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Generalized noise clustering as a robust fuzzy c-M-estimators model

机译:广义噪声聚类作为鲁棒的模糊c-M估计器模型

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R.N. Dave's (1991) noise clustering (NC) algorithm has been generalized in an earlier work where the noise distance /spl delta/ 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.
机译:R.N. Dave(1991)的噪声聚类(NC)算法已在较早的工作中得到了推广,其中噪声距离/ spl delta /可以针对不同的特征向量采用不同的值。在此基础上,证明了NC算法生成的隶属度是两个项的乘积,一个是负责数据划分的原始模糊c均值(FCM)隶属度,另一个是实现模式的广义可能隶属度寻求效果,并赋予鲁棒性。结果表明,可以将多种鲁棒的M估计器合并到广义NC算法中,例如,Huber,Hampel,Cauchy,Tukey biweight和Andrew's正弦。还将广义NC算法与最近引入的混合c均值和抗噪声FCM技术进行了比较。

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