Title
A new linear discriminant analysis algorithm based on L1-norm maximization and locality preserving projection.
Abstract
Generic L2-norm-based linear discriminant analysis (LDA) is sensitive to outliers and only captures global structure information of sample points. In this paper, a new LDA-based feature extraction algorithm is proposed to integrate both global and local structure information via a unified L1-norm optimization framework. Unlike generic L2-norm-based LDA, the proposed algorithm explicitly incorporates the local structure information of sample points and is robust to outliers. It overcomes the problem of the singularity of within-class scatter matrix as well. Experiments on several popular datasets demonstrate the effectiveness of the proposed algorithm.
Year
DOI
Venue
2018
10.1007/s10044-017-0594-y
Pattern Anal. Appl.
Keywords
Field
DocType
Feature extraction, Linear discriminant analysis, Local information, L1-norm, L2-norm, Pattern classification
Locality,Singularity,Artificial intelligence,Scatter matrix,Pattern recognition,Outlier,Algorithm,Feature extraction,Linear discriminant analysis,Norm (mathematics),Maximization,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
21
3
1433-755X
Citations 
PageRank 
References 
0
0.34
32
Authors
4
Name
Order
Citations
PageRank
Di Zhang1365.84
Xueqiang Li2474.54
Jiazhong He3366.14
Minghui Du49711.63