Details of Research Outputs

Status已发表Published
TitleNumerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations
Creator
Date Issued2021-07-01
Source PublicationRoyal Society Open Science
ISSN2054-5703
Volume8Issue:7
Abstract

Parameter inference of dynamical systems is a challenging task faced by many researchers and practitioners across various fields. In many applications, it is common that only limited variables are observable. In this paper, we propose a method for parameter inference of a system of nonlinear coupled ordinary differential equations with partial observations. Our method combines fast Gaussian process-based gradient matching and deterministic optimization algorithms. By using initial values obtained by Bayesian steps with low sampling numbers, our deterministic optimization algorithm is both accurate, robust and efficient with partial observations and large noise.

KeywordGaussian process nonlinear ordinary differential equations parameter inference partial observations
DOI10.1098/rsos.210171
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000679974200001
Scopus ID2-s2.0-85113269789
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/5988
CollectionFaculty of Science and Technology
Corresponding AuthorHuang, Huaxiong
Affiliation
1.School of Mathematics,Shanghai University of Finance and Economics,Shanghai,China
2.Centre for Quantitative Analysis and Modeling (CQAM),Fields Institute for Research in Mathematical Sciences,Toronto,222 College Street,Canada
3.School of Mathematical Sciences,Fudan University,Shanghai,200433,China
4.Computer Science,University of Toronto,Toronto,Canada
5.Joint Mathematical Research Centre,Beijing Normal University,BNU-HKBU United International College,Zhuhai,China
6.Department of Mathematics and Statistics,York University,Toronto,Canada
7.Duke Kunshan University,Kunshan,8 Duke Ave, Jiangsu,China
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Chen, Yu,Cheng, Jin,Gupta, Arvindet al. Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations[J]. Royal Society Open Science, 2021, 8(7).
APA Chen, Yu, Cheng, Jin, Gupta, Arvind, Huang, Huaxiong, & Xu, Shixin. (2021). Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations. Royal Society Open Science, 8(7).
MLA Chen, Yu,et al."Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations". Royal Society Open Science 8.7(2021).
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