An Iterative Fuzzy Prototype Induction Algorithm

Lazy learning methods have been proved useful when dealing with problems in which the learning examples have multiple local functions. These methods are related with the selection, for training purposes, of a subset of examples, ancl making some linear combination to generate the output. On the other hand, neural network are eager learning methods that have a high nonlinear behavior. In this work, a lazy method is proposed for Radial Basis Neural Networks in order to improve both, the generalization capability of those networks for some specific domains, and the performance of classical lazy learning mnethods. A comparison with some lazy mnethods, and RBNN trained as usual is made, and the new approach shows good results in two test domains, a real life problem and an artificial domain.

[1]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[2]  Jonathan Lawry,et al.  A c-fuzzy means algorithm for prototype induction , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[3]  Belur V. Dasarathy,et al.  Nearest neighbor (NN) norms: NN pattern classification techniques , 1991 .

[4]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[5]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[6]  David G. Stork,et al.  Pattern Classification , 1973 .

[7]  Jonathan Lawry,et al.  Linguistic Modelling Using a semi-naive Bayes Framework , 2002 .

[8]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[9]  T. P. Martin,et al.  Logic Programming and Soft Computing , 1998 .

[10]  Inés María Galván,et al.  Deferring the Learning for Better Generalization in Radial Basis Neural Networks , 2001, ICANN.

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

[12]  Brian R. Gaines,et al.  Fuzzy and Probabilistic Uncertainty Logics , 1978, Inf. Control..

[13]  David W. Aha,et al.  Instance-Based Learning Algorithms , 1991, Machine Learning.

[14]  David W. Aha,et al.  A Review and Empirical Evaluation of Feature Weighting Methods for a Class of Lazy Learning Algorithms , 1997, Artificial Intelligence Review.

[15]  Jonathan Lawry,et al.  A mass assignment theory of the probability of fuzzy events , 1996, Fuzzy Sets Syst..

[16]  Andrew W. Moore,et al.  Locally Weighted Learning , 1997, Artificial Intelligence Review.

[17]  Didier Dubois,et al.  Possibility Theory - An Approach to Computerized Processing of Uncertainty , 1988 .

[18]  David G. Stork,et al.  Pattern Classification (2nd ed.) , 1999 .

[19]  Trevor P Martin,et al.  A mass assignment method for prototype induction , 1999 .