Communities
Connect sessions
AI calendar
Organizations
Join Slack
Contact Sales
Search
Open menu
Home
Papers
2006.16144
Cited By
v1
v2
v3 (latest)
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating PDEs
29 June 2020
Siddhartha Mishra
Roberto Molinaro
PINN
Re-assign community
ArXiv (abs)
PDF
HTML
Papers citing
"Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating PDEs"
50 / 96 papers shown
Error Estimation for Physics-informed Neural Networks Approximating Semilinear Wave Equations
Beatrice Lorenz
Aras Bacho
Gitta Kutyniok
PINN
325
4
0
30 Mar 2026
Complexity Dependent Error Rates for Physics-informed Statistical Learning via the Small-ball Method
Diego Marcondes
157
0
0
27 Oct 2025
Multi-Scale Finite Expression Method for PDEs with Oscillatory Solutions on Complex Domains
Gareth Hardwick
Haizhao Yang
157
0
0
26 Oct 2025
AB-PINNs: Adaptive-Basis Physics-Informed Neural Networks for Residual-Driven Domain Decomposition
Jonah Botvinick-Greenhouse
Wael H. Ali
M. Benosman
S. Mowlavi
AI4CE
188
1
0
10 Oct 2025
THINNs: Thermodynamically Informed Neural Networks
Javier Castro
Benjamin Gess
PINN
194
0
0
23 Sep 2025
A Conformal Prediction Framework for Uncertainty Quantification in Physics-Informed Neural Networks
Yifan Yu
Cheuk Hin Ho
Yangshuai Wang
AI4CE
319
2
0
17 Sep 2025
Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks
Liya Gaynutdinova
M. Doškář
O. Rokoš
Ivana Pultarová
PINN
AI4CE
384
1
0
09 Sep 2025
Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements
Xuyang Li
Mahdi Masmoudi
Rami Gharbi
N. Lajnef
Vishnu Boddeti
AI4CE
203
0
0
29 Aug 2025
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks
Bangti Jin
Longjun Wu
184
1
0
29 Aug 2025
Error analysis for the deep Kolmogorov method
Iulian Cîmpean
Thang Do
Lukas Gonon
Arnulf Jentzen
Ionel Popescu
227
0
0
23 Aug 2025
TRACE: Learning 3D Gaussian Physical Dynamics from Multi-view Videos
Jinxi Li
Ziyang Song
Bo Yang
3DV
AI4CE
265
6
0
13 Aug 2025
ViscoReg: Neural Signed Distance Functions via Viscosity Solutions
Meenakshi Krishnan
Ramani Duraiswami
225
0
0
01 Jul 2025
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
Salah A Faroughi
Farinaz Mostajeran
181
8
0
09 Jun 2025
Beyond Accuracy: EcoL2 Metric for Sustainable Neural PDE Solvers
Taniya Kapoor
Abhishek Chandra
Anastasios Stamou
Stephen J Roberts
343
2
0
18 May 2025
PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2025
Md Rakibul Hasan
Pouria Behnoudfar
Dan MacKinlay
Thomas Poulet
GAN
510
2
0
10 May 2025
Physics-Informed Deep B-Spline Networks
Zhuoyuan Wang
Raffaele Romagnoli
Jasmine Ratchford
Yorie Nakahira
PINN
AI4CE
299
1
0
21 Mar 2025
Understanding Generalization in Physics Informed Models through Affine Variety Dimensions
Takeshi Koshizuka
Issei Sato
AI4CE
693
2
0
31 Jan 2025
Exact and approximate error bounds for physics-informed neural networks
Augusto T. Chantada
Pavlos Protopapas
Luca Gomez Bachar
Susana J. Landau
Claudia G. Scóccola
PINN
387
3
0
21 Nov 2024
Long-time Integration of Nonlinear Wave Equations with Neural Operators
Guanhang Lei
Zhen Lei
Lei Shi
178
2
0
21 Oct 2024
Physics-informed kernel learning
Nathan Doumèche
Francis Bach
Gérard Biau
Claire Boyer
PINN
336
8
0
20 Sep 2024
Physics-Informed Neural Networks and Extensions
Maziar Raissi
P. Perdikaris
Nazanin Ahmadi
George Karniadakis
PINN
AI4CE
346
19
0
29 Aug 2024
DeepSPoC: A Deep Learning-Based PDE Solver Governed by Sequential Propagation of Chaos
Kai Du
Yongle Xie
Tao Zhou
Yuancheng Zhou
183
0
0
29 Aug 2024
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions
Mohan Ren
Zhihao Fang
Keren Li
Anirbit Mukherjee
PINN
AI4CE
263
1
0
30 Jul 2024
Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systems
Zhuoyuan Wang
Albert Chern
Yorie Nakahira
505
4
0
11 Jul 2024
Magnetic Hysteresis Modeling with Neural Operators
Abhishek Chandra
