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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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 27 18 0 24 Apr 2022
U-NO: U-shaped Neural Operators Md Ashiqur Rahman Zachary E. Ross Kamyar Azizzadenesheli AI4CE 35 134 0 23 Apr 2022
Error-in-variables modelling for operator learning Ravi G. Patel Indu Manickam Myoungkyu Lee Mamikon A. Gulian 11 3 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 16 66 0 22 Apr 2022
Physical Modeling using Recurrent Neural Networks with Fast Convolutional Layers Julian Parker Sebastian J. Schlecht R. Rabenstein Maximilian Schäfer AI4CE 27 12 0 21 Apr 2022
Deep transfer operator learning for partial differential equations under conditional shift S. Goswami Katiana Kontolati Michael D. Shields George Karniadakis 38 97 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 44 53 0 19 Apr 2022
An Optimal Time Variable Learning Framework for Deep Neural Networks Harbir Antil Hugo Díaz Evelyn Herberg 15 4 0 18 Apr 2022
Efficient Architecture Search for Diverse Tasks Jun Shen M. Khodak Ameet Talwalkar 30 31 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 21 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 24 102 0 14 Apr 2022
Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs Peiyan Hu Qi Meng Bin Chen Shiqi Gong Yue Wang Wei Chen Rongchan Zhu Zhirui Ma Tie-Yan Liu AI4CE 27 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 17 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 36 119 0 11 Apr 2022
Evaluating the Adversarial Robustness for Fourier Neural Operators Abolaji D. Adesoji Pin-Yu Chen AAML 30 1 0 08 Apr 2022
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 34 12 0 07 Apr 2022
Discovering and forecasting extreme events via active learning in neural operators Ethan Pickering Stephen Guth George Karniadakis T. Sapsis AI4CE 19 57 0 05 Apr 2022
Unified Implicit Neural Stylization Zhiwen Fan Yi Ding Peihao Wang Xinyu Gong Dejia Xu Zhangyang Wang 31 68 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 18 33 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 26 37 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 24 87 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 25 20 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 44 57 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 34 17 0 27 Mar 2022
Velocity continuation with Fourier neural operators for accelerated uncertainty quantification Ali Siahkoohi M. Louboutin Felix J. Herrmann 14 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 24 5 0 26 Mar 2022
Applications of physics informed neural operators S. Rosofsky Hani Al Majed Eliu A. Huerta PINN AI4CE 25 39 0 23 Mar 2022
Can we integrate spatial verification methods into neural-network loss functions for atmospheric science? Ryan Lagerquist I. Ebert‐Uphoff 46 11 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 49 115 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 20 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 26 95 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 29 87 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 26 10 0 15 Mar 2022
Solving parametric partial differential equations with deep rectified quadratic unit neural networks Zhen Lei Lei Shi Chenyu Zeng 14 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 11 30 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 11 6 0 11 Mar 2022
IAE-Net: Integral Autoencoders for Discretization-Invariant Learning Yong Zheng Ong Zuowei Shen Haizhao Yang 18 15 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 12 41 0 09 Mar 2022
Scalable Uncertainty Quantification for Deep Operator Networks using Randomized Priors Yibo Yang Georgios Kissas P. Perdikaris BDL UQCV 35 40 0 06 Mar 2022
Learning Neural Hamiltonian Dynamics: A Methodological Overview Zhijie Chen Mingquan Feng Junchi Yan H. Zha AI4CE 21 15 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 33 99 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 11 10 0 24 Feb 2022
Simulating Network Paths with Recurrent Buffering Units Divyam Anshumaan S. Balasubramanian Shubham Tiwari Nagarajan Natarajan Sundararajan Sellamanickam V. Padmanabhan 32 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 A. Chattopadhyay ... Zong-Yi Li Kamyar Azizzadenesheli P. Hassanzadeh K. Kashinath Anima Anandkumar AI4Cl 63 660 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 18 23 0 18 Feb 2022
Lie Point Symmetry Data Augmentation for Neural PDE Solvers Johannes Brandstetter Max Welling Daniel E. Worrall AI4CE 23 56 0 15 Feb 2022
Forecasting Global Weather with Graph Neural Networks R. Keisler AI4Cl 33 166 0 15 Feb 2022
Learned Turbulence Modelling with Differentiable Fluid Solvers: Physics-based Loss-functions and Optimisation Horizons Bjorn List Li-Wei Chen Nils Thuerey 29 55 0 14 Feb 2022
Local approximation of operators H. Mhaskar 16 8 0 13 Feb 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 20 158 0 12 Feb 2022