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
Convergence and error analysis of PINNs Nathan Doumèche Gérard Biau D. Boyer PINN AI4CE 42 17 0 02 May 2023
$Toward $L_\infty$-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields$ Toward $L_\infty$ -recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields Kefan Dong Tengyu Ma 40 4 0 29 Apr 2023
MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling Yicun Huang Changfu Zou Yongqian Li T. Wik PINN 31 10 0 27 Apr 2023
iPINNs: Incremental learning for Physics-informed neural networks Aleksandr Dekhovich M. Sluiter David Tax Miguel A. Bessa AI4CE DiffM 20 10 0 10 Apr 2023
A multifidelity approach to continual learning for physical systems Amanda A. Howard Yucheng Fu P. Stinis AI4CE CLL 44 8 0 08 Apr 2023
EPINN-NSE: Enhanced Physics-Informed Neural Networks for Solving Navier-Stokes Equations Ayoub Farkane Mounir Ghogho M. Oudani M. Boutayeb PINN 22 5 0 07 Apr 2023
Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes Yifan Chen H. Owhadi F. Schafer 37 30 0 03 Apr 2023
GAS: A Gaussian Mixture Distribution-Based Adaptive Sampling Method for PINNs Yuling Jiao Dingwei Li Xiliang Lu J. Yang Cheng Yuan 34 9 0 28 Mar 2023
Probing optimisation in physics-informed neural networks Nayara Fonseca V. Guidetti Will Trojak 36 1 0 27 Mar 2023
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time Y. Qian Yongchao Zhang Yuanfei Huang S. Dong PINN 18 1 0 22 Mar 2023
NSGA-PINN: A Multi-Objective Optimization Method for Physics-Informed Neural Network Training B.-L. Lu Christian Moya Guang Lin PINN 37 11 0 03 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance Panos Pantidis Habiba Eldababy Christopher Miguel Tagle M. Mobasher 35 20 0 03 Mar 2023
Physics-Informed Deep Learning For Traffic State Estimation: A Survey and the Outlook Xuan Di Rongye Shi Zhaobin Mo Yongjie Fu PINN AI4TS AI4CE 29 28 0 03 Mar 2023
Physics-informed neural networks for solving forward and inverse problems in complex beam systems Taniya Kapoor Hongrui Wang A. Núñez R. Dollevoet AI4CE PINN 23 46 0 02 Mar 2023
A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions Michael Penwarden Ameya Dilip Jagtap Shandian Zhe George Karniadakis Robert M. Kirby PINN AI4CE 23 57 0 28 Feb 2023
A Survey on Uncertainty Quantification Methods for Deep Learning Wenchong He Zhe Jiang Tingsong Xiao Zelin Xu Yukun Li BDL UQCV AI4CE 19 18 0 26 Feb 2023
Achieving High Accuracy with PINNs via Energy Natural Gradients Johannes Müller Marius Zeinhofer 13 4 0 25 Feb 2023
Ensemble learning for Physics Informed Neural Networks: a Gradient Boosting approach Zhiwei Fang Sizhuang He P. Perdikaris PINN AI4CE 11 5 0 25 Feb 2023
Q-Flow: Generative Modeling for Differential Equations of Open Quantum Dynamics with Normalizing Flows Owen Dugan Peter Y. Lu Rumen Dangovski Di Luo M. Soljavcić AI4CE 19 4 0 23 Feb 2023
Learning Physical Models that Can Respect Conservation Laws Derek Hansen Danielle C. Maddix S. Alizadeh Gaurav Gupta Michael W. Mahoney AI4CE 36 42 0 21 Feb 2023
Quantifying uncertainty for deep learning based forecasting and flow-reconstruction using neural architecture search ensembles R. Maulik Romain Egele Krishnan Raghavan Prasanna Balaprakash UQCV AI4TS AI4CE 24 6 0 20 Feb 2023
Physics-aware deep learning framework for linear elasticity Anisha Roy Rikhi Bose AI4CE 35 8 0 19 Feb 2023
On the Generalization of PINNs outside the training domain and the Hyperparameters influencing it Andrea Bonfanti Roberto Santana M. Ellero Babak Gholami AI4CE PINN 40 3 0 15 Feb 2023
Unsupervised physics-informed neural network in reaction-diffusion biology models (Ulcerative colitis and Crohn's disease cases) A preliminary study A. Rebai Louay Boukhris Radhia Toujani Ahmed Gueddiche Fayad Ali Banna Fares Souissi Ahmed Lasram Elyes Ben Rayana H. Zaag AI4CE PINN 13 1 0 15 Feb 2023
