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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
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Mechanistic Neural Networks for Scientific Machine Learning Adeel Pervez Francesco Locatello E. Gavves PINN AI4CE 68 10 0 20 Feb 2024
PAC-FNO: Parallel-Structured All-Component Fourier Neural Operators for Recognizing Low-Quality Images Jinsung Jeon Hyundong Jin Jonghyun Choi Sanghyun Hong Dongeun Lee Kookjin Lee Noseong Park 115 1 0 20 Feb 2024
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Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 60 6 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 279 13 0 19 Feb 2024
A novel Fourier neural operator framework for classification of multi-sized images: Application to three dimensional digital porous media Ali Kashefi T. Mukerji AI4CE 92 5 0 18 Feb 2024
Attractor Memory for Long-Term Time Series Forecasting: A Chaos Perspective Jiaxi Hu Yuehong Hu Wei Chen Ming Jin Shirui Pan Qingsong Wen Yuxuan Liang AI4TS 114 12 0 18 Feb 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 189 7 0 18 Feb 2024
Deep adaptive sampling for surrogate modeling without labeled data Xili Wang Keju Tang Jiayu Zhai Xiaoliang Wan Chao Yang 69 3 0 17 Feb 2024
Parametric Learning of Time-Advancement Operators for Unstable Flame Evolution Rixin Yu Erdzan Hodzic AI4CE 44 4 0 14 Feb 2024
Multi-Hierarchical Surrogate Learning for Structural Dynamical Crash Simulations Using Graph Convolutional Neural Networks Jonas Kneifl Jörg Fehr Steven L. Brunton J. Nathan Kutz AI4CE 57 1 0 14 Feb 2024
Sobolev Training for Operator Learning Namkyeong Cho Junseung Ryu Hyung Ju Hwang 22 0 0 14 Feb 2024
Neural Operators Meet Energy-based Theory: Operator Learning for Hamiltonian and Dissipative PDEs Yusuke Tanaka Takaharu Yaguchi Tomoharu Iwata N. Ueda AI4CE 116 0 0 14 Feb 2024
Denoising Diffusion Restoration Tackles Forward and Inverse Problems for the Laplace Operator Amartya Mukherjee M. Stadt Lena Podina Mohammad Kohandel Jun Liu DiffM 51 0 0 13 Feb 2024
Uncertainty Quantification for Forward and Inverse Problems of PDEs via Latent Global Evolution Tailin Wu Willie Neiswanger Hongtao Zheng Stefano Ermon J. Leskovec AI4CE 94 3 0 13 Feb 2024
Gaussian Ensemble Belief Propagation for Efficient Inference in High-Dimensional Systems Dan MacKinlay Russell Tsuchida Dan Pagendam Petra M. Kuhnert 70 2 0 13 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 79 3 0 13 Feb 2024
Rolling Diffusion Models David Ruhe Jonathan Heek Tim Salimans Emiel Hoogeboom DiffM 100 41 0 12 Feb 2024
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains Minglang Yin Nicolas Charon Ryan Brody Lu Lu Natalia A. Trayanova M. Maggioni AI4CE 94 11 0 11 Feb 2024
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples Jun Hu Pengzhan Jin 58 9 0 11 Feb 2024
Error Estimation for Physics-informed Neural Networks Approximating Semilinear Wave Equations Beatrice Lorenz Aras Bacho Gitta Kutyniok PINN 58 2 0 11 Feb 2024
Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics Artur Toshev Jonas A. Erbesdobler Nikolaus A. Adams Johannes Brandstetter AI4CE 106 5 0 09 Feb 2024
AI enhanced data assimilation and uncertainty quantification applied to Geological Carbon Storage G. S. Seabra N. T. Mücke Vinicius Luiz Santos Silva Denis Voskov F. Vossepoel AI4CE 58 14 0 09 Feb 2024
A Novel Paradigm in Solving Multiscale Problems Jing Wang Zheng Li Pengyu Lai Rui Wang Di Yang Dewu Yang Hui Xu Wenquan Tao AI4CE 78 0 0 07 Feb 2024
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems Yair Schiff Zhong Yi Wan Jeffrey B. Parker Stephan Hoyer Volodymyr Kuleshov Fei Sha Leonardo Zepeda-Núñez 142 15 0 06 Feb 2024
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning and Levels-of-Experts Kun Wang Hao Wu Guibin Zhang Sihang Li Yuxuan Liang Yuankai Wu Roger Zimmermann Yang Wang 77 11 0 06 Feb 2024
Operator SVD with Neural Networks via Nested Low-Rank Approximation J. Jon Ryu Xiangxiang Xu H. Erol Yuheng Bu Lizhong Zheng G. Wornell 83 0 0 06 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 81 8 0 05 Feb 2024
Learning solutions of parametric Navier-Stokes with physics-informed neural networks M. Naderibeni Marcel J. T. Reinders L. Wu David Tax PINN 118 2 0 05 Feb 2024
Functional SDE approximation inspired by a deep operator network architecture Martin Eigel Charles Miranda 75 1 0 05 Feb 2024
Accelerating PDE Data Generation via Differential Operator Action in Solution Space Huanshuo Dong Hong Wang Haoyang Liu Jian Luo Jie Wang AI4CE 77 2 0 04 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction Qilong Ma Haixu Wu Lanxiang Xing Jianmin Wang Mingsheng Long AI4CE 82 0 0 04 Feb 2024
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Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model Luis Kaiser Richard Tsai Christian Klingenberg 39 1 0 04 Feb 2024
Calibrated Uncertainty Quantification for Operator Learning via Conformal Prediction Ziqi Ma Kamyar Azizzadenesheli A. Anandkumar 83 8 0 02 Feb 2024
Challenges in Training PINNs: A Loss Landscape Perspective Pratik Rathore Weimu Lei Zachary Frangella Lu Lu Madeleine Udell AI4CE PINN ODL 105 54 0 02 Feb 2024
Resolution invariant deep operator network for PDEs with complex geometries Jianguo Huang Yue Qiu 88 0 0 01 Feb 2024
Mesh motion in fluid-structure interaction with deep operator networks Ottar Hellan AI4CE 28 0 0 01 Feb 2024
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A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 83 4 0 01 Feb 2024
PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks Sizhuang He Bowen Li Yuhan Chen P. Perdikaris AI4CE PINN 160 36 0 01 Feb 2024
Closure Discovery for Coarse-Grained Partial Differential Equations Using Grid-based Reinforcement Learning Jan-Philipp von Bassewitz Sebastian Kaltenbach Petros Koumoutsakos AI4CE 147 2 0 01 Feb 2024
Operator learning without the adjoint Nicolas Boullé Diana Halikias Samuel E. Otto Alex Townsend 49 4 0 31 Jan 2024
A PNP ion channel deep learning solver with local neural network and finite element input data Hwi Lee Zhen Chao Harris Cobb Yingjie Liu Dexuan Xie 57 0 0 31 Jan 2024
Polynomial Chaos Expansions on Principal Geodesic Grassmannian Submanifolds for Surrogate Modeling and Uncertainty Quantification Dimitris G. Giovanis Dimitrios Loukrezis Ioannis G. Kevrekidis Michael D. Shields 77 4 0 30 Jan 2024
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PICL: Physics Informed Contrastive Learning for Partial Differential Equations Cooper Lorsung A. Farimani AI4CE 77 4 0 29 Jan 2024