Characterizing possible failure modes in physics-informed neural networks

2 September 2021

Aditi S. Krishnapriyan

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

50 / 324 papers shown

Title
Understanding the Difficulty of Solving Cauchy Problems with PINNs Tao Wang Bo-Lu Zhao Sicun Gao Rose Yu 43 1 0 04 May 2024
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations Nima Hosseini Dashtbayaz G. Farhani Boyu Wang Charles Ling 28 1 0 02 May 2024
Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations Ye Liu Jie-Ying Li Li-sheng Zhang Lei‐Lei Guo Zhi-Yong Zhang AI4CE 22 1 0 29 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
PINNACLE: PINN Adaptive ColLocation and Experimental points selection Gregory Kang Ruey Lau Apivich Hemachandra See-Kiong Ng K. H. Low 3DPC 34 18 0 11 Apr 2024
Label Propagation Training Schemes for Physics-Informed Neural Networks and Gaussian Processes Ming Zhong Dehao Liu Raymundo Arroyave U. Braga-Neto AI4CE SSL 26 1 0 08 Apr 2024
Capturing Shock Waves by Relaxation Neural Networks Nan Zhou Zheng Ma PINN 19 1 0 01 Apr 2024
Learning in PINNs: Phase transition, total diffusion, and generalization Sokratis J. Anagnostopoulos Juan Diego Toscano Nikolaos Stergiopulos George Karniadakis 26 10 0 27 Mar 2024
Large-scale flood modeling and forecasting with FloodCast Qingsong Xu Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 46 12 0 18 Mar 2024
Spatio-Temporal Fluid Dynamics Modeling via Physical-Awareness and Parameter Diffusion Guidance Hao Wu Fan Xu Yifan Duan Ziwei Niu Weiyan Wang Gaofeng Lu Kun Wang Yuxuan Liang Yang Wang DiffM AI4CE 42 8 0 18 Mar 2024
Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs S. C. Mouli Danielle C. Maddix S. Alizadeh Gaurav Gupta Andrew Stuart Michael W. Mahoney Yuyang Wang UQCV AI4CE 45 2 0 15 Mar 2024
Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks Siyuan Xing E. Charalampidis 23 0 0 07 Mar 2024
Hybrid data-driven and physics-informed regularized learning of cyclic plasticity with Neural Networks Stefan Hildebrand Sandra Klinge 35 0 0 04 Mar 2024
Med-Real2Sim: Non-Invasive Medical Digital Twins using Physics-Informed Self-Supervised Learning Keying Kuang Frances Dean Jack B. Jedlicki David Ouyang Anthony Philippakis David Sontag Ahmed M. Alaa SyDa PINN 26 0 0 29 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning Wuyang Chen Jialin Song Pu Ren Shashank Subramanian Dmitriy Morozov Michael W. Mahoney AI4CE 52 9 0 24 Feb 2024
PARCv2: Physics-aware Recurrent Convolutional Neural Networks for Spatiotemporal Dynamics Modeling Phong C. H. Nguyen Xinlun Cheng Shahab Azarfar P. Seshadri Y. Nguyen Munho Kim Sanghun Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE PINN 40 1 0 19 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 22 1 0 16 Feb 2024
Exact Enforcement of Temporal Continuity in Sequential Physics-Informed Neural Networks Pratanu Roy Stephen T Castonguay PINN AI4TS 44 9 0 15 Feb 2024
Approximating Families of Sharp Solutions to Fisher's Equation with Physics-Informed Neural Networks Franz M. Rohrhofer S. Posch C. Gößnitzer Bernhard C. Geiger 24 1 0 13 Feb 2024
Physics-Informed Neural Networks with Hard Linear Equality Constraints Hao Chen Gonzalo E. Constante-Flores Canzhou Li PINN 13 11 0 11 Feb 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs) Chengxi Zeng T. Burghardt A. Gambaruto 41 1 0 10 Feb 2024
Navigating Complexity: Toward Lossless Graph Condensation via Expanding Window Matching Yuchen Zhang Tianle Zhang Kai Wang Ziyao Guo Yuxuan Liang Xavier Bresson Wei Jin Yang You 34 23 0 07 Feb 2024
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems Yair Schiff Zhong Yi Wan Jeffrey B. Parker Stephan Hoyer Volodymyr Kuleshov Fei Sha Leonardo Zepeda-Núnez 36 12 0 06 Feb 2024
Densely Multiplied Physics Informed Neural Networks Feilong Jiang Xiaonan Hou Min Xia PINN 19 2 0 06 Feb 2024
