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

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

24 August 2020
Xiaoli Chen
Liu Yang
Jinqiao Duan
George Karniadakis
ArXivPDFHTML

Papers citing "Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-informed Neural Networks"

9 / 9 papers shown
Title
A Robust Model-Based Approach for Continuous-Time Policy Evaluation with Unknown Lévy Process Dynamics
A Robust Model-Based Approach for Continuous-Time Policy Evaluation with Unknown Lévy Process Dynamics
Qihao Ye
Xiaochuan Tian
Yuhua Zhu
36
1
0
02 Apr 2025
Physics-Informed Solution of The Stationary Fokker-Plank Equation for a
  Class of Nonlinear Dynamical Systems: An Evaluation Study
Physics-Informed Solution of The Stationary Fokker-Plank Equation for a Class of Nonlinear Dynamical Systems: An Evaluation Study
H. Alhussein
Mohammed Khasawneh
M. Daqaq
26
1
0
25 Sep 2023
Revisiting PINNs: Generative Adversarial Physics-informed Neural
  Networks and Point-weighting Method
Revisiting PINNs: Generative Adversarial Physics-informed Neural Networks and Point-weighting Method
Wensheng Li
Chao Zhang
Chuncheng Wang
Hanting Guan
Dacheng Tao
DiffM
PINN
18
12
0
18 May 2022
An end-to-end deep learning approach for extracting stochastic dynamical
  systems with $α$-stable Lévy noise
An end-to-end deep learning approach for extracting stochastic dynamical systems with ααα-stable Lévy noise
Cheng Fang
Yubin Lu
Ting Gao
Jinqiao Duan
55
16
0
31 Jan 2022
Temperature Field Inversion of Heat-Source Systems via Physics-Informed
  Neural Networks
Temperature Field Inversion of Heat-Source Systems via Physics-Informed Neural Networks
Xu Liu
Wei Peng
Zhiqiang Gong
Weien Zhou
W. Yao
27
54
0
18 Jan 2022
Solving time dependent Fokker-Planck equations via temporal normalizing
  flow
Solving time dependent Fokker-Planck equations via temporal normalizing flow
Xiaodong Feng
Li Zeng
Tao Zhou
AI4CE
36
25
0
28 Dec 2021
Computing the Invariant Distribution of Randomly Perturbed Dynamical
  Systems Using Deep Learning
Computing the Invariant Distribution of Randomly Perturbed Dynamical Systems Using Deep Learning
Bo Lin
Qianxiao Li
W. Ren
29
8
0
22 Oct 2021
Extracting Stochastic Governing Laws by Nonlocal Kramers-Moyal Formulas
Extracting Stochastic Governing Laws by Nonlocal Kramers-Moyal Formulas
Yubin Lu
Yang Li
Jinqiao Duan
21
16
0
28 Aug 2021
Learning Thermodynamically Stable and Galilean Invariant Partial
  Differential Equations for Non-equilibrium Flows
Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows
Juntao Huang
Zhiting Ma
Y. Zhou
W. Yong
AI4CE
43
16
0
28 Sep 2020
1