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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
Learning smooth functions in high dimensions: from sparse polynomials to deep neural networks Ben Adcock Simone Brugiapaglia N. Dexter S. Moraga 61 4 0 04 Apr 2024
Composite Bayesian Optimization In Function Spaces Using NEON -- Neural Epistemic Operator Networks Leonardo Ferreira Guilhoto P. Perdikaris BDL 88 2 0 03 Apr 2024
Universal Functional Regression with Neural Operator Flows Yaozhong Shi Angela F. Gao Zachary E. Ross Kamyar Azizzadenesheli 104 5 0 03 Apr 2024
MODNO: Multi Operator Learning With Distributed Neural Operators Zecheng Zhang 132 8 0 03 Apr 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 87 7 0 28 Mar 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 103 8 0 28 Mar 2024
Nonlinear model reduction for operator learning Hamidreza Eivazi Stefan H. A. Wittek Andreas Rausch 57 4 0 27 Mar 2024
Heterogeneous Peridynamic Neural Operators: Discover Biotissue Constitutive Law and Microstructure From Digital Image Correlation Measurements S. Jafarzadeh Stewart Silling Lu Zhang Colton J. Ross Chung-Hao Lee S. M. R. Rahman Shuodao Wang Yue Yu 68 6 0 27 Mar 2024
Heracles: A Hybrid SSM-Transformer Model for High-Resolution Image and Time-Series Analysis Badri N. Patro Suhas Ranganath Vinay P. Namboodiri Vijay Srinivas Agneeswaran 99 3 0 26 Mar 2024
Masked Autoencoders are PDE Learners Anthony Zhou A. Farimani AI4CE 105 7 0 26 Mar 2024
Application-Driven Innovation in Machine Learning David Rolnick Alán Aspuru-Guzik Sara Beery B. Dilkina P. Donti ... Hannah Kerner C. Monteleoni Esther Rolf Milind Tambe Adam White 77 10 0 26 Mar 2024
Knowledge-guided Machine Learning: Current Trends and Future Prospects Anuj Karpatne X. Jia Vipin Kumar 103 12 0 24 Mar 2024
Learning-based Multi-continuum Model for Multiscale Flow Problems Fan Wang Yating Wang Wing Tat Leung Zongben Xu AI4CE 44 0 0 21 Mar 2024
Learning WENO for entropy stable schemes to solve conservation laws Philip Charles Deep Ray 96 1 0 21 Mar 2024
Learning with SASQuaTCh: a Novel Variational Quantum Transformer Architecture with Kernel-Based Self-Attention Ethan N. Evans Matthew G. Cook Zachary P. Bradshaw Margarite L. LaBorde 183 5 0 21 Mar 2024
Probabilistic Forecasting with Stochastic Interpolants and Föllmer Processes Yifan Chen Mark Goldstein Mengjian Hua M. S. Albergo Nicholas M. Boffi Eric Vanden-Eijnden AI4TS 110 19 0 20 Mar 2024
What explains the success of cross-modal fine-tuning with ORCA? Paloma García-de-Herreros Vagrant Gautam Philipp Slusallek Dietrich Klakow Marius Mosbach 90 0 0 20 Mar 2024
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation Janina Enrica Schutte Martin Eigel AI4CE 76 2 0 19 Mar 2024
Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs Md Ashiqur Rahman Robert Joseph George Mogab Elleithy Daniel Leibovici Zong-Yi Li ... Julius Berner Raymond A. Yeh Jean Kossaifi Kamyar Azizzadenesheli A. Anandkumar AI4CE 118 23 0 19 Mar 2024
Large-scale flood modeling and forecasting with FloodCast Qingsong Xu Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 84 20 0 18 Mar 2024
PETScML: Second-order solvers for training regression problems in Scientific Machine Learning Stefano Zampini Umberto Zerbinati George Turkyyiah David E. Keyes 67 5 0 18 Mar 2024
Approximation of RKHS Functionals by Neural Networks Tiancong Zhou Namjoon Suh Guang Cheng Xiaoming Huo 66 4 0 18 Mar 2024
Spatio-Temporal Fluid Dynamics Modeling via Physical-Awareness and Parameter Diffusion Guidance Hao Wu Fan Xu Yifan Duan Ziwei Niu Weiyan Wang Gaofeng Lu Kun Wang Yuxuan Liang Yang Wang DiffM AI4CE 87 8 0 18 Mar 2024
A Pretraining-Finetuning Computational Framework for Material Homogenization Yizheng Wang Xiang Li Ziming Yan Yuqing Du Jinshuai Bai Bokai Liu Timon Rabczuk Yinghua Liu AI4CE 29 1 0 18 Mar 2024
Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs S. C. Mouli Danielle C. Maddix S. Alizadeh Gaurav Gupta Andrew Stuart Michael W. Mahoney Yuyang Wang UQCV AI4CE 74 5 0 15 Mar 2024
Multifidelity linear regression for scientific machine learning from scarce data Elizabeth Qian Dayoung Kang Vignesh Sella Anirban Chaudhuri AI4CE 102 2 0 13 Mar 2024
Global 4D Ionospheric STEC Prediction based on DeepONet for GNSS Rays Dijia Cai Zenghui Shi Haiyang Fu Huan Liu Hongyi Qian Yun Sui Feng Xu Ya-Qiu Jin 58 2 0 12 Mar 2024
UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptation Junhong Shen Tanya Marwah Ameet Talwalkar AI4CE 93 6 0 11 Mar 2024
Frequency-Adaptive Dilated Convolution for Semantic Segmentation Linwei Chen Lin Gu Ying Fu 120 28 0 08 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 135 37 0 06 Mar 2024
Uncertainty quantification for deeponets with ensemble kalman inversion Andrew Pensoneault Xueyu Zhu 90 2 0 06 Mar 2024
BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet Lingfeng Li Xue-Cheng Tai Raymond H. F. Chan 80 1 0 29 Feb 2024
Orchid: Flexible and Data-Dependent Convolution for Sequence Modeling Mahdi Karami Ali Ghodsi VLM 116 6 0 28 Feb 2024
A non-intrusive machine learning framework for debiasing long-time coarse resolution climate simulations and quantifying rare events statistics Benedikt Barthel Sorensen A. Charalampopoulos Shixuan Zhang B. Harrop Ruby Leung T. Sapsis AI4Cl 33 10 0 28 Feb 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction Niclas Alexander Göring Florian Hess Manuel Brenner Zahra Monfared Daniel Durstewitz AI4CE 105 16 0 28 Feb 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations Zijie Li Saurabh Patil Francis Ogoke Dule Shu Wilson Zhen Michael Schneier John R. Buchanan A. Farimani AI4CE 89 5 0 27 Feb 2024
Neural Operators with Localized Integral and Differential Kernels Miguel Liu-Schiaffini Julius Berner Boris Bonev Thorsten Kurth Kamyar Azizzadenesheli A. Anandkumar 108 27 0 26 Feb 2024
PDETime: Rethinking Long-Term Multivariate Time Series Forecasting from the perspective of partial differential equations Shiyi Qi Zenglin Xu Yiduo Li Liangjiang Wen Qingsong Wen Qifan Wang Yuan Qi AI4TS AI4CE 93 0 0 25 Feb 2024
OmniArch: Building Foundation Model For Scientific Computing Tianyu Chen Haoyi Zhou Ying Li Hao Wang Chonghan Gao Rongye Shi Shanghang Zhang Jianxin Li AI4CE 79 0 0 25 Feb 2024
A novel data generation scheme for surrogate modelling with deep operator networks Shivam Choubey Birupaksha Pal Manish Agrawal AI4CE 40 0 0 24 Feb 2024
Operator Learning: Algorithms and Analysis Nikola B. Kovachki S. Lanthaler Andrew M. Stuart 148 33 0 24 Feb 2024
Learning Semilinear Neural Operators : A Unified Recursive Framework For Prediction And Data Assimilation Ashutosh Singh R. Borsoi Deniz Erdogmus Tales Imbiriba 84 1 0 24 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning Wuyang Chen Jialin Song Pu Ren Shashank Subramanian Dmitriy Morozov Michael W. Mahoney AI4CE 119 12 0 24 Feb 2024
Smooth and Sparse Latent Dynamics in Operator Learning with Jerk Regularization Xiaoyu Xie S. Mowlavi M. Benosman AI4CE 83 1 0 23 Feb 2024
G-RepsNet: A Fast and General Construction of Equivariant Networks for Arbitrary Matrix Groups Sourya Basu Suhas Lohit Matthew Brand 70 0 0 23 Feb 2024
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks Christian Moya Amirhossein Mollaali Zecheng Zhang Lu Lu Guang Lin UQCV 93 19 0 23 Feb 2024
Learning solution operators of PDEs defined on varying domains via MIONet Shanshan Xiao Pengzhan Jin Yifa Tang 84 3 0 23 Feb 2024
Solving a class of stochastic optimal control problems by physics-informed neural networks Zhe Jiao Xiao-zheng Luo Xinlei Yi 46 0 0 23 Feb 2024
Clifford-Steerable Convolutional Neural Networks Maksim Zhdanov David Ruhe Maurice Weiler Ana Lucic Johannes Brandstetter Patrick Forré 114 15 0 22 Feb 2024
CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations Jules Berman Benjamin Peherstorfer 91 10 0 22 Feb 2024