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
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 42 0 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 42 6 0 13 Jun 2024
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 41 5 0 12 Jun 2024
Invariant multiscale neural networks for data-scarce scientific applications I. Schurov D. Alforov M. Katsnelson A. Bagrov A. Itin AI4CE 42 0 0 12 Jun 2024
Continuum Attention for Neural Operators Edoardo Calvello Nikola B. Kovachki Matthew E. Levine Andrew M. Stuart 36 9 0 10 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 36 4 0 10 Jun 2024
Learning Physical Simulation with Message Passing Transformer Zeyi Xu Yifei Li AI4CE 50 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 29 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 27 11 0 08 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes Emilia Magnani Marvin Pfortner Tobias Weber Philipp Hennig UQCV 69 1 0 07 Jun 2024
Scaling up Probabilistic PDE Simulators with Structured Volumetric Information Tim Weiland Marvin Pfortner Philipp Hennig AI4CE 42 2 0 07 Jun 2024
Stochastic full waveform inversion with deep generative prior for uncertainty quantification Yuke Xie Hervé Chauris N. Desassis 38 2 0 07 Jun 2024
M2NO: Multiresolution Operator Learning with Multiwavelet-based Algebraic Multigrid Method Zhihao Li Zhilu Lai Xiaobo Wang Wei Wang 29 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 33 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 47 5 0 06 Jun 2024
OceanCastNet: A Deep Learning Ocean Wave Model with Energy Conservation Ziliang Zhang Huaming Yu Danqin Ren PINN AI4Cl 47 1 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 32 2 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 33 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 36 0 0 05 Jun 2024
Topological Neural Networks go Persistent, Equivariant, and Continuous Yogesh Verma Amauri H Souza Vikas K. Garg AI4CE 46 4 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 51 74 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 31 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 45 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 35 5 0 04 Jun 2024
Learning the Hodgkin-Huxley Model with Operator Learning Techniques Edoardo Centofanti Massimiliano Ghiotto L. Pavarino 20 4 0 04 Jun 2024
Neural Green's Operators for Parametric Partial Differential Equations Hugo Melchers Joost Prins Michael Abdelmalik 58 3 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 30 1 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 24 1 0 02 Jun 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 26 0 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 40 2 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 40 1 0 31 May 2024
Stochastic Optimal Control for Diffusion Bridges in Function Spaces Byoungwoo Park Jungwon Choi Sungbin Lim Juho Lee 50 3 0 31 May 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates Maria Bånkestad Olof Mogren Aleksis Pirinen 59 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 42 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 46 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 41 11 0 29 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 39 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 Keli Zhang 36 0 0 29 May 2024
Efficient Prior Calibration From Indirect Data O. Deniz Akyildiz Mark Girolami Andrew M. Stuart Arnaud Vadeboncoeur 38 1 0 28 May 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers Zhou Hang Yuezhou Ma Haixu Wu Haowen Wang Mingsheng Long AI4CE 36 9 0 27 May 2024
Accelerating Simulation of Two-Phase Flows with Neural PDE Surrogates Y. Poels Koen Minartz Harshit Bansal Vlado Menkovski AI4CE 40 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 58 1 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 40 2 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 44 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 Keli Zhang AI4TS 37 8 0 25 May 2024
FUSE: Fast Unified Simulation and Estimation for PDEs Levi E. Lingsch Dana Grund Siddhartha Mishra Georgios Kissas AI4CE 38 0 0 23 May 2024
Enhanced Spatiotemporal Prediction Using Physical-guided And Frequency-enhanced Recurrent Neural Networks Xuanle Zhao Yue Sun Tielin Zhang Bo Xu AI4CE 40 1 0 23 May 2024
RoPINN: Region Optimized Physics-Informed Neural Networks Haixu Wu Huakun Luo Yuezhou Ma Jianmin Wang Mingsheng Long AI4CE 34 7 0 23 May 2024
Interpretable Multivariate Time Series Forecasting Using Neural Fourier Transform Noam Koren Kira Radinsky AI4TS 44 2 0 22 May 2024
Enhancing Multiscale Simulations with Constitutive Relations-Aware Deep Operator Networks Hamidreza Eivazi Mahyar Alikhani Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 28 0 0 22 May 2024