Title
Low-Rank 2-D Neighborhood Preserving Projection for Enhanced Robust Image Representation
Abstract
2-D neighborhood preserving projection (2DNPP) uses 2-D images as feature input instead of 1-D vectors used by neighborhood preserving projection (NPP). 2DNPP requires less computation time than NPP. However, both NPP and 2DNPP use the L₂ norm as a metric, which is sensitive to noise in data. In this paper, we proposed a novel NPP method called low-rank 2DNPP (LR-2DNPP). This method divided the input data into a component part that encoded low-rank features, and an error part that ensured the noise was sparse. Then, a nearest neighbor graph was learned from the clean data using the same procedure as 2DNPP. To ensure that the features learned by LR-2DNPP were optimal for classification, we combined the structurally incoherent learning and low-rank learning with NPP to form a unified model called discriminative LR-2DNPP (DLR-2DNPP). By encoding the structural incoherence of the learned clean data, DLR-2DNPP could enhance the discriminative ability for feature extraction. Theoretical analyses on the convergence and computational complexity of LR-2DNPP and DLR-2DNPP were presented in details. We used seven public image databases to verify the performance of the proposed methods. The experimental results showed the effectiveness of our methods for robust image representation. IEEE
Year
DOI
Venue
2019
10.1109/TCYB.2018.2815559
IEEE Transactions on Cybernetics
Keywords
Field
DocType
2-D neighborhood preserving projection (2DNPP),Convergence,Image representation,image representation,low-rank,Noise measurement,Optimization,Principal component analysis,robust feature extraction,Robustness,Sparse matrices
Pattern recognition,Noise measurement,Robustness (computer science),Feature extraction,Nearest neighbor graph,Artificial intelligence,Discriminative model,Mathematics,Machine learning,Sparse matrix,Encoding (memory),Computational complexity theory
Journal
Volume
Issue
ISSN
49
5
21682267
Citations 
PageRank 
References 
10
0.44
0
Authors
6
Name
Order
Citations
PageRank
Yuwu Lu119612.50
Zhihui Lai2120476.03
Xuelong Li315049617.31
W K Wong415116.60
Yuan Chun526532.08
David Zhang67365360.85