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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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 【References】
 Chinese Journal Full-text Database 6 Hits
 1 LIU Zhong1,QU Wei2,WANG Shao-min1 (1.Xi'an Institute of Prospecting and Mapping,Xi'an 710048,China;2.School of Geological Engineering and Surveying Engineering,Chang'an University,Xi'an 710054,China);Refining the remained systematic error in GPS single positioning using semiparamatric model[J];Engineering of Surveying and Mapping;2007-05 2 LI Xiao1,YIN Hui2(1.College of civil Engineering and Urban Construction,Jiujiang University,Jiujiang 332005,China;2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China);AR model refining in deformation analysis[J];Engineering of Surveying and Mapping;2008-05 3 Hu Yaxuan,Hao Ming,Wang Xiong,Wang Qingliang and Cui Duxin (Second Crust Monitoring and Application Center,CEA,Xi'an 710054);APPLICATION OF L-CURVE TO THE INVERSION OF PRESSURE SOURCE PARAMETERS IN VOLCANO AREA[J];Journal of Geodesy and Geodynamics;2009-02 4 YANG Yuanxi,ZHANG Liping (Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China);Progress of Geodetic Data Processing for 60 Years in China Part 2:Progress of Parameter Estimation Theory and Methodology[J];Geospatial Information;2010-01 5 LIU Yun-hang,SONG Li-jie(Institute of Surveying and Mapping,Information Engineering University,Zhengzhou,Henan,450052);Ridge Estimation Method for Ill-Conditioned Semiparametric Regression Model[J];Hydrographic Surveying and Charting;2008-04 6 WANG Xuanqing LI Keding(Shanghai Geo-fechnical Engineering Defetion Center,Shanghai 200072);Refining the remained systematic error in GPS signal using semiparamatric model[J];Shanghai Geology;2007-04
 【Citations】
 Chinese Journal Full-text Database 1 Hits
 1 SUN Haiyan 1 WU Yun 1 (1 School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan,China,430079);Semiparametric Regression and Model Refining[J];Editoral Board of Geomatics and Information Science of Wuhan University;2002-02
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
 1 HU Hong-chang1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China);Choice of the regular matrix R and smoothing parameter α[J];Engineering of Surveying and Mapping;2003-04 2 LIU Zhong1,QU Wei2,WANG Shao-min1 (1.Xi'an Institute of Prospecting and Mapping,Xi'an 710048,China;2.School of Geological Engineering and Surveying Engineering,Chang'an University,Xi'an 710054,China);Refining the remained systematic error in GPS single positioning using semiparamatric model[J];Engineering of Surveying and Mapping;2007-05 3 LI Xiao1,YIN Hui2(1.College of civil Engineering and Urban Construction,Jiujiang University,Jiujiang 332005,China;2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China);AR model refining in deformation analysis[J];Engineering of Surveying and Mapping;2008-05 4 WANG Zhen-jie, OU Ji-kun;Comparisons between Collocation Model and Semi-parametric Model[J];Bulletin of Surveying and Mapping;2004-09 5 TAO Ben-zao, CHEN Xi-long;Optimal Method for AR(p) Modeling Based on Compensation for Model Errors[J];Bulletin of Surveying and Mapping;2005-08 6 PENG Zhenzhong1 LUO Changlin2(1 Guangzhou Urban Planning and Survey Research Institute,10 Jianshedama Road,Guangzhou 510060,China;2 School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China);APPLICATION OF THIN-PLATE SPLINES IN SEMI-PARAMETRIC REGRESSION[J];Journal of Geomatics;2007-06 7 Ding Shijun1), Zhang Songlin2) and Chang Kaisi3)1)Shool of Geodesy and