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Bayesian Physics-Informed Extreme Learning Machine for Forward and
  Inverse PDE Problems with Noisy Data

Bayesian Physics-Informed Extreme Learning Machine for Forward and Inverse PDE Problems with Noisy Data

14 May 2022
Xu Liu
Wenjuan Yao
Wei Peng
Weien Zhou
    PINN
    AI4CE
ArXivPDFHTML

Papers citing "Bayesian Physics-Informed Extreme Learning Machine for Forward and Inverse PDE Problems with Noisy Data"

7 / 7 papers shown
Title
Quantification of total uncertainty in the physics-informed
  reconstruction of CVSim-6 physiology
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology
Mario De Florio
Zongren Zou
Daniele E. Schiavazzi
George Karniadakis
28
3
0
13 Aug 2024
Weak neural variational inference for solving Bayesian inverse problems
  without forward models: applications in elastography
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography
Vincent C. Scholz
Yaohua Zang
P. Koutsourelakis
41
3
0
30 Jul 2024
A Critical Analysis of the Theoretical Framework of the Extreme Learning
  Machine
A Critical Analysis of the Theoretical Framework of the Extreme Learning Machine
Irina Perfilievaa
N. Madrid
Manuel Ojeda-Aciego
Piotr Artiemjew
Agnieszka Niemczynowicz
21
0
0
25 Jun 2024
Solving partial differential equations with sampled neural networks
Solving partial differential equations with sampled neural networks
Chinmay Datar
Taniya Kapoor
Abhishek Chandra
Qing Sun
Iryna Burak
Erik Lien Bolager
Anna Veselovska
Massimo Fornasier
Felix Dietrich
35
1
0
31 May 2024
Physics and Equality Constrained Artificial Neural Networks: Application
  to Forward and Inverse Problems with Multi-fidelity Data Fusion
Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusion
S. Basir
Inanc Senocak
PINN
AI4CE
34
68
0
30 Sep 2021
Variational Inference at Glacier Scale
Variational Inference at Glacier Scale
D. Brinkerhoff
BDL
24
11
0
16 Aug 2021
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
183
759
0
13 Mar 2020
1