Title
Correntropy-based dual graph regularized nonnegative matrix factorization with Lp smoothness for data representation
Abstract
Nonnegative matrix factorization methods have been widely used in many applications in recent years. However, the clustering performances of such methods may deteriorate dramatically in the presence of non-Gaussian noise or outliers. To overcome this problem, in this paper, we propose correntropy-based dual graph regularized NMF with LP smoothness (CDNMFS) for data representation. Specifically, we employ correntropy instead of the Euclidean norm to measure the incurred reconstruction error. Furthermore, we explore the geometric structures of both the input data and the feature space and impose an Lp norm constraint to obtain an accurate solution. In addition, we introduce an efficient optimization scheme for the proposed model and present its convergence analysis. Experimental results on several image datasets demonstrate the superiority of the proposed CDNMFS method.
Year
DOI
Venue
2022
10.1007/s10489-021-02826-0
Applied Intelligence
Keywords
DocType
Volume
NMF, Correntropy, Smoothness, L norm, Dual graph, Geometric structures, Convergence
Journal
52
Issue
ISSN
Citations 
7
0924-669X
0
PageRank 
References 
Authors
0.34
15
7
Name
Order
Citations
PageRank
Zhenqiu Shu100.34
Zonghui Weng200.34
Zhengtao Yu346069.08
Congzhe You400.68
Zhiyu Liu51610.55
Songze Tang600.34
Xiaojun Wu735652.89