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"

50 / 1,289 papers shown

Title
A Physics-Informed Convolutional Long Short Term Memory Statistical Model for Fluid Thermodynamics Simulations Luca Menicali Andrew Grace David H. Richter Stefano Castruccio AI4CE 22 0 0 16 May 2025
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning Yuanzhao Zhang William Gilpin AI4TS 12 0 0 16 May 2025
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models Congcong Zhu Xiaoyan Xu Jiayue Han Jingrun Chen OOD AI4CE 31 0 0 16 May 2025
Reinforcement Learning Closures for Underresolved Partial Differential Equations using Synthetic Data Lothar Heimbach Sebastian Kaltenbach P. Karnakov Francis J. Alexander P. Koumoutsakos AI4CE 7 0 0 16 May 2025
Learning Nonlinear Dynamics in Physical Modelling Synthesis using Neural Ordinary Differential Equations Victor Zheleznov Stefan Bilbao Alec Wright Simon King 11 0 0 15 May 2025
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations Abdolmehdi Behroozi Chaopeng Shen and Daniel Kifer AI4CE 25 0 0 13 May 2025
Learning cardiac activation and repolarization times with operator learning Edoardo Centofanti Giovanni Ziarelli N. Parolini Simone Scacchi M. Verani L. Pavarino AI4CE 29 0 0 13 May 2025
FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers Tianyu Chen Haoyi Zhou Y. Li Hao Wang Z. Zhang Tianchen Zhu Shanghang Zhang J. Li 34 0 0 11 May 2025
Non-Stationary Time Series Forecasting Based on Fourier Analysis and Cross Attention Mechanism Yuqi Xiong Yang Wen AI4TS 26 0 0 11 May 2025
Universal Approximation Theorem for Deep Q-Learning via FBSDE System Qian Qi 29 0 0 09 May 2025
SPIN-ODE: Stiff Physics-Informed Neural ODE for Chemical Reaction Rate Estimation Wenqing Peng Zhi-Song Liu Michael Boy 29 0 0 08 May 2025
Learning dynamically inspired invariant subspaces for Koopman and transfer operator approximation Gary Froyland Kevin Kühl 33 0 0 08 May 2025
Hamiltonian Normalizing Flows as kinetic PDE solvers: application to the 1D Vlasov-Poisson Equations Vincent Souveton Sébastien Terrana 41 0 0 07 May 2025
SetONet: A Deep Set-based Operator Network for Solving PDEs with permutation invariant variable input sampling Stepan Tretiakov Xingjian Li Krishna Kumar 32 0 0 07 May 2025
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 130 0 0 06 May 2025
Exploring Design Choices for Autoregressive Deep Learning Climate Models Florian Gallusser Simon Hentschel Anna Krause Andreas Hotho AI4Cl 37 0 0 05 May 2025
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis Gianluca Fabiani H. Vandecasteele S. Goswami Constantinos Siettos Ioannis G. Kevrekidis 129 0 0 05 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems Han Wan Rui Zhang Qi Wang Y. Liu Hao Sun PINN 45 0 0 03 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations Hao-Ran Yang Chuan-Xian Ren 140 0 0 02 May 2025
Learning and Transferring Physical Models through Derivatives Alessandro Trenta Andrea Cossu Davide Bacciu AI4CE 36 0 0 02 May 2025
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs Shuwen Sun Lihong Feng P. Benner 47 0 0 01 May 2025
Data-driven operator learning for energy-efficient building control Yuexin Bian Yuanyuan Shi AI4CE 38 0 0 30 Apr 2025
FourierSpecNet: Neural Collision Operator Approximation Inspired by the Fourier Spectral Method for Solving the Boltzmann Equation Jae Yong Lee Gwang Jae Jung Byung Chan Lim Hyung Ju Hwang 52 0 0 29 Apr 2025
Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation Fauzan Nazranda Rizqan Matthew Hole Charles Gretton 43 0 0 29 Apr 2025
Geometry-Informed Neural Operator Transformer Qibang Liu Vincient Zhong Hadi Meidani Diab Abueidda S. Koric Philippe Geubelle AI4CE 44 0 0 28 Apr 2025
