Comments on "An analytical algorithm for generalized low-rank approximations of matrices"

  • Authors:
  • Yafeng Hu;Hairong Lv;Xianda Zhang

  • Affiliations:
  • Department of Automation, Tsinghua University, Beijing 100084, China;Department of Automation, Tsinghua University, Beijing 100084, China;Department of Automation, Tsinghua University, Beijing 100084, China

  • Venue:
  • Pattern Recognition
  • Year:
  • 2008

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Abstract

Low rank approximations of matrices have been widely used in pattern recognition and machine learning. Based on a sequence of matrices, a generalized low rank approximation problem was presented and an iterative scheme was given by Liang and Shi recently proposed an analytical scheme for this approximation problem. In this paper, we identify the weakness in their scheme and prove that their algorithm is incorrect.