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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DON-LSTM: Multi-Resolution Learning with DeepONets and Long Short-Term Memory Neural Networks Katarzyna Michalowska S. Goswami George Karniadakis S. Riemer-Sørensen AI4TS 42 1 0 03 Oct 2023
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CoNO: Complex Neural Operator for Continuous Dynamical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 30 1 0 03 Oct 2023
Discovering Symmetry Breaking in Physical Systems with Relaxed Group Convolution Rui Wang E. Hofgard Han Gao Robin Walters Tess E. Smidt AI4CE 49 10 0 03 Oct 2023
Score-based Data Assimilation for a Two-Layer Quasi-Geostrophic Model François Rozet Gilles Louppe 15 5 0 03 Oct 2023
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OceanNet: A principled neural operator-based digital twin for regional oceans Ashesh Chattopadhyay Michael Gray Tianning Wu Anna B. Lowe Ruoying He AI4Cl 30 13 0 01 Oct 2023
Spectral Neural Networks: Approximation Theory and Optimization Landscape Chenghui Li Rishi Sonthalia Nicolas García Trillos 37 1 0 01 Oct 2023
GNRK: Graph Neural Runge-Kutta method for solving partial differential equations Hoyun Choi Sungyeop Lee B. Kahng Junghyo Jo AI4CE 39 1 0 01 Oct 2023
Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs Jean Kossaifi Nikola B. Kovachki Kamyar Azizzadenesheli Anima Anandkumar AI4CE 42 33 0 29 Sep 2023
Graph-based Neural Weather Prediction for Limited Area Modeling Leo Feng Tomas Landelius Yoshua Bengio AI4CE 33 11 0 29 Sep 2023
Neural Lithography: Close the Design-to-Manufacturing Gap in Computational Optics with a 'Real2Sim' Learned Photolithography Simulator Emily Black Guangyuan Zhao Daniel E. Ho AI4CE 18 1 0 29 Sep 2023
Multi-Resolution Active Learning of Fourier Neural Operators Shibo Li Xin Yu Wei W. Xing Mike Kirby Akil Narayan Shandian Zhe AI4CE 35 4 0 29 Sep 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers Yuxuan Liu Zecheng Zhang Hayden Schaeffer 29 18 0 28 Sep 2023
LagrangeBench: A Lagrangian Fluid Mechanics Benchmarking Suite Stefania Costantini Gianluca Galletti Fabian Fritz Stefan Adami Nikolaus A. Adams 40 13 0 28 Sep 2023
High Throughput Training of Deep Surrogates from Large Ensemble Runs Lucas Meyer M. Schouler R. Caulk Alejandro Ribés Bruno Raffin AI4CE 27 5 0 28 Sep 2023
A Spectral Approach for Learning Spatiotemporal Neural Differential Equations Mingtao Xia Xiangting Li Qijing Shen Tom Chou 19 0 0 28 Sep 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 43 0 0 27 Sep 2023
Neural Operators for Accelerating Scientific Simulations and Design Kamyar Azzizadenesheli Nikola B. Kovachki Zong-Yi Li Miguel Liu-Schiaffini Jean Kossaifi Anima Anandkumar AI4CE 41 128 0 27 Sep 2023
A Fourier Neural Operator Approach for Modelling Exciton-Polariton Condensate Systems S. T. Sathujoda Yuan Wang Krzysztof Sawicki Kanishk Gandhi Angelica I Aviles-Rivero Pavlos G. Lagoudakis 27 0 0 27 Sep 2023
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping Points Gianluca Fabiani N. Evangelou Tianqi Cui J. M. Bello-Rivas Cristina P. Martin-Linares Constantinos Siettos Ioannis G. Kevrekidis 38 2 0 25 Sep 2023
DPA-WNO: A gray box model for a class of stochastic mechanics problem Tushar Souvik Chakraborty DiffM 26 3 0 24 Sep 2023
Turbulence in Focus: Benchmarking Scaling Behavior of 3D Volumetric Super-Resolution with BLASTNet 2.0 Data Wai Tong Chung Bassem Akoush Pushan Sharma Alex Tamkin Kihoon Jung ... D. Brouzet M. Talei B. Savard A. Poludnenko M. Ihme AI4CE 38 13 0 23 Sep 2023
AI Foundation Models for Weather and Climate: Applications, Design, and Implementation S. K. Mukkavilli Daniel Salles Civitarese J. Schmude Johannes Jakubik Anne Jones ... R. Ganti Hendrik Hamann U. Nair Rahul Ramachandran Kommy Weldemariam AI4Cl AI4CE 32 18 0 19 Sep 2023
Training neural mapping schemes for satellite altimetry with simulation data Q. Febvre Julien Le Sommer C. Ubelmann Ronan Fablet 11 9 0 19 Sep 2023
