TY - GEN
T1 - Affinely constrained online learning and its application to beamforming
AU - Slavakis, Konstantinos
AU - Theodoridis, Sergios
PY - 2009
Y1 - 2009
N2 - This paper presents a novel method for incorporating a-priori affine constraints in online kernel-based learning tasks. The proposed technique elaborates the generic tool of projections to form a sequence of estimates in Reproducing Kernel Hilbert Spaces (RKHS). The method guarantees that the whole sequence of estimates lies in the given affine constraint set. To validate the algorithm, a beamforming task is considered. The numerical results show that the proposed frame provides with solutions in cases where the classical linear approach collapses, and forms proper beam-patterns as opposed to a recent unconstrained kernel-based regression method.
AB - This paper presents a novel method for incorporating a-priori affine constraints in online kernel-based learning tasks. The proposed technique elaborates the generic tool of projections to form a sequence of estimates in Reproducing Kernel Hilbert Spaces (RKHS). The method guarantees that the whole sequence of estimates lies in the given affine constraint set. To validate the algorithm, a beamforming task is considered. The numerical results show that the proposed frame provides with solutions in cases where the classical linear approach collapses, and forms proper beam-patterns as opposed to a recent unconstrained kernel-based regression method.
KW - Beamforming
KW - Learning systems
UR - http://www.scopus.com/inward/record.url?scp=70349216514&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349216514&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2009.4959898
DO - 10.1109/ICASSP.2009.4959898
M3 - Conference contribution
AN - SCOPUS:70349216514
SN - 9781424423545
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 1573
EP - 1576
BT - 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings, ICASSP 2009
T2 - 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009
Y2 - 19 April 2009 through 24 April 2009
ER -