Title
Orthogonal Sparse Linear Discriminant Analysis
Abstract
Linear discriminant analysis (LDA) is a linear feature extraction approach, and it has received much attention. On the basis of LDA, researchers have done a lot of research work on it, and many variant versions of LDA were proposed. However, the inherent problem of LDA cannot be solved very well by the variant methods. The major disadvantages of the classical LDA are as follows. First, it is sensitive to outliers and noises. Second, only the global discriminant structure is preserved, while the local discriminant information is ignored. In this paper, we present a new orthogonal sparse linear discriminant analysis (OSLDA) algorithm. The k nearest neighbour graph is first constructed to preserve the locality discriminant information of sample points. Then, L-2,L-1-norm constraint on the projection matrix is used to act as loss function, which can make the proposed method robust to outliers in data points. Extensive experiments have been performed on several standard public image databases, and the experiment results demonstrate the performance of the proposed OSLDA algorithm.
Year
DOI
Venue
2018
10.1080/00207721.2018.1424964
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
Linear discriminant analysis (LDA), L-2,L-1-norm, nearest neighbour, orthogonal sparse linear discriminant analysis (OSLDA)
Data point,Nearest neighbour,Mathematical optimization,Locality,Pattern recognition,Discriminant,Outlier,Projection (linear algebra),Feature extraction,Artificial intelligence,Linear discriminant analysis,Mathematics
Journal
Volume
Issue
ISSN
49
4
0020-7721
Citations 
PageRank 
References 
2
0.36
37
Authors
5
Name
Order
Citations
PageRank
Zhonghua Liu111511.12
Gang Liu281.77
Jie-xin Pu351.93
Xiaohong Wang420.36
Haijun Wang5559.23