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Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks

SIAM Journal on Scientific Computing(2021)10.1137/20m1360153Source: DataRank Database

Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks is a research paper published in SIAM Journal on Scientific Computing (2021). On theSindex it has a DataRank of 0. It has been cited 121 times.

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Open Access121 citations

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Enrichment:Funding (6 grants)OA: greenTopics (22)IDs (PubMed)

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Authors (4)

Liu Yang ORCID,Jinqiao Duan,George Em Karniadakis ORCID,Xiaoli Chen ORCID

Live enrichment

PubMed:23304386

China Scholarship Council

Grant: 201806160038

China Scholarship Council

Grant: NSF11801192

Army Research Office

Grant: W911NF-15-1-0562

National Institutes of Health

Grant: U01 HL142518

U.S. Department of Energy

Grant: DE-SC0019453

National Institutes of Health

Grant: 5U01HL142518-03

Multimodality imaging-driven multifidelity modeling of aortic dissection

greenLicense: arXiv Non-Exclusive Distribution

repositoryhttps://www.osti.gov/servlets/purl/2282021

publisherhttps://epubs.siam.org/doi/pdf/10.1137/20M1360153

https://doi.org/10.1137/20m1360153

http://arxiv.org/pdf/2008.10653

https://dx.doi.org/10.48550/arxiv.2008.10653

Fields of Study

01 natural sciences0103 physical sciences

Keywords

small dataFOS: Computer and information sciencesnonlocalityComputer Science - Machine Learningphysics-informed learningKullback-Leibler divergenceFOS: Physical sciencesMachine Learning (stat.ML)Computational Physics (physics.comp-ph)Neural networks for/in biological studies, artificial life and related topicsLévy noiseMachine Learning (cs.LG)Neural nets and related approaches to inference from stochastic processesdeep neural networksStatistics - Machine LearningBrownian motionDependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEsFokker-Planck equationsPhysics - Computational PhysicsComputational methods for stochastic equations (aspects of stochastic analysis)