A case study of the consistency problem in the inverse estimation

被引:0
作者
WEI Yanzhou [1 ,2 ,3 ]
KANG Xianbiao [2 ,4 ]
PEI Yuhua [1 ]
机构
[1] State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration
[2] Key Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences
[3] University of Chinese Academy of Sciences
[4] College of Air Traffic Management, Civil Aviation Flight University of China
基金
中国国家自然科学基金;
关键词
regularization; consistency; inverse problems; box inverse model; L-curve method;
D O I
暂无
中图分类号
P714 [调查及观测方法];
学科分类号
0816 ;
摘要
Inverse technique is a widely used method in oceanography, but it has a problem that the retrieved solutions often violate model prior assumptions. To tune the model has consistent solutions, an iteration approach, which successively utilizes the posterior statistics for next round inverse estimation, is introduced and tested from a real case study. It is found that the consistency may become elusive as the determinants of solution and noise covariance matrices become zero in the iteration process. However, after several steps of such operation, the difference between posterior statistics and the model prior ones can be gradually reduced.
引用
收藏
页码:45 / 51
页数:7
相关论文
共 24 条
  • [1] An algorithm for least-squares estimation of nonlinear parameters. Marquardt DW. Journal of the Society for Industrial and Applied Mathematics . 1963
  • [2] Ridge regression: Biased estimation for nonorthogonal problems. Hoerl, Arthur E,Kennard, Robert W. Technometrics . 2000
  • [3] Velocity structures and transports of the Kuroshio and the Ryukyu current during fall of 2000 estimated by an inverse technique[J] . Xiao-Hua Zhu,Jae-Hun Park,Ikuo Kaneko. &nbspJournal of Oceanography . 2006 (4)
  • [4] Generalized Cross-validation as a Method for Choosing a Good Ridge Parameter. Golub GH,Heath M,Wahba G. Technometrics . 1979
  • [5] Wavefield inversion. SNIEDER R,TRAMPERT J. . 1999
  • [6] Onthedeterminationofabsolutevelocitiesintheocean. Fiadeiro .ME,VeronisG. JournalofMarineResearch . 1982
  • [7] Solution off ill-posed problems. Tikhonov AN, Arsenin VY. New York . 1977
  • [8] Regularization of Inverse Problems. Engl H W,Hanker M,Neubaucer A. Dordrecht, Netherlands . 1996
  • [9] Interannual to decadal variability of the Kuroshio Current in the East China Sea from 1955 to 2010 as indicated by in-situ hydrographic data[J] . Yanzhou Wei,Daji Huang,Xiao-Hua Zhu. &nbspJournal of Oceanography . 2013 (5)
  • [10] A Tracer-Contour Inverse Method for Estimating Ocean Circulation and Mixing
    Zika, Jan D.
    McDougall, Trevor J.
    Sloyan, Bernadette M.
    [J]. JOURNAL OF PHYSICAL OCEANOGRAPHY, 2010, 40 (01) : 26 - 47