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Characterizing possible failure modes in physics-informed neural
  networks

Characterizing possible failure modes in physics-informed neural networks

2 September 2021
Aditi S. Krishnapriyan
A. Gholami
Shandian Zhe
Robert M. Kirby
Michael W. Mahoney
    PINN
    AI4CE
ArXivPDFHTML

Papers citing "Characterizing possible failure modes in physics-informed neural networks"

50 / 324 papers shown
Title
Dual-Balancing for Physics-Informed Neural Networks
Dual-Balancing for Physics-Informed Neural Networks
Chenhong Zhou
Jie Chen
Zaifeng Yang
Ching Eng Png
PINN
AI4CE
19
0
0
16 May 2025
Potential failures of physics-informed machine learning in traffic flow modeling: theoretical and experimental analysis
Potential failures of physics-informed machine learning in traffic flow modeling: theoretical and experimental analysis
Yuan-Zheng Lei
Yaobang Gong
Dianwei Chen
Yao Cheng
X. Yang
AI4CE
5
0
0
16 May 2025
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
P. Flores
Olga Graf
P. Protopapas
K. Pichara
PINN
33
0
0
09 May 2025
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method
Conor Rowan
K. Maute
Alireza Doostan
AI4CE
45
0
0
08 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
Han Wan
Rui Zhang
Qi Wang
Y. Liu
Hao Sun
PINN
45
0
0
03 May 2025
Reduced-order structure-property linkages for stochastic metamaterials
Reduced-order structure-property linkages for stochastic metamaterials
Hooman Danesh
Maruthi Annamaraju
T. Brepols
Stefanie Reese
Surya R. Kalidindi
22
0
0
02 May 2025
Integration Matters for Learning PDEs with Backwards SDEs
Integration Matters for Learning PDEs with Backwards SDEs
Sungje Park
Stephen Tu
PINN
53
0
0
02 May 2025
Multi-level datasets training method in Physics-Informed Neural Networks
Multi-level datasets training method in Physics-Informed Neural Networks
Yao-Hsuan Tsai
Hsiao-Tung Juan
Pao-Hsiung Chiu
Chao-An Lin
AI4CE
39
0
0
30 Apr 2025
A Model Zoo on Phase Transitions in Neural Networks
A Model Zoo on Phase Transitions in Neural Networks
Konstantin Schurholt
Léo Meynent
Yefan Zhou
Haiquan Lu
Yaoqing Yang
Damian Borth
68
0
0
25 Apr 2025
Reliable and Efficient Inverse Analysis using Physics-Informed Neural Networks with Distance Functions and Adaptive Weight Tuning
Reliable and Efficient Inverse Analysis using Physics-Informed Neural Networks with Distance Functions and Adaptive Weight Tuning
Shota Deguchi
Mitsuteru Asai
PINN
AI4CE
81
0
0
25 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators
Enabling Automatic Differentiation with Mollified Graph Neural Operators
Ryan Y. Lin
Julius Berner
Valentin Duruisseaux
David Pitt
Daniel Leibovici
Jean Kossaifi
Kamyar Azizzadenesheli
Anima Anandkumar
AI4CE
43
0
0
11 Apr 2025
PINNverse: Accurate parameter estimation in differential equations from noisy data with constrained physics-informed neural networks
PINNverse: Accurate parameter estimation in differential equations from noisy data with constrained physics-informed neural networks
Marius Almanstötter
Roman Vetter
Dagmar Iber
PINN
32
1
0
07 Apr 2025
Integral regularization PINNs for evolution equations
Integral regularization PINNs for evolution equations
Xiaodong Feng
Haojiong Shangguan
Tao Tang
Xiaoliang Wan
PINN
57
0
0
31 Mar 2025
F-INR: Functional Tensor Decomposition for Implicit Neural Representations
F-INR: Functional Tensor Decomposition for Implicit Neural Representations
Sai Karthikeya Vemuri
Tim Buchner
Joachim Denzler
AI4CE
39
0
0
27 Mar 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training
A. Totounferoush
Serge Kotchourko
Michael W. Mahoney
S.
