Title
Horizontal and Vertical Nuclear Norm-Based 2DLDA for Image Representation
Abstract
2-D linear discriminant analysis (2DLDA) has been widely used in pattern recognition and image classification. 2DLDA selects discriminative features from the up and left corner of images. However, 2DLDA uses the Frobenius norm (F-norm), which is sensitive to noise or outliers in data, as a metric. In this paper, we propose a novel framework, called horizontal and vertical nuclear norm-based 2DLDA (HVNN-2DLDA) for image representation. In the proposed framework, HVNN-2DLDA methods (i.e., HNN-2DLDA and VNN-2DLDA) are proposed, and both use the nuclear norm as a criterion. The nuclear norm can provide more structure and global information for the reconstruction of noisy images. HNN-2DLDA and VNN-2DLDA represent images in the row and column directions, respectively. In addition, by combining the row and column directions, we propose a bilateral nuclear norm-based 2DLDA method called BNN-2DLDA. The advantage of BNN-2DLDA over HNN-2DLDA and VNN-2DLDA is that an image sample can be represented by both the row and the column directions instead of only the row or column direction. HVNN-2DLDA learns a set of local optimal projection vectors by maximizing the ratio of the nuclear norm of the between-class scatter matrix and the nuclear norm of the within-class scatter matrix. To verify the robustness and recognition performance in image classification of HVNN-2DLDA, six public image databases are used for experiments. The experimental results demonstrate the effectiveness and the feasibility of the proposed framework.
Year
DOI
Venue
2019
10.1109/tcsvt.2018.2822761
IEEE Transactions on Circuits and Systems for Video Technology
Keywords
Field
DocType
Robustness,Principal component analysis,Optimization,Image classification,Measurement,Dimensionality reduction,Linear programming
Dimensionality reduction,Pattern recognition,Computer science,Robustness (computer science),Matrix norm,Artificial intelligence,Linear discriminant analysis,Contextual image classification,Discriminative model,Principal component analysis,Scatter matrix
Journal
Volume
Issue
ISSN
29
4
1051-8215
Citations 
PageRank 
References 
3
0.37
0
Authors
6
Name
Order
Citations
PageRank
Yuwu Lu119612.50
Yuan Chun226532.08
Zhihui Lai3120476.03
Xuelong Li415049617.31
David Zhang57365360.85
W K Wong615116.60