Geodesic
Improving the Generalization Ability of Neuro-Fuzzy Systems by e-Insensitive Learning
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 437-447.

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A new learning method tolerant of imprecision is introduced and used in neuro-fuzzy modelling. The proposed method makes it possible to dispose of an intrinsic inconsistency of neuro-fuzzy modelling, where zero-tolerance learning is used to obtain a fuzzy model tolerant of imprecision. This new method can be called e-insensitive learning, where, in order to fit the fuzzy model to real data, the e-insensitive loss function is used. e-insensitive learning leads to a model with minimal Vapnik-Chervonenkis dimension, which results in an improved generalization ability of this system. Another advantage of the proposed method is its robustness against outliers. This paper introduces two approaches to solving e-insensitive learning problem. The first approach leads to a quadratic programming problem with bound constraints and one linear equality constraint. The second approach leads to a problem of solving a system of linear inequalities. Two computationally efficient numerical methods for e-insensitive learning are proposed. Finally, examples are given to demonstrate the validity of the introduced methods.
Keywords: fuzzy systems, neural networks, tolerant learning, generalization control, robust methods
Mots-clés : informatyka 
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     author = {{\L}\k{e}ski, J.},
     title = {Improving the {Generalization} {Ability} of {Neuro-Fuzzy} {Systems} by {e-Insensitive} {Learning}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {437--447},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a11/}
}
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Łęski, J. Improving the Generalization Ability of Neuro-Fuzzy Systems by e-Insensitive Learning. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 437-447. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a11/