Title
Robust L1-norm two-dimensional collaborative representation-based projection for dimensionality reduction
Abstract
Collaborative representation-based projection (CRP) is a well-known dimensionality reduction technique, which has been proved to have better performance than sparse representation-based projection (SRP) in the fields of recognition and computer vision. However, classical CRP is sensitive to noises and outliers since its objective function is based on L2-norm, and it will suffer from the curse of dimensionality as it is used for images processing. In this paper, a novel CRP model, named L1-norm two-dimensional collaborative representation-based projection (L1-2DCRP) and an efficient iterative algorithm to solve it are proposed. Different from conventional CRP, the optimal problem in our proposed model is a L1-norm-based maximization and the vector data is extended to matrix date. The proposed algorithm is theoretically proved to be monotonously convergent, and more robust to noises and outliers since L1-norm is used. Experimental results on CMU Multi-PIE, COIL20, FERET and ORL face databases validate the effectiveness of L1-2DCRP compared with several state-of-the-art approaches.
Year
DOI
Venue
2020
10.1016/j.image.2019.115684
Signal Processing: Image Communication
Keywords
Field
DocType
Collaborative representation-based projection (CRP),L1-2DCRP,L1-norm,Face recognition,Dimensionality reduction
Computer vision,Dimensionality reduction,Pattern recognition,Matrix (mathematics),Iterative method,FERET,Computer science,Sparse approximation,Outlier,Curse of dimensionality,Artificial intelligence,Maximization
Journal
Volume
ISSN
Citations 
81
0923-5965
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Lulu He101.69
Jimin Ye2466.56
Jianwei E301.69