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Adversarial Uncertainty Quantification in Physics-Informed Neural
  Networks

Adversarial Uncertainty Quantification in Physics-Informed Neural Networks

9 November 2018
Yibo Yang
P. Perdikaris
    AI4CE
    PINN
ArXivPDFHTML

Papers citing "Adversarial Uncertainty Quantification in Physics-Informed Neural Networks"

50 / 135 papers shown
Title
Generative Modeling of Random Fields from Limited Data via Constrained Latent Flow Matching
Generative Modeling of Random Fields from Limited Data via Constrained Latent Flow Matching
James E. Warner
Tristan A. Shah
Patrick E. Leser
Geoffrey F. Bomarito
Joshua D. Pribe
Michael C. Stanley
AI4CE
15
0
0
19 May 2025
SPIEDiff: robust learning of long-time macroscopic dynamics from short-time particle simulations with quantified epistemic uncertainty
SPIEDiff: robust learning of long-time macroscopic dynamics from short-time particle simulations with quantified epistemic uncertainty
Zequn He
Celia Reina
DiffM
AI4CE
7
0
0
16 May 2025
Multi-fidelity Parameter Estimation Using Conditional Diffusion Models
Multi-fidelity Parameter Estimation Using Conditional Diffusion Models
Caroline Tatsuoka
Minglei Yang
Dongbin Xiu
Guannan Zhang
DiffM
49
1
0
02 Apr 2025
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Shaoqian Zhou
Wen You
Ling Guo
Xuhui Meng
DiffM
MedIm
56
0
0
23 Mar 2025
BPINN-EM-Post: Stochastic Electromigration Damage Analysis in the Post-Void Phase based on Bayesian Physics-Informed Neural Network
BPINN-EM-Post: Stochastic Electromigration Damage Analysis in the Post-Void Phase based on Bayesian Physics-Informed Neural Network
Subed Lamichhane
Haotian Lu
Sheldon X.-D. Tan
34
0
0
18 Mar 2025
Model Based and Physics Informed Deep Learning Neural Network Structures
Model Based and Physics Informed Deep Learning Neural Network Structures
A. Mohammad-Djafari
Ning Chu
Li Wang
Caifang Cai
Liang Yu
PINN
41
0
0
13 Aug 2024
Scalable Artificial Intelligence for Science: Perspectives, Methods and
  Exemplars
Scalable Artificial Intelligence for Science: Perspectives, Methods and Exemplars
Wesley Brewer
Aditya Kashi
Sajal Dash
A. Tsaris
Junqi Yin
Mallikarjun Shankar
Feiyi Wang
46
0
0
24 Jun 2024
VS-PINN: A fast and efficient training of physics-informed neural
  networks using variable-scaling methods for solving PDEs with stiff behavior
VS-PINN: A fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior
Seungchan Ko
Sang Hyeon Park
37
2
0
10 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs
  with applications in heterogeneous media
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media
Matthaios Chatzopoulos
P. Koutsourelakis
AI4CE
41
3
0
29 May 2024
Savvy: Trustworthy Autonomous Vehicles Architecture
Savvy: Trustworthy Autonomous Vehicles Architecture
Ali Shoker
Rehana Yasmin
Paulo Esteves-Verissimo
36
0
0
08 Feb 2024
Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networks
Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networks
Youngkyoung Bae
Seungwoong Ha
Hawoong Jeong
73
2
0
02 Feb 2024
Approximation of Solution Operators for High-dimensional PDEs
Approximation of Solution Operators for High-dimensional PDEs
Nathan Gaby
Xiaojing Ye
30
0
0
18 Jan 2024
Robust Physics Informed Neural Networks
Robust Physics Informed Neural Networks
Marcin Lo's
Maciej Paszyñski
PINN
14
0
0
04 Jan 2024
Hutchinson Trace Estimation for High-Dimensional and High-Order
  Physics-Informed Neural Networks
Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks
Zheyuan Hu
Zekun Shi
George Karniadakis
Kenji Kawaguchi
AI4CE
PINN
52
24
0
22 Dec 2023
Uncertainty Quantification of Deep Learning for Spatiotemporal Data:
  Challenges and Opportunities
Uncertainty Quantification of Deep Learning for Spatiotemporal Data: Challenges and Opportunities
Wenchong He
Zhe Jiang
32
1
0
04 Nov 2023
PICProp: Physics-Informed Confidence Propagation for Uncertainty
  Quantification
