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2109.01050
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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
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Papers citing
"Characterizing possible failure modes in physics-informed neural networks"
50 / 257 papers shown
Title
Efficient Error Certification for Physics-Informed Neural Networks
International Conference on Machine Learning (ICML), 2023
Francisco Eiras
Adel Bibi
Rudy Bunel
Krishnamurthy Dvijotham
Juil Sock
M. P. Kumar
PINN
259
3
0
17 May 2023
Physics Informed Token Transformer for Solving Partial Differential Equations
Cooper Lorsung
Zijie Li
Amir Barati Farimani
AI4CE
366
24
0
15 May 2023
Toward
L
∞
L_\infty
L
∞
-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields
Annual Conference Computational Learning Theory (COLT), 2023
Kefan Dong
Tengyu Ma
291
4
0
29 Apr 2023
MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2023
Yicun Huang
Changfu Zou
Yongqian Li
T. Wik
PINN
220
25
0
27 Apr 2023
EPINN-NSE: Enhanced Physics-Informed Neural Networks for Solving Navier-Stokes Equations
Ayoub Farkane
Mounir Ghogho
M. Oudani
M. Boutayeb
PINN
156
5
0
07 Apr 2023
Probing optimisation in physics-informed neural networks
Nayara Fonseca
V. Guidetti
Will Trojak
133
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
173
3
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
192
22
0
03 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance
Social Science Research Network (SSRN), 2023
Panos Pantidis
Habiba Eldababy
Christopher Miguel Tagle
M. Mobasher
211
26
0
03 Mar 2023
A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions
Journal of Computational Physics (JCP), 2023
Michael Penwarden
Ameya Dilip Jagtap
Shandian Zhe
George Karniadakis
Robert M. Kirby
PINN
AI4CE
230
82
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
545
51
0
26 Feb 2023
Achieving High Accuracy with PINNs via Energy Natural Gradients
International Conference on Machine Learning (ICML), 2023
Johannes Müller
Marius Zeinhofer
252
9
0
25 Feb 2023
Ensemble learning for Physics Informed Neural Networks: a Gradient Boosting approach
Zhiwei Fang
Sizhuang He
P. Perdikaris
PINN
AI4CE
142
13
0
25 Feb 2023
Learning Physical Models that Can Respect Conservation Laws
International Conference on Machine Learning (ICML), 2023
Derek Hansen
Danielle C. Maddix
S. Alizadeh
Gaurav Gupta
Michael W. Mahoney
AI4CE
326
60
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
Dali Wang
UQCV
AI4TS
AI4CE
156
8
0
20 Feb 2023
Physics-aware deep learning framework for linear elasticity
Anisha Roy
Rikhi Bose
AI4CE
210
9
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
251
15
0
15 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2023
Rui Zhang
Qi Meng
Rongchan Zhu
Yue Wang
Wenlei Shi
Shihua Zhang
Zhi-Ming Ma
Tie-Yan Liu
DiffM
AI4CE
680
11
0
10 Feb 2023
Can Physics-Informed Neural Networks beat the Finite Element Method?
IMA Journal of Applied Mathematics (IMA J. Appl. Math.), 2023
T. G. Grossmann
Urszula Julia Komorowska
J. Latz
Carola-Bibiane Schönlieb
PINN
AI4CE
247
150
0
08 Feb 2023
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation
Communication on Applied Mathematics and Computation (CAMC), 2023
Zhi-Hao Gao
Tao Tang
Liang Yan
Tao Zhou
218
27
0
03 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
264
7
0
30 Jan 2023
Characteristics-Informed Neural Networks for Forward and Inverse Hyperbolic Problems
U. Braga-Neto
PINN
AI4CE
187
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
143
10
0
15 Dec 2022
Guiding continuous operator learning through Physics-based boundary constraints
International Conference on Learning Representations (ICLR), 2022
Nadim Saad
Gaurav Gupta
S. Alizadeh
Danielle C. Maddix
AI4CE
213
26
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
168
2
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
91
4
0
08 Dec 2022
Bayesian Physics Informed Neural Networks for Data Assimilation and Spatio-Temporal Modelling of Wildfires
