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Characterizing possible failure modes in physics-informed neural
  networks
v1v2 (latest)

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
    PINNAI4CE
ArXiv (abs)PDFHTML

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

50 / 267 papers shown
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed MethodsInternational Conference on Learning Representations (ICLR), 2024
Lise Le Boudec
Emmanuel de Bézenac
Louis Serrano
Ramon Daniel Regueiro-Espino
Yuan Yin
Patrick Gallinari
AI4CE
425
6
0
24 Dec 2025
Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solvers
Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solvers
Naman Choudhary
Vedant Singh
Ameet Talwalkar
Nicholas Matthew Boffi
M. Khodak
Tanya Marwah
DiffMAI4CE
77
0
0
29 Nov 2025
Dynamical Implicit Neural Representations
Dynamical Implicit Neural Representations
Yesom Park
Kelvin Kan
Thomas Flynn
Yi Huang
Shinjae Yoo
Stanley Osher
Xihaier Luo
AI4CE
58
0
0
26 Nov 2025
Towards a Foundation Model for Partial Differential Equations Across Physics Domains
Towards a Foundation Model for Partial Differential Equations Across Physics Domains
Eduardo Soares
E. V. Brazil
Victor Shirasuna
Breno W. S. R. de Carvalho
Cristiano Malossi
AI4CE
111
0
0
26 Nov 2025
Physics-Informed Spiking Neural Networks via Conservative Flux Quantization
Physics-Informed Spiking Neural Networks via Conservative Flux Quantization
Chi Zhang
Lin Wang
PINN
355
0
0
26 Nov 2025
Designing Preconditioners for SGD: Local Conditioning, Noise Floors, and Basin Stability
Designing Preconditioners for SGD: Local Conditioning, Noise Floors, and Basin Stability
Mitchell Scott
Tianshi Xu
Z. Tang
Alexandra Pichette-Emmons
Qiang Ye
Y. Saad
Yuanzhe Xi
AI4CE
268
1
0
24 Nov 2025
RRaPINNs: Residual Risk-Aware Physics Informed Neural Networks
RRaPINNs: Residual Risk-Aware Physics Informed Neural Networks
Ange-Clement Akazan
Issa Karambal
Jean Medard Ngnotchouye
Abebe Geletu Selassie. W
AI4CE
388
0
0
23 Nov 2025
Physics-Informed Neural ODEs with Scale-Aware Residuals for Learning Stiff Biophysical Dynamics
Physics-Informed Neural ODEs with Scale-Aware Residuals for Learning Stiff Biophysical Dynamics
Kamalpreet Singh Kainth
Prathamesh Dinesh Joshi
Raj Abhijit Dandekar
Rajat Dandekar
Sreedat Panat
AI4CE
140
0
0
13 Nov 2025
Improving the accuracy and generalizability of molecular property regression models with a substructure-substitution-rule-informed framework
Improving the accuracy and generalizability of molecular property regression models with a substructure-substitution-rule-informed frameworkAnnual Conference of the IEEE Industrial Electronics Society (IECON), 2022
Xiaoyu Fan
Lin Guo
Ruizhen Jia
Yang Tian
Zhihao Yang
Boxue Tian
Boxue Tian
AI4CE
309
0
0
11 Nov 2025
Neural-Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning
Neural-Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning
Kianoosh Taghikhani
Yusuke Yamazaki
Jerry Paul Varghese
Markus Apel
Reza Najian Asl
Shahed Rezaei
AI4CE
233
4
0
10 Nov 2025
Accelerating scientific discovery with the common task framework
Accelerating scientific discovery with the common task framework
J. Nathan Kutz
Peter W. Battaglia
M. Brenner
Kevin Carlberg
Aric Hagberg
...
