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  • Research Article
  • Open Access

Incremental Local Linear Fuzzy Classifier in Fisher Space

  • 1,
  • 1, 2Email author,
  • 3 and
  • 1, 4
EURASIP Journal on Advances in Signal Processing20092009:360834

https://doi.org/10.1155/2009/360834

  • Received: 4 August 2008
  • Accepted: 25 March 2009
  • Published:

Abstract

Optimizing the antecedent part of neurofuzzy system is an active research topic, for which different approaches have been developed. However, current approaches typically suffer from high computational complexity or lack of ability to extract knowledge from a given set of training data. In this paper, we introduce a novel incremental training algorithm for the class of neurofuzzy systems that are structured based on local linear classifiers. Linear discriminant analysis is utilized to transform the data into a space in which linear discriminancy of training samples is maximized. The neurofuzzy classifier is then built in the transformed space, starting from the simplest form (a global linear classifier). If the overall performance of the classifier was not satisfactory, it would be iteratively refined by incorporating additional local classifiers. In addition, rule consequent parameters are optimized using a local least square approach. Our refinement strategy is motivated by LOLIMOT, which is a greedy partition algorithm for structure training and has been successfully applied in a number of identification problems. The proposed classifier is compared to several benchmark classifiers on a number of well-known datasets. The results prove the efficacy of the proposed classifier in achieving high performance while incurring low computational effort.

Keywords

  • Linear Discriminant Analysis
  • High Computational Complexity
  • Linear Classifier
  • Refinement Strategy
  • Local Classifier

Publisher note

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Authors’ Affiliations

(1)
Faculty of Electrical Engineering, K.N. Toosi University of Technology, P. O. Box 16315-1355, Tehran, Iran
(2)
Unité de Génie Biophysique et Médical, Groupe de Recherche sur l'Analyse Multimodale de la Fonction Cérébrale (GRAMFC), Faculté de Médecine, 3 rue des Louvels, 80036 AMIENS cedex, France
(3)
School of Information Technology and Engineering, University of Ottawa, 800 King Edward Avenue, Ottawa, ON, Canada, K1N 6N5
(4)
Department of Electrical and Computer Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, Canada, M5B 2K3

Copyright

© Armin Eftekhari et al. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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