Simultaneous Subspace Clustering and Cluster Number Estimating Based on Triplet Relationship

doi:10.1109/TIP.2019.2903294

CASIA OpenIR > 智能感知与计算研究中心

	Simultaneous Subspace Clustering and Cluster Number Estimating Based on Triplet Relationship
	Liang, Jie 1; Yang, Jufeng 1; Cheng, Ming-Ming 1; Rosin, Paul L.2; Wang, Liang3
发表期刊	IEEE TRANSACTIONS ON IMAGE PROCESSING
ISSN	1057-7149
	2019-08-01
卷号	28 期号:8 页码:3973-3985
通讯作者	Yang, Jufeng(yangjufeng@nankai.edu.cn)
摘要	In this paper, we propose a unified framework to discover the number of clusters and group the data points into different clusters using subspace clustering simultaneously. Real data distributed in a high-dimensional space can be disentangled into a union of low-dimensional subspaces, which can benefit various applications. To explore such intrinsic structure, state-of-the-art subspace clustering approaches often optimize a self-representation problem among all samples, to construct a pairwise affinity graph for spectral clustering. However, a graph with pairwise similarities lacks robustness for segmentation, especially for samples which lie on the intersection of two subspaces. To address this problem, we design a hyper-correlation-based data structure termed as the triplet relationship, which reveals high relevance and local compactness among three samples. The triplet relationship can be derived from the self-representation matrix, and be utilized to iteratively assign the data points to clusters. Based on the triplet relationship, we propose a unified optimizing scheme to automatically calculate clustering assignments. Specifically, we optimize a model selection reward and a fusion reward by simultaneously maximizing the similarity of triplets from different clusters while minimizing the correlation of triplets from the same cluster. The proposed algorithm also automatically reveals the number of clusters and fuses groups to avoid over-segmentation. Extensive experimental results on both synthetic and real-world datasets validate the effectiveness and robustness of the proposed method.
关键词	Subspace clustering triplet relationship estimating the number of clusters hyper-graph clustering
DOI	10.1109/TIP.2019.2903294
关键词[WOS]	SEGMENTATION ; ALGORITHM ; SELECTION
收录类别	SCI
语种	英语
资助项目	NSFC[61876094] ; NSFC[61620106008] ; NSFC[61572264] ; Natural Science Foundation of Tianjin, China[18JCYBJC15400] ; Natural Science Foundation of Tianjin, China[18ZXZNGX00110] ; Open Project Program of the National Laboratory of Pattern Recognition (NLPR) ; Fundamental Research Funds for the Central Universities ; NSFC[61876094] ; NSFC[61620106008] ; NSFC[61572264] ; Natural Science Foundation of Tianjin, China[18JCYBJC15400] ; Natural Science Foundation of Tianjin, China[18ZXZNGX00110] ; Open Project Program of the National Laboratory of Pattern Recognition (NLPR) ; Fundamental Research Funds for the Central Universities
项目资助者	NSFC ; Natural Science Foundation of Tianjin, China ; Open Project Program of the National Laboratory of Pattern Recognition (NLPR) ; Fundamental Research Funds for the Central Universities
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号	WOS:000472609200009
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/26019
专题	智能感知与计算研究中心
通讯作者	Yang, Jufeng
作者单位	1.Nankai Univ, Coll Comp Sci, Tianjin 300350, Peoples R China 2.Cardiff Univ, Sch Comp Sci & Informat, Cardiff CF24 3AA, S Glam, Wales 3.Chinese Acad Sci, CAS Ctr Excellence Brain Sci & Intelligence Techn, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liang, Jie,Yang, Jufeng,Cheng, Ming-Ming,et al. Simultaneous Subspace Clustering and Cluster Number Estimating Based on Triplet Relationship[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING,2019,28(8):3973-3985.
APA	Liang, Jie,Yang, Jufeng,Cheng, Ming-Ming,Rosin, Paul L.,&Wang, Liang.(2019).Simultaneous Subspace Clustering and Cluster Number Estimating Based on Triplet Relationship.IEEE TRANSACTIONS ON IMAGE PROCESSING,28(8),3973-3985.
MLA	Liang, Jie,et al."Simultaneous Subspace Clustering and Cluster Number Estimating Based on Triplet Relationship".IEEE TRANSACTIONS ON IMAGE PROCESSING 28.8(2019):3973-3985.