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Neural Operator induced Gaussian Process framework for probabilistic
  solution of parametric partial differential equations

Neural Operator induced Gaussian Process framework for probabilistic solution of parametric partial differential equations

24 April 2024
Sawan Kumar
R. Nayek
Souvik Chakraborty
ArXivPDFHTML

Papers citing "Neural Operator induced Gaussian Process framework for probabilistic solution of parametric partial differential equations"

6 / 6 papers shown
Title
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Emilia Magnani
Marvin Pfortner
Tobias Weber
Philipp Hennig
UQCV
52
1
0
07 Jun 2024
Generative adversarial wavelet neural operator: Application to fault
  detection and isolation of multivariate time series data
Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data
Jyoti Rani
Tapas Tripura
H. Kodamana
Souvik Chakraborty
21
5
0
08 Jan 2024
A foundational neural operator that continuously learns without
  forgetting
A foundational neural operator that continuously learns without forgetting
Tapas Tripura
Souvik Chakraborty
CLL
43
7
0
29 Oct 2023
Fourier Neural Operator with Learned Deformations for PDEs on General
  Geometries
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
Zong-Yi Li
Daniel Zhengyu Huang
Burigede Liu
Anima Anandkumar
AI4CE
108
243
0
11 Jul 2022
Fourier Neural Operator for Parametric Partial Differential Equations
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
203
2,254
0
18 Oct 2020
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
1