v1v2v3 (latest)

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 / 1,350 papers shown

Title
Hamilton-Jacobi Based Policy-Iteration via Deep Operator Learning Jae Yong Lee Yeoneung Kim 45 3 0 16 Jun 2024
A MgNO Method for Multiphase Flow in Porous Media Xinliang Liu Xia Yang Chen-Song Zhang Lian Zhang Li Zhao AI4CE 100 1 0 16 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 82 1 0 14 Jun 2024
Neural networks in non-metric spaces Luca Galimberti 88 1 0 13 Jun 2024
Enhancing Cross-Modal Fine-Tuning with Gradually Intermediate Modality Generation Lincan Cai Shuang Li Wenxuan Ma Jingxuan Kang Binhui Xie Zixun Sun Chengwei Zhu MoE MoMe 87 1 0 13 Jun 2024
FouRA: Fourier Low Rank Adaptation Shubhankar Borse Shreya Kadambi N. Pandey Kartikeya Bhardwaj Viswanath Ganapathy Sweta Priyadarshi Risheek Garrepalli Rafael Esteves Munawar Hayat Fatih Porikli 66 8 0 13 Jun 2024
Strategies for Pretraining Neural Operators Anthony Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 94 6 0 12 Jun 2024
Invariant multiscale neural networks for data-scarce scientific applications I. Schurov D. Alforov M. Katsnelson A. Bagrov A. Itin AI4CE 101 0 0 12 Jun 2024
Continuum Attention for Neural Operators Edoardo Calvello Nikola B. Kovachki Matthew E. Levine Andrew M. Stuart 95 11 0 10 Jun 2024
Space-Time Continuous PDE Forecasting using Equivariant Neural Fields David M. Knigge David R. Wessels Riccardo Valperga Samuele Papa Jan-Jakob Sonke E. Gavves Erik J. Bekkers AI4CE 94 9 0 10 Jun 2024
Learning Physical Simulation with Message Passing Transformer Zeyi Xu Yifei Li AI4CE 81 1 0 10 Jun 2024
Flexible Multi-Dimensional FFTs for Plane Wave Density Functional Theory Codes Doru-Thom Popovici M. D. Ben Osni Marques Andrew Canning 57 0 0 08 Jun 2024
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators Gianluca Fabiani Ioannis G. Kevrekidis Constantinos Siettos A. Yannacopoulos 104 13 0 08 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes Emilia Magnani Marvin Pfortner Tobias Weber Philipp Hennig UQCV 131 1 0 07 Jun 2024
Scaling up Probabilistic PDE Simulators with Structured Volumetric Information Tim Weiland Marvin Pfortner Philipp Hennig AI4CE 81 3 0 07 Jun 2024
Stochastic full waveform inversion with deep generative prior for uncertainty quantification Yuke Xie Hervé Chauris N. Desassis 64 3 0 07 Jun 2024
M2NO: Multiresolution Operator Learning with Multiwavelet-based Algebraic Multigrid Method Zhihao Li Zhilu Lai Xiaobo Wang Wei Wang 60 3 0 07 Jun 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan Oseledets Ekaterina Muravleva Ekaterina Muravleva DiffM AI4CE 69 0 0 07 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations Jan Hagnberger Marimuthu Kalimuthu Daniel Musekamp Mathias Niepert AI4TS AI4CE 98 5 0 06 Jun 2024
OceanCastNet: A Deep Learning Ocean Wave Model with Energy Conservation Ziliang Zhang Huaming Yu Danqin Ren PINN AI4Cl 70 2 0 06 Jun 2024
Pi-fusion: Physics-informed diffusion model for learning fluid dynamics Jing Qiu Jiancheng Huang Xiangdong Zhang Zeng Lin Minglei Pan Zengding Liu F. Miao AI4CE 88 3 0 06 Jun 2024
GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications Oisín M. Morrison F. Pichi J. Hesthaven AI4CE 72 6 0 05 Jun 2024
EngineBench: Flow Reconstruction in the Transparent Combustion Chamber III Optical Engine Samuel J. Baker Michael A. Hobley Isabel Scherl Xiaohang Fang Felix C. P. Leach M. Davy AI4CE 68 0 0 05 Jun 2024
Topological Neural Networks go Persistent, Equivariant, and Continuous Yogesh Verma Amauri H Souza Vikas Garg AI4CE 78 6 0 05 Jun 2024
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks K. Shukla Juan Diego Toscano Zhicheng Wang Zongren Zou George Karniadakis 133 87 0 05 Jun 2024
Solving Partial Differential Equations in Different Domains by Operator Learning method Based on Boundary Integral Equations Bin Meng Yutong Lu Ying Jiang 65 0 0 04 Jun 2024
