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Graph-Based Soft-Balanced Fuzzy Clustering

delete2023-06-01
delete6
PRE
AI
C
Chaodie Liu
聂
聂飞平 (Feiping Nie) *
R
Rong Wang
X
Xuelong Li
DOI:10.1109/TFUZZ.2022.3218371delete
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摘要

摘要

En 中文
Spectral clustering have attracted more and more attention due to their well-defined mathematical frameworks and superior performance. However, there still exist two limitations to be solved: 1) most spectral clustering methods consist of two independent stages, which may cause unpredictable deviation of obtained clustering results from the genuine ones and lead to severe information loss and performance degradation; 2) spectral clustering methods employ the hard clustering mode, which lacks interpretability for data points in the boundary area belonging to multiple clusters. To simultaneously address these challenging issues for spectral clustering, we propose a graph-based soft-balanced fuzzy clustering (GBFC) model. Specifically, we explicitly preserve the nonnegative property of the clustering indicator matrix to enhance the interpretability of clustering results. Moreover, row normalization is imposed on the cluster indicator matrix to show the membership of each data point to different clusters. Additionally, a novel balanced constraint is designed to regularize the clustering results and constrain the size of clusters. We can directly obtain the clustering assignments without any post-processing, and the limitations of the previous two-stage clustering framework can be effectively addressed. Extensive experiments performed on both synthetic datasets and real world datasets demonstrate the superiority and effectiveness of the proposed algorithm compared with several state-of-the-art methods.
Keyword:
Clustering algorithms
Clustering methods
Optimization
Laplace equations
Data models
Partitioning algorithms
Optics
Fuzzy clustering
graph clustering
soft-balanced

期刊

IEEE Transactions on Fuzzy Systems 封面图
IEEE Transactions on Fuzzy Systems
IF:
11.9
论文数:
5.0K
被引数:
2.9W

机构

N
Northwestern Polytechnical University
学者数:
4.6W
论文数: 3.7W
被引数: 5.3W
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