Neural Operator: Graph Kernel Network for Partial Differential Equations

7 March 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Neural Operator: Graph Kernel Network for Partial Differential Equations"

50 / 160 papers shown

Title
LagrangeBench: A Lagrangian Fluid Mechanics Benchmarking Suite Stefania Costantini Gianluca Galletti Fabian Fritz Stefan Adami Nikolaus A. Adams 45 13 0 28 Sep 2023
A Spectral Approach for Learning Spatiotemporal Neural Differential Equations Mingtao Xia Xiangting Li Qijing Shen Tom Chou 19 0 0 28 Sep 2023
A Fourier Neural Operator Approach for Modelling Exciton-Polariton Condensate Systems Yuan Wang Yuan Wang Krzysztof Sawicki Kanishk Gandhi Angelica I Aviles-Rivero Pavlos G. Lagoudakis 32 0 0 27 Sep 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 36 135 0 01 Sep 2023
Scattering with Neural Operators Sebastian Mizera AI4CE 40 9 0 28 Aug 2023
Frameless Graph Knowledge Distillation Dai Shi Zhiqi Shao Yi Guo Junbin Gao 39 4 0 13 Jul 2023
Capturing Local Temperature Evolution during Additive Manufacturing through Fourier Neural Operators Jiangce Chen Wenzhuo Xu Martha Baldwin Björn Nijhuis T. Boogaard Noelia Grande Gutiérrez S. Narra Christopher McComb AI4CE 28 2 0 04 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 24 2 0 01 Jul 2023
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations Yaohua Zang Gang Bao 37 4 0 21 May 2023
Pseudo-Hamiltonian neural networks for learning partial differential equations Sølve Eidnes K. Lye 31 10 0 27 Apr 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning S. Lanthaler Zong-Yi Li Andrew M. Stuart 28 17 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 31 0 0 25 Apr 2023
$Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion$ Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion Xiongbin Yan Zhi-Qin John Xu Zheng Ma 32 2 0 03 Apr 2023
Geometric constraints improve inference of sparsely observed stochastic dynamics Dimitra Maoutsa AI4CE 30 3 0 02 Apr 2023
Multilevel CNNs for Parametric PDEs Cosmas Heiß Ingo Gühring Martin Eigel AI4CE 32 8 0 01 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 39 15 0 31 Mar 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 50 20 0 30 Mar 2023
The transformative potential of machine learning for experiments in fluid mechanics Ricardo Vinuesa Steven L. Brunton B. McKeon AI4CE 45 68 0 28 Mar 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 30 15 0 28 Mar 2023
Neural Operators of Backstepping Controller and Observer Gain Functions for Reaction-Diffusion PDEs Miroslav Krstic Luke Bhan Yuanyuan Shi 56 28 0 18 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 76 9 0 04 Mar 2023
Elliptic PDE learning is provably data-efficient N. Boullé Diana Halikias Alex Townsend 30 18 0 24 Feb 2023
Variational Autoencoding Neural Operators Jacob H. Seidman Georgios Kissas George J. Pappas P. Perdikaris DRL AI4CE 32 7 0 20 Feb 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 79 39 0 14 Feb 2023
Physics informed WNO N. N. Tapas Tripura S. Chakraborty 33 28 0 12 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 56 4 0 10 Feb 2023
Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations Arnulf Jentzen Adrian Riekert Philippe von Wurstemberger 34 1 0 07 Feb 2023
An Implicit GNN Solver for Poisson-like problems Matthieu Nastorg M. Bucci T. Faney J. Gratien Guillaume Charpiat Marc Schoenauer AI4CE 39 2 0 06 Feb 2023
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations Jianqing Zhu Juncai He Qiumei Huang 40 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 27 3 0 02 Feb 2023
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils K. Shukla Vivek Oommen Ahmad Peyvan Michael Penwarden L. Bravo A. Ghoshal Robert M. Kirby George Karniadakis 33 19 0 02 Feb 2023
Graph Neural Operators for Classification of Spatial Transcriptomics Data Junaid Ahmed Alhassan S. Yasin MedIm AI4CE 17 1 0 01 Feb 2023
Continuous Spatiotemporal Transformers Antonio H. O. Fonseca E. Zappala J. O. Caro David van Dijk 26 7 0 31 Jan 2023
Deep Operator Learning Lessens the Curse of Dimensionality for PDEs Ke Chen Chunmei Wang Haizhao Yang AI4CE 26 13 0 28 Jan 2023
Sample-efficient Surrogate Model for Frequency Response of Linear PDEs using Self-Attentive Complex Polynomials A. Cohen W. Dou Jiang Zhu S. Koziel Péter Renner J. Mattsson Xiaomeng Yang Beidi Chen Kevin R. Stone Yuandong Tian 26 0 0 06 Jan 2023
KoopmanLab: machine learning for solving complex physics equations Wei Xiong Muyuan Ma Xiaomeng Huang Ziyang Zhang Pei Sun Yang Tian AI4CE 28 13 0 03 Jan 2023
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 48 20 0 14 Dec 2022
Reliable extrapolation of deep neural operators informed by physics or sparse observations Min Zhu Handi Zhang Anran Jiao George Karniadakis Lu Lu 52 91 0 13 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 60 28 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 23 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 29 11 0 29 Nov 2022
Emerging trends in machine learning for computational fluid dynamics Ricardo Vinuesa Steve Brunton AI4CE 32 14 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 32 8 0 25 Nov 2022
Fast Sampling of Diffusion Models via Operator Learning Hongkai Zheng Weili Nie Arash Vahdat Kamyar Azizzadenesheli Anima Anandkumar DiffM 65 134 0 24 Nov 2022
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems Xiongbin Yan Z. Xu Zheng Ma 14 2 0 22 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 37 49 0 14 Nov 2022
Comparison of two artificial neural networks trained for the surrogate modeling of stress in materially heterogeneous elastoplastic solids S. Kapoor J. Mianroodi M. S. Khorrami Nima S. Siboni Bob Svendsen 39 4 0 31 Oct 2022
Neuro-symbolic partial differential equation solver Pouria A. Mistani Samira Pakravan Rajesh Ilango S. Choudhry Frédéric Gibou 36 1 0 25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities Pouria A. Mistani Samira Pakravan Rajesh Ilango Frédéric Gibou 21 8 0 25 Oct 2022