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Bayesian Deep Learning for Partial Differential Equation Parameter
  Discovery with Sparse and Noisy Data
v1v2v3 (latest)

Bayesian Deep Learning for Partial Differential Equation Parameter Discovery with Sparse and Noisy Data

5 August 2021
Christophe Bonneville
Christopher Earls
ArXiv (abs)PDFHTMLGithub (7★)

Papers citing "Bayesian Deep Learning for Partial Differential Equation Parameter Discovery with Sparse and Noisy Data"

9 / 9 papers shown
A Comprehensive Review of Latent Space Dynamics Identification
  Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
Christophe Bonneville
Xiaolong He
April Tran
Jun Sur Richard Park
William D. Fries
...
David M. Bortz
Debojyoti Ghosh
Jiun-Shyan Chen
Jonathan Belof
Youngsoo Choi
AI4CE
340
27
0
16 Mar 2024
Data-Driven Autoencoder Numerical Solver with Uncertainty Quantification
  for Fast Physical Simulations
Data-Driven Autoencoder Numerical Solver with Uncertainty Quantification for Fast Physical Simulations
Christophe Bonneville
Youngsoo Choi
Debojyoti Ghosh
Jonathan Belof
AI4CE
176
3
0
02 Dec 2023
Physics-constrained robust learning of open-form partial differential
  equations from limited and noisy data
Physics-constrained robust learning of open-form partial differential equations from limited and noisy dataThe Physics of Fluids (Phys. Fluids), 2023
Mengge Du
Yuntian Chen
Longfeng Nie
Siyu Lou
Dong-juan Zhang
AI4CE
422
16
0
14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From
  Noisy, Limited Data
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited DataJournal of Computational Physics (JCP), 2023
R. Stephany
Christopher Earls
269
15
0
09 Sep 2023
Bayesian Reasoning for Physics Informed Neural Networks
Bayesian Reasoning for Physics Informed Neural Networks
K. Graczyk
Kornel Witkowski
320
0
0
25 Aug 2023
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics
  Identification through Deep Autoencoder
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep AutoencoderComputer Methods in Applied Mechanics and Engineering (CMAME), 2023
Christophe Bonneville
Youngsoo Choi
Debojyoti Ghosh
Jonathan Belof
AI4CE
220
41
0
10 Aug 2023
Discovering stochastic partial differential equations from limited data
  using variational Bayes inference
Discovering stochastic partial differential equations from limited data using variational Bayes inferenceComputer Methods in Applied Mechanics and Engineering (CMAME), 2023
Yogesh Chandrakant Mathpati
Tapas Tripura
R. Nayek
S. Chakraborty
DiffM
241
15
0
28 Jun 2023
PDE-LEARN: Using Deep Learning to Discover Partial Differential
  Equations from Noisy, Limited Data
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited DataNeural Networks (NN), 2022
R. Stephany
Christopher Earls
298
30
0
09 Dec 2022
PDE-READ: Human-readable Partial Differential Equation Discovery using
  Deep Learning
PDE-READ: Human-readable Partial Differential Equation Discovery using Deep LearningNeural Networks (NN), 2021
R. Stephany
Christopher Earls
DiffMAIMat
437
39
0
01 Nov 2021
1
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