南方科技大学知识苑(SUSTech KC): Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference

题名	Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference
作者	Huo, Fuchang 1; Zhang, Kai 1; Gao, Yu 1; Li, Jingzhi2,3,4
通讯作者	Gao, Yu; Li, Jingzhi
发表日期	2024-03-01
DOI	10.1515/jiip-2022-0050
发表期刊	JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 影响因子和分区
ISSN	0928-0219
EISSN	1569-3945
摘要	In this paper, we consider a Bayesian method for nonlinear elastic inverse problems. As a working model, we are interested in the inverse problem of restoring elastic properties from measured tissue displacement. In order to reduce the computational cost, we will use the following multi-fidelity model approach. First, we construct a surrogate low-fidelity DNNs-based model in the prior distribution, then use a certain number of simulations of high fidelity model associated with an adaptive strategy online to update the low-fidelity model locally. Numerical examples show that the proposed method can solve nonlinear elastic inverse problems efficiently and accurately.
关键词	Bayesian inverse problems nonlinear elasticity problems surrogate modeling Markov chain Monte Carlo
相关链接	[来源记录]
收录类别	SCI ; EI
语种	英语
学校署名	通讯
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:001190254700001
出版者	WALTER DE GRUYTER GMBH
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/788792
专题	理学院_数学系南方科技大学
作者单位	1.Jilin Univ, Sch Math, Changchun, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Peoples R China 4.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China
通讯作者单位	数学系; 南方科技大学
推荐引用方式 GB/T 7714	Huo, Fuchang,Zhang, Kai,Gao, Yu,et al. Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,2024.
APA	Huo, Fuchang,Zhang, Kai,Gao, Yu,&Li, Jingzhi.(2024).Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference.JOURNAL OF INVERSE AND ILL-POSED PROBLEMS.
MLA	Huo, Fuchang,et al."Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference".JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2024).