Joint sparse matrix regression and nonnegative spectral analysis for two-dimensional unsupervised feature selection

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

12 Scopus Citations
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  • Haoliang Yuan
  • Junyu Li
  • Loi Lei Lai
  • Yuan Yan Tang


Original languageEnglish
Pages (from-to)119-133
Journal / PublicationPattern Recognition
Online published8 Jan 2019
Publication statusPublished - May 2019


Unsupervised feature selection is a challenging task to gain relevant features for improving learning performance due to lack of the label information. Traditional unsupervised feature selection methods are often vector-based, which may ignore the location information of original matrix element. In this paper, we propose a joint sparse matrix regression and nonnegative spectral analysis model for two-dimensional unsupervised feature selection. To obtain proper label information under unsupervised condition, we adopt a nonnegative spectral clustering technique to yield the clustering labels as the pseudo class labels. To directly select the relevant feature on matrix data, we construct a regression relationship between matrix data and the pseudo class labels by deploying left and right regression matrices. Our proposed method can integrate the merits of both sparse matrix regression and nonnegative spectral clustering for feature selection. An efficient optimization algorithm is designed to solve our proposed optimization problem. Extensive experimental results on clustering and classification demonstrate the effectiveness of our proposed method.

Research Area(s)

  • Nonnegative spectral analysis, Sparse matrix regression, Two-dimensional feature selection, Unsupervised learning