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 / 283 papers shown

Title
A Learned Born Series for Highly-Scattering Media A. Stanziola Simon Arridge B. Cox B. Treeby 23 4 0 09 Dec 2022
Non-equispaced Fourier Neural Solvers for PDEs Haitao Lin Lirong Wu Yongjie Xu Yufei Huang Siyuan Li Guojiang Zhao Z. Stan 22 7 0 09 Dec 2022
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations Wuzhe Xu Yulong Lu Li Wang 29 33 0 09 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 23 34 0 06 Dec 2022
Diffusion Generative Models in Infinite Dimensions Gavin Kerrigan Justin Ley Padhraic Smyth DiffM 48 27 0 01 Dec 2022
An Introduction to Kernel and Operator Learning Methods for Homogenization by Self-consistent Clustering Analysis Owen Huang Sourav Saha Jiachen Guo Wing Kam Liu AI4CE 17 12 0 01 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 11 0 29 Nov 2022
Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs Robert Joseph George Jiawei Zhao Jean Kossaifi Zong-Yi Li Anima Anandkumar AI4CE 32 9 0 28 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 65 131 0 24 Nov 2022
AdaFNIO: Adaptive Fourier Neural Interpolation Operator for video frame interpolation Hrishikesh Viswanath Md Ashiqur Rahman Rashmi Bhaskara Aniket Bera VGen 23 3 0 19 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 49 0 14 Nov 2022
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flows Ivan Zanardi Simone Venturi M. Panesi AI4CE 57 17 0 27 Oct 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 30 209 0 13 Oct 2022
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 103 29 0 11 Oct 2022
Edge-Varying Fourier Graph Networks for Multivariate Time Series Forecasting Kun Yi Qi Zhang Liang Hu Hui He Ning An LongBing Cao ZhenDong Niu AI4TS 59 3 0 06 Oct 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 28 26 0 06 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 51 24 0 03 Oct 2022
Solving Coupled Differential Equation Groups Using PINO-CDE Wenhao Ding Qing He Hanghang Tong Qingjing Wang Ping Wang OOD AI4CE 27 4 0 01 Oct 2022
Neural Integral Equations E. Zappala Antonio H. O. Fonseca J. O. Caro David van Dijk 27 10 0 30 Sep 2022
Continuous PDE Dynamics Forecasting with Implicit Neural Representations Yuan Yin Matthieu Kirchmeyer Jean-Yves Franceschi A. Rakotomamonjy Patrick Gallinari AI4CE 22 48 0 29 Sep 2022
GeONet: a neural operator for learning the Wasserstein geodesic Andrew Gracyk Xiaohui Chen OT 18 2 0 28 Sep 2022
Minimax Optimal Kernel Operator Learning via Multilevel Training Jikai Jin Yiping Lu Jose H. Blanchet Lexing Ying 23 11 0 28 Sep 2022
Variationally Mimetic Operator Networks Dhruv V. Patel Deep Ray M. Abdelmalik T. Hughes Assad A. Oberai 55 23 0 26 Sep 2022
Bounding the Rademacher Complexity of Fourier neural operators Taeyoung Kim Myung-joo Kang AI4CE 17 9 0 12 Sep 2022
FourCastNet: Accelerating Global High-Resolution Weather Forecasting using Adaptive Fourier Neural Operators Thorsten Kurth Shashank Subramanian P. Harrington Jaideep Pathak Morteza Mardani D. Hall Andrea Miele K. Kashinath Anima Anandkumar AI4Cl 27 170 0 08 Aug 2022
Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs Emilia Magnani Nicholas Kramer Runa Eschenhagen Lorenzo Rosasco Philipp Hennig UQCV BDL 15 9 0 02 Aug 2022
Semi-supervised Learning of Partial Differential Operators and Dynamical Flows Michael Rotman A. Dekel R. Ber Lior Wolf Yaron Oz AI4CE 21 4 0 28 Jul 2022
Multiscale Neural Operator: Learning Fast and Grid-independent PDE Solvers Björn Lütjens Catherine H. Crawford C. Watson C. Hill Dava Newman AI4CE 11 9 0 23 Jul 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 119 251 0 11 Jul 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 31 99 0 08 Jul 2022
Multi-scale Physical Representations for Approximating PDE Solutions with Graph Neural Operators Léon Migus Yuan Yin Jocelyn Ahmed Mazari Patrick Gallinari AI4CE 12 4 0 29 Jun 2022
Neural Integro-Differential Equations E. Zappala Antonio H. O. Fonseca A. Moberly M. Higley C. Abdallah Jessica A. Cardin David van Dijk 16 14 0 28 Jun 2022
Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning Thomas O'Leary-Roseberry Peng Chen Umberto Villa Omar Ghattas AI4CE 32 39 0 21 Jun 2022
Meta Optimal Transport Brandon Amos Samuel N. Cohen Giulia Luise I. Redko OT 29 22 0 10 Jun 2022
Discretization Invariant Networks for Learning Maps between Neural Fields Clinton Jia Wang Polina Golland 30 0 0 02 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 42 140 0 26 May 2022
Variable-Input Deep Operator Networks Michael Prasthofer Tim De Ryck Siddhartha Mishra 45 23 0 23 May 2022
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 59 59 0 23 May 2022
Nonparametric learning of kernels in nonlocal operators Fei Lu Qi An Yue Yu 37 18 0 23 May 2022
Generative Adversarial Neural Operators Md Ashiqur Rahman Manuel A. Florez Anima Anandkumar Zachary E. Ross Kamyar Azizzadenesheli GAN 20 34 0 06 May 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming J. Schmitt Harald Kostler AI4CE 19 0 0 27 Apr 2022
Learning Green's functions associated with time-dependent partial differential equations N. Boullé Seick Kim Tianyi Shi Alex Townsend AI4CE 21 25 0 27 Apr 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 18 37 0 27 Apr 2022
U-NO: U-shaped Neural Operators Md Ashiqur Rahman Zachary E. Ross Kamyar Azizzadenesheli AI4CE 32 132 0 23 Apr 2022
Physical Modeling using Recurrent Neural Networks with Fast Convolutional Layers Julian Parker Sebastian J. Schlecht R. Rabenstein Maximilian Schäfer AI4CE 27 11 0 21 Apr 2022
Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs Peiyan Hu Qi Meng Bin Chen Shiqi Gong Yue Wang Wei Chen Rongchan Zhu Zhirui Ma Tie-Yan Liu AI4CE 24 11 0 13 Apr 2022
Discovering and forecasting extreme events via active learning in neural operators Ethan Pickering Stephen Guth George Karniadakis T. Sapsis AI4CE 19 57 0 05 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 26 37 0 03 Apr 2022