Title
Projective robust nonnegative factorization
Abstract
Nonnegative matrix factorization (NMF) has been successfully used in many fields as a low-dimensional representation method. Projective nonnegative matrix factorization (PNMF) is a variant of NMF that was proposed to learn a subspace for feature extraction. However, both original NMF and PNMF are sensitive to noise and are unsuitable for feature extraction if data is grossly corrupted. In order to improve the robustness of NMF, a framework named Projective Robust Nonnegative Factorization (PRNF) is proposed in this paper for robust image feature extraction and classification. Since learned projections can weaken noise disturbances, PRNF is more suitable for classification and feature extraction. In order to preserve the geometrical structure of original data, PRNF introduces a graph regularization term which encodes geometrical structure. In the PRNF framework, three algorithms are proposed that add a sparsity constraint on the noise matrix based on L-1/2 norm, L-1 norm, and L-2,L-1 norm, respectively. Robustness and classification performance of the three proposed algorithms are verified with experiments on four face image databases and results are compared with state-of-the-art robust NMF-based algorithms. Experimental results demonstrate the robustness and effectiveness of the algorithms for image classification and feature extraction. (C) 2016 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2016
10.1016/j.ins.2016.05.001
INFORMATION SCIENCES
Keywords
Field
DocType
Robust,Nonnegative matrix factorization,Graph regularization,Face recognition
Facial recognition system,Subspace topology,Pattern recognition,Feature extraction,Robustness (computer science),Factorization,Non-negative matrix factorization,Artificial intelligence,Norm (mathematics),Contextual image classification,Machine learning,Mathematics
Journal
Volume
ISSN
Citations 
364
0020-0255
3
PageRank 
References 
Authors
0.38
0
6
Name
Order
Citations
PageRank
Yuwu Lu119612.50
Zhihui Lai2120476.03
Xu Yong3211973.51
You Jane4363.40
Xuelong Li515049617.31
Yuan Chun626532.08