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PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
15 June 2023
Zhongkai Hao
J. Yao
Chang Su
Hang Su
Ziao Wang
Fanzhi Lu
Zeyu Xia
Yichi Zhang
Songming Liu
Lu Lu
Jun Zhu
PINN
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Papers citing
"PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs"
25 / 25 papers shown
Title
Scalable Back-Propagation-Free Training of Optical Physics-Informed Neural Networks
Yequan Zhao
Xinling Yu
Xian Xiao
Z. Chen
Z. Liu
G. Kurczveil
R. Beausoleil
S. Liu
Z. Zhang
49
0
0
17 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
111
0
0
01 Feb 2025
jinns: a JAX Library for Physics-Informed Neural Networks
Hugo Gangloff
Nicolas Jouvin
AI4CE
71
0
0
18 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning
Ruben Ohana
Michael McCabe
Lucas Meyer
Rudy Morel
Fruzsina J. Agocs
...
François Rozet
Liam Parker
M. Cranmer
S. Ho
Shirley Ho
PINN
AI4CE
66
7
1
30 Nov 2024
Conformalized Prediction of Post-Fault Voltage Trajectories Using Pre-trained and Finetuned Attention-Driven Neural Operators
Amirhossein Mollaali
Gabriel Zufferey
Gonzalo E. Constante-Flores
Christian Moya
Can Li
Guang Lin
Meng Yue
42
1
0
31 Oct 2024
Federated scientific machine learning for approximating functions and solving differential equations with data heterogeneity
Handi Zhang
Langchen Liu
Lu Lu
FedML
24
1
0
17 Oct 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Youngsik Hwang
Dong-Young Lim
AI4CE
28
2
0
27 Sep 2024
Symmetry Breaking in Neural Network Optimization: Insights from Input Dimension Expansion
Jun-Jie Zhang
Nan Cheng
Fu-Peng Li
Xiu-Cheng Wang
Jian-Nan Chen
Long-Gang Pang
Deyu Meng
33
0
0
10 Sep 2024
Active Learning for Neural PDE Solvers
Daniel Musekamp
Marimuthu Kalimuthu
David Holzmüller
Makoto Takamoto
Carlos Fernandez
AI4CE
41
4
0
02 Aug 2024
PAPM: A Physics-aware Proxy Model for Process Systems
Pengwei Liu
Zhongkai Hao
Xingyu Ren
Hangjie Yuan
Jiayang Ren
Dong Ni
AI4CE
PINN
40
0
0
07 Jul 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations
Vladislav Trifonov
Alexander Rudikov
Oleg Iliev
Ivan V. Oseledets
Ekaterina A. Muravleva
Ekaterina Muravleva
DiffM
AI4CE
31
0
0
07 Jun 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
32
6
0
23 May 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Chengxi Zeng
T. Burghardt
A. Gambaruto
34
1
0
10 Feb 2024
The Challenges of the Nonlinear Regime for Physics-Informed Neural Networks
Andrea Bonfanti
Giuseppe Bruno
Cristina Cipriani
21
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
33
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
25
5
0
01 Feb 2024
A Mathematical Guide to Operator Learning
Nicolas Boullé
Alex Townsend
29
36
0
22 Dec 2023
Neural Operators for Accelerating Scientific Simulations and Design
Kamyar Azzizadenesheli
Nikola B. Kovachki
Zong-Yi Li
Miguel Liu-Schiaffini
Jean Kossaifi
Anima Anandkumar
AI4CE
29
121
0
27 Sep 2023
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Jayesh K. Gupta
Johannes Brandstetter
AI4CE
53
117
0
30 Sep 2022
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations
Benjamin Moseley
Andrew Markham
T. Nissen‐Meyer
PINN
37
207
0
16 Jul 2021
Efficient training of physics-informed neural networks via importance sampling
M. A. Nabian
R. J. Gladstone
Hadi Meidani
DiffM
PINN
69
220
0
26 Apr 2021
Parallel Physics-Informed Neural Networks via Domain Decomposition
K. Shukla
Ameya Dilip Jagtap
George Karniadakis
PINN
98
272
0
20 Apr 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Sifan Wang
Hanwen Wang
P. Perdikaris
131
437
0
18 Dec 2020
NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework
O. Hennigh
S. Narasimhan
M. A. Nabian
Akshay Subramaniam
Kaustubh Tangsali
M. Rietmann
J. Ferrandis
Wonmin Byeon
Z. Fang
S. Choudhry
PINN
AI4CE
91
125
0
14 Dec 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
E. Kharazmi
Zhongqiang Zhang
George Karniadakis
117
506
0
11 Mar 2020
1