Neural Parametric Fokker--Planck Equation (Q5087103)

scientific article; zbMATH DE number 7554725

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English	Neural Parametric Fokker--Planck Equation	scientific article; zbMATH DE number 7554725

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instance of

scholarly article

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title

Neural Parametric Fokker--Planck Equation (English)

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SIAM Journal on Numerical Analysis

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publication date

8 July 2022

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full work available at URL

https://arxiv.org/abs/2002.11309

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zbMATH Keywords

optimal transport

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transport information geometry

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deep learning

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neural parametric Fokker-Planck equation

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implicit Euler scheme

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numerical analysis

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describes a project that uses

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MaRDI publication profile

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cites work

Theory of Maxima and the Method of Lagrange

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A practical difference scheme for Fokker-Planck equations

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Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems

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Partial differential equations and stochastic methods in molecular dynamics

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Asymptotic Dynamics of Attractive-Repulsive Swarms

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Parametric Fokker-Planck equation

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Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space

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Numerical Solution of the Fokker–Planck Equation by Finite Difference and Finite Element Methods—A Comparative Study

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Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Fokker--Planck Particle Systems for Bayesian Inference: Computational Approaches

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Optimal Transport

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Error bounds for approximations with deep ReLU networks

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Identifiers

zbMATH Open document ID

1493.65132

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DOI

10.1137/20M1344986

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5087103