TY - GEN
T1 - Generalized noise clustering as a robust fuzzy c-M-estimators model
AU - Davé, Rajesh N.
AU - Sen, Sumit
N1 - Publisher Copyright:
© 1998 IEEE.
PY - 1998
Y1 - 1998
N2 - R.N. Dave's (1991) noise clustering (NC) algorithm has been generalized in an earlier work where the noise distance δ is allowed to take different values for different feature vectors. Based on that, it was shown that the membership generated by the NC algorithm is a product of two terms, one is the original fuzzy c-means (FCM) membership responsible for data partitioning and the other is a generalized possibilistic membership that achieves a mode seeking effect, and imparts robustness. It is shown that a variety of robust M-estimators can be incorporated into the generalized NC algorithm, for example Huber, Hampel, Cauchy, Tukey biweight, and Andrew's sine. The generalized NC algorithm is also compared with the recently introduced mixed c-means and a noise resistant FCM technique.
AB - R.N. Dave's (1991) noise clustering (NC) algorithm has been generalized in an earlier work where the noise distance δ is allowed to take different values for different feature vectors. Based on that, it was shown that the membership generated by the NC algorithm is a product of two terms, one is the original fuzzy c-means (FCM) membership responsible for data partitioning and the other is a generalized possibilistic membership that achieves a mode seeking effect, and imparts robustness. It is shown that a variety of robust M-estimators can be incorporated into the generalized NC algorithm, for example Huber, Hampel, Cauchy, Tukey biweight, and Andrew's sine. The generalized NC algorithm is also compared with the recently introduced mixed c-means and a noise resistant FCM technique.
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U2 - 10.1109/NAFIPS.1998.715576
DO - 10.1109/NAFIPS.1998.715576
M3 - Conference contribution
AN - SCOPUS:0344006411
T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
SP - 256
EP - 260
BT - 1998 Conference of the North American Fuzzy Information Processing Society, NAFIPS 1998
A2 - Hall, Lawrence O.
A2 - Bezdek, Jim
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1998 Conference of the North American Fuzzy Information Processing Society, NAFIPS 1998
Y2 - 20 August 1998 through 21 August 1998
ER -