Joint L12-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction
Joint Authors
Liu, Jin-Xing
Gao, Ying-Lian
Wang, Juan
Feng, Chun-Mei
Wang, Dong-Qin
Wen, Chang-Gang
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-04-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Principal Component Analysis (PCA) as a tool for dimensionality reduction is widely used in many areas.
In the area of bioinformatics, each involved variable corresponds to a specific gene.
In order to improve the robustness of PCA-based method, this paper proposes a novel graph-Laplacian PCA algorithm by adopting L1/2 constraint (L1/2 gLPCA) on error function for feature (gene) extraction.
The error function based on L1/2-norm helps to reduce the influence of outliers and noise.
Augmented Lagrange Multipliers (ALM) method is applied to solve the subproblem.
This method gets better results in feature extraction than other state-of-the-art PCA-based methods.
Extensive experimental results on simulation data and gene expression data sets demonstrate that our method can get higher identification accuracies than others.
American Psychological Association (APA)
Feng, Chun-Mei& Gao, Ying-Lian& Liu, Jin-Xing& Wang, Juan& Wang, Dong-Qin& Wen, Chang-Gang. 2017. Joint L12-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction. BioMed Research International،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1137407
Modern Language Association (MLA)
Feng, Chun-Mei…[et al.]. Joint L12-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction. BioMed Research International No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1137407
American Medical Association (AMA)
Feng, Chun-Mei& Gao, Ying-Lian& Liu, Jin-Xing& Wang, Juan& Wang, Dong-Qin& Wen, Chang-Gang. Joint L12-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction. BioMed Research International. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1137407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1137407