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基于核方法的改进可能聚类模型
引用本文:武小红,周建江.基于核方法的改进可能聚类模型[J].上海大学学报(英文版),2008,12(2):136-140.
作者姓名:武小红  周建江
作者单位:[1]College of Information'Science and Technoiogy, Nanjing University of Aeronautics and Astronaaltics, Nanjing 210016, P. R. China [2]School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P. R. China
基金项目:Project supported by the 15th Plan for National Defence Preventive Research Project (Grant No.413030201)
摘    要:

关 键 词:fuzzy  clustering  kernel  methods  possibilistic  c-means  (PCM)  kernel  modified  possibilistic  c-means  (KMPCM).  核方法  改进  聚类模型  kernel  methods  based  model  fuzzy  clustering  Numerical  experiments  show  kernel  function  input  data  feature  space  nonlinear  pattern  distance  Different  algorithm  extension
收稿时间:2006-09-20
修稿时间:2006年9月20日

Modified possibilistic clustering model based on kernel methods
Xiao-hong Wu,Jian-jiang Zhou.Modified possibilistic clustering model based on kernel methods[J].Journal of Shanghai University(English Edition),2008,12(2):136-140.
Authors:Xiao-hong Wu  Jian-jiang Zhou
Institution:1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P. R. China;School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P. R. China
2. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P. R. China
Abstract:A novel model of fuzzy clustering using kernel methods is proposed. This model is called kernel modified possibilisticc-means (KMPCM) model. The proposed model is an extension of the modified possibilistic c-means (MPCM) algorithm byusing kernel methods. Different from MPCM and fuzzy c-means (FCM) model which are based on Euclidean distance, theproposed model is based on kernel-induced distance. Furthermore, with kernel methods the input data can be mappedimplicitly into a high-dimensional feature space where the nonlinear pattern now appears linear. It is unnecessary to docalculation in the high-dimensional feature space because the kernel function can do it. Numerical experiments show thatKMPCM outperforms FCM and MPCM.
Keywords:fuzzy clustering  kernel methods  possibilistic c-means (PCM)  kernel modified possibilistic c-means (KMPCM)  
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