Entropy-dissipation Informed Neural Network for McKean-Vlasov Type PDEs Zebang Shen Zhenfu Wang 19 5 0 11 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 51 4 0 10 Feb 2023
Can Physics-Informed Neural Networks beat the Finite Element Method? T. G. Grossmann U. J. Komorowska J. Latz Carola-Bibiane Schönlieb PINN AI4CE 23 86 0 08 Feb 2023
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation Zhi-Hao Gao Tao Tang Liang Yan Tao Zhou 37 18 0 03 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series Yesom Park Jaemoo Choi Changyeon Yoon Changhoon Song Myung-joo Kang AI4TS AI4CE 27 3 0 02 Feb 2023
Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning Hrishikesh Viswanath Md Ashiqur Rahman Abhijeet Vyas Andrey Shor Beatriz Medeiros Stephanie Hernandez S. Prameela Aniket Bera PINN AI4CE 47 4 0 30 Jan 2023
TransNet: Transferable Neural Networks for Partial Differential Equations Zezhong Zhang F. Bao L. Ju Guannan Zhang 16 3 0 27 Jan 2023
Characteristics-Informed Neural Networks for Forward and Inverse Hyperbolic Problems U. Braga-Neto PINN AI4CE 30 8 0 28 Dec 2022
Neuroevolution of Physics-Informed Neural Nets: Benchmark Problems and Comparative Results Nicholas Sung Jian Cheng Wong C. Ooi Abhishek Gupta P. Chiu Yew-Soon Ong PINN 28 6 0 15 Dec 2022
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 48 20 0 14 Dec 2022
Harmonic (Quantum) Neural Networks Atiyo Ghosh Antonio A. Gentile M. Dagrada Chul Lee S. Kim Hyukgeun Cha Yunjun Choi Brad Kim J. Kye V. Elfving AI4CE 35 1 0 14 Dec 2022
AutoPINN: When AutoML Meets Physics-Informed Neural Networks Xinle Wu Dalin Zhang Miao Zhang Chenjuan Guo Shuai Zhao Yi Zhang Huai Wang B. Yang PINN 20 3 0 08 Dec 2022
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
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 26 2 0 30 Nov 2022
Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators Ha Maust Zong-Yi Li Yixuan Wang Daniel Leibovici O. Bruno T. Hou Anima Anandkumar AI4CE 23 11 0 29 Nov 2022
Physics-informed Neural Networks with Unknown Measurement Noise Philipp Pilar Niklas Wahlström PINN 23 6 0 28 Nov 2022
Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs Robert Joseph George Jiawei Zhao Jean Kossaifi Zong-Yi Li Anima Anandkumar AI4CE 32 9 0 28 Nov 2022
Neural DAEs: Constrained neural networks Tue Boesen E. Haber Uri M. Ascher 36 3 0 25 Nov 2022
Design of Turing Systems with Physics-Informed Neural Networks J. Kho W. Koh Jian Cheng Wong P. Chiu C. Ooi DiffM AI4CE 19 2 0 24 Nov 2022
Neural tangent kernel analysis of PINN for advection-diffusion equation M. Saadat B. Gjorgiev L. Das G. Sansavini 33 0 0 21 Nov 2022
A Curriculum-Training-Based Strategy for Distributing Collocation Points during Physics-Informed Neural Network Training Marcus Münzer C. Bard 23 4 0 21 Nov 2022
Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks Junwoo Cho Seungtae Nam Hyunmo Yang S. Yun Youngjoon Hong Eunbyung Park PINN AI4CE 23 8 0 16 Nov 2022
Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications Zhongkai Hao Songming Liu Yichi Zhang Chengyang Ying Yao Feng Hang Su Jun Zhu PINN AI4CE 35 89 0 15 Nov 2022
First principles physics-informed neural network for quantum wavefunctions and eigenvalue surfaces M. Mattheakis G. R. Schleder Daniel T. Larson E. Kaxiras 22 3 0 08 Nov 2022
A Deep Double Ritz Method (D $^2$ RM) for solving Partial Differential Equations using Neural Networks C. Uriarte David Pardo I. Muga J. Muñoz‐Matute 36 18 0 07 Nov 2022
Neural PDE Solvers for Irregular Domains Biswajit Khara Ethan Herron Zhanhong Jiang Aditya Balu Chih-Hsuan Yang ... Anushrut Jignasu S. Sarkar C. Hegde A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 24 7 0 07 Nov 2022