AI4CE
34
0
0
24 Mar 2025
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs
Afrah Farea
Saiful Khan
Mustafa Serdar Celebi
PINN
61
0
0
20 Mar 2025
Localized Physics-informed Gaussian Processes with Curriculum Training for Topology Optimization
Localized Physics-informed Gaussian Processes with Curriculum Training for Topology Optimization
Amin Yousefpour
Shirin Hosseinmardi
Xiangyu Sun
Ramin Bostanabad
38
0
0
18 Mar 2025
Neural Tangent Kernel of Neural Networks with Loss Informed by Differential Operators
Weiye Gan
Yicheng Li
Q. Lin
Zuoqiang Shi
39
0
0
14 Mar 2025
Challenges and Advancements in Modeling Shock Fronts with Physics-Informed Neural Networks: A Review and Benchmarking Study
Challenges and Advancements in Modeling Shock Fronts with Physics-Informed Neural Networks: A Review and Benchmarking Study
J. Abbasi
Ameya D. Jagtap
Ben Moseley
Aksel Hiorth
P. Andersen
PINN
AI4CE
44
1
0
14 Mar 2025
A Multimodal Physics-Informed Neural Network Approach for Mean Radiant Temperature Modeling
Pouya Shaeri
Saud AlKhaled
Ariane Middel
AI4CE
58
1
0
11 Mar 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints
Lei Zhang
Mukesh Ghimire
Wenlong Zhang
Z. Xu
Yi Ren
36
0
0
10 Mar 2025
Curriculum Learning-Driven PIELMs for Fluid Flow Simulations
Vikas Dwivedi
Bruno Sixou
Monica Sigovan
PINN
AI4CE
39
0
0
08 Mar 2025
REAct: Rational Exponential Activation for Better Learning and Generalization in PINNs
Sourav Mishra
Shreya Hallikeri
Suresh Sundaram
AI4CE
36
0
0
04 Mar 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis
Yasamin Jalalian
Juan Felipe Osorio Ramirez
Alexander W. Hsu
Bamdad Hosseini
H. Owhadi
43
0
0
02 Mar 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting
Weiyan Wang
Xingjian Shi
Ruiqi Shu
Yuan Gao
Rui Chen
...
Shuaipeng Li
Yangyu Tao
Di Wang
Hao Wu
Xiaomeng Huang
64
0
0
26 Feb 2025
Machine learning for modelling unstructured grid data in computational physics: a review
Machine learning for modelling unstructured grid data in computational physics: a review
Sibo Cheng
Marc Bocquet
Weiping Ding
Tobias S. Finn
Rui Fu
...
Yong Zeng
Mingrui Zhang
Hao Zhou
Kewei Zhu
Rossella Arcucci
PINN
AI4CE
114
0
0
13 Feb 2025
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective
Sifan Wang
Ananyae Kumar Bhartari
Bowen Li
P. Perdikaris
PINN
56
4
0
02 Feb 2025
On the study of frequency control and spectral bias in Wavelet-Based Kolmogorov Arnold networks: A path to physics-informed KANs
On the study of frequency control and spectral bias in Wavelet-Based Kolmogorov Arnold networks: A path to physics-informed KANs
Juan Daniel Meshir
Abel Palafox
Edgar Alejandro Guerrero
65
3
0
01 Feb 2025
Sub-Sequential Physics-Informed Learning with State Space Model
Sub-Sequential Physics-Informed Learning with State Space Model
Chenhui Xu
Dancheng Liu
Yuting Hu
Jiajie Li
Ruiyang Qin
Qingxiao Zheng
Jinjun Xiong
AI4CE
PINN
152
0
0
01 Feb 2025
Learn Sharp Interface Solution by Homotopy Dynamics
Learn Sharp Interface Solution by Homotopy Dynamics
Chuqi Chen
Yahong Yang
Yang Xiang
Wenrui Hao
ODL
57
1
0
01 Feb 2025
Dynami-CAL GraphNet: A Physics-Informed Graph Neural Network Conserving Linear and Angular Momentum for Dynamical Systems
Dynami-CAL GraphNet: A Physics-Informed Graph Neural Network Conserving Linear and Angular Momentum for Dynamical Systems
Vinay Sharma
Olga Fink
AI4CE
45
1
0
13 Jan 2025
Neural equilibria for long-term prediction of nonlinear conservation laws
Neural equilibria for long-term prediction of nonlinear conservation laws
Jose Antonio Lara Benitez
Junyi Guo
Kareem Hegazy
Ivan Dokmanić
Michael W. Mahoney
Maarten V. de Hoop
38
0
0
12 Jan 2025
Symplectic Neural Flows for Modeling and Discovery
Symplectic Neural Flows for Modeling and Discovery
Priscilla Canizares
Davide Murari
Carola-Bibiane Schönlieb
Ferdia Sherry
Zakhar Shumaylov
80
1
0
21 Dec 2024
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation
  Model
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model
Yuqiu Liu
Jingxuan Xu
Mauricio Soroco
Yunchao Wei
Wuyang Chen
AI4CE
84
2
0
18 Dec 2024
LossLens: Diagnostics for Machine Learning through Loss Landscape Visual
  Analytics
LossLens: Diagnostics for Machine Learning through Loss Landscape Visual Analytics
Tiankai Xie
Jiaqing Chen
Yaoqing Yang
Caleb Geniesse
Ge Shi
...
