Reliable dynamical systems for canonical variate computation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Canonical correlation analysis is a statistical tool for investigating the presence of any patterns that simultaneously exist in two different data sets and compute the correlation between associated patterns. In this paper, dynamical systems for computing the canonical correlations and canonical variates between two data sets are derived. These systems are developed by optimizing constrained and unconstrained merit functions. To extract the actual individual canonical variates, some of these systems are weighted by a positive definite diagonal matrix, while others employed upper triangular matrices.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Pages4869-4874
Number of pages6
ISBN (Print)9781424474264
DOIs
StatePublished - Jan 1 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Keywords

  • Constrained optimization
  • Polynomial dynamical systems
  • Rayleigh quotient
  • Two-set canonical correlation analysis

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