Transformer for Partial Differential Equations' Operator Learning

26 May 2022

Papers citing "Transformer for Partial Differential Equations' Operator Learning"

50 / 109 papers shown

Title
UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptation Junhong Shen Tanya Marwah Ameet Talwalkar AI4CE 42 3 0 11 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 21 0 06 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 29 5 0 27 Feb 2024
Inpainting Computational Fluid Dynamics with Deep Learning Dule Shu Wilson Zhen Zijie Li A. Farimani AI4CE 23 0 0 27 Feb 2024
Neural Operators with Localized Integral and Differential Kernels Miguel Liu-Schiaffini Julius Berner Boris Bonev Thorsten Kurth Kamyar Azizzadenesheli A. Anandkumar 54 18 0 26 Feb 2024
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 22 3 0 19 Feb 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 35 8 0 19 Feb 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 64 5 0 18 Feb 2024
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshes Tobias Würth Niklas Freymuth C. Zimmerling Gerhard Neumann Luise Kärger AI4CE 19 1 0 16 Feb 2024
LogicPrpBank: A Corpus for Logical Implication and Equivalence Zhexiong Liu Jing Zhang Jiaying Lu Wenjing Ma Joyce C. Ho ReLM LRM 34 0 0 14 Feb 2024
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids S. Cho Jae Yong Lee Hyung Ju Hwang GNN AI4CE 10 3 0 13 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 32 6 0 05 Feb 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries Haixu Wu Huakun Luo Haowen Wang Jianmin Wang Mingsheng Long AI4CE 38 39 0 04 Feb 2024
Resolution invariant deep operator network for PDEs with complex geometries Jianguo Huang Yue Qiu 17 0 0 01 Feb 2024
PICL: Physics Informed Contrastive Learning for Partial Differential Equations Cooper Lorsung A. Farimani AI4CE 28 4 0 29 Jan 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 19 15 0 11 Jan 2024
The inherent goodness of well educated intelligence M. Glinsky 11 0 0 09 Jan 2024
Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEs Seungjun Lee Taeil Oh 15 5 0 18 Dec 2023
GIT-Net: Generalized Integral Transform for Operator Learning Chao Wang Alexandre H. Thiery AI4CE 11 0 0 05 Dec 2023
Deep Equilibrium Based Neural Operators for Steady-State PDEs Tanya Marwah Ashwini Pokle J. Zico Kolter Zachary Chase Lipton Jianfeng Lu Andrej Risteski 20 7 0 30 Nov 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 21 7 0 24 Nov 2023
Multiscale Neural Operators for Solving Time-Independent PDEs Winfried Ripken Lisa Coiffard Felix Pieper Sebastian Dziadzio AI4CE 19 2 0 10 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 11 1 0 04 Nov 2023
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 16 11 0 19 Oct 2023
CoDBench: A Critical Evaluation of Data-driven Models for Continuous Dynamical Systems Priyanshu Burark Prathosh A P Karn Tiwari Meer Mehran Rashid Anoop Krishnan AI4CE 11 3 0 02 Oct 2023
High Throughput Training of Deep Surrogates from Large Ensemble Runs Lucas Meyer M. Schouler R. Caulk Alejandro Ribés Bruno Raffin AI4CE 4 5 0 28 Sep 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 26 121 0 27 Sep 2023
Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zong-Yi Li Nikola B. Kovachki Chris Choy Boyi Li Jean Kossaifi ... M. A. Nabian Maximilian Stadler Christian Hundt Kamyar Azizzadenesheli Anima Anandkumar AI4CE 23 127 0 01 Sep 2023
Deep Operator Network Approximation Rates for Lipschitz Operators Ch. Schwab A. Stein Jakob Zech 22 9 0 19 Jul 2023
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO) O. Ovadia Vivek Oommen Adar Kahana Ahmad Peyvan Eli Turkel George Karniadakis AI4CE 26 13 0 18 Jul 2023
Understanding the Efficacy of U-Net & Vision Transformer for Groundwater Numerical Modelling M. L. Taccari O. Ovadia He-Nan Wang Adar Kahana Xiaohui Chen P. Jimack 27 2 0 08 Jul 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 19 4 0 28 Jun 2023
Operator Learning with Neural Fields: Tackling PDEs on General Geometries Louis Serrano Lise Le Boudec Armand K. Koupai Thomas X. Wang Yuan Yin Jean-Noël Vittaut Patrick Gallinari AI4CE 15 32 0 12 Jun 2023
Training neural operators to preserve invariant measures of chaotic attractors Ruoxi Jiang Peter Y. Lu Elena Orlova Rebecca Willett AI4TS 11 20 0 01 Jun 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 13 63 0 27 May 2023
Physics Informed Token Transformer for Solving Partial Differential Equations Cooper Lorsung Zijie Li Amir Barati Farimani AI4CE 24 15 0 15 May 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 19 23 0 30 Apr 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations Tengfei Xu Dachuan Liu Peng Hao Bo Wang 26 4 0 09 Apr 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 24 19 0 30 Mar 2023
ViTO: Vision Transformer-Operator O. Ovadia Adar Kahana P. Stinis Eli Turkel George Karniadakis 8 20 0 15 Mar 2023
GNOT: A General Neural Operator Transformer for Operator Learning Zhongkai Hao Zhengyi Wang Hang Su Chengyang Ying Yinpeng Dong Songming Liu Ze Cheng Jian Song Jun Zhu AI4CE 11 157 0 28 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 44 4 0 10 Feb 2023
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation Jose Antonio Lara Benitez Takashi Furuya F. Faucher Anastasis Kratsios X. Tricoche Maarten V. de Hoop 30 14 0 27 Jan 2023
MeshDQN: A Deep Reinforcement Learning Framework for Improving Meshes in Computational Fluid Dynamics Cooper Lorsung A. Farimani AI4CE 11 0 0 02 Dec 2022
A Physics-informed Diffusion Model for High-fidelity Flow Field Reconstruction Dule Shu Zijie Li A. Farimani DiffM AI4CE 24 121 0 26 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 21 87 0 15 Nov 2022
Mitigating spectral bias for the multiscale operator learning Xinliang Liu Bo Xu Shuhao Cao Lei Zhang AI4CE 15 25 0 19 Oct 2022
Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNN Yadi Cao Menglei Chai Minchen Li Chenfanfu Jiang AI4CE 18 18 0 05 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022