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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
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 88 0 0 25 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 89 2 0 24 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 69 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 48 0 0 23 Apr 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Zherui Yang Zhengyang Xue Ligang Liu 66 0 0 22 Apr 2025
Generative emulation of chaotic dynamics with coherent prior Juan Nathaniel Pierre Gentine AI4TS AI4CE 62 3 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 80 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 84 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 Miruna Oprescu Shinjae Yoo AI4TS 57 0 0 16 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 99 1 0 15 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 99 0 0 15 Apr 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 54 1 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 55 0 0 14 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 61 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 103 2 0 11 Apr 2025
PINP: Physics-Informed Neural Predictor with latent estimation of fluid flows Huaguan Chen Yang Liu Hao Sun PINN AI4CE 74 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 106 0 0 08 Apr 2025
Neural network-enhanced integrators for simulating ordinary differential equations Amine Othmane Kathrin Flaßkamp 33 0 0 07 Apr 2025
Closed-Loop Neural Operator-Based Observer of Traffic Density Alice Harting Karl H. Johansson Matthieu Barreau 60 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 129 1 0 05 Apr 2025
Learning Dual-Arm Coordination for Grasping Large Flat Objects Yongliang Wang Hamidreza Kasaei 95 2 0 04 Apr 2025
Adaptive Frequency Enhancement Network for Remote Sensing Image Semantic Segmentation Feng Gao Miao Fu Jingchao Cao Junyu Dong Q. Du 89 0 0 03 Apr 2025
Implicit Neural Differential Model for Spatiotemporal Dynamics Deepak Akhare P. Du Tengfei Luo Jian-Xun Wang PINN AI4CE 70 0 0 03 Apr 2025
Provably Accurate Adaptive Sampling for Collocation Points in Physics-informed Neural Networks Antoine Caradot Rémi Emonet Amaury Habrard Abdel-Rahim Mezidi M. Sebban 75 0 0 01 Apr 2025
Reducing Smoothness with Expressive Memory Enhanced Hierarchical Graph Neural Networks Thomas Bailie Yun Sing Koh S. Karthik Mukkavilli V. Vetrova AI4TS 254 0 0 01 Apr 2025
Active Learning Design: Modeling Force Output for Axisymmetric Soft Pneumatic Actuators Gregory M. Campbell Gentian Muhaxheri Leonardo Ferreira Guilhoto Christian D. Santangelo P. Perdikaris James Pikul Mark H. Yim 108 0 0 01 Apr 2025
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving Jianing Huang Kaixuan Zhang Youjia Wu Ze Cheng AI4CE 85 0 0 01 Apr 2025
Towards scientific machine learning for granular material simulations -- challenges and opportunities Marc Fransen Andreas Fürst D. Tunuguntla Daniel N. Wilke Benedikt Alkin ... Takayuki Shuku WaiChing Sun T. Weinhart Dongwei Ye Hongyang Cheng AI4CE 70 1 0 01 Apr 2025
Physics-informed neural networks for hidden boundary detection and flow field reconstruction Yongzheng Zhu Weizheng Chen Jian Deng Xin Bian PINN AI4CE 66 0 0 31 Mar 2025
New universal operator approximation theorem for encoder-decoder architectures (Preprint) Janek Gödeke Pascal Fernsel 72 0 0 31 Mar 2025
Plane-Wave Decomposition and Randomised Training; a Novel Path to Generalised PINNs for SHM Rory Clements James Ellis Geoff Hassall Simon Horsley Gavin Tabor 128 0 0 31 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Zhou Amir Barati Farimani DiffM AI4CE 143 2 0 28 Mar 2025
Uncertainty propagation in feed-forward neural network models Jeremy Diamzon Daniele Venturi 132 0 0 27 Mar 2025
Generalizable Implicit Neural Representations via Parameterized Latent Dynamics for Baroclinic Ocean Forecasting Guang Zhao Xihaier Luo Seungjun Lee Yihui Ren Shinjae Yoo Luke Van Roekel B. Nadiga S. Narayanan Yixuan Sun Wei Xu AI4CE 94 0 0 27 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations Hamidreza Eivazi Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 109 1 0 27 Mar 2025
A multi-agentic framework for real-time, autonomous freeform metasurface design Robert Lupoiu Yixuan Shao Tianxiang Dai Chenkai Mao Kofi Edee Jonathan A. Fan AI4CE 108 1 0 26 Mar 2025
Data-efficient rapid prediction of urban airflow and temperature fields for complex building geometries Shaoxiang Qin Dongxue Zhan Ahmed Marey Dingyang Geng Theodore Potsis Lei Wang AI4CE 104 0 0 25 Mar 2025
A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction Leander Kurscheidt Paolo Morettin Roberto Sebastiani Andrea Passerini Antonio Vergari 164 1 0 25 Mar 2025
Frequency Dynamic Convolution for Dense Image Prediction Linwei Chen Lin Gu Liang Li C. Yan Ying Fu 71 0 0 24 Mar 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training A. Totounferoush Serge Kotchourko Michael W. Mahoney Siyang Song AI4CE 107 1 0 24 Mar 2025
PNN: A Novel Progressive Neural Network for Fault Classification in Rotating Machinery under Small Dataset Constraint Praveen Chopra Himanshu Kumar Sandeep Yadav AI4CE 96 0 0 24 Mar 2025
Theory-to-Practice Gap for Neural Networks and Neural Operators Philipp Grohs S. Lanthaler Margaret Trautner 117 3 0 23 Mar 2025
HyperNOs: Automated and Parallel Library for Neural Operators Research Massimiliano Ghiotto 85 1 0 23 Mar 2025
Adaptive Physics-informed Neural Networks: A Survey Edgar Torres Jonathan Schiefer Mathias Niepert PINN AI4CE 147 0 0 23 Mar 2025
PT-PINNs: A Parametric Engineering Turbulence Solver based on Physics-Informed Neural Networks Liang Jiang Yuzhou Cheng Kun Luo Jianren Fan PINN 62 0 0 22 Mar 2025
Enhancing Fourier Neural Operators with Local Spatial Features Chaoyu Liu Davide Murari Chris Budd Lihao Liu Carola-Bibiane Schönlieb Carola-Bibiane Schönlieb AI4CE 84 2 0 22 Mar 2025
Physics-Informed Deep B-Spline Networks for Dynamical Systems Zhuoyuan Wang Raffaele Romagnoli Jasmine Ratchford Yorie Nakahira PINN AI4CE 87 0 0 21 Mar 2025
QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs Afrah Farea Saiful Khan Mustafa Serdar Celebi PINN 165 0 0 20 Mar 2025
A discontinuity-capturing neural network with categorical embedding and its application to anisotropic elliptic interface problems Wei-Fan Hu Te-Sheng Lin M. Lai 70 0 0 19 Mar 2025
TripNet: Learning Large-scale High-fidelity 3D Car Aerodynamics with Triplane Networks Qian Chen Mohamed Elrefaie Angela Dai Faez Ahmed 3DPC AI4CE 152 1 0 19 Mar 2025