Frank Noe
Max Welling
Laure Zanna
Francis Zhu
Steven Brunton
179
5
0
06 Nov 2025
Uncertainties in Physics-informed Inverse Problems: The Hidden Risk in Scientific AI
Uncertainties in Physics-informed Inverse Problems: The Hidden Risk in Scientific AI
Yoh-ichi Mototake
Makoto Sasaki
PINNAI4CE
331
0
0
06 Nov 2025
Fast PINN Eigensolvers via Biconvex Reformulation
Fast PINN Eigensolvers via Biconvex Reformulation
Akshay Sai Banderwaar
Abhishek Gupta
95
0
0
02 Nov 2025
Neural Green's Functions
Neural Green's Functions
Seungwoo Yoo
Kyeongmin Yeo
Jisung Hwang
Minhyuk Sung
116
0
0
02 Nov 2025
PDE-SHARP: PDE Solver Hybrids through Analysis and Refinement Passes
PDE-SHARP: PDE Solver Hybrids through Analysis and Refinement Passes
Shaghayegh Fazliani
Madeleine Udell
242
1
0
31 Oct 2025
Uncertainty-Aware Diagnostics for Physics-Informed Machine Learning
Uncertainty-Aware Diagnostics for Physics-Informed Machine Learning
Mara Daniels
Liam Hodgkinson
Michael W. Mahoney
PINNAI4CE
341
0
0
30 Oct 2025
Graph Network-based Structural Simulator: Graph Neural Networks for Structural Dynamics
Graph Network-based Structural Simulator: Graph Neural Networks for Structural Dynamics
Alessandro Lucchetti
Francesco Cadini
Marco Giglio
Luca Lomazzi
AI4CE
123
0
0
29 Oct 2025
LieSolver: A PDE-constrained solver for IBVPs using Lie symmetries
LieSolver: A PDE-constrained solver for IBVPs using Lie symmetries
R. P. Klausen
Ivan Timofeev
Johannes Frank
Jonas R. Naujoks
Thomas Wiegand
Sebastian Lapuschkin
Wojciech Samek
AI4CE
123
0
0
29 Oct 2025
EddyFormer: Accelerated Neural Simulations of Three-Dimensional Turbulence at Scale
EddyFormer: Accelerated Neural Simulations of Three-Dimensional Turbulence at Scale
Yiheng Du
Aditi Krishnapriyan
AI4CE
139
0
0
28 Oct 2025
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
Andrea Bonfanti
Ismael Medina
Roman List
Björn Staeves
Roberto Santana
M. Ellero
122
0
0
24 Oct 2025
Iterative Training of Physics-Informed Neural Networks with Fourier-enhanced Features
Iterative Training of Physics-Informed Neural Networks with Fourier-enhanced Features
Yulun Wu
Miguel Aguiar
Karl H.Johansson
Matthieu Barreau
142
0
0
22 Oct 2025
Residual-guided AI-CFD hybrid method enables stable and scalable simulations: from 2D benchmarks to 3D applications
Residual-guided AI-CFD hybrid method enables stable and scalable simulations: from 2D benchmarks to 3D applications
Shilaj Baral
Youngkyu Lee
Sangam Khanal
Joongoo Jeon
AI4CE
150
0
0
21 Oct 2025
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator
Ming Zhong
Zhenya Yan
AI4CE
120
0
0
19 Oct 2025
Deep Neural ODE Operator Networks for PDEs
Deep Neural ODE Operator Networks for PDEs
Ziqian Li
Kang Liu
Yongcun Song
Hangrui Yue
Enrique Zuazua
AI4CE
153
0
0
17 Oct 2025
Physics-augmented Multi-task Gaussian Process for Modeling Spatiotemporal Dynamics
Physics-augmented Multi-task Gaussian Process for Modeling Spatiotemporal Dynamics
Xizhuo Zhang
Bing Yao
AI4CE
109
0
0
15 Oct 2025
Tensor Gaussian Processes: Efficient Solvers for Nonlinear PDEs
Tensor Gaussian Processes: Efficient Solvers for Nonlinear PDEs
Qiwei Yuan
Zhitong Xu
Yinghao Chen
Yiming Xu
Houman Owhadi
Shandian Zhe
100
0
0
15 Oct 2025
AB-PINNs: Adaptive-Basis Physics-Informed Neural Networks for Residual-Driven Domain Decomposition
AB-PINNs: Adaptive-Basis Physics-Informed Neural Networks for Residual-Driven Domain Decomposition
Jonah Botvinick-Greenhouse
Wael H. Ali
M. Benosman
S. Mowlavi
AI4CE
146
1
0
10 Oct 2025
HSNet: Heterogeneous Subgraph Network for Single Image Super-resolution
HSNet: Heterogeneous Subgraph Network for Single Image Super-resolution
Qiongyang Hu
Wenyang Liu
Wenbin Zou
Yuejiao Su
Lap-Pui Chau
Yi Wang
184
1
0
08 Oct 2025
"Your Doctor is Spying on You": An Analysis of Data Practices in Mobile Healthcare Applications
"Your Doctor is Spying on You": An Analysis of Data Practices in Mobile Healthcare Applications
Luke Stevenson
Sanchari Das
108
0
0
07 Oct 2025
Physics-Informed Machine Learning in Biomedical Science and Engineering
Physics-Informed Machine Learning in Biomedical Science and Engineering
Nazanin Ahmadi
Qianying Cao
J. Humphrey
George Karniadakis
PINNAI4CE
179
1
0
06 Oct 2025
Differentiable physics for sound field reconstruction
Differentiable physics for sound field reconstruction
Samuel A. Verburg
Efren Fernandez-Grande
Peter Gerstoft
AI4CE
171
0
0
06 Oct 2025
FieldFormer: Physics-Informed Transformers for Spatio-Temporal Field Reconstruction from Sparse Sensors
