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
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 40 0 0 20 Feb 2024
PARCv2: Physics-aware Recurrent Convolutional Neural Networks for Spatiotemporal Dynamics Modeling Phong C. H. Nguyen Xinlun Cheng Shahab Azarfar P. Seshadri Y. Nguyen Munho Kim Sanghun Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE PINN 45 1 0 19 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 33 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 48 8 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 46 4 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 Keli Zhang AI4TS 37 9 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 75 5 0 18 Feb 2024
Deep adaptive sampling for surrogate modeling without labeled data Xili Wang Keju Tang Jiayu Zhai Xiaoliang Wan Chao Yang 35 2 0 17 Feb 2024
Parametric Learning of Time-Advancement Operators for Unstable Flame Evolution Rixin Yu Erdzan Hodzic AI4CE 27 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 26 1 0 14 Feb 2024
Sobolev Training for Operator Learning Namkyeong Cho Junseung Ryu Hyung Ju Hwang 11 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 47 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 14 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 13 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 22 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 28 3 0 13 Feb 2024
Rolling Diffusion Models David Ruhe Jonathan Heek Tim Salimans Emiel Hoogeboom DiffM 35 32 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 60 11 0 11 Feb 2024
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples Jun Hu Pengzhan Jin 34 8 0 11 Feb 2024
Error Estimation for Physics-informed Neural Networks Approximating Semilinear Wave Equations Beatrice Lorenz Aras Bacho Gitta Kutyniok PINN 19 2 0 11 Feb 2024
Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics Artur P. Toshev Jonas A. Erbesdobler Nikolaus A. Adams Johannes Brandstetter AI4CE 46 4 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 21 10 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 21 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 36 13 0 06 Feb 2024
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning and Levels-of-Experts Kun Wang Hao Wu Guibin Zhang Junfeng Fang Keli Zhang Yuankai Wu Roger Zimmermann Yang Wang 27 8 0 06 Feb 2024
Operator SVD with Neural Networks via Nested Low-Rank Approximation Jeonghun Ryu Xiangxiang Xu H. Erol Yuheng Bu Lizhong Zheng G. Wornell 26 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 46 6 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 34 2 0 05 Feb 2024
Functional SDE approximation inspired by a deep operator network architecture Martin Eigel Charles Miranda 26 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 16 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 29 0 0 04 Feb 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries Haixu Wu Huakun Luo Haowen Wang Jianmin Wang Mingsheng Long AI4CE 52 44 0 04 Feb 2024
Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model Luis Kaiser Richard Tsai Christian Klingenberg 22 1 0 04 Feb 2024
Calibrated Uncertainty Quantification for Operator Learning via Conformal Prediction Ziqi Ma Kamyar Azizzadenesheli A. Anandkumar 29 6 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 44 41 0 02 Feb 2024
Resolution invariant deep operator network for PDEs with complex geometries Jianguo Huang Yue Qiu 32 0 0 01 Feb 2024
Mesh motion in fluid-structure interaction with deep operator networks Ottar Hellan AI4CE 20 0 0 01 Feb 2024
ChaosBench: A Multi-Channel, Physics-Based Benchmark for Subseasonal-to-Seasonal Climate Prediction Juan Nathaniel Yongquan Qu Tung Nguyen Sungduk Yu Julius J. M. Busecke Aditya Grover Pierre Gentine AI4Cl AI4TS 17 11 0 01 Feb 2024
A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 31 4 0 01 Feb 2024
PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks Sizhuang He Bowen Li Yuhan Chen P. Perdikaris AI4CE PINN 26 29 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 38 2 0 01 Feb 2024
Operator learning without the adjoint Nicolas Boullé Diana Halikias Samuel E. Otto Alex Townsend 26 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 22 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 33 3 0 30 Jan 2024
Speeding up and reducing memory usage for scientific machine learning via mixed precision Joel Hayford Jacob Goldman-Wetzler Eric Wang Lu Lu 49 8 0 30 Jan 2024
PICL: Physics Informed Contrastive Learning for Partial Differential Equations Cooper Lorsung A. Farimani AI4CE 33 4 0 29 Jan 2024
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations Han Huang Rongjie Lai 30 2 0 27 Jan 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 36 1 0 26 Jan 2024
Compositional Generative Inverse Design Tailin Wu Takashi Maruyama Long Wei Tao Zhang Yilun Du Gianluca Iaccarino J. Leskovec DiffM AI4CE 31 6 0 24 Jan 2024
Continuous Field Reconstruction from Sparse Observations with Implicit Neural Networks Xihaier Luo Wei-ping Xu Yihui Ren Shinjae Yoo B. Nadiga 26 10 0 21 Jan 2024