Multipole Graph Neural Operator for Parametric Partial Differential Equations

16 June 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Multipole Graph Neural Operator for Parametric Partial Differential Equations"

50 / 225 papers shown

Title
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis Gianluca Fabiani H. Vandecasteele S. Goswami Constantinos Siettos Ioannis G. Kevrekidis 118 0 0 05 May 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study Prajwal Chauhan Salah Eddine Choutri Mohamed Ghattassi Nader Masmoudi Saif Eddin Jabari 39 0 0 25 Apr 2025
PODNO: Proper Orthogonal Decomposition Neural Operators Zilan Cheng Zhongjian Wang Li-Lian Wang Mejdi Azaiez 34 0 0 25 Apr 2025
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs Minsu Koh Beom-Chul Park Heejo Kong Seong-Whan Lee AI4CE 