (2000)
Nowland, S., Hinton, G.: Simplifying Neural Networks by Soft Weight-Sharing. Neural Comput. 4, 473–493 (1992)
Rementeria, S., Olabe, X.B.: Predicting Sunspots with a Self-Configuring Neural System. In: Proc. 8th Int. Conf. Information Processing Management Uncertainty Knowledge-Based Systems, pp. 1184–1190 (2000)
Rose, K.: Deterministic Annealing for Clustering, Compression, Classification, Regression and Related Optimization Problems. Proceedings IEEE 11, 2210–2239 (1998)
Tong, H., Lim, K.S.: Threshold Autoregression, Limit Cycle and Cyclical Data. Journal of The Royal Statistical Society B 42, 245–292 (1980)
Weigend, A.S., Huberman, B.A., Rumelhart, D.E.: Predicting the Future: a Connectionist Approach. Int. J. Neural Syst. 1, 193–209 (1990)
Waterhouse, S.R., Robinson, A.J.: Non-linear Prediction of Acoustic Vectors Using Hierarchical Mixtures of Experts. Advances of Neural Information Processing Systems MIT Press Cambridge MA 7, 835–842 (1995)
Xie, X.L., Beni, G.: A Validity Measure for Fuzzy Clustering. IEEE Trans. Pattern Analysis and Machine Intelligence 13, 841–847 (1991)
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Czabański, R. (2006). Deterministic Annealing Integrated with ε-Insensitive Learning in Neuro-fuzzy Systems. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_24
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DOI: https://doi.org/10.1007/11785231_24
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