Spatial Statistics (Spatial Stat.), 2022
J. Dabrowski
D. Pagendam
J. Hilton
Conrad Sanderson
Dan MacKinlay
C. Huston
Andrew Bolt
Petra Kuhnert
PINN
220
28
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
161
7
0
30 Nov 2022
FC-PINO: High Precision Physics-Informed Neural Operators via Fourier Continuation
Ha Maust
Zong-Yi Li
Valentin Duruisseaux
Daniel Leibovici
Yixuan Wang
Daniel Leibovici
O. Bruno
Thomas Y. Hou
Anima Anandkumar
AI4CE
160
11
0
29 Nov 2022
Physics-informed Neural Networks with Unknown Measurement Noise
Conference on Learning for Dynamics & Control (L4DC), 2022
Philipp Pilar
Niklas Wahlström
PINN
346
12
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
236
20
0
28 Nov 2022
Neural DAEs: Constrained neural networks
Tue Boesen
E. Haber
Uri M. Ascher
302
3
0
25 Nov 2022
Design of Turing Systems with Physics-Informed Neural Networks
IEEE Symposium Series on Computational Intelligence (IEEE SSCI), 2022
J. Kho
W. Koh
Jian Cheng Wong
P. Chiu
C. Ooi
DiffM
AI4CE
112
4
0
24 Nov 2022
Neural tangent kernel analysis of PINN for advection-diffusion equation
M. Saadat
B. Gjorgiev
L. Das
G. Sansavini
166
2
0
21 Nov 2022
A Curriculum-Training-Based Strategy for Distributing Collocation Points during Physics-Informed Neural Network Training
Marcus Münzer
C. Bard
129
6
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
214
12
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
310
146
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
147
5
0
08 Nov 2022
A Deep Double Ritz Method (D
2
^2
2
RM) for solving Partial Differential Equations using Neural Networks
Computer Methods in Applied Mechanics and Engineering (CMAME), 2022
C. Uriarte
David Pardo
I. Muga
J. Muñoz‐Matute
224
21
0
07 Nov 2022
Embed and Emulate: Learning to estimate parameters of dynamical systems with uncertainty quantification
Neural Information Processing Systems (NeurIPS), 2022
Ruoxi Jiang
Rebecca Willett
135
6
0
03 Nov 2022
Combined space-time reduced-order model with 3D deep convolution for extrapolating fluid dynamics
Indu Kant Deo
Rui Gao
R. Jaiman
AI4CE
85
0
0
01 Nov 2022
Neuro-symbolic partial differential equation solver
Pouria A. Mistani
Samira Pakravan
Rajesh Ilango
S. Choudhry
Frédéric Gibou
134
1
0
25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities
Journal of Computational Physics (JCP), 2022
Pouria A. Mistani
Samira Pakravan
Rajesh Ilango
Frédéric Gibou
217
13
0
25 Oct 2022
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain
Computer Physics Communications (CPC), 2022
Pu Ren
Chengping Rao
Su Chen
Jian-Xun Wang
Hao Sun
Yang Liu
374
61
0
25 Oct 2022
Less Emphasis on Difficult Layer Regions: Curriculum Learning for Singularly Perturbed Convection-Diffusion-Reaction Problems
East Asian Journal on Applied Mathematics (EAJAM), 2022
Yufeng Wang
Cong Xu
Min Yang
Jin Zhang
155
9
0
23 Oct 2022
Meta Learning of Interface Conditions for Multi-Domain Physics-Informed Neural Networks
International Conference on Machine Learning (ICML), 2022
Shibo Li
Michael Penwarden
Yiming Xu
Conor Tillinghast
Akil Narayan
Robert M. Kirby
Shandian Zhe
AI4CE
205
6
0
23 Oct 2022
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations
Annual Conference on Information Sciences and Systems (CISS), 2022
Alexander New
B. Eng
A. Timm
A. Gearhart
117
6
0
14 Oct 2022
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning
Neural Information Processing Systems (NeurIPS), 2022
M. Takamoto
T. Praditia
Raphael Leiteritz
Dan MacKinlay
Francesco Alesiani
Dirk Pflüger
Mathias Niepert
AI4CE
457
321
0
13 Oct 2022
A Unified Hard-Constraint Framework for Solving Geometrically Complex PDEs
Neural Information Processing Systems (NeurIPS), 2022
Songming Liu
Zhongkai Hao
Chengyang Ying
Hang Su
Jun Zhu
Ze Cheng
AI4CE
272
25
0
06 Oct 2022
Homotopy-based training of NeuralODEs for accurate dynamics discovery
Neural Information Processing Systems (NeurIPS), 2022
Joon-Hyuk Ko
Hankyul Koh
Nojun Park
W. Jhe
296
10
0
04 Oct 2022
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