A case study of the consistency problem in the inverse estimation

WEI Yanzhou; KANG Xianbiao; PEI Yuhua

doi:10.1007/s13131-017-1110-3

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WEI Yanzhou, KANG Xianbiao, PEI Yuhua. A case study of the consistency problem in the inverse estimation[J]. Acta Oceanologica Sinica, 2017, 36(9): 45-51. doi: 10.1007/s13131-017-1110-3

Citation:

WEI Yanzhou, KANG Xianbiao, PEI Yuhua. A case study of the consistency problem in the inverse estimation[J]. Acta Oceanologica Sinica, 2017, 36(9): 45-51. doi: 10.1007/s13131-017-1110-3

WEI Yanzhou, KANG Xianbiao, PEI Yuhua. A case study of the consistency problem in the inverse estimation[J]. Acta Oceanologica Sinica, 2017, 36(9): 45-51. doi: 10.1007/s13131-017-1110-3

Citation:

WEI Yanzhou, KANG Xianbiao, PEI Yuhua. A case study of the consistency problem in the inverse estimation[J]. Acta Oceanologica Sinica, 2017, 36(9): 45-51. doi: 10.1007/s13131-017-1110-3

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A case study of the consistency problem in the inverse estimation

doi: 10.1007/s13131-017-1110-3

1.
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China;Key Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;University of Chinese Academy of Sciences, Beijing 100049, China
2.
Key Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;College of Air Traffic Management, Civil Aviation Flight University of China, Guanghan 618307, China
3.
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China

Received Date: 2017-02-10

Abstract

Abstract

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.
- regularization,
- consistency,
- inverse problems,
- box inverse model,
- L-curve method

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References

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