Fuzzy c-varieties/elliptotypes clustering in reproducing kernel Hilbert space

作者: Jacek M. Łęski

DOI: 10.1016/S0165-0114(03)00184-2

关键词:

摘要: Abstract Fuzzy clustering algorithms are successfully applied to a wide variety of problems, such as: pattern recognition, image analysis, modeling and so on. The C-Means (FCM) method is one the most popular methods based on minimization criterion function. However, performance FCM good only when data set contains clusters that approximately same size shape. In this paper, simple idea will be used, overcome problem. original input (data) space mapped into high (possibly infinite)-dimensional feature F through some nonlinear mapping. structures modeled by linear varieties or elliptotypes. This called Kernel C-Varieties/Elliptotypes algorithm. Performance new algorithm experimentally compared with fuzzy c-varieties/elliptotypes using synthetic datasets real-life datasets.

参考文章(37)
Jacek Łęski, An ε-insensitive approach to fuzzy clustering International Journal of Applied Mathematics and Computer Science. ,vol. 11, pp. 993- 1007 ,(2001)
J. Łęski, Robust possibilistic clustering Archives of Control Sciences. ,vol. 10, pp. 141- 155 ,(2000)
Bernhard Schökopf, Alex J. Smola, Sparse Greedy Matrix Approximation for Machine Learning international conference on machine learning. pp. 911- 918 ,(2000) , 10.5555/645529.657980
Julius T. Tou, Rafael C. Gonzalez, Pattern recognition principles ,(1974)
Donald Gustafson, William Kessel, Fuzzy clustering with a fuzzy covariance matrix conference on decision and control. ,vol. 17, pp. 761- 766 ,(1978) , 10.1109/CDC.1978.268028
Krzysztof Jajuga, L 1 -norm based fuzzy clustering Fuzzy Sets and Systems. ,vol. 39, pp. 43- 50 ,(1991) , 10.1016/0165-0114(91)90064-W
R.J. Hathaway, J.C. Bezdek, Yingkang Hu, Generalized fuzzy c-means clustering strategies using L/sub p/ norm distances IEEE Transactions on Fuzzy Systems. ,vol. 8, pp. 576- 582 ,(2000) , 10.1109/91.873580
L. Bobrowski, J.C. Bezdek, c-means clustering with the l/sub l/ and l/sub infinity / norms systems man and cybernetics. ,vol. 21, pp. 545- 554 ,(1991) , 10.1109/21.97475
A.M. Bensaid, L.O. Hall, J.C. Bezdek, L.P. Clarke, M.L. Silbiger, J.A. Arrington, R.F. Murtagh, Validity-guided (re)clustering with applications to image segmentation IEEE Transactions on Fuzzy Systems. ,vol. 4, pp. 112- 123 ,(1996) , 10.1109/91.493905