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2305.17560
Cited By
Scalable Transformer for PDE Surrogate Modeling
27 May 2023
Zijie Li
Dule Shu
A. Farimani
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Papers citing
"Scalable Transformer for PDE Surrogate Modeling"
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Title
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems
Han Wan
Rui Zhang
Qi Wang
Y. Liu
Hao Sun
PINN
35
0
0
03 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations
Hao-Ran Yang
Chuan-Xian Ren
89
0
0
02 May 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains
Zherui Yang
Zhengyang Xue
Ligang Liu
17
0
0
22 Apr 2025
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs
Minsu Koh
Beom-Chul Park
Heejo Kong
Seong-Whan Lee
AI4CE
35
0
0
18 Apr 2025
PINP: Physics-Informed Neural Predictor with latent estimation of fluid flows
Huaguan Chen
Yang Liu
Hao Sun
PINN
AI4CE
44
0
0
08 Apr 2025
Generative Latent Neural PDE Solver using Flow Matching
Zijie Li
Anthony Y. Zhou
Amir Barati Farimani
DiffM
AI4CE
67
0
0
28 Mar 2025
AMR-Transformer: Enabling Efficient Long-range Interaction for Complex Neural Fluid Simulation
Zeyi Xu
Jinfan Liu
Kuangxu Chen
Ye Chen
Zhangli Hu
Bingbing Ni
52
0
0
13 Mar 2025
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction
Han Wan
Qi Wang
Hao Sun
Hao Sun
AI4CE
46
0
0
13 Mar 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation
Qi Wang
Yuan Mi
H. Wang
Yi Zhang
Ruizhi Chengze
Hongsheng Liu
J. Wen
Hao Sun
AI4CE
38
0
0
28 Jan 2025
Orthogonal greedy algorithm for linear operator learning with shallow neural network
Ye Lin
Jiwei Jia
Young Ju Lee
Ran Zhang
34
1
0
06 Jan 2025
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices
Hanqing Zhu
Wenyan Cong
Guojin Chen
Shupeng Ning
Ray T. Chen
Jiaqi Gu
D. Pan
21
1
0
05 Nov 2024
P
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^2
2
C
2
^2
2
Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics
Qi Wang
Pu Ren
Hao Zhou
Xin-Yang Liu
Z. Deng
...
Zidong Wang
Jian-Xun Wang
Ji-Rong_Wen
Hao Sun
Yang Liu
50
5
0
29 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation
Anthony Y. Zhou
Zijie Li
Michael Schneier
John R Buchanan Jr
Amir Barati Farimani
AI4CE
DiffM
52
5
0
02 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text
Cooper Lorsung
Amir Barati Farimani
AI4CE
58
1
0
02 Oct 2024
DiffFluid: Plain Diffusion Models are Effective Predictors of Flow Dynamics
Dongyu Luo
Jianyu Wu
Jing Wang
Hairun Xie
Xiangyu Yue
Shixiang Tang
DiffM
AI4CE
28
0
0
20 Sep 2024
Separable Operator Networks
Xinling Yu
S. Hooten
Z. Liu
Yequan Zhao
M. Fiorentino
T. Van Vaerenbergh
Zheng-Wei Zhang
41
4
0
15 Jul 2024
Towards Universal Mesh Movement Networks
Mingrui Zhang
Chunyang Wang
Stephan Kramer
Joseph G. Wallwork
Siyi Li
Jiancheng Liu
Xiang Chen
M. Piggott
AI4CE
25
0
0
29 Jun 2024
Strategies for Pretraining Neural Operators
Anthony Y. Zhou
Cooper Lorsung
AmirPouya Hemmasian
Amir Barati Farimani
AI4CE
34
4
0
12 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations
Jan Hagnberger
Marimuthu Kalimuthu
Daniel Musekamp
Mathias Niepert
AI4TS
AI4CE
37
5
0
06 Jun 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates
Maria Bånkestad
Olof Mogren
Aleksis Pirinen
39
1
0
30 May 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers
Zhou Hang
Yuezhou Ma
Haixu Wu
Haowen Wang
Mingsheng Long
AI4CE
34
8
0
27 May 2024
Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations
Ze Cheng
Zhongkai Hao
Xiaoqiang Wang
Jianing Huang
Youjia Wu
Xudan Liu
Yiru Zhao
Songming Liu
Hang Su
AI4CE
29
2
0
27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows
Shuhao Cao
Francesco Brarda
Ruipeng Li
Yuanzhe Xi
31
0
0
27 May 2024
FUSE: Fast Unified Simulation and Estimation for PDEs
Levi E. Lingsch
Dana Grund
Siddhartha Mishra
Georgios Kissas
AI4CE
26
0
0
23 May 2024
Hierarchical Neural Operator Transformer with Learnable Frequency-aware Loss Prior for Arbitrary-scale Super-resolution
Xihaier Luo
Xiaoning Qian
Byung-Jun Yoon
35
3
0
20 May 2024
CaFA: Global Weather Forecasting with Factorized Attention on Sphere
Zijie Li
Anthony Y. Zhou
Saurabh Patil
A. Farimani
27
6
0
12 May 2024
ThermoPore: Predicting Part Porosity Based on Thermal Images Using Deep Learning
P. Pak
Francis Ogoke
Andrew Polonsky
Anthony Garland
D. Bolintineanu
Dan R. Moser
Michael J. Heiden
A. Farimani
16
4
0
23 Apr 2024
GrINd: Grid Interpolation Network for Scattered Observations
Andrzej Dulny
Paul Heinisch
Andreas Hotho
Anna Krause
25
1
0
28 Mar 2024
Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs
Md Ashiqur Rahman
Robert Joseph George
Mogab Elleithy
Daniel Leibovici
Zong-Yi Li
...
