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Kernelized Mahalanobis Distance for Fuzzy Clustering

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成果类型:
期刊论文
作者:
Zeng, Shan;Wang, Xiuying;Duan, Xiangjun;Zeng, Sen;Xiao, Zuyin;...
通讯作者:
Zeng, S.;Wang, X.
作者机构:
[Xiao, Zuyin; Zeng, Sen; Wang, Xiuying; Zeng, Shan] Wuhan Polytech Univ, Coll Math & Comp Sci, Wuhan 430200, Peoples R China.
[Feng, David; Wang, Xiuying] Univ Sydney, Sch Comp Sci, Sydney, NSW 2006, Australia.
[Feng, David] Shanghai Jiao Tong Univ, Med X Res Inst, Shanghai 200240, Peoples R China.
通讯机构:
[Zeng, S.] C
[Wang, X.] S
College of Mathematics and Computer Science, China
School of Computer Science, Australia
语种:
英文
关键词:
Clustering algorithms;Kernel;Measurement;Covariance matrices;Prototypes;Classification algorithms;Image segmentation;Gustafson-Kessel (GK) fuzzy C-means (FCM);Kernel-based fuzzy clustering;Mahalanobis distance (MD)
期刊:
IEEE Transactions on Fuzzy Systems
ISSN:
1063-6706
年:
2021
卷:
29
期:
10
页码:
3103-3117
基金类别:
This work was supported in part by NSFC-CAAC under Grant U1833119, in part by Hubei Natural Science Foundation for Distinguished Young Scholars (2020), in part by Wuhan Science and Technology Foundation under Grant 2018020401011299, and in part by the National Food and Strategic Reserves Administration Foundation under Grant LQ2018501.
机构署名:
本校为第一机构
院系归属:
数学与计算机学院
摘要:
Data samples of complicated geometry and nonlinear separability are considered as common challenges to clustering algorithms. In this article, we first construct Mahalanobis distance in the kernel space and then propose a novel fuzzy clustering model with a kernelized Mahalanobis distance, namely KMD-FC. The key contributions of KMD-FC include: first, the construction of KMD matrix is innovatively transformed from the Euclidean distance kernel matrix, which is able to effectively avoid the problem of 'curse of dimensionality' posed by explicitl...

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