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Fourier Neural Operator for Parametric Partial Differential Equations

18 October 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Fourier Neural Operator for Parametric Partial Differential Equations"

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Title
BI-GreenNet: Learning Green's functions by boundary integral network Guochang Lin Fu-jun Chen Pipi Hu Xiang Chen Junqing Chen Jun Wang Zuoqiang Shi 67 22 0 28 Apr 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming J. Schmitt Harald Kostler AI4CE 29 1 0 27 Apr 2022
Learning Green's functions associated with time-dependent partial differential equations N. Boullé Seick Kim Tianyi Shi Alex Townsend AI4CE 97 26 0 27 Apr 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 138 42 0 27 Apr 2022
M2N: Mesh Movement Networks for PDE Solvers Wenbin Song Mingrui Zhang Joseph G. Wallwork Jun-ming Gao Zheng Tian ... M. Piggott Junqing Chen Zuoqiang Shi Xiang Chen Jun Wang AI4CE 54 20 0 24 Apr 2022
U-NO: U-shaped Neural Operators Md Ashiqur Rahman Zachary E. Ross Kamyar Azizzadenesheli AI4CE 125 146 0 23 Apr 2022
Error-in-variables modelling for operator learning Ravi G. Patel Indu Manickam Myoungkyu Lee Mamikon A. Gulian 91 4 0 22 Apr 2022
Fourier Imager Network (FIN): A deep neural network for hologram reconstruction with superior external generalization Hanlong Chen Luzhe Huang Tairan Liu Aydogan Ozcan 101 69 0 22 Apr 2022
Physical Modeling using Recurrent Neural Networks with Fast Convolutional Layers Julian Parker Sebastian J. Schlecht R. Rabenstein Maximilian Schäfer AI4CE 59 14 0 21 Apr 2022
Deep transfer operator learning for partial differential equations under conditional shift S. Goswami Katiana Kontolati Michael D. Shields George Karniadakis 111 109 0 20 Apr 2022
Multifidelity Deep Operator Networks For Data-Driven and Physics-Informed Problems Amanda A. Howard M. Perego G. Karniadakis P. Stinis AI4CE 105 57 0 19 Apr 2022
An Optimal Time Variable Learning Framework for Deep Neural Networks Harbir Antil Hugo Díaz Evelyn Herberg 42 4 0 18 Apr 2022
Efficient Architecture Search for Diverse Tasks Jun Shen M. Khodak Ameet Talwalkar 64 32 0 15 Apr 2022
Super Resolution for Turbulent Flows in 2D: Stabilized Physics Informed Neural Networks Mykhaylo Zayats Malgorzata J. Zimoñ K. Yeo Sergiy Zhuk 70 5 0 15 Apr 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 81 110 0 14 Apr 2022
Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs Tailin Wu Qi Meng Bin Chen Shiqi Gong Yue Wang Wei Chen Rongchan Zhu Zhirui Ma Tie-Yan Liu AI4CE 86 11 0 13 Apr 2022
Continuous-Time User Preference Modelling for Temporal Sets Prediction Le Yu Zihang Liu Leilei Sun Bowen Du T. Zhu Weifeng Lv 50 6 0 12 Apr 2022
Learning two-phase microstructure evolution using neural operators and autoencoder architectures Vivek Oommen K. Shukla S. Goswami Rémi Dingreville George Karniadakis AI4CE 121 125 0 11 Apr 2022
Evaluating the Adversarial Robustness for Fourier Neural Operators Abolaji D. Adesoji Pin-Yu Chen AAML 78 1 0 08 Apr 2022
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 62 13 0 07 Apr 2022
Discovering and forecasting extreme events via active learning in neural operators Ethan Pickering Stephen Guth George Karniadakis T. Sapsis AI4CE 70 59 0 05 Apr 2022
Unified Implicit Neural Stylization Zhiwen Fan Yi Ding Peihao Wang Xinyu Gong Dejia Xu Zhangyang Wang 137 69 0 05 Apr 2022
Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs Thomas J. Grady R. Khan M. Louboutin Ziyi Yin Philipp A. Witte Ranveer Chandra Russell J. Hewett Felix J. Herrmann AI4CE 132 35 0 04 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 103 38 0 03 Apr 2022
Monarch: Expressive Structured Matrices for Efficient and Accurate Training Tri Dao Beidi Chen N. Sohoni Arjun D Desai Michael Poli Jessica Grogan Alexander Liu Aniruddh Rao Atri Rudra Christopher Ré 141 97 0 01 Apr 2022
A Physics-Guided Neural Operator Learning Approach to Model Biological Tissues from Digital Image Correlation Measurements Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee M. Hsu Yue Yu AI4CE 103 22 0 01 Apr 2022
