TY - GEN
T1 - Stable algorithms for multiset canonical correlation analysis
AU - Hasan, Mohammed A.
PY - 2009
Y1 - 2009
N2 - This paper is devoted to the construction of dynamical systems that converge to principal subspaces of multi-set canonical variates using root objective functions. With some modifications, these systems may be converted to new ones that converge to the actual canonical variates. The main important features of two algorithms that have been tested are that the first algorithm converges to the canonical variates corresponding to the canonical correlations of largest magnitudes, while the other converges to the canonical variates corresponding to the largest positive canonical correlations.
AB - This paper is devoted to the construction of dynamical systems that converge to principal subspaces of multi-set canonical variates using root objective functions. With some modifications, these systems may be converted to new ones that converge to the actual canonical variates. The main important features of two algorithms that have been tested are that the first algorithm converges to the canonical variates corresponding to the canonical correlations of largest magnitudes, while the other converges to the canonical variates corresponding to the largest positive canonical correlations.
KW - Canonical correlation analysis
KW - Polynomial dynamical systems
KW - Root merit function
UR - http://www.scopus.com/inward/record.url?scp=70449669003&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70449669003&partnerID=8YFLogxK
U2 - 10.1109/ACC.2009.5160592
DO - 10.1109/ACC.2009.5160592
M3 - Conference contribution
AN - SCOPUS:70449669003
SN - 9781424445240
T3 - Proceedings of the American Control Conference
SP - 1280
EP - 1285
BT - 2009 American Control Conference, ACC 2009
T2 - 2009 American Control Conference, ACC 2009
Y2 - 10 June 2009 through 12 June 2009
ER -