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《Editorial Board of Geomatics and Information Science of Wuhan University》 2004-07
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Determining the Smoothing Parameter in Semi-parametric Model Using L-curve Method

WANG Zhenjie 1,2 OU Jikun 1 QU Guoqing 2 HAN Baomin 2 (1 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077, China) (2 Faculty of Architectural Engineering, Shangdong University of Technology, 12 Zhangzhou Road, Zibo 255012, China)  
There are two crucial steps in resolving semi-parametric model. One is to choose the regularizer, and the other is to determine the smoothing parameter. The emphasis of this paper is on the determination of the smoothing parameter. A new method for determining smoothing parameter, L-curve method, is investigated. On the basis of analyzing the basic theorem of L-curve, the authors realize its algorithm and apply it to the mitigation of systematic errors.Furthermore, we combine the L-curve with different methods to resolve the semi-parametric model and compare their results.
【Fund】: 国家自然科学基金资助项目 ( 4 0 0 740 0 3 ) ;; 中国科学院知识创新工程前沿领域资助项目 ( 0 3 0 185 )
【CateGory Index】: P207
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