Neural Operator: Learning Maps Between Function Spaces

19 August 2021

Nikola B. Kovachki

Zong-Yi Li

Burigede Liu

Kamyar Azizzadenesheli

Papers citing "Neural Operator: Learning Maps Between Function Spaces"

50 / 75 papers shown

Title
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
Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation Fauzan Nazranda Rizqan Matthew Hole Charles Gretton 41 0 0 29 Apr 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations Hamidreza Eivazi Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 41 0 0 27 Mar 2025
Uncertainty propagation in feed-forward neural network models Jeremy Diamzon Daniele Venturi 60 0 0 27 Mar 2025
Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems Jie Chen AI4CE 59 2 0 28 Jan 2025
NeurOp-Diff:Continuous Remote Sensing Image Super-Resolution via Neural Operator Diffusion Zihao Xu Yuzhi Tang Bowen Xu Qingquan Li DiffM 57 0 0 20 Jan 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Deep Optimal Sensor Placement for Black Box Stochastic Simulations Paula Cordero-Encinar Tobias Schröder P. Yatsyshin Andrew Duncan 45 0 0 15 Oct 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 33 4 0 02 Aug 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 29 42 0 09 Jul 2024
Neural networks in non-metric spaces Luca Galimberti 37 1 0 13 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 31 3 0 29 May 2024
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks R. Mattey Susanta Ghosh AI4CE 38 1 0 09 May 2024
End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver Shaocong Ma James Diffenderfer B. Kailkhura Yi Zhou AI4CE 40 0 0 17 Apr 2024
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning Tyler Chang Andrew Gillette R. Maulik 36 2 0 04 Apr 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 42 8 0 19 Feb 2024
Equivariant Graph Neural Operator for Modeling 3D Dynamics Minkai Xu Jiaqi Han Aaron Lou Jean Kossaifi Arvind Ramanathan Kamyar Azizzadenesheli J. Leskovec Stefano Ermon A. Anandkumar AI4CE 29 16 0 19 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 26 5 0 19 Jan 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 45 7 0 04 Jan 2024
Statistical Spatially Inhomogeneous Diffusion Inference Yinuo Ren Yiping Lu Lexing Ying Grant M. Rotskoff 10 2 0 10 Dec 2023
Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zong-Yi Li Nikola B. Kovachki Chris Choy Boyi Li Jean Kossaifi ... M. A. Nabian Maximilian Stadler Christian Hundt Kamyar Azizzadenesheli Anima Anandkumar AI4CE 34 130 0 01 Sep 2023
Rapid Flood Inundation Forecast Using Fourier Neural Operator Alexander Y. Sun Zhi Li Won-Bo Lee Qixing Huang B. Scanlon Clint Dawson AI4CE 24 12 0 29 Jul 2023
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems Yongcun Song Xiaoming Yuan Hangrui Yue AI4CE 19 2 0 01 Jul 2023
Physics Informed Token Transformer for Solving Partial Differential Equations Cooper Lorsung Zijie Li Amir Barati Farimani AI4CE 29 15 0 15 May 2023
A graph convolutional autoencoder approach to model order reduction for parametrized PDEs F. Pichi B. Moya J. Hesthaven AI4CE 30 52 0 15 May 2023
Neural operator for structural simulation and bridge health monitoring Chawit Kaewnuratchadasorn Jiaji Wang Chul-Woo Kim AI4CE 14 9 0 13 May 2023
A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks Marc Finzi Andres Potapczynski M. Choptuik A. Wilson 13 12 0 28 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 24 0 0 25 Apr 2023
Resolution-Invariant Image Classification based on Fourier Neural Operators Samira Kabri Tim Roith Daniel Tenbrinck Martin Burger 21 5 0 02 Apr 2023
$$\infty$-Diff: Infinite Resolution Diffusion with Subsampled Mollified States$ $\infty$ -Diff: Infinite Resolution Diffusion with Subsampled Mollified States Sam Bond-Taylor Chris G. Willcocks 32 15 0 31 Mar 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 32 20 0 30 Mar 2023
Challenges and opportunities for machine learning in multiscale computational modeling Phong C. H. Nguyen Joseph B. Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE 22 8 0 22 Mar 2023
Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations Xiongye Xiao De-An Cao Ruochen Yang Gaurav Gupta Gengshuo Liu Chenzhong Yin R. Balan P. Bogdan 66 9 0 04 Mar 2023
Score-based Diffusion Models in Function Space Jae Hyun Lim Nikola B. Kovachki Ricardo Baptista Christopher Beckham Kamyar Azizzadenesheli ... Karsten Kreis Jan Kautz Christopher Pal Arash Vahdat Anima Anandkumar DiffM 70 37 0 14 Feb 2023
A Survey on Deep Learning based Time Series Analysis with Frequency Transformation Kun Yi Qi Zhang LongBing Cao Shoujin Wang Guodong Long Liang Hu Hui He ZhenDong Niu Wei Fan Hui Xiong AI4TS 55 21 0 04 Feb 2023
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations Jianqing Zhu Juncai He Qiumei Huang 30 4 0 02 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series Yesom Park Jaemoo Choi Changyeon Yoon Changhoon Song Myung-joo Kang AI4TS AI4CE 18 3 0 02 Feb 2023
Graph Neural Operators for Classification of Spatial Transcriptomics Data Junaid Ahmed Alhassan S. Yasin MedIm AI4CE 12 1 0 01 Feb 2023
Continuous Spatiotemporal Transformers Antonio H. O. Fonseca E. Zappala J. O. Caro David van Dijk 20 7 0 31 Jan 2023
Neural Inverse Operators for Solving PDE Inverse Problems Roberto Molinaro Yunan Yang Bjorn Engquist Siddhartha Mishra AI4CE 19 35 0 26 Jan 2023
AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutions F. Bonnet Jocelyn Ahmed Mazari Paola Cinnella Patrick Gallinari AI4CE 25 54 0 15 Dec 2022
Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators Ha Maust Zong-Yi Li Yixuan Wang Daniel Leibovici O. Bruno T. Hou Anima Anandkumar AI4CE 21 10 0 29 Nov 2022
PaCMO: Partner Dependent Human Motion Generation in Dyadic Human Activity using Neural Operators Md Ashiqur Rahman Jasorsi Ghosh Hrishikesh Viswanath Kamyar Azizzadenesheli Aniket Bera 27 8 0 25 Nov 2022
Fast Sampling of Diffusion Models via Operator Learning Hongkai Zheng Weili Nie Arash Vahdat Kamyar Azizzadenesheli Anima Anandkumar DiffM 46 131 0 24 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 27 48 0 14 Nov 2022
Partial Differential Equations Meet Deep Neural Networks: A Survey Shudong Huang Wentao Feng Chenwei Tang Jiancheng Lv AI4CE AIMat 24 17 0 27 Oct 2022
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 22 201 0 13 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 24 0 03 Oct 2022
Minimax Optimal Kernel Operator Learning via Multilevel Training Jikai Jin Yiping Lu Jose H. Blanchet Lexing Ying 18 11 0 28 Sep 2022
Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs Emilia Magnani Nicholas Kramer Runa Eschenhagen Lorenzo Rosasco Philipp Hennig UQCV BDL 13 9 0 02 Aug 2022