TY - GEN
T1 - Reliable dynamical systems for canonical variate computation
AU - Hasan, Mohammed A.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Constrained optimization
KW - Polynomial dynamical systems
KW - Rayleigh quotient
KW - Two-set canonical correlation analysis
UR - http://www.scopus.com/inward/record.url?scp=77957763804&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77957763804&partnerID=8YFLogxK
U2 - 10.1109/acc.2010.5530911
DO - 10.1109/acc.2010.5530911
M3 - Conference contribution
AN - SCOPUS:77957763804
SN - 9781424474264
T3 - Proceedings of the 2010 American Control Conference, ACC 2010
SP - 4869
EP - 4874
BT - Proceedings of the 2010 American Control Conference, ACC 2010
PB - IEEE Computer Society
ER -