Title :
Reliable dynamical systems for canonical variate computation
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Minnesota Duluth, Duluth, MN, USA
fDate :
June 30 2010-July 2 2010
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.
Keywords :
matrix algebra; statistical analysis; canonical correlation analysis; canonical variate computation; diagonal matrix; merit functions; reliable dynamical systems; statistical tool; triangular matrices; Biochemical analysis; Constraint optimization; Control systems; Data engineering; Data mining; Eigenvalues and eigenfunctions; Pattern analysis; Polynomials; Principal component analysis; Reliability engineering; Rayleigh quotient; Two-set canonical correlation analysis; constrained optimization; polynomial dynamical systems;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530911
