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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
A Learned Born Series for Highly-Scattering Media A. Stanziola Simon Arridge B. Cox B. Treeby 48 4 0 09 Dec 2022
Non-equispaced Fourier Neural Solvers for PDEs Haitao Lin Lirong Wu Yongjie Xu Yufei Huang Siyuan Li Guojiang Zhao Z. Stan 83 8 0 09 Dec 2022
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations Wuzhe Xu Yulong Lu Li Wang 67 38 0 09 Dec 2022
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential Equations Yemo Li Yiwen Pang Bin Shan AI4CE 76 5 0 08 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 92 35 0 06 Dec 2022
Diffusion Generative Models in Infinite Dimensions Gavin Kerrigan Justin Ley Padhraic Smyth DiffM 114 35 0 01 Dec 2022
On the Compatibility between Neural Networks and Partial Differential Equations for Physics-informed Learning Kuangdai Leng Jeyan Thiyagalingam PINN 60 3 0 01 Dec 2022
An Introduction to Kernel and Operator Learning Methods for Homogenization by Self-consistent Clustering Analysis Owen Huang Sourav Saha Jiachen Guo Wing Kam Liu AI4CE 48 12 0 01 Dec 2022
Physics-Constrained Generative Adversarial Networks for 3D Turbulence D. Tretiak A. Mohan Daniel Livescu GAN AI4CE PINN 75 2 0 01 Dec 2022
ButterflyNet2D: Bridging Classical Methods and Neural Network Methods in Image Processing Gengzhi Yang Yingzhou Li 57 0 0 29 Nov 2022
Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators Ha Maust Zong-Yi Li Yixuan Wang Daniel Leibovici O. Bruno T. Hou Anima Anandkumar AI4CE 79 12 0 29 Nov 2022
Physics Informed Neural Network for Dynamic Stress Prediction H. Bolandi Gautam Sreekumar Xuyang Li N. Lajnef Vishnu Boddeti AI4CE 56 23 0 28 Nov 2022
Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs Robert Joseph George Jiawei Zhao Jean Kossaifi Zong-Yi Li Anima Anandkumar AI4CE 112 11 0 28 Nov 2022
Machine Learning Accelerated PDE Backstepping Observers Yuanyuan Shi Zong-Yi Li Huan Yu D. Steeves Anima Anandkumar Miroslav Krstic 64 15 0 28 Nov 2022
Transform Once: Efficient Operator Learning in Frequency Domain Michael Poli Stefano Massaroli Federico Berto J. Park Tri Dao Christopher Ré Stefano Ermon 47 18 0 26 Nov 2022
PaCMO: Partner Dependent Human Motion Generation in Dyadic Human Activity using Neural Operators Md Ashiqur Rahman Jasorsi Ghosh Hrishikesh Viswanath Kamyar Azizzadenesheli Aniket Bera 57 8 0 25 Nov 2022
Neural Network Complexity of Chaos and Turbulence Tim Whittaker R. Janik Yaron Oz 66 4 0 24 Nov 2022
Fast Sampling of Diffusion Models via Operator Learning Hongkai Zheng Weili Nie Arash Vahdat Kamyar Azizzadenesheli Anima Anandkumar DiffM 133 152 0 24 Nov 2022
SciAI4Industry -- Solving PDEs for industry-scale problems with deep learning Philipp A. Witte Russell J. Hewett K. Saurabh A. Sojoodi Ranveer Chandra AI4CE 65 2 0 23 Nov 2022
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms Danimir T. Doncevic Alexander Mitsos Yu Guo Qianxiao Li Felix Dietrich Manuel Dahmen Ioannis G. Kevrekidis 66 7 0 22 Nov 2022
Accelerated Solutions of Coupled Phase-Field Problems using Generative Adversarial Networks Vir Karan A. M. Indresh S. Bhattacharyya AI4CE 34 0 0 22 Nov 2022
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems Xiongbin Yan Z. Xu Zheng Ma 61 2 0 22 Nov 2022
Exploring Physical Latent Spaces for High-Resolution Flow Restoration Chloé Paliard Nils Thuerey Kiwon Um AI4CE 109 0 0 21 Nov 2022
Convexifying Transformers: Improving optimization and understanding of transformer networks Tolga Ergen Behnam Neyshabur Harsh Mehta MLT 121 15 0 20 Nov 2022
Multi-scale Digital Twin: Developing a fast and physics-informed surrogate model for groundwater contamination with uncertain climate models Lijing Wang Takuya Kurihana Aurelien O Meray Ilijana Mastilovic Satyarth Praveen Zexuan Xu Milad Memarzadeh Alexander Lavin H. Wainwright AI4Cl AI4CE 23 1 0 20 Nov 2022
