Improved covariance estimation for Gustafson-Kessel clustering

IEEE International Conference on Fuzzy Systems

Volumn 2, Issue , 2002, Pages 1081-1085

  Babuska R ^a   Van Der Veen, P J ^a   Kaymak, U ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY COVARIANCE MATRIX; GUSTAFSON-KESSEL CLUSTERING ALGORITHM; TAKAGI-SUGENO FUZZY MODEL;

ALGORITHMS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION;

FUZZY SETS;

EID: 0036454126     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. D.E. Gustafson and W.C. Kessel. Fuzzy clustering with a fuzzy covariance matrix. In Proc. IEEE CDC, pages 761-766, San Diego, CA, USA, 1979.
2. R.N. Dave. Boundary detection through fuzzy clustering. In IEEE International Conference on Fuzzy Systems, pages 127-134, San Diego, USA, 1992.
3. R. Babuška. Fuzzy Modeling for Control. Kluwer Academic Publishers, Boston, USA, 1998.
4. T. Takagi and M. Sugeno. Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, 15(1):116-132, 1985.
5. J.C. Dunn. A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J. Cybern., 3(3):32-57, 1974.
6. J.C. Bezdek. Pattern Recognition with Fuzzy Objective Function. Plenum Press, New York, 1981.
7. S. Tadjudin and D.A. Landgrebe. Covariance estimation with limited training samples. IEEE Transactions on Geoscience and Remote Sensing, 37(4):2113-2118, July 1999.
8. J.F. Friedman. Regularize discriminant analysis. J.R. Statist. Soc., 84:17-42, 1989.
9. R. Babuška, H.B. Verbruggen, and H.J.L. van Can. Fuzzy modeling of enzymatic penicillin-G conversion. Engineering Applications of Artificial Intelligence, 12(1):79-92, 1999.