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《Science of Surveying and Mapping》 2008-02
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The slope method of ridge parameter determination

ZHANG Hui-zhan ,DU Zhi-xing(Shandong University of Science and Technology, Qingdao 2665110,China)  
The key to the ridge estimation is to select proper ridge parameter. The rule of the parameters’ norm varying with the ridge parameter is analyzed and studied in different ill-conditioned system. Then the slope method is put forward to determine the ridge parameter. Numerical simulation of slope method and L-curve, LS estimation, demonstrates that the slope method is simple and explicit, and the ridge parameter determined is reasonable.
【Fund】: 国家自然基金(40474005)
【CateGory Index】: P207
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【References】
Chinese Journal Full-text Database 2 Hits
1 WANG Gai-tang1,LI Ping2,SU Cheng-li2(1.School of Automation,Northwestern Polytechnical University,Xi'an 710072,China;2.School of Information and Control Engineering,Liaoning Shihua University,Fushun 113001,China);Soft sensor modeling method of extreme learning machine ridge regression[J];合肥工业大学学报(自然科学版);2011-08
2 WANG Gaitang1,LI Ping2,SU Chengli2(1.School of Automation,Northwestern Polytechnical University,Xi’an 710072,China;2.School of Information and Control Engineering,Liaoning ShiHua University,Fushun 113001,China);ELM Ridge Regression Learning Algorithm of Ridge Parameter Optimization[J];信息与控制;2011-04
【Citations】
Chinese Journal Full-text Database 3 Hits
1 DING Shi-jun~①,JIN Xiang-sheng~②(①School of Geodesy and Geomatics,Hubei,Wuhan 430079;②Yellow River Conservancy Technical Institute,Henan,Kaifeng,475000);Solution properties of Ill-posed problem in adjustment and resolution of regularization parameter[J];测绘科学;2006-02
2 OU Ji-kundemy of Sciences, Wuhan, 430077, China);Uniform Expression of Solutions of Ill-posed Problems in Surveying Adjustment and the Fitting Method by Selection of the Parameter Weights[J];测绘学报;2004-04
3 WANG Zhenjie 1 OU Jikun 1(1 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077, China);Determining the Ridge Parameter in a RidgeEstimation Using L-curve Method[J];武汉大学学报(信息科学版);2004-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GAO Si-yuan;CUI Chen-feng;FAN Yu-ping;College of Water Resources and Architectural Engineering, Northwest A&F University;State Key Laboratory of Water Resources and Hydropower Engineering Science;;Remote Sensing Inversion of ET_0 in Eastern Agricultural Area of Qinghai Province Based on Ridge Estimation[J];自然资源学报;2016-04
2 CHEN Yuanjun;YI Zhonghai;KUANG Cuilin;DAI Wujiao;School of Geosciences and Info-Physics,Central South University;Key Laboratory for Urban Geomatics,NASMG;;Fast GPS Ambiguity Resolution with Variance Component Estimation Based on Virtual Observation[J];大地测量与地球动力学;2016-02
3 XIE Jian;ZHU Jianjun;Department of Geosciences and Info-physics,Central South University;;Influence of Equality Constraints on Ill-conditioned Problems and Constrained Regularization Method[J];武汉大学学报(信息科学版);2015-10
4 LU Yang-wei;WANG Zhen-jie;School of Geosciences,China University of Petroleum;;Determining the Ridge Parameter in Ridge Estimation Using U-curve Method[J];导航定位学报;2015-03
5 YANG Ren-gui;LIU Pei-zhao;LIU Gen-you;State Key Laboratory of Geodesy and Earth's Dynamics,Institute of Geodesy and Geophysics,Chinese Academy of Sciences;University of Chinese Academy of Sciences;;Single Frequency Phase Instantaneous Monitoring Technique with Dual Reference Station[J];导航定位学报;2015-03
6 ZHANG Fang-zhao;CHAI Yan-ju;CHAI Hua;Ding Lei-xiang;Institute of Geodesy and Geophysics,Chinese Academy of Sciences;State Key Laboratory of Geodesy and Earth's Dynamics;University of Chinese Academy of Sciences;;Improving the Ill-posed Problems of the Least Squares Attitude Estimation with GNSS Multi-antennas Using Ridge Estimation[J];导航定位学报;2015-03