PICProp: Physics-Informed Confidence Propagation for Uncertainty Quantification
Qianli Shen
Wai Hoh Tang
Zhun Deng
Apostolos F. Psaros
Kenji Kawaguchi
96
1
0
10 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for
  Machine Learning and Process-based Hydrology
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
Xiao Xiang Zhu
AI4CE
28
10
0
08 Oct 2023
Spectral operator learning for parametric PDEs without data reliance
Spectral operator learning for parametric PDEs without data reliance
Junho Choi
Taehyun Yun
Namjung Kim
Youngjoon Hong
27
8
0
03 Oct 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural
  Networks
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks
Zheyuan Hu
K. Shukla
George Karniadakis
Kenji Kawaguchi
PINN
AI4CE
65
88
0
23 Jul 2023
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial
  Networks for Stochastic Differential Equations
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations
R. Gao
Yufeng Wang
Min Yang
Chuanjun Chen
GAN
34
2
0
21 Jul 2023
Worth of knowledge in deep learning
Worth of knowledge in deep learning
Hao Xu
Yuntian Chen
Dong-juan Zhang
18
0
0
03 Jul 2023
Generative Adversarial Reduced Order Modelling
Generative Adversarial Reduced Order Modelling
Dario Coscia
N. Demo
G. Rozza
GAN
AI4CE
64
5
0
25 May 2023
Reversible and irreversible bracket-based dynamics for deep graph neural
  networks
Reversible and irreversible bracket-based dynamics for deep graph neural networks
A. Gruber
Kookjin Lee
N. Trask
AI4CE
33
9
0
24 May 2023
Bounded KRnet and its applications to density estimation and
  approximation
Bounded KRnet and its applications to density estimation and approximation
Lisheng Zeng
Xiaoliang Wan
Tao Zhou
25
5
0
15 May 2023
Learning Stochastic Dynamical System via Flow Map Operator
Learning Stochastic Dynamical System via Flow Map Operator
Yuán Chen
D. Xiu
AI4CE
27
15
0
05 May 2023
A Generative Modeling Framework for Inferring Families of Biomechanical
  Constitutive Laws in Data-Sparse Regimes
A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes
Minglang Yin
Zongren Zou
Enrui Zhang
C. Cavinato
J. Humphrey
George Karniadakis
SyDa
MedIm
AI4CE
53
11
0
04 May 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading
  Hysteretic Systems
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems
Subhayan De
P. Brewick
31
0
0
25 Apr 2023
Efficient Bayesian inference using physics-informed invertible neural
  networks for inverse problems
Efficient Bayesian inference using physics-informed invertible neural networks for inverse problems
Xiaofei Guan
Xintong Wang
Hao Wu
Zihao Yang
Peng Yu
PINN
27
11
0
25 Apr 2023
Generating artificial digital image correlation data using
  physics-guided adversarial networks
Generating artificial digital image correlation data using physics-guided adversarial networks
D. Melching
Erik Schultheis
Eric Breitbarth
GAN
AI4CE
16
2
0
28 Mar 2023
Delay-SDE-net: A deep learning approach for time series modelling with
  memory and uncertainty estimates
Delay-SDE-net: A deep learning approach for time series modelling with memory and uncertainty estimates
M. Eggen
A. Midtfjord
29
2
0
14 Mar 2023
Physics-Informed Deep Learning For Traffic State Estimation: A Survey
  and the Outlook
Physics-Informed Deep Learning For Traffic State Estimation: A Survey and the Outlook
Xuan Di
Rongye Shi
Zhaobin Mo
Yongjie Fu
PINN
AI4TS
AI4CE
32
28
0
03 Mar 2023
A Survey on Uncertainty Quantification Methods for Deep Learning
A Survey on Uncertainty Quantification Methods for Deep Learning
Wenchong He
Zhe Jiang
Tingsong Xiao
Zelin Xu
Yukun Li
BDL
UQCV
AI4CE
19
19
0
26 Feb 2023
Entropy-dissipation Informed Neural Network for McKean-Vlasov Type PDEs
Entropy-dissipation Informed Neural Network for McKean-Vlasov Type PDEs
Zebang Shen
Zhenfu Wang
23
5
0
11 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution
  PDEs
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs
Nathan Gaby
X. Ye
Haomin Zhou
19
6
0
31 Jan 2023
Random Grid Neural Processes for Parametric Partial Differential
  Equations
Random Grid Neural Processes for Parametric Partial Differential Equations
Arnaud Vadeboncoeur
Ieva Kazlauskaite
Y. Papandreou
F. Cirak
Mark Girolami
Ömer Deniz Akyildiz
AI4CE
28
11
0
26 Jan 2023
Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian
  Physics-Informed Neural Networks
Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian Physics-Informed Neural Networks
Olga Graf
P. Flores
P. Protopapas
K. Pichara
PINN
39
6
0
14 Dec 2022
Bayesian Physics Informed Neural Networks for Data Assimilation and
  Spatio-Temporal Modelling of Wildfires
Bayesian Physics Informed Neural Networks for Data Assimilation and Spatio-Temporal Modelling of Wildfires
J. Dabrowski
D. Pagendam
J. Hilton
Conrad Sanderson
Dan MacKinlay
C. Huston
Andrew Bolt
Petra Kuhnert
PINN
33
17
0
02 Dec 2022
Investigating Deep Learning Model Calibration for Classification
  Problems in Mechanics
Investigating Deep Learning Model Calibration for Classification Problems in Mechanics
S. Mohammadzadeh
Peerasait Prachaseree
Emma Lejeune
AI4CE
34
2
0
01 Dec 2022
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast
  and Accurate Prediction of Partial Differential Equations
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast and Accurate Prediction of Partial Differential Equations
Bin Shan
Ye Li
Sheng-Jun Huang
PINN
29
2
0
30 Nov 2022
Knowledge-augmented Deep Learning and Its Applications: A Survey
Knowledge-augmented Deep Learning and Its Applications: A Survey
Zijun Cui
Tian Gao
Kartik Talamadupula
Qiang Ji
44
18
0
30 Nov 2022
Utilising physics-guided deep learning to overcome data scarcity
Utilising physics-guided deep learning to overcome data scarcity
Jinshuai Bai
Laith Alzubaidi
Qingxia Wang
E. Kuhl
Bennamoun
Yuantong T. Gu
PINN
AI4CE
45
3
0
24 Nov 2022
Physics-Informed Koopman Network
Physics-Informed Koopman Network
Yuying Liu
A. Sholokhov
Hassan Mansour
S. Nabi
AI4CE
31
3
0
17 Nov 2022
Augmented Physics-Informed Neural Networks (APINNs): A gating
  network-based soft domain decomposition methodology
Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology
Zheyuan Hu
Ameya Dilip Jagtap
George Karniadakis
Kenji Kawaguchi
34
75
0
16 Nov 2022
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via
  Singular Value Decomposition
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition
Yihang Gao
Ka Chun Cheung
Michael K. Ng
38
15
0
16 Nov 2022
Physics-informed neural networks for operator equations with stochastic
  data
Physics-informed neural networks for operator equations with stochastic data
Paul Escapil-Inchauspé
G. A. Ruz
34
2
0
15 Nov 2022
Adaptive deep density approximation for fractional Fokker-Planck
  equations
Adaptive deep density approximation for fractional Fokker-Planck equations
Li Zeng
Xiaoliang Wan
Tao Zhou
21
5
0
26 Oct 2022
Bayesian deep learning framework for uncertainty quantification in high
  dimensions
Bayesian deep learning framework for uncertainty quantification in high dimensions
Jeahan Jung
Minseok Choi
BDL
UQCV
21
1
0
21 Oct 2022
Neural Networks Based on Power Method and Inverse Power Method for
  Solving Linear Eigenvalue Problems
Neural Networks Based on Power Method and Inverse Power Method for Solving Linear Eigenvalue Problems
Qihong Yang
Yangtao Deng
Yu Yang
Qiaolin He
Shiquan Zhang
24
13
0
22 Sep 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical
  Systems
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems
Hai V. Nguyen
T. Bui-Thanh
39
2
0
09 Aug 2022
Fully probabilistic deep models for forward and inverse problems in
  parametric PDEs
Fully probabilistic deep models for forward and inverse problems in parametric PDEs
Arnaud Vadeboncoeur
Ömer Deniz Akyildiz
Ieva Kazlauskaite
Mark Girolami
F. Cirak
AI4CE
23
17
0
09 Aug 2022
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