B. Daniels
M. Curti
K. Tiels
E. Lomonova
AI4CE
341
10
0
03 Jul 2024
On the estimation rate of Bayesian PINN for inverse problems
Yi Sun
Debarghya Mukherjee
Yves Atchadé
PINN
319
1
0
21 Jun 2024
Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks
Zheyuan Hu
Kenji Kawaguchi
Zhongqiang Zhang
George Karniadakis
AI4CE
378
11
0
17 Jun 2024
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks
Yianxia Qian
Yongchao Zhang
Suchuan Dong
PINN
216
0
0
10 Jun 2024
Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN)
Chenhao Si
Ming Yan
AI4CE
PINN
296
15
0
05 Jun 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
Neural Information Processing Systems (NeurIPS), 2024
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
223
29
0
23 May 2024
Error Analysis of Three-Layer Neural Network Trained with PGD for Deep Ritz Method
IEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2024
Yuling Jiao
Yanming Lai
Yang Wang
AI4CE
214
1
0
19 May 2024
Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs
Youngjoon Hong
Seungchan Ko
Jae Yong Lee
249
6
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
451
42
0
11 Apr 2024
Challenges in Training PINNs: A Loss Landscape Perspective
Pratik Rathore
Weimu Lei
Zachary Frangella
Lu Lu
Madeleine Udell
AI4CE
PINN
ODL
312
133
0
02 Feb 2024
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations
Siqi Chen
Bin Shan
Ye Li
AI4CE
PINN
237
1
0
22 Dec 2023
Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks
Zheyuan Hu
Zekun Shi
George Karniadakis
Kenji Kawaguchi
AI4CE
PINN
321
50
0
22 Dec 2023
NVFi: Neural Velocity Fields for 3D Physics Learning from Dynamic Videos
Jinxi Li
Ziyang Song
Bo Yang
3DH
269
33
0
11 Dec 2023
Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs
SIAM Journal on Scientific Computing (SISC), 2023
Zheyuan Hu
Zhouhao Yang
Yezhen Wang
George Karniadakis
Kenji Kawaguchi
356
21
0
26 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations
Valentin Duruisseaux
Amit Chakraborty
AI4CE
325
1
0
04 Nov 2023
An operator preconditioning perspective on training in physics-informed machine learning
International Conference on Learning Representations (ICLR), 2023
Tim De Ryck
Florent Bonnet
Siddhartha Mishra
Emmanuel de Bezenac
AI4CE
374
27
0
09 Oct 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
Dibyakanti Kumar
Anirbit Mukherjee
315
5
0
08 Oct 2023
Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
Advances in Computational Mathematics (Adv. Comput. Math.), 2023
Yongcheng Dai
Bangti Jin
R. Sau
Zhi Zhou
309
10
0
23 Aug 2023
Neural oscillators for generalization of physics-informed machine learning
AAAI Conference on Artificial Intelligence (AAAI), 2023
Taniya Kapoor
Abhishek Chandra
D. Tartakovsky
Hongrui Wang
Alfredo Núñez
R. Dollevoet
AI4CE
291
17
0
17 Aug 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks
Neural Networks (Neural Netw.), 2023
Zheyuan Hu
K. Shukla
George Karniadakis
Kenji Kawaguchi
PINN
AI4CE
863
208
0
23 Jul 2023
Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs
Journal of Fluid Mechanics (JFM), 2023
Elham Kiyani
M. Kooshkbaghi
K. Shukla
R. Koneru
Zhen Li
L. Bravo
A. Ghoshal
George Karniadakis
M. Karttunen
AI4CE
280
8
0
18 Jul 2023
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural Networks
Inbar Seroussi
Asaf Miron
Zohar Ringel
PINN
347
2
0
12 Jul 2023
PINNs error estimates for nonlinear equations in
R
\mathbb{R}
R
-smooth Banach spaces
Jiexing Gao
Yurii Zakharian
291
2
0
18 May 2023
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
431
7
0
17 May 2023
Convergence and error analysis of PINNs
Nathan Doumèche
Gérard Biau
D. Boyer
PINN
AI4CE
268
26
0
02 May 2023
Multilevel CNNs for Parametric PDEs
Journal of machine learning research (JMLR), 2023
Cosmas Heiß
Ingo Gühring
Martin Eigel
AI4CE
477
12
0
01 Apr 2023
1
2
Next
Page 1 of 2