Geomatics,Wuhan University,Wuhan 4300792)Department of Surverying and Geoinformatics,Tongji University,Shanghai 2000923)Taiyuan Engineering Investigation and Surveying Institute,Taiyuan 030002;RESEARCH ON SEPARABILITY OF SYSTEMATIC ERROR AND GROSS ERROR BASED ON SEMIPARAMETRIC MODEL[J];Journal of Geodesy and Geodynamics;2008-01 8 Le Kejun,Qiu Bin and Zhu Jianjun(School of Info-Physics and Geomatics Engineering of Central South University,Changsha 410083);SEMI-PARAMETRIC REGRESSION MODEL CONSTRAINED WITH PRIORI INFORMATION AND ITS VIRTUAL OBSERVATIONS SOLUTION[J];Journal of Geodesy and Geodynamics;2008-06 9 Zhu Jianjun,Song Yingchun(School of Geomatics,Central South University,Changsha 410083,China);Progress of modern surveying adjustment and theory of data processing[J];Geotechnical Investigation & Surveying;2009-12 10 WANG Shouchun,DING Shijun,GONG Chunlong,YANG Chunchang;Study of the Semiparametric Model Solving GPS Points Normal Height[J];Bulletin of Surveying and Mapping;2010-02
 【Co-references】
 Chinese Journal Full-text Database 10 Hits
 1 Zhu Jianjun (Central South University of Technology, Chang Sha, 410083);A new Criterion for Robustness and the Corresponding Robust Estimate[J];Engineering of Surveying and Mapping;1996-04 2 GUI Qingming (Zheng Zhou Institute of Surveying and Mapping, Zheng Zhou, 450052);A New Selection Method For Ridge Parameter[J];Engineering of Surveying and Mapping;1997-01 3 Song Lijie (Zhengzhou Institute of Surveying and Mapping, Zheng Zhou, 450052);Principal Components Estimate and Parameter Adjustment with Constraints[J];Engineering of Surveying and Mapping;1997-01 4 SUI Li-fen, TAO Da-xin (Information Engineering University, Zhengzhou 450052, China);Various Adjustment Methods of Unknown Parameters with Prior Information and Its Comparison[J];Engineering of Surveying and Mapping;2001-04 5 HU Hong-chang1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China);Choice of the regular matrix R and smoothing parameter α[J];Engineering of Surveying and Mapping;2003-04 6 LIU Jing nan,YAO Yi bin,SHI Chuang(Wuhan University,129 Luoyu Road,Wuhan,China,430079);Theory Research on Robustified Least Squares Estimator based on Equivalent Variance-Covariance[J];DEVELOPMENTS IN SURVEYING AND MAPPING;2000-03 7 XU Tian he,YANG Yuan xi(Institute of Surveying and Mapping of Information Engineering University,66 Longhai Road,Zhengzhou,China,450052);The Improved Method of Sage Adaptive Filtering[J];DEVELOPMENTS IN SURVEYING AND MAPPING;2000-03 8 GUI Qing-ming ①② , GUO Jian feng ② ,BIAN Shao feng ②(①Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077,China;②Institute of Surveying and Mapping, Information Engineering University,Zhengzhou 450052,China);Ill-conditioning Diagnostics Based on Eigensystem[J];Developments In Surveying and Mapping;2002-02 9 ZHANG Song-lin,WANG Xin-zhou(School of ceodesy and ge-omaics, Wuhan Uniersity, Wuhan, 430079);Application of non-linear semiparametric models in GPS systemat-ic error psoussing[J];Science of Surveying and Mapping;2004-03 10 PAN Xiong SUN Hai-yan (School of Geodesy and Geo-matics, Wuhan University, Wuhan 430079; Department of Mathematics and Physical , Wuhan Polytechnic University, Wuhan 430023);Two stage estimation of parameter for semiparametric survey ad-justment models[J];Science of Surveying and Mapping;2004-03
 【Secondary References】
 Chinese Journal Full-text Database 10 Hits
