A New DY Conjugate Gradient Method and Applications to Image Denoising

Dai-Yuan (DY) conjugate gradient method is an effective method for solving large-scale unconstrained optimization problems. In this paper, a new DY method, possessing a spectral conjugate parameter βk, is presented. An attractive property of the proposed method is that the search direction generated...

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Veröffentlicht in:IEICE Transactions on Information and Systems 2018/12/01, Vol.E101.D(12), pp.2984-2990
Hauptverfasser: XUE, Wei, REN, Junhong, ZHENG, Xiao, LIU, Zhi, LIANG, Yueyong
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REN, Junhong
ZHENG, Xiao
LIU, Zhi
LIANG, Yueyong
description Dai-Yuan (DY) conjugate gradient method is an effective method for solving large-scale unconstrained optimization problems. In this paper, a new DY method, possessing a spectral conjugate parameter βk, is presented. An attractive property of the proposed method is that the search direction generated at each iteration is descent, which is independent of the line search. Global convergence of the proposed method is also established when strong Wolfe conditions are employed. Finally, comparison experiments on impulse noise removal are reported to demonstrate the effectiveness of the proposed method.
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subjects Conjugate gradient method
Conjugates
image denoising
line search
Noise reduction
Optimization
unconstrained optimization
title A New DY Conjugate Gradient Method and Applications to Image Denoising
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