J. Cava
Michael W. Mahoney
Talita Perciano
Gunther H. Weber
Ross Maciejewski
72
0
0
17 Dec 2024
ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learning
ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learning
Nilo Schwencke
Cyril Furtlehner
64
1
0
14 Dec 2024
Advancing Generalization in PINNs through Latent-Space Representations
Advancing Generalization in PINNs through Latent-Space Representations
Honghui Wang
Yifan Pu
Shiji Song
Gao Huang
AI4CE
PINN
64
0
0
28 Nov 2024
Improving hp-Variational Physics-Informed Neural Networks for
  Steady-State Convection-Dominated Problems
Improving hp-Variational Physics-Informed Neural Networks for Steady-State Convection-Dominated Problems
T. Anandh
Divij Ghose
Himanshu Jain
Pratham Sunkad
Sashikumaar Ganesan
V. John
24
0
0
14 Nov 2024
Open-Source High-Speed Flight Surrogate Modeling Framework
Open-Source High-Speed Flight Surrogate Modeling Framework
Tyler E. Korenyi-Both
Nathan J. Falkiewicz
Matthew C. Jones
AI4CE
29
0
0
06 Nov 2024
Projected Neural Differential Equations for Learning Constrained
  Dynamics
Projected Neural Differential Equations for Learning Constrained Dynamics
Alistair J R White
Anna Buttner
Maximilian Gelbrecht
Valentin Duruisseaux
Niki Kilbertus
Frank Hellmann
Niklas Boers
39
0
0
31 Oct 2024
An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and
  Cahn-Hilliard Phase-Field Models
An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models
Yuwei Geng
Olena Burkovska
L. Ju
Guannan Zhang
M. Gunzburger
23
2
0
11 Oct 2024
PINNing Cerebral Blood Flow: Analysis of Perfusion MRI in Infants using
  Physics-Informed Neural Networks
PINNing Cerebral Blood Flow: Analysis of Perfusion MRI in Infants using Physics-Informed Neural Networks
C. Galazis
Ching-En Chiu
Tomoki Arichi
Anil A. Bharath
Marta Varela
27
0
0
11 Oct 2024
Enhanced physics-informed neural networks (PINNs) for high-order power
  grid dynamics
Enhanced physics-informed neural networks (PINNs) for high-order power grid dynamics
Vineet Jagadeesan Nair
PINN
38
0
0
10 Oct 2024
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed
  Methods
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods
Lise Le Boudec
Emmanuel de Bezenac
Louis Serrano
Ramon Daniel Regueiro-Espino
Yuan Yin
Patrick Gallinari
AI4CE
30
2
0
09 Oct 2024
Quantifying Training Difficulty and Accelerating Convergence in Neural
  Network-Based PDE Solvers
Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers
Chuqi Chen
Qixuan Zhou
Yahong Yang
Yang Xiang
Tao Luo
29
1
0
08 Oct 2024
Transport-Embedded Neural Architecture: Redefining the Landscape of
  physics aware neural models in fluid mechanics
Transport-Embedded Neural Architecture: Redefining the Landscape of physics aware neural models in fluid mechanics
Amirmahdi Jafari
26
0
0
05 Oct 2024
FastLRNR and Sparse Physics Informed Backpropagation
FastLRNR and Sparse Physics Informed Backpropagation
Woojin Cho
Kookjin Lee
Noseong Park
Donsub Rim
Gerrit Welper
AI4CE
21
0
0
05 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases
Madison Cooley
Varun Shankar
Robert M. Kirby
Shandian Zhe
24
2
0
04 Oct 2024
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Zakhar Shumaylov
Peter Zaika
James Rowbottom
Ferdia Sherry
Melanie Weber
Carola-Bibiane Schönlieb
34
1
0
03 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text
Cooper Lorsung
Amir Barati Farimani
AI4CE
68
1
0
02 Oct 2024
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