 1 WANG Jia-bang1 WU You-ping1 XIA Yuan-ping1 TUO Li-wen2 1.Department of Civil Engineering,Guilin University of Technology,Guilin,Guangxi,541004; 2. Armed Police Force 3rd detachment 4th squadrons gold,Haerbin,Heilongjiang,150086;Selection of M-estimated Weight Functions and Robust Comparison[J];Beijing Surveying and Mapping;2008-01 2 WU You-ping①,PENG Jun-huan②,LU Tie-ding③(①Nanchang University College of Science and Technology,Jiangxi Nanchang,330029;②Department of Surveying Engineering,Land Science and Technology Institute,China University of GeoSciences,Beijing 100083;③Earth Sciences and Institute of Surveying and Mapping,East China Institute of Technology,Jiangxi Fuzhou 344000,China);The efficiency of semi-parameter estimation compared with the LS estimation[J];Science of Surveying and Mapping;2009-01 3 Wu YouPing1,Le HuiZhi2,Xia YuanPing1,Tian HaiTao1,Li HaiWen1(1.Guilin University of Technology,Guilin 541004,China;2.Yunnan zhongda yanjin electricity generation limited company,Zhaotong 657503,China);Resistance of Corvee Estimate Decides the Power Method and with the other Mean Resistance of Corvee Effect Comparison Research[J];Urban Geotechnical Investigation & Surveying;2007-03 4 Ding Shijun~(1)),Sun Zhenbing~(2)) and Liu Xing~(3))1)School of Geodesy and Geomatics,Wuhan University,Wuhan 4300792)Shanwei Honghaiwan Economic Development Experimental Zone of Guangdong Province,Shanwei 5166223)School of Civil Engineering,Chongqing University,Chongqing 400045;GENERAL COMPENSATED LEAST SQUARES AND ITS STATISTICAL PROPERTIES[J];Journal of Geodesy and Geodynamics;2006-04 5 ZHAO De-Yong,WANG Zheng-Ming(1.Department of Mathematics and System Science,National University of Defense Technology,Changsha,Hunan 410073 China;2.Department of Management Engineering,Ordnance Engineering College,Shijiazhuang,Hebei 050003,China);Satellite Combined Orbit Determination Parameterized Fusion Model[J];Acta Electronica Sinica;2008-12 6 DING Shi-jun1,ZHANG Song-lin2,ZHANG Hong-bo1,TAO Ben-zao1(1.School of Geodesy and Geomation,Wuhan University,Wuhan 430079,China;2.Department of Surverying Geomatics,Tongji University,Shanghai 200092,China);Robust Estimate and Its Applications for Semiparametric Models[J];Journal of Zhengzhou Institute of Surveying and Mapping;2007-01 7 CAO Yi-zhi1,SUI Li-fen1,GAO Cheng-sheng2(1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;2.Geomantic Center of Yantai,Yantai 264003,China);An Estimation Method of Semi-parametric Models Based on Regular Kernel Function[J];Journal of Geomatics Science and Technology;2008-04 8 WANG Jia-bang TUO Li-wen WU You-ping;The weight function of M estimated and the selection of robust comparison[J];Shanxi Architecture;2008-13 9 Yang Wei Lu Yan Wu Youping(1.Department of Election Technology, Public Security Marine Police Academy, Zhejiang Ningbo 315801; 2.Department of Civil Engineering, Guilin University of Technology, Guangxi Guilin 541004);Solution of Semi-parameter of InSAR Phase Unwrapping[J];Science Mosaic;2007-11 10 WU You-ping1 PENG Jun-huan2 XIA Yuan-ping1(1.Department of Civil Engineering,Guilin University of Technology,Guilin 541004,China;2.Department of Land Science and Technology,China University of Technology,Beijing 100083,China);The Semi-parameter Calculation Method of INSAR Phase Unwrapping[J];Surveying and Mapping of Sichuan;2008-01
 【Secondary Citations】
 Chinese Journal Full-text Database 1 Hits
 1 YAN ZAIZAI,WU WEIZHI,NIE ZANKAN (Science College of Xi,an Jiaotong University, Xi'an, 710049);Near Neighbour Estimate in Semiparametric Regression Model: The Martingale Difference Error Sequence Case[J];Chinese Journal of Applied Probability and Statisties;2001-01
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