Status | 已发表Published |
Title | Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations |
Creator | |
Date Issued | 2021-07-01 |
Source Publication | Royal Society Open Science
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ISSN | 2054-5703 |
Volume | 8Issue: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. |
Keyword | Gaussian process nonlinear ordinary differential equations parameter inference partial observations |
DOI | 10.1098/rsos.210171 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Science & Technology - Other Topics |
WOS Subject | Multidisciplinary Sciences |
WOS ID | WOS:000679974200001 |
Scopus ID | 2-s2.0-85113269789 |
Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/5988 |
Collection | Faculty of Science and Technology |
Corresponding Author | Huang, 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 Affilication | Beijing 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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