Joint L1/2-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction. (2nd April 2017)

• Record Type: Journal Article
• Authors: Feng, Chun-Mei; Gao, Ying-Lian; Liu, Jin-Xing; Wang, Juan; Wang, Dong-Qin; Wen, Chang-Gang
• Other Names: Yang Jialiang Academic Editor.
• Is Part Of: BioMed research international. Volume 2017(2017)
• Publication Date: 2017-04-02
• Subjects: Medicine -- Periodicals; Biology -- Periodicals; Biotechnology -- Periodicals; Life sciences -- Periodicals; 610.5
• DOI: 10.1155/2017/5073427
• Languages: English
• ISSNs: 2314-6133

Abstract

Abstract : 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 L 1 / 2 constraint (L 1 / 2 gLPCA) on error function for feature (gene) extraction. The error function based on L 1 / 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.