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

Title
BiLO: Bilevel Local Operator Learning for PDE Inverse Problems. Part II: Efficient Uncertainty Quantification with Low-Rank Adaptation Ray Zirui Zhang Christopher E. Miles Xiaohui Xie John S. Lowengrub 130 0 0 22 Jul 2025
Enhancing Stability of Physics-Informed Neural Network Training Through Saddle-Point Reformulation Dmitry Bylinkin Mikhail Aleksandrov S. Chezhegov Aleksandr Beznosikov 146 0 0 21 Jul 2025
Kernel-Adaptive PI-ELMs for Forward and Inverse Problems in PDEs with Sharp Gradients Vikas Dwivedi Balaji Srinivasan Monica Sigovan Bruno Sixou 166 3 0 14 Jul 2025
Simulating Three-dimensional Turbulence with Physics-informed Neural Networks Sifan Wang Shyam Sankaran Xiantao Fan P. Stinis P. Perdikaris PINN AI4CE 129 6 0 11 Jul 2025
Physics-Informed Neural Networks with Hard Nonlinear Equality and Inequality Constraints Ashfaq Iftakher Rahul Golder Bimol Nath Roy M. M. Faruque Hasan PINN 137 5 0 10 Jul 2025
OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics Rui Zhang Qi Meng Han Wan Yang Liu Zhi-Ming Ma Hao Sun AI4CE 291 0 0 12 Jun 2025
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Salah A Faroughi Farinaz Mostajeran 85 3 0 09 Jun 2025
End-to-End Probabilistic Framework for Learning with Hard Constraints Utkarsh Utkarsh Danielle C. Maddix Ruijun Ma Michael W. Mahoney Yuyang Wang AI4TS BDL 264 1 0 08 Jun 2025
Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints Utkarsh Utkarsh Pengfei Cai Alan Edelman Rafael Gomez-Bombarelli Christopher Rackauckas AI4CE 182 9 0 04 Jun 2025
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Nathan Lichtlé Alexi Canesse Zhe Fu Hossein Nick Zinat Matin M. D. Monache Alexandre M. Bayen 116 0 0 29 May 2025
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Han Wan Rui Zhang Hao Sun AI4CE 295 0 0 27 May 2025
Acoustic Field Reconstruction in Tubes via Physics-Informed Neural Networks Xinmeng Luan Kazuya Yokota Gary Scavone AI4CE 120 4 0 18 May 2025
Dual-Balancing for Physics-Informed Neural NetworksInternational Joint Conference on Artificial Intelligence (IJCAI), 2025 Chenhong Zhou Jie Chen Zaifeng Yang Ching Eng Png PINN AI4CE 335 2 0 16 May 2025
Potential failures of physics-informed machine learning in traffic flow modeling: theoretical and experimental analysis Yuan-Zheng Lei Yaobang Gong Dianwei Chen Yao Cheng Xianfeng Terry Yang AI4CE 168 1 0 16 May 2025
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution BundlesConference on Uncertainty in Artificial Intelligence (UAI), 2025 P. Flores Olga Graf P. Protopapas K. Pichara PINN 244 1 0 09 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex SystemsInternational Joint Conference on Artificial Intelligence (IJCAI), 2025 Han Wan Rui Zhang Qi Wang Wenshu Fan Hao Sun PINN 229 2 0 03 May 2025
Integration Matters for Learning PDEs with Backwards SDEs Sungje Park Stephen Tu PINN 286 0 0 02 May 2025
Reliable and efficient inverse analysis using physics-informed neural networks with normalized distance functions and adaptive weight tuning Shota Deguchi Mitsuteru Asai PINN AI4CE 410 0 0 25 Apr 2025
A Model Zoo on Phase Transitions in Neural Networks Konstantin Schurholt Léo Meynent Yefan Zhou Haiquan Lu Yaoqing Yang Damian Borth 294 2 0 25 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators Ryan Y. Lin Julius Berner Valentin Duruisseaux David Pitt Daniel Leibovici Jean Kossaifi Kamyar Azizzadenesheli Julius Berner AI4CE 225 3 0 11 Apr 2025
F-INR: Functional Tensor Decomposition for Implicit Neural Representations Sai Karthikeya Vemuri Tim Buchner Joachim Denzler AI4CE 237 2 0 27 Mar 2025
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 Siyang Song AI4CE 239 2 0 24 Mar 2025
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs Afrah Farea Saiful Khan Mustafa Serdar Celebi PINN 530 8 0 20 Mar 2025
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 171 6 0 14 Mar 2025
