Robust classification using l2,1-norm based regression model

  • Authors:
  • Chuan-Xian Ren;Dao-Qing Dai;Hong Yan

  • Affiliations:
  • Center for Computer Vision and Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, PR China and Department of Electric Engineering, City University of Hong Kong, Kowloon, Hong Kon ...;Center for Computer Vision and Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, PR China;Department of Electric Engineering, City University of Hong Kong, Kowloon, Hong Kong and School of Electrical and Information Engineering, University of Sydney, NSW 2006, Australia

  • Venue:
  • Pattern Recognition
  • Year:
  • 2012

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Abstract

A novel classification method using @?"2","1-norm based regression is proposed in this paper. The @?"2","1-norm based loss function is robust to outliers or large variations distributed in the given data, and the @?"2","1-norm regularization term selects correlated samples across the whole training set with grouped sparsity. A probabilistic interpretation under the multiple task learning framework presents theoretical foundation for the optimal solution. Complexity analysis of our proposed classification algorithm is also presented. Several benchmark data sets including facial images and gene expression data are used for evaluating the effectiveness of the new proposed algorithm, and the results show competitive performance particularly better than those using dummy matrix as the response variables. This result is very useful since it is important for selecting appropriate response variables in classification oriented regression models.