AdaFNIO: Adaptive Fourier Neural Interpolation Operator for video frame interpolation Hrishikesh Viswanath Md Ashiqur Rahman Rashmi Bhaskara Aniket Bera VGen 140 3 0 19 Nov 2022
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs Seungchan Ko S. Yun Youngjoon Hong 75 5 0 16 Nov 2022
Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks Junwoo Cho Seungtae Nam Hyunmo Yang S. Yun Youngjoon Hong Eunbyung Park PINN AI4CE 53 8 0 16 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 130 99 0 15 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 71 52 0 14 Nov 2022
SPADE4: Sparsity and Delay Embedding based Forecasting of Epidemics Esha Saha L. Ho Giang Tran 81 5 0 11 Nov 2022
Stabilizing Machine Learning Prediction of Dynamics: Noise and Noise-inspired Regularization Alexander Wikner Joseph Harvey M. Girvan Brian R. Hunt Andrew Pomerance Thomas Antonsen Edward Ott 80 6 0 09 Nov 2022
Simulation-Based Parallel Training Lucas Meyer Alejandro Ribés Bruno Raffin AI4CE 66 2 0 08 Nov 2022
NLP Inspired Training Mechanics For Modeling Transient Dynamics Lalit Ghule Rishikesh Ranade Jay Pathak AI4CE 62 2 0 04 Nov 2022
Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh Tian Qin Alex Beatson Deniz Oktay N. McGreivy Ryan P. Adams AI4CE 76 10 0 03 Nov 2022
Neural Fourier Shift for Binaural Speech Rendering Jinkyu Lee Kyogu Lee 73 8 0 02 Nov 2022
Automated Dominative Subspace Mining for Efficient Neural Architecture Search Yaofo Chen Yong Guo Daihai Liao Fanbing Lv Hengjie Song James Tin-Yau Kwok Mingkui Tan 88 4 0 31 Oct 2022
Comparison of two artificial neural networks trained for the surrogate modeling of stress in materially heterogeneous elastoplastic solids S. Kapoor J. Mianroodi M. S. Khorrami Nima S. Siboni Bob Svendsen 56 4 0 31 Oct 2022
Contextual Learning in Fourier Complex Field for VHR Remote Sensing Images Yan Zhang Xiyuan Gao Qingyan Duan Jiaxu Leng Xiao Pu Xinbo Gao ViT 52 1 0 28 Oct 2022
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flows Ivan Zanardi Simone Venturi M. Panesi AI4CE 102 19 0 27 Oct 2022
An Adversarial Active Sampling-based Data Augmentation Framework for Manufacturable Chip Design Mingjie Liu Haoyu Yang Zong-Yi Li K. Sastry S. Mukhopadhyay Selim Dogru Anima Anandkumar David Z. Pan Brucek Khailany Haoxing Ren 99 4 0 27 Oct 2022
Partial Differential Equations Meet Deep Neural Networks: A Survey Shudong Huang Wentao Feng Chenwei Tang Jiancheng Lv AI4CE AIMat 77 21 0 27 Oct 2022
Neuro-symbolic partial differential equation solver Pouria A. Mistani Samira Pakravan Rajesh Ilango S. Choudhry Frédéric Gibou 56 1 0 25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities Pouria A. Mistani Samira Pakravan Rajesh Ilango Frédéric Gibou 52 8 0 25 Oct 2022
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain Pu Ren Chengping Rao Su Chen Jian-Xun Wang Hao Sun Yang Liu 122 44 0 25 Oct 2022
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis Luca Galimberti Anastasis Kratsios Giulia Livieri OOD 123 14 0 24 Oct 2022
Tools for Extracting Spatio-Temporal Patterns in Meteorological Image Sequences: From Feature Engineering to Attention-Based Neural Networks A. S. Bansal Yoonjin Lee Kyle Hilburn I. Ebert‐Uphoff AI4TS 94 2 0 22 Oct 2022
Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective Tanya Marwah Zachary Chase Lipton Jianfeng Lu Andrej Risteski 78 10 0 21 Oct 2022
Bayesian deep learning framework for uncertainty quantification in high dimensions Jeahan Jung Minseok Choi BDL UQCV 53 1 0 21 Oct 2022
Inference from Real-World Sparse Measurements Arnaud Pannatier Kyle Matoba François Fleuret AI4TS 70 0 0 20 Oct 2022