Group Equivariant Fourier Neural Operators for Partial Differential Equations

9 June 2023

Papers citing "Group Equivariant Fourier Neural Operators for Partial Differential Equations"

24 / 24 papers shown

Title
Enhancing Fourier Neural Operators with Local Spatial Features Chaoyu Liu Davide Murari Chris Budd Lihao Liu Carola-Bibiane Schönlieb AI4CE 49 0 0 22 Mar 2025
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 31 0 0 15 Jul 2024
Equivariance via Minimal Frame Averaging for More Symmetries and Efficiency Yuchao Lin Jacob Helwig Shurui Gui Shuiwang Ji 47 8 0 11 Jun 2024
Space-Time Continuous PDE Forecasting using Equivariant Neural Fields David M. Knigge David R. Wessels Riccardo Valperga Samuele Papa J. Sonke E. Gavves Erik J. Bekkers AI4CE 46 4 0 10 Jun 2024
Spectral Convolutional Conditional Neural Processes Peiman Mohseni Nick Duffield 45 3 0 19 Apr 2024
Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective Shaoxiang Qin Fuyuan Lyu Wenhui Peng Dingyang Geng Ju Wang Naiping Gao Xue Liu Lei Wang AI4CE 37 0 0 10 Apr 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 39 6 0 28 Mar 2024
G-RepsNet: A Fast and General Construction of Equivariant Networks for Arbitrary Matrix Groups Sourya Basu Suhas Lohit Matthew Brand 47 0 0 23 Feb 2024
Clifford-Steerable Convolutional Neural Networks Maksim Zhdanov David Ruhe Maurice Weiler Ana Lucic Johannes Brandstetter Patrick Forré 52 12 0 22 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
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 35 3 0 13 Feb 2024
BENO: Boundary-embedded Neural Operators for Elliptic PDEs Haixin Wang Jiaxin Li Anubhav Dwivedi Kentaro Hara Tailin Wu 32 7 0 17 Jan 2024
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 29 8 0 18 Dec 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 37 10 0 08 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
BubbleML: A Multi-Physics Dataset and Benchmarks for Machine Learning Sheikh Md Shakeel Hassan Arthur Feeney A. Dhruv Jih-Woon Kim Youngjoon Suh Jaiyoung Ryu Y. Won Aparna Chandramowlishwaran AI4CE 33 10 0 27 Jul 2023
A Latent Diffusion Model for Protein Structure Generation Cong Fu Keqiang Yan Limei Wang Wing Yee Au Michael McThrow Tao Komikado Koji Maruhashi Kanji Uchino Xiaoning Qian Shuiwang Ji DiffM 31 31 0 06 May 2023
Fourier Neural Operator Surrogate Model to Predict 3D Seismic Waves Propagation F. Lehmann F. Gatti M. Bertin Didier Clouteau AI4CE 31 24 0 20 Apr 2023
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 108 29 0 11 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 61 120 0 30 Sep 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 122 256 0 11 Jul 2022
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics Rui Wang Robin Walters Rose Yu 50 75 0 28 Jan 2022
Solving PDE-constrained Control Problems Using Operator Learning Rakhoon Hwang Jae Yong Lee J. Shin H. Hwang AI4CE 117 43 0 09 Nov 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 271 2,315 0 18 Oct 2020