TY - GEN
T1 - Cross-validation and other criteria for estimating the regularizing parameter
AU - Galatsanos, Nikolas P.
AU - Katsaggelos, Aggelos K.
PY - 1991
Y1 - 1991
N2 - The application of regularization to ill-conditioned problems necessitates the choice of a regularizing parameter which trades fidelity to the data for smoothness of the solution. Methods based on the properties of the residuals and on the generalized cross-validation have been proposed for estimating the regularizing parameter. Alternative methods to compute the regularizing parameter are proposed. The resulting values of the regularizing parameter are compared with the values obtained from the above-mentioned methods. Furthermore, it is shown that under certain conditions all the above-mentioned methods result in the same value for the regularizing parameter. Experimental results are presented which verify theoretical results.
AB - The application of regularization to ill-conditioned problems necessitates the choice of a regularizing parameter which trades fidelity to the data for smoothness of the solution. Methods based on the properties of the residuals and on the generalized cross-validation have been proposed for estimating the regularizing parameter. Alternative methods to compute the regularizing parameter are proposed. The resulting values of the regularizing parameter are compared with the values obtained from the above-mentioned methods. Furthermore, it is shown that under certain conditions all the above-mentioned methods result in the same value for the regularizing parameter. Experimental results are presented which verify theoretical results.
UR - http://www.scopus.com/inward/record.url?scp=0026374909&partnerID=8YFLogxK
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M3 - Conference contribution
AN - SCOPUS:0026374909
SN - 078030033
T3 - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
SP - 3021
EP - 3024
BT - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
A2 - Anon, null
PB - Publ by IEEE
T2 - Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91
Y2 - 14 May 1991 through 17 May 1991
ER -