7 YANG Juan;HUANG Shu-ling;DAI Hong-bao;SHI Long-xiang;School of Earth Science and Engineering,Suzhou University;;Reaserch on Ill-conditioned problem in plane coordinate conversion model and its regularization algorithm[J];测绘科学;2015-06
8 Chen Xibin;Zhang Shubi;Bao Guo;School of Environmental Science and Spatial Informatics,China University of Mining and Technology;Air Force Service Academy,Airport Engineering and Security Department;;A Single Frequency and Single Epoch Algorithm for Mining Settlement Observation in Real Time[J];金属矿山;2015-02
9 CHEN Shuai;ZHAN Benyong;Tianjin Richsoft Electric Power Information Technology Co.,Ltd;The Huaneng Yunnan energy Co.,Ltd White Mountain Mine;;Application of L-curve Method on Robust Ridge Estimation Model[J];全球定位系统;2014-05
10 LIAO Xiang-ning;ZHENG Si-fa;PENG Bo;LIAN Xiao-min;State Key Laboratory of Automotive Safety and Energy,Tsinghua University;;Optimization of loudspeakers for three dimensional sound field reproduction[J];振动工程学报;2014-05
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 ZHANG Hui-zhan ,DU Zhi-xing(Shandong University of Science and Technology, Qingdao 2665110,China);The slope method of ridge parameter determination[J];测绘科学;2008-02
2 CHANG Yu-qing1,2, LI Yu-chao3, WANG Fu-li1,2, LV Zhe2 (1. Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education, Shenyang 110004, China; 2. School of Information Science & Engineering, Northeastern University, Shenyang 110004, China; 3. School of Mechanical Engineering, Shenyang Ligong University, Shenyang 110168, China);Soft Sensing Modeling Based on Extreme Learning Machine for Biochemical Processes[J];系统仿真学报;2007-23
3 SHI Zhi-wei,HAN Min(School of Electronic and Information Engineering,Dalian University of Technology,Dalian 116024,China.);Ridge regression learning in ESN for chaotic time series prediction[J];控制与决策;2007-03
4 YAN Xue-feng(Automation Institute, East China University of Science and Technology, Shanghai 200237, China);Modified nonlinear ridge regression with optimal ridge parameter and its application to 4-CBA soft sensor[J];智能系统学报;2006-01
5 WANG Zhenjie 1 OU Jikun 1(1 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077, China);Determining the Ridge Parameter in a RidgeEstimation Using L-curve Method[J];武汉大学学报(信息科学版);2004-03
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 ZHU Zhao-hui;ZHANG Yu-bin;GAN Wen-ning;ZHAN Bing-gen;School of Civil and Hydraulic Engineering,Hefei University of Technology;Anhui Provincial Laboratory of Structure and Materials in Civil Engineering,Hefei University of Technology;Anhui Transport Consulting and Design Institute Co.,Ltd.;;Application of grey feature weighted ELM in the prediction of texture depth[J];合肥工业大学学报(自然科学版);2014-07
2 ZHAI Jun-hai,SHAO Qing-yan,MIAO Qing(College of Mathematics and Computer Science,Hebei University,Baoding 071002,China);ELM network architecture selection based on tolerance rough set technique[J];合肥工业大学学报(自然科学版);2012-12
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 DING Shijun 1 TAO Benzao 1(1 School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road,Wuhan 430079, China);Semiparametric Regression Model With Natural Spline and Systematic Error Estimation[J];武汉大学学报(信息科学版);2004-11
2 OU Ji-kundemy of Sciences, Wuhan, 430077, China);Uniform Expression of Solutions of Ill-posed Problems in Surveying Adjustment and the Fitting Method by Selection of the Parameter Weights[J];测绘学报;2004-04
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4 WANG Zhi-fu (Department of Mathematics,Jinzhou Normal College,Jinzhou 121000 China);New Methad of Ridge Estimation Parametric Selection[J];锦州师范学院学报(自然科学版);2003-01
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