• Media type: Text; Report; E-Book
  • Title: Estimation of the signal subspace without estimation of the inverse covariance matrix
  • Contributor: Panov, Vladimir [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2010
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1546
  • Keywords: 62H99 ; dimension reduction -- non-Gaussian components -- NGCA ; 60G35 ; article ; 62G05
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: Let a high-dimensional random vector $\vec{X}$ can be represented as a sum of two components - a signal $\vec{S}$, which belongs to some low-dimensional subspace $\mathcal{S}$, and a noise component $\vec{N}$. This paper presents a new approach for estimating the subspace $\mathcal{S}$ based on the ideas of the Non-Gaussian Component Analysis. Our approach avoids the technical difficulties that usually exist in similar methods - it doesn't require neither the estimation of the inverse covariance matrix of $\vec{X}$ nor the estimation of the covariance matrix of $\vec{N}$.
  • Access State: Open Access