When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning Chuizheng Meng Sungyong Seo Defu Cao Sam Griesemer Yan Liu PINN AI4CE 122 59 0 31 Mar 2022
Learned coupled inversion for carbon sequestration monitoring and forecasting with Fourier neural operators Ziyi Yin Ali Siahkoohi M. Louboutin Felix J. Herrmann 76 18 0 27 Mar 2022
Velocity continuation with Fourier neural operators for accelerated uncertainty quantification Ali Siahkoohi M. Louboutin Felix J. Herrmann 44 5 0 27 Mar 2022
NUNet: Deep Learning for Non-Uniform Super-Resolution of Turbulent Flows Octavi Obiols-Sales Abhinav Vishnu Nicholas Malaya Aparna Chandramowlishwaran AI4CE 64 5 0 26 Mar 2022
Applications of physics informed neural operators S. Rosofsky Hani Al Majed Eliu A. Huerta PINN AI4CE 56 41 0 23 Mar 2022
Can we integrate spatial verification methods into neural-network loss functions for atmospheric science? Ryan Lagerquist I. Ebert‐Uphoff 75 12 0 21 Mar 2022
Error estimates for physics informed neural networks approximating the Navier-Stokes equations Tim De Ryck Ameya Dilip Jagtap S. Mishra PINN 128 118 0 17 Mar 2022
Backpropagation through Time and Space: Learning Numerical Methods with Multi-Agent Reinforcement Learning E. Way Dheeraj Kapilavai Yiwei Fu Lei Yu AI4CE 52 2 0 16 Mar 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 102 107 0 15 Mar 2022
Real-time Neural-MPC: Deep Learning Model Predictive Control for Quadrotors and Agile Robotic Platforms Tim Salzmann Elia Kaufmann Jon Arrizabalaga Marco Pavone Davide Scaramuzza Markus Ryll 108 98 0 15 Mar 2022
A physics and data co-driven surrogate modeling approach for temperature field prediction on irregular geometric domain K. Bao Wenjuan Yao Xiaoya Zhang Wei Peng Yu Li AI4CE 70 10 0 15 Mar 2022
Solving parametric partial differential equations with deep rectified quadratic unit neural networks Zhen Lei Lei Shi Chenyu Zeng 57 9 0 14 Mar 2022
Generic Lithography Modeling with Dual-band Optics-Inspired Neural Networks Haoyu Yang Zong-Yi Li K. Sastry S. Mukhopadhyay M. Kilgard Anima Anandkumar Brucek Khailany Vivek Singh Haoxing Ren 58 31 0 12 Mar 2022
Local neural operator for solving transient partial differential equations on varied domains Hongyu Li Ximeng Ye Pengjie Jiang G. Qin Tiejun Wang AI4CE 19 7 0 11 Mar 2022
IAE-Net: Integral Autoencoders for Discretization-Invariant Learning Yong Zheng Ong Zuowei Shen Haizhao Yang 89 16 0 10 Mar 2022
On the influence of over-parameterization in manifold based surrogates and deep neural operators Katiana Kontolati S. Goswami Michael D. Shields George Karniadakis 73 42 0 09 Mar 2022
Scalable Uncertainty Quantification for Deep Operator Networks using Randomized Priors Yibo Yang Georgios Kissas P. Perdikaris BDL UQCV 88 42 0 06 Mar 2022
Learning Neural Hamiltonian Dynamics: A Methodological Overview Zhijie Chen Mingquan Feng Junchi Yan H. Zha AI4CE 73 16 0 28 Feb 2022
Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems Minglang Yin Enrui Zhang Yue Yu George Karniadakis AI4CE 120 102 0 25 Feb 2022
Physics Informed RNN-DCT Networks for Time-Dependent Partial Differential Equations Benwei Wu O. Hennigh Jan Kautz S. Choudhry Wonmin Byeon MLAU AI4CE 57 13 0 24 Feb 2022
Simulating Network Paths with Recurrent Buffering Units Divyam Anshumaan S. Balasubramanian Shubham Tiwari Nagarajan Natarajan Sundararajan Sellamanickam V. Padmanabhan 78 0 0 23 Feb 2022
FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators Jaideep Pathak Shashank Subramanian P. Harrington S. Raja Ashesh Chattopadhyay ... Zong-Yi Li Kamyar Azizzadenesheli Pedram Hassanzadeh K. Kashinath Anima Anandkumar AI4Cl 249 717 0 22 Feb 2022
Learning Physics-Informed Neural Networks without Stacked Back-propagation Di He Shanda Li Wen-Wu Shi Xiaotian Gao Jia Zhang Jiang Bian Liwei Wang Tie-Yan Liu DiffM PINN AI4CE 62 24 0 18 Feb 2022
Lie Point Symmetry Data Augmentation for Neural PDE Solvers Johannes Brandstetter Max Welling Daniel E. Worrall AI4CE 100 64 0 15 Feb 2022