TY - GEN
T1 - Optimized measurements for kernel compressive sensing
AU - Natesan Ramamurthy, Karthikeyan
AU - Spanias, Andreas
PY - 2011
Y1 - 2011
N2 - Certain classes of signals can be well approximated using a few principal components in the feature space, that is obtained by a non-linear transformation of the input signal space. Compressive sensing of such signals with random measurements can be performed using the kernel trick. In this paper, we propose a procedure to compute optimized measurement vectors for kernel compressive sensing. We show that the optimized measurements correspond to the data samples that have the highest energy when projected onto the kernel principal components. Simulation results obtained with handwritten digits and the sculpted faces dataset show that the proposed measurement system results in a substantially better recovery when compared to using the same number of random measurements.
AB - Certain classes of signals can be well approximated using a few principal components in the feature space, that is obtained by a non-linear transformation of the input signal space. Compressive sensing of such signals with random measurements can be performed using the kernel trick. In this paper, we propose a procedure to compute optimized measurement vectors for kernel compressive sensing. We show that the optimized measurements correspond to the data samples that have the highest energy when projected onto the kernel principal components. Simulation results obtained with handwritten digits and the sculpted faces dataset show that the proposed measurement system results in a substantially better recovery when compared to using the same number of random measurements.
UR - http://www.scopus.com/inward/record.url?scp=84861313025&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84861313025&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2011.6190256
DO - 10.1109/ACSSC.2011.6190256
M3 - Conference contribution
AN - SCOPUS:84861313025
SN - 9781467303231
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 1443
EP - 1446
BT - Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
T2 - 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Y2 - 6 November 2011 through 9 November 2011
ER -