IGGCAS OpenIR  > 地球与行星物理院重点实验室
Model Misfit Minimization
Fang, Yuanyuan1,2,3; Zhou, Ying1; Yao, Zhenxing2,3
2019-10-01
Source PublicationBULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA
ISSN0037-1106
Volume109Issue:5Pages:1729-1737
AbstractIn geophysical applications, solutions to ill-posed inverse problems Ax = b are often obtained by analyzing the trade-off between data residue parallel to Ax - b parallel to(2) and model norm parallel to x parallel to(2). In this study, we show that the traditional L-curve analysis does not lead to solutions closest to the true models because the maximum curvature (or the corner of the L-curve) depends on the relative scaling between data residue and model norm. A Bayes approach based on empirical risk function minimization using training datasets may be designed to find a statistically optimal solution, but its success depends on the true realization of the model. To overcome this limitation, we construct training models using eigenvectors of matrix A(T)A as well as spectral coefficients calculated from the correlation between observations and eigenvector projected data. This approach accounts for data noise level but does not require it as a priori knowledge. Using global tomography as an example, we show that the solutions are closest to true models.
DOI10.1785/0120190079
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech
WOS KeywordUPPER-MANTLE ; WAVE ; INVERSION ; REGULARIZATION ; SCATTERING ; TIME
Language英语
Funding ProjectNational Natural Science Foundation of China[41630210] ; National Natural Science Foundation of China[41374047] ; U.S. National Science Foundation[EAR-1737737] ; Advanced Research Computing at Virginia Tech
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; U.S. National Science Foundation ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech ; Advanced Research Computing at Virginia Tech
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000487813300012
PublisherSEISMOLOGICAL SOC AMER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/93712
Collection地球与行星物理院重点实验室
Corresponding AuthorZhou, Ying
Affiliation1.Virginia Tech, Dept Geosci, Blacksburg, VA 24061 USA
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China
First Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Fang, Yuanyuan,Zhou, Ying,Yao, Zhenxing. Model Misfit Minimization[J]. BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA,2019,109(5):1729-1737.
APA Fang, Yuanyuan,Zhou, Ying,&Yao, Zhenxing.(2019).Model Misfit Minimization.BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA,109(5),1729-1737.
MLA Fang, Yuanyuan,et al."Model Misfit Minimization".BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA 109.5(2019):1729-1737.
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