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Physics-informed Information Field Theory for Modeling Physical Systems
  with Uncertainty Quantification

Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification

18 January 2023
A. Alberts
Ilias Bilionis
ArXivPDFHTML

Papers citing "Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification"

7 / 7 papers shown
Title
DGNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling
Yaohua Zang
P. Koutsourelakis
AI4CE
52
0
0
10 Feb 2025
Auto-weighted Bayesian Physics-Informed Neural Networks and robust
  estimations for multitask inverse problems in pore-scale imaging of
  dissolution
Auto-weighted Bayesian Physics-Informed Neural Networks and robust estimations for multitask inverse problems in pore-scale imaging of dissolution
S. Pérez
P. Poncet
17
3
0
24 Aug 2023
An information field theory approach to Bayesian state and parameter
  estimation in dynamical systems
An information field theory approach to Bayesian state and parameter estimation in dynamical systems
Kairui Hao
Ilias Bilionis
4
4
0
03 Jun 2023
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and
  Inverse PDE Problems with Noisy Data
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data
Liu Yang
Xuhui Meng
George Karniadakis
PINN
170
755
0
13 Mar 2020
Dropout as a Bayesian Approximation: Representing Model Uncertainty in
  Deep Learning
Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning
Y. Gal
Zoubin Ghahramani
UQCV
BDL
247
9,042
0
06 Jun 2015
NIFTY - Numerical Information Field Theory - a versatile Python library
  for signal inference
NIFTY - Numerical Information Field Theory - a versatile Python library for signal inference
M. Selig
M. Bell
H. Junklewitz
N. Oppermann
M. Reinecke
M. Greiner
C. Pachajoa
T. Ensslin
55
62
0
18 Jan 2013
MCMC using Hamiltonian dynamics
MCMC using Hamiltonian dynamics
Radford M. Neal
132
3,260
0
09 Jun 2012
1