Optimizing Hard Thresholding for Sparse Model Discovery Derek W. Jollie Scott G. McCalla 41 0 0 28 Apr 2025
HJRNO: Hamilton-Jacobi Reachability with Neural Operators Yankai Li Mo Chen 44 0 0 28 Apr 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 56 0 0 28 Apr 2025
Deep Physics Prior for First Order Inverse Optimization Haoyu Yang Kamyar Azizzadenesheli Haoxing Ren PINN AI4CE 75 0 0 28 Apr 2025
PODNO: Proper Orthogonal Decomposition Neural Operators Zilan Cheng Zhongjian Wang Li-Lian Wang Mejdi Azaiez 34 0 0 25 Apr 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study Prajwal Chauhan Salah Eddine Choutri Mohamed Ghattassi Nader Masmoudi Saif Eddin Jabari 39 0 0 25 Apr 2025
Plasma State Monitoring and Disruption Characterization using Multimodal VAEs Y. Poels Alessandro Pau Christian Donner Giulio Romanelli Olivier Sauter Cristina Venturini Vlado Menkovski TCV Team WPTE team 31 0 0 24 Apr 2025
Geometry aware inference of steady state PDEs using Equivariant Neural Fields representations Giovanni Catalani Michaël Bauerheim Frédéric Tost Xavier Bertrand Joseph Morlier AI4CE 52 0 0 24 Apr 2025
Frequency-Compensated Network for Daily Arctic Sea Ice Concentration Prediction Jialiang Zhang Feng Gao Yanhai Gan Junyu Dong Q. Du 26 0 0 23 Apr 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Zherui Yang Zhengyang Xue Ligang Liu 23 0 0 22 Apr 2025
Generative emulation of chaotic dynamics with coherent prior Juan Nathaniel Pierre Gentine AI4TS AI4CE 28 0 0 19 Apr 2025
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs Minsu Koh Beom-Chul Park Heejo Kong Seong-Whan Lee AI4CE 37 0 0 18 Apr 2025
Equilibrium Conserving Neural Operators for Super-Resolution Learning Vivek Oommen Andreas E. Robertson Daniel Diaz Coleman Alleman Zhen Zhang Anthony D. Rollett George Karniadakis Rémi Dingreville 33 1 0 18 Apr 2025
SCENT: Robust Spatiotemporal Learning for Continuous Scientific Data via Scalable Conditioned Neural Fields David K. Park Xihaier Luo Guang Zhao Seungjun Lee M. Oprescu Shinjae Yoo AI4TS 27 0 0 16 Apr 2025
MLPs and KANs for data-driven learning in physical problems: A performance comparison Raghav Pant Sikan Li Xingjian Li Hassan Iqbal Krishna Kumar AI4CE 47 0 0 15 Apr 2025
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition Wei Wang Maryam Hakimzadeh Haihui Ruan Somdatta Goswami AI4CE 35 0 0 15 Apr 2025
Virtual domain extension for imposing boundary conditions in flow simulation using pre-trained local neural operator Ximeng Ye Hongyu Li Zhen-Guo Yan AI4CE 33 0 0 14 Apr 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 20 0 0 14 Apr 2025
Leveraging Deep Operator Networks (DeepONet) for Acoustic Full Waveform Inversion (FWI) Kamaljyoti Nath Khemraj Shukla Victor C. Tsai Umair bin Waheed Christian Huber Omer Alpak Chuen-Song Chen Ligang Lu Amik St-Cyr 26 0 0 14 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators Ryan Y. Lin Julius Berner Valentin Duruisseaux David Pitt Daniel Leibovici Jean Kossaifi Kamyar Azizzadenesheli Anima Anandkumar AI4CE 43 0 0 11 Apr 2025
PINP: Physics-Informed Neural Predictor with latent estimation of fluid flows Huaguan Chen Yang Liu Hao Sun PINN AI4CE 53 0 0 08 Apr 2025
Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries Ali Kashefi T. Mukerji 3DPC PINN 49 0 0 08 Apr 2025
Closed-Loop Neural Operator-Based Observer of Traffic Density Alice Harting Karl H. Johansson Matthieu Barreau 35 0 0 07 Apr 2025
Neural network-enhanced integrators for simulating ordinary differential equations Amine Othmane Kathrin Flaßkamp 19 0 0 07 Apr 2025
Foundation Models for Environmental Science: A Survey of Emerging Frontiers Runlong Yu Shengyu Chen Yiqun Xie Huaxiu Yao J. Willard X. Jia AI4CE 33 1 0 05 Apr 2025