The Deep Latent Space Particle Filter for Real-Time Data Assimilation with Uncertainty Quantification N. T. Mücke Sander M. Bohté C. Oosterlee 72 0 0 04 Jun 2024
AROMA: Preserving Spatial Structure for Latent PDE Modeling with Local Neural Fields Louis Serrano Thomas X. Wang E. L. Naour Jean-Noel Vittaut Patrick Gallinari 84 6 0 04 Jun 2024
Learning the Hodgkin-Huxley Model with Operator Learning Techniques Edoardo Centofanti Massimiliano Ghiotto Luca Franco Pavarino 67 6 0 04 Jun 2024
Neural Green's Operators for Parametric Partial Differential Equations Hugo Melchers Joost Prins Michael Abdelmalik 183 4 0 04 Jun 2024
FNP: Fourier Neural Processes for Arbitrary-Resolution Data Assimilation Kun Chen Tao Chen Peng Ye Hao Chen Kang Chen Tao Han Wanli Ouyang Lei Bai 82 6 0 03 Jun 2024
Reservoir History Matching of the Norne field with generative exotic priors and a coupled Mixture of Experts -- Physics Informed Neural Operator Forward Model C. Etienam Juntao Yang O. Ovcharenko Issam Said 63 1 0 02 Jun 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 108 1 0 01 Jun 2024
Solving partial differential equations with sampled neural networks Chinmay Datar Taniya Kapoor Abhishek Chandra Qing Sun Iryna Burak Erik Lien Bolager Anna Veselovska Massimo Fornasier Felix Dietrich 104 3 0 31 May 2024
Rough Transformers: Lightweight and Continuous Time Series Modelling through Signature Patching Fernando Moreno-Pino Alvaro Arroyo H. Waldon Xiaowen Dong Álvaro Cartea AI4TS 109 1 0 31 May 2024
Stochastic Optimal Control for Diffusion Bridges in Function Spaces Byoungwoo Park Jungwon Choi Sungbin Lim Juho Lee 136 4 0 31 May 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates Maria Bånkestad Olof Mogren Aleksis Pirinen 96 1 0 30 May 2024
Fourier Controller Networks for Real-Time Decision-Making in Embodied Learning Hengkai Tan Songming Liu Kai Ma Chengyang Ying Xingxing Zhang Hang Su Jun Zhu 91 2 0 30 May 2024
MGCP: A Multi-Grained Correlation based Prediction Network for Multivariate Time Series Zhicheng Chen Xi Xiao Ke-Li Xu Zhong Zhang Yu Rong Qing Li Guojun Gan Zhiqiang Xu Peilin Zhao AI4TS 79 0 0 30 May 2024
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity Benjamin Shih Ahmad Peyvan Zhongqiang Zhang George Karniadakis AI4CE 94 12 0 29 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 81 3 0 29 May 2024
Predicting Parking Availability in Singapore with Cross-Domain Data: A New Dataset and A Data-Driven Approach Huaiwu Zhang Yutong Xia Siru Zhong Kun Wang Zekun Tong Qingsong Wen Roger Zimmermann Yuxuan Liang 51 0 0 29 May 2024
Efficient Prior Calibration From Indirect Data O. Deniz Akyildiz Mark Girolami Andrew M. Stuart Arnaud Vadeboncoeur 100 2 0 28 May 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers Zhou Hang Yuezhou Ma Haixu Wu Haowen Wang Mingsheng Long AI4CE 76 11 0 27 May 2024
Accelerating Simulation of Two-Phase Flows with Neural PDE Surrogates Y. Poels Koen Minartz Harshit Bansal Vlado Menkovski AI4CE 80 1 0 27 May 2024
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on Physics-aware Metrics Hao Wu Xingjian Shi Ziyue Huang Penghao Zhao Wei Xiong Jinbao Xue Yangyu Tao Xiaomeng Huang Weiyan Wang AI4TS 106 2 0 27 May 2024
Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations Ze Cheng Zhongkai Hao Xiaoqiang Wang Jianing Huang Youjia Wu Xudan Liu Yiru Zhao Songming Liu Hang Su AI4CE 66 4 0 27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 107 0 0 27 May 2024
Time-SSM: Simplifying and Unifying State Space Models for Time Series Forecasting Jiaxi Hu Disen Lan Ziyu Zhou Qingsong Wen Yuxuan Liang AI4TS 102 9 0 25 May 2024
FUSE: Fast Unified Simulation and Estimation for PDEs Levi E. Lingsch Dana Grund Siddhartha Mishra Georgios Kissas AI4CE 95 2 0 23 May 2024