The Challenges of the Nonlinear Regime for Physics-Informed Neural Networks Andrea Bonfanti Giuseppe Bruno Cristina Cipriani 32 7 0 06 Feb 2024
Challenges in Training PINNs: A Loss Landscape Perspective Pratik Rathore Weimu Lei Zachary Frangella Lu Lu Madeleine Udell AI4CE PINN ODL 41 39 0 02 Feb 2024
Preconditioning for Physics-Informed Neural Networks Songming Liu Chang Su J. Yao Zhongkai Hao Hang Su Youjia Wu Jun Zhu AI4CE PINN 44 5 0 01 Feb 2024
PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks Sizhuang He Bowen Li Yuhan Chen P. Perdikaris AI4CE PINN 26 29 0 01 Feb 2024
Physics-constrained convolutional neural networks for inverse problems in spatiotemporal partial differential equations Daniel Kelshaw Luca Magri 16 1 0 18 Jan 2024
Structure-Preserving Physics-Informed Neural Networks With Energy or Lyapunov Structure Haoyu Chu Yuto Miyatake Wenjun Cui Shikui Wei Daisuke Furihata PINN 25 2 0 10 Jan 2024
Generalized Lagrangian Neural Networks Shanshan Xiao Jiawei Zhang Yifa Tang PINN 11 1 0 08 Jan 2024
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective Sunwoong Yang Hojin Kim Y. Hong K. Yee R. Maulik Namwoo Kang PINN AI4CE 26 17 0 05 Jan 2024
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning Abdul Hannan Mustajab Hao Lyu Z. Rizvi Frank Wuttke AI4CE PINN 20 9 0 05 Jan 2024
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 36 2 0 29 Dec 2023
PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model M. Hassanaly Peter J. Weddle Ryan N. King Subhayan De Alireza Doostan Corey R. Randall Eric J. Dufek Andrew M. Colclasure Kandler Smith 26 7 0 28 Dec 2023
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations Siqi Chen Bin Shan Ye Li AI4CE PINN 23 1 0 22 Dec 2023
Unsupervised Random Quantum Networks for PDEs Josh Dees Antoine Jacquier Sylvain Laizet 21 2 0 21 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 22 6 0 08 Dec 2023
Data-efficient operator learning for solving high Mach number fluid flow problems Noah Ford Victor J. Leon Honest Mrema Jeffrey Gilbert Alexander New AI4CE 24 0 0 28 Nov 2023
Personalized Predictions of Glioblastoma Infiltration: Mathematical Models, Physics-Informed Neural Networks and Multimodal Scans Ray Zirui Zhang Ivan Ezhov Michal Balcerak Andy Zhu Benedikt Wiestler Bjoern H. Menze John S. Lowengrub AI4CE 47 6 0 28 Nov 2023
One-Shot Transfer Learning for Nonlinear ODEs Wanzhou Lei P. Protopapas Joy Parikh PINN 26 1 0 25 Nov 2023
Exactly conservative physics-informed neural networks and deep operator networks for dynamical systems E. Cardoso-Bihlo Alex Bihlo AI4CE PINN 42 5 0 23 Nov 2023
Neural-Integrated Meshfree (NIM) Method: A differentiable programming-based hybrid solver for computational mechanics Honghui Du QiZhi He AI4CE 60 5 0 21 Nov 2023
Stacked networks improve physics-informed training: applications to neural networks and deep operator networks Amanda A. Howard Sarah H. Murphy Shady E. Ahmed P. Stinis AI4CE 55 18 0 11 Nov 2023
Solution of FPK Equation for Stochastic Dynamics Subjected to Additive Gaussian Noise via Deep Learning Approach Amir H. Khodabakhsh S. Pourtakdoust 19 6 0 08 Nov 2023
Solving High Frequency and Multi-Scale PDEs with Gaussian Processes Shikai Fang Madison Cooley Da Long Shibo Li R. Kirby Shandian Zhe 40 4 0 08 Nov 2023
Lie Point Symmetry and Physics Informed Networks Tara Akhound-Sadegh Laurence Perreault Levasseur Johannes Brandstetter Max Welling Siamak Ravanbakhsh PINN 29 10 0 07 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 16 1 0 04 Nov 2023
Zero Coordinate Shift: Whetted Automatic Differentiation for Physics-informed Operator Learning Kuangdai Leng Mallikarjun Shankar Jeyan Thiyagalingam 28 2 0 01 Nov 2023
Transfer learning for improved generalizability in causal physics-informed neural networks for beam simulations Taniya Kapoor Hongrui Wang Alfredo Núñez R. Dollevoet AI4CE PINN 19 15 0 01 Nov 2023