Title
Distance metric learning for soft subspace clustering in composite kernel space
Abstract
Soft subspace clustering algorithms have been successfully used for high dimensional data in recent years. However, the existing algorithms often utilize only one distance function to evaluate the distance between data items on each feature, which cannot deal with datasets with complex inner structures. In this paper, a composite kernel space (CKS) is constructed based on a set of basis kernels and a novel framework of soft subspace clustering is proposed by integrating distance metric learning in the CKS. Two soft subspace clustering algorithms, i.e., entropy weighting fuzzy clustering in CKS for kernel space (CKS-EWFC-K) and feature space (CKS-EWFC-F) are thus developed. In both algorithms, the prototype in the feature space is mapped into the CKS by multiple simultaneous mappings, one mapping for each cluster, which is distinct from existing kernel-based clustering algorithms. By evaluating the distance on each feature in the CKS, both CKS-EWFC-K and CKS-EWFC-F learn the distance function adaptively during the clustering process. Experimental results have demonstrated that the proposed algorithms in general outperform classical clustering algorithms and are immune to ineffective kernels and irrelevant features in soft subspace.
Year
DOI
Venue
2016
10.1016/j.patcog.2015.10.018
Pattern Recognition
Keywords
Field
DocType
Fuzzy clustering,Soft subspace clustering,Composite kernel space,Distance metric learning
k-medians clustering,Hierarchical clustering,Fuzzy clustering,Clustering high-dimensional data,Pattern recognition,Correlation clustering,Metric (mathematics),FLAME clustering,Artificial intelligence,Cluster analysis,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
52
C
0031-3203
Citations 
PageRank 
References 
21
0.63
29
Authors
7
Name
Order
Citations
PageRank
Jun Wang11529.49
Zhaohong Deng264735.34
Kup-Sze Choi352647.41
Yizhang Jiang438227.24
Xiaoqing Luo5713.57
Fu Lai Chung6153486.72
Shitong Wang71485109.13