| 逆方法计算一致性问题的一个案例研究 |
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| 引用本文： | 魏艳州,康贤彪,裴玉华. 逆方法计算一致性问题的一个案例研究[J]. 海洋学报(英文版), 2017, 36(9): 45-51. DOI: 10.1007/s13131-017-1110-3 |
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| 作者姓名： | 魏艳州 康贤彪 裴玉华 |
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| 作者单位： | 国家海洋局第二海洋研究所卫星海洋环境动力学国家重点实验室, 杭州 310012;中国科学院海洋研究所海洋环流与波动重点实验室, 青岛 266071;中国科学院大学, 北京 100049,中国科学院海洋研究所海洋环流与波动重点实验室, 青岛 266071;中国民航飞行学院空中交通管理学院, 广汉 618307,国家海洋局第二海洋研究所卫星海洋环境动力学国家重点实验室, 杭州 310012 |
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| 基金项目： | The National Natural Science Foundation of China under contract Nos 41490644 and 41490640. |
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| 摘 要： | 逆方法是海洋学研究中一个常用的方法，但是所求解的统计量通常和模式的先验假设不一致。为了解决这一问题，本文尝试将所求解的统计量作为模式的先验统计量，然后进行下一轮求逆运算，并重复这一过程。通过分析一个具体的案例，发现经过数次迭代之后，由于解和模式误差的协方差矩阵的行列式会变为零，从而所求解的统计量和它的先验假设之间的一致性变得很难评估。然而，在迭代过程中，解的后验统计量和先验统计量之间的数值上差异能够逐渐缩小。
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| 关 键 词： | 正则化 一致性 逆问题 箱体模型 L-曲线 |
| 收稿时间： | 2017-02-10 |
A case study of the consistency problem in the inverse estimation |
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| WEI Yanzhou,KANG Xianbiao and 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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| Authors: | WEI Yanzhou KANG Xianbiao PEI Yuhua |
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| Affiliation: | 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,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 and State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China |
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| 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. |
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| Keywords: | regularization consistency inverse problems box inverse model L-curve method |
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