Links between PPCA and subspace methods for complete Gaussian density estimation

  • Authors:
  • Chong Wang;Wenyuan Wang

  • Affiliations:
  • Dept. of Autom., Tsinghua Univ., Beijing;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2006

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Abstract

High-dimensional density estimation is a fundamental problem in pattern recognition and machine learning areas. In this letter, we show that, for complete high-dimensional Gaussian density estimation, two widely used methods, probabilistic principal component analysis and a typical subspace method using eigenspace decomposition, actually give the same results. Additionally, we present a unified view from the aspect of robust estimation of the covariance matrix