Neural Tangent Kernel of Neural Networks with Loss Informed by Differential Operators Weiye Gan Yicheng Li Q. Lin Zuoqiang Shi 178 0 0 14 Mar 2025
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 396 7 0 02 Mar 2025
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective Sizhuang He Ananyae Kumar Bhartari Bowen Li P. Perdikaris PINN 398 32 0 02 Feb 2025
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 987 5 0 01 Feb 2025
Dynami-CAL GraphNet: A Physics-Informed Graph Neural Network Conserving Linear and Angular Momentum for Dynamical Systems Vinay Sharma Olga Fink AI4CE 185 4 0 13 Jan 2025
ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learningInternational Conference on Learning Representations (ICLR), 2024 Nilo Schwencke Cyril Furtlehner 327 3 0 14 Dec 2024
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 315 5 0 09 Oct 2024
Transport-Embedded Neural Architecture: Redefining the Landscape of physics aware neural models in fluid mechanics Amirmahdi Jafari 156 0 0 05 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 260 4 0 04 Oct 2024
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie GroupsInternational Conference on Learning Representations (ICLR), 2024 Zakhar Shumaylov Peter Zaika James Rowbottom Ferdia Sherry Melanie Weber Carola-Bibiane Schönlieb 255 10 0 03 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text Cooper Lorsung Amir Barati Farimani AI4CE 529 3 0 02 Oct 2024
Physics-Regularized Multi-Modal Image Assimilation for Brain Tumor LocalizationNeural Information Processing Systems (NeurIPS), 2024 Michal Balcerak Tamaz Amiranashvili Andreas Wagner Jonas Weidner Petr Karnakov Johannes C. Paetzold Ivan Ezhov Petros Koumoutsakos Benedikt Wiestler Bjoern Menze AI4CE 360 8 0 30 Sep 2024
SetPINNs: Set-based Physics-informed Neural Networks Mayank Nagda Phil Ostheimer Thomas Specht Frank Rhein Fabian Jirasek Stephan Mandt Marius Kloft Sophie Fellenz PINN 3DPC 574 3 0 30 Sep 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural NetworksNeural Information Processing Systems (NeurIPS), 2024 Youngsik Hwang Dong-Young Lim AI4CE 313 8 0 27 Sep 2024
Scientific Machine Learning SeismologyZisin (Journal of the Seismological Society of Japan 2nd ser ) (Zisin), 2024 Tomohisa Okazaki PINN AI4CE 391 1 0 27 Sep 2024
Robust Neural IDA-PBC: passivity-based stabilization under approximations Santiago Sanchez-Escalonilla Samuele Zoboli B. Jayawardhana 193 5 0 24 Sep 2024
Physics-Informed Variational State-Space Gaussian ProcessesNeural Information Processing Systems (NeurIPS), 2024 Oliver Hamelijnck Arno Solin Theodoros Damoulas 212 5 0 20 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 98 0 0 13 Sep 2024
Why Rectified Power Unit Networks Fail and How to Improve It: An Effective Field Theory Perspective Taeyoung Kim Myungjoo Kang 139 0 0 04 Aug 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics Matthias Karlbauer Danielle C. Maddix Abdul Fatir Ansari Boran Han Gaurav Gupta Yuyang Wang Andrew Stuart Michael W. Mahoney AI4TS 256 4 0 19 Jul 2024
Dynamical Measure Transport and Neural PDE Solvers for Sampling Jingtong Sun Julius Berner Lorenz Richter Marius Zeinhofer Johannes Müller Kamyar Azizzadenesheli Anima Anandkumar OT DiffM 196 17 0 10 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 224 103 0 09 Jul 2024
Parsimonious Universal Function Approximator for Elastic and Elasto-Plastic Cavity Expansion Problems Xiao-Xuan Chen Pin Zhang Hai-Sui Yu Zhen-Yu Yin Brian Sheil 124 4 0 08 Jul 2024
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis Alejandro Ribés Nawfal Benchekroun Théo Delagnes AI4CE 219 2 0 27 Jun 2024
Learning the boundary-to-domain mapping using Lifting Product Fourier Neural Operators for partial differential equations Aditya Kashi Arka Daw Muralikrishnan Gopalakrishnan Meena Hao Lu AI4CE 241 2 0 24 Jun 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study Milad Ramezankhani A. Deodhar Rishi Parekh Dagnachew Birru AI4CE 200 11 0 20 Jun 2024