Stability and Convergence of Principal Component Learning Algorithms

  • Authors:
  • Wei-Yong Yan

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 1998

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Abstract

This paper is concerned with the differential equation approximating the subspace learning algorithm for extracting principal components. Two issues are fully resolved. First, all the stable equilibria are found. Second, the global convergence rate is explicitly obtained. The whole treatment is without the nonsingularity assumption on the covariance matrix.