Evidence map›Paper›PMID 34350015›Full record

ArticleRoyal Society open science2021

Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations.

Yu Chen, Jin Cheng, Arvind Gupta, Huaxiong Huang, Shixin Xu

Abstract read
In one paragraph

Article in Royal Society open science, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Yu ChenSchool of Mathematics, Shanghai University of Finance and Economics, Shanghai, People's Republic of China.
Jin ChengSchool of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China.
Arvind GuptaComputer Science, University of Toronto, Toronto, Ontario, Canada.
Huaxiong HuangJoint Mathematical Research Centre of Beijing Normal University and BNU-HKBU United International College, Zhuhai, People's Republic of China.
Shixin XuDuke Kunshan University, 8 Duke Ave, Kunshan, Jiangsu, People's Republic of China.ORCID 0000-0002-8207-7313

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Indexed as

Gaussian processnonlinear ordinary differential equationsparameter inferencepartial observations

Identifiers

PMID34350015
PMCPMC8316824

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.