Latent assimilation with implicit neural representations for unknown dynamics Zhuoyuan Li Bin Dong Pingwen Zhang AI4CE 24 3 0 18 Sep 2023
Energy stable neural network for gradient flow equations Gang-Han Fan Tianyu Jin Yuan Lan Yang Xiang Luchan Zhang 41 0 0 17 Sep 2023
Trajectory Prediction for Robot Navigation using Flow-Guided Markov Neural Operator Rashmi Bhaskara Hrishikesh Viswanath Aniket Bera 34 5 0 17 Sep 2023
CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics Yining Luo Yingfa Chen Zhen Zhang AI4CE 25 9 0 13 Sep 2023
Frequency-Aware Masked Autoencoders for Multimodal Pretraining on Biosignals Ran Liu Ellen L. Zippi Hadi Pouransari Chris Sandino Jingping Nie Hanlin Goh Erdrin Azemi Ali Moin 44 12 0 12 Sep 2023
Interpretable learning of effective dynamics for multiscale systems Emmanuel Menier Sebastian Kaltenbach Mouadh Yagoubi Marc Schoenauer Petros Koumoutsakos AI4CE 36 6 0 11 Sep 2023
Advancing Parsimonious Deep Learning Weather Prediction using the HEALPix Mesh Matthias Karlbauer Nathaniel Cresswell-Clay Dale Durran Raul A Moreno Thorsten Kurth Boris Bonev Noah D. Brenowitz Martin Volker Butz MDE 28 20 0 11 Sep 2023
Online Infinite-Dimensional Regression: Learning Linear Operators Vinod Raman Unique Subedi Ambuj Tewari 29 0 0 08 Sep 2023
Broadband Ground Motion Synthesis via Generative Adversarial Neural Operators: Development and Validation Yaozhong Shi Grigorios Lavrentiadis D. Asimaki Zachary E. Ross Kamyar Azizzadenesheli 23 19 0 07 Sep 2023
A Survey on Physics Informed Reinforcement Learning: Review and Open Problems C. Banerjee Kien Nguyen Clinton Fookes M. Raissi PINN AI4CE 33 9 0 05 Sep 2023
Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation Georg Kohl Li-Wei Chen Nils Thuerey AI4CE DiffM 42 22 0 04 Sep 2023
On the training and generalization of deep operator networks Sanghyun Lee Yeonjong Shin 16 19 0 02 Sep 2023
Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zong-Yi Li Nikola B. Kovachki Chris Choy Boyi Li Jean Kossaifi ... M. A. Nabian Maximilian Stadler Christian Hundt Kamyar Azizzadenesheli Anima Anandkumar AI4CE 36 135 0 01 Sep 2023
Scattering with Neural Operators Sebastian Mizera AI4CE 29 9 0 28 Aug 2023
SAM-PARSER: Fine-tuning SAM Efficiently by Parameter Space Reconstruction Zelin Peng Zhengqin Xu Zhilin Zeng Xiaokang Yang Wei-Ming Shen 40 20 0 28 Aug 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers Arthur Feeney Zitong Li Ramin Bostanabad Aparna Chandramowlishwaran AI4CE 18 1 0 28 Aug 2023
Learning Only On Boundaries: a Physics-Informed Neural operator for Solving Parametric Partial Differential Equations in Complex Geometries Z. Fang Sizhuang He P. Perdikaris AI4CE 22 11 0 24 Aug 2023
Evaluation of Deep Neural Operator Models toward Ocean Forecasting Ellery Rajagopal Anantha N.S. Babu Tony Ryu P. Haley C. Mirabito Pierre FJ Lermusiaux AI4Cl AI4CE 22 1 0 22 Aug 2023
Deep Learning of Delay-Compensated Backstepping for Reaction-Diffusion PDEs Shanshan Wang M. Diagne Miroslav Krstić 30 9 0 21 Aug 2023
Time Series Predictions in Unmonitored Sites: A Survey of Machine Learning Techniques in Water Resources J. Willard C. Varadharajan X. Jia Vipin Kumar AI4TS 25 3 0 18 Aug 2023
Reduced Order Modeling of a MOOSE-based Advanced Manufacturing Model with Operator Learning M. Yaseen D. Yushu P. German Xunfeng Wu AI4CE 25 1 0 18 Aug 2023
Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks Guanhang Lei Zhen Lei Lei Shi Chenyu Zeng Ding-Xuan Zhou 38 4 0 18 Aug 2023
How important are specialized transforms in Neural Operators? Ritam Majumdar Shirish S. Karande L. Vig AI4CE 19 3 0 18 Aug 2023
HyperLoRA for PDEs Ritam Majumdar Vishal Sudam Jadhav A. Deodhar Shirish S. Karande L. Vig Venkataramana Runkana PINN AI4CE 14 1 0 18 Aug 2023
A hybrid Decoder-DeepONet operator regression framework for unaligned observation data Bo Chen Chenyu Wang Weipeng Li Haiyang Fu 36 9 0 18 Aug 2023