Joint L1/2-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction.

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 algori...

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Published in:BioMed Research International Vol. 2017; pp. 1 - 15
Main Authors: Feng, Chun-Mei, Gao, Ying-Lian, Liu, Jin-Xing, Wang, Juan, Wang, Dong-Qin, Wen, Chang-Gang
Format: algorithm equations & formulas research Journal Article
Published: Wiley-Blackwell 4/2/2017
Online Access:View this record in EBSCOhost
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      dt: 4/2/2017
      vid: 2017
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      pub: Wiley-Blackwell
      place: Malden, Massachusetts
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        122257290
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        10.1155/2017/5073427
        122257290
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        atl: Joint L1/2-Norm Constraint and Graph-Laplacian PCA Method for Feature Extraction.
      aug:
        au:
          Feng, Chun-Mei
          Gao, Ying-Lian
          Liu, Jin-Xing
          Wang, Juan
          Wang, Dong-Qin
          Wen, Chang-Gang
        affil: School of Information Science and Engineering, Qufu Normal University, Rizhao 276826, China
      sug:
        subj:
          Genes
          Bioinformatics Evaluation
          Graphics
          Gene Expression
          Sequence Analysis
          Human
          Funding Source
      ab: 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.
      pubtype: Academic Journal
      doctype:
        algorithm
        equations & formulas
        research
        Journal Article
      ougenre: Article
    language: English
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