FieldFormer: Physics-Informed Transformers for Spatio-Temporal Field Reconstruction from Sparse Sensors
Ankit Bhardwaj
Ananth Balashankar
L. Subramanian
AI4CE
141
0
0
04 Oct 2025
Lang-PINN: From Language to Physics-Informed Neural Networks via a Multi-Agent Framework
Lang-PINN: From Language to Physics-Informed Neural Networks via a Multi-Agent Framework
Xin He
Liangliang You
Hongduan Tian
Bo Han
Ivor Tsang
Yew-Soon Ong
PINNAI4CE
215
1
0
03 Oct 2025
Training Variation of Physically-Informed Deep Learning Models
Training Variation of Physically-Informed Deep Learning Models
Ashley Lenau
Dennis Dimiduk
Stephen R. Niezgoda
141
0
0
03 Oct 2025
RheOFormer: A generative transformer model for simulation of complex fluids and flows
RheOFormer: A generative transformer model for simulation of complex fluids and flows
Maedeh Saberi
Amir Barati Farimani
Safa Jamali
AI4CE
130
0
0
01 Oct 2025
Gated X-TFC: Soft Domain Decomposition for Forward and Inverse Problems in Sharp-Gradient PDEs
Gated X-TFC: Soft Domain Decomposition for Forward and Inverse Problems in Sharp-Gradient PDEs
Vikas Dwivedi
Enrico Schiassi
Monica Sigovan
Bruno Sixou
96
0
0
01 Oct 2025
Towards Generalizable PDE Dynamics Forecasting via Physics-Guided Invariant Learning
Towards Generalizable PDE Dynamics Forecasting via Physics-Guided Invariant Learning
Siyang Li
Yize Chen
Yan Guo
Ming Huang
Hui Xiong
AI4CEAI4TS
117
0
0
29 Sep 2025
Quantifying constraint hierarchies in Bayesian PINNs via per-constraint Hessian decomposition
Quantifying constraint hierarchies in Bayesian PINNs via per-constraint Hessian decomposition
Filip Landgren
PINN
223
0
0
28 Sep 2025
Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
Abhijit Sen
Illya V. Lukin
K. Jacobs
Lev Kaplan
Andrii G. Sotnikov
Denys I. Bondar
AI4TSAI4CE
108
0
0
23 Sep 2025
Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation
Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation
Milad Leyli-abadi
Antoine Marot
Jérôme Picault
AI4CE
92
0
0
23 Sep 2025
Breaking the Discretization Barrier of Continuous Physics Simulation Learning
Breaking the Discretization Barrier of Continuous Physics Simulation Learning
Fan Xu
Hao Wu
Nan Wang
Lilan Peng
Kun Wang
Wei Gong
Xibin Zhao
AI4CE
156
4
0
22 Sep 2025
SciML Agents: Write the Solver, Not the Solution
SciML Agents: Write the Solver, Not the Solution
Saarth Gaonkar
Xiang Zheng
Haocheng Xi
Rishabh Tiwari
Kurt Keutzer
Dmitriy Morozov
Michael W. Mahoney
Amir Gholami
LLMAG
174
3
0
12 Sep 2025
Continuous-Time Value Iteration for Multi-Agent Reinforcement Learning
Continuous-Time Value Iteration for Multi-Agent Reinforcement Learning
Xuefeng Wang
Lei Zhang
Henglin Pu
Ahmed H. Qureshi
Husheng Li
202
0
0
11 Sep 2025
Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks
Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks
Liya Gaynutdinova
M. Doškář
O. Rokoš
Ivana Pultarová
PINNAI4CE
300
1
0
09 Sep 2025
A Physics-Informed Neural Networks-Based Model Predictive Control Framework for $SIR$ Epidemics
A Physics-Informed Neural Networks-Based Model Predictive Control Framework for SIRSIRSIR Epidemics
Aiping Zhong
B. She
Philip E. Paré
PINN
154
0
0
06 Sep 2025
An Evolutionary Multi-objective Optimization for Replica-Exchange-based Physics-informed Operator Learning Network
An Evolutionary Multi-objective Optimization for Replica-Exchange-based Physics-informed Operator Learning Network
B.-L. Lu
Changhong Mou
Guang Lin
159
2
0
31 Aug 2025
Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements
Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements
Xuyang Li
Mahdi Masmoudi
Rami Gharbi
N. Lajnef
Vishnu Boddeti
AI4CE
176
0
0
29 Aug 2025
Physics-Informed DeepONet Coupled with FEM for Convective Transport in Porous Media with Sharp Gaussian Sources
Physics-Informed DeepONet Coupled with FEM for Convective Transport in Porous Media with Sharp Gaussian Sources
Erdi Kara
Panos Stinis
139
0
0
27 Aug 2025
Data-Augmented Few-Shot Neural Emulator for Computer-Model System Identification
Data-Augmented Few-Shot Neural Emulator for Computer-Model System Identification
Sanket Jantre
Deepak Akhare
Zhiyuan Wang
Xiaoning Qian
Nathan M. Urban
125
0
0
26 Aug 2025
PIANO: Physics Informed Autoregressive Network
PIANO: Physics Informed Autoregressive Network
Mayank Nagda
Jephte Abijuru
Phil Ostheimer
Matthias Kirchler
Sophie Fellenz
PINNAI4CE
192
0
0
22 Aug 2025
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