Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method

doi:10.1007/s10915-023-02115-7

KMS > 数学科学研究所

	Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method
	Guo, Ruchi 1; Jiang, Jiahua2,3 ; Li, Yi 4
	2023-04-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING (IF:2.8[JCR-2023],2.7[5-Year])
ISSN	0885-7474
EISSN	1573-7691
卷号	95 期号:1
发表状态	已发表
DOI	10.1007/s10915-023-02115-7
摘要	In this work, we investigate the diffusive optical tomography (DOT) problem in the case that limited boundary measurements are available. Motivated by the direct sampling method (DSM) proposed in Chow et al. (SIAM J Sci Comput 37(4):A1658-A1684, 2015), we develop a deep direct sampling method (DDSM) to recover the inhomogeneous inclusions buried in a homogeneous background. In this method, we design a convolutional neural network to approximate the index functional that mimics the underling mathematical structure. The benefits of the proposed DDSM include fast and easy implementation, capability of incorporating multiple measurements to attain high-quality reconstruction, and advanced robustness against the noise. Numerical experiments show that the reconstruction accuracy is improved without degrading the efficiency, demonstrating its potential for solving the real-world DOT problems.
关键词	Deep learning Inverse problems Direct sampling methods Diffusive optical tomography Reconstruction algorithm
URL	查看原文
收录类别	SCI ; EI
语种	英语
资助项目	ShanghaiTech University[2020F0203-000-16] ; Shanghai Science and Technology Innovation Program[21YF1429100] ; National Natural Science Foundation of China[12101406] ; NSF[DMS-2012465]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000946265400006
出版者	SPRINGER/PLENUM PUBLISHERS
EI入藏号	20231213747425
EI主题词	Inverse problems
EI分类号	461.4 Ergonomics and Human Factors Engineering ; 741.3 Optical Devices and Systems
原始文献类型	Journal article (JA)
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/287882
专题	数学科学研究所信息科学与技术学院数学科学研究所_PI研究组(P)_姜嘉骅组
通讯作者	Jiang, Jiahua
作者单位	1.Univ Calif Irvine, Dept Math, Irvine, CA USA 2.Univ Birmingham, Sch Math, Birmingham, England 3.ShanghaiTech Univ, Inst Math Sci, Pudong, Peoples R China 4.ShanghaiTech Univ, Sch Informat Sci & Technol, Pudong, Peoples R China
通讯作者单位	数学科学研究所
推荐引用方式 GB/T 7714	Guo, Ruchi,Jiang, Jiahua,Li, Yi. Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method[J]. JOURNAL OF SCIENTIFIC COMPUTING,2023,95(1).
APA	Guo, Ruchi,Jiang, Jiahua,&Li, Yi.(2023).Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method.JOURNAL OF SCIENTIFIC COMPUTING,95(1).
MLA	Guo, Ruchi,et al."Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method".JOURNAL OF SCIENTIFIC COMPUTING 95.1(2023).