Julius Berner
Raymond A. Yeh
Jean Kossaifi
Kamyar Azizzadenesheli
A. Anandkumar
AI4CE
49
19
0
19 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
37
8
0
18 Mar 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Zijie Li
Saurabh Patil
Francis Ogoke
Dule Shu
Wilson Zhen
Michael Schneier
John R. Buchanan
A. Farimani
AI4CE
32
5
0
27 Feb 2024
Inpainting Computational Fluid Dynamics with Deep Learning
Dule Shu
Wilson Zhen
Zijie Li
A. Farimani
AI4CE
29
0
0
27 Feb 2024
Building Flexible Machine Learning Models for Scientific Computing at Scale
Tianyu Chen
Haoyi Zhou
Ying Li
Hao Wang
Chonghan Gao
Shanghang Zhang
Jianxin Li
AI4CE
25
0
0
25 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction
Qilong Ma
Haixu Wu
Lanxiang Xing
Jianmin Wang
Mingsheng Long
AI4CE
19
0
0
04 Feb 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries
Haixu Wu
Huakun Luo
Haowen Wang
Jianmin Wang
Mingsheng Long
AI4CE
38
40
0
04 Feb 2024
PICL: Physics Informed Contrastive Learning for Partial Differential Equations
Cooper Lorsung
A. Farimani
AI4CE
28
4
0
29 Jan 2024
Multi-scale Time-stepping of Partial Differential Equations with Transformers
AmirPouya Hemmasian
A. Farimani
AI4CE
42
13
0
03 Nov 2023
Improved Operator Learning by Orthogonal Attention
Zipeng Xiao
Zhongkai Hao
Bokai Lin
Zhijie Deng
Hang Su
19
11
0
19 Oct 2023
HelmFluid: Learning Helmholtz Dynamics for Interpretable Fluid Prediction
Lanxiang Xing
Haixu Wu
Yuezhou Ma
Jianmin Wang
Mingsheng Long
MDE
AI4CE
10
4
0
16 Oct 2023
Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs
Jean Kossaifi
Nikola B. Kovachki
Kamyar Azizzadenesheli
Anima Anandkumar
AI4CE
42
32
0
29 Sep 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations
Tengfei Xu
Dachuan Liu
Peng Hao
Bo Wang
28
4
0
09 Apr 2023
Eagle: Large-Scale Learning of Turbulent Fluid Dynamics with Mesh Transformers
Steeven Janny
Aurélien Béneteau
Madiha Nadri Wolf
Julie Digne
Nicolas Thome
Christian Wolf
AI4CE
71
32
0
16 Feb 2023
Mitigating spectral bias for the multiscale operator learning
Xinliang Liu
Bo Xu
Shuhao Cao
Lei Zhang
AI4CE
20
25
0
19 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Jayesh K. Gupta
Johannes Brandstetter
AI4CE
53
117
0
30 Sep 2022
Clifford Neural Layers for PDE Modeling
Johannes Brandstetter
Rianne van den Berg
Max Welling
Jayesh K. Gupta
AI4CE
60
79
0
08 Sep 2022
Multiwavelet-based Operator Learning for Differential Equations
Gaurav Gupta
Xiongye Xiao
P. Bogdan
124
200
0
28 Sep 2021
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
203
2,272
0
18 Oct 2020
Big Bird: Transformers for Longer Sequences
Manzil Zaheer
Guru Guruganesh
Kumar Avinava Dubey
Joshua Ainslie
Chris Alberti
...
Philip Pham
Anirudh Ravula
Qifan Wang
Li Yang
Amr Ahmed
VLM
251
2,009
0
28 Jul 2020
MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework
C. Jiang
S. Esmaeilzadeh
Kamyar Azizzadenesheli
K. Kashinath
Mustafa A. Mustafa
H. Tchelepi
P. Marcus
P. Prabhat
Anima Anandkumar
AI4CE
182
140
0
01 May 2020
Effective Approaches to Attention-based Neural Machine Translation
Thang Luong
Hieu H. Pham
Christopher D. Manning
214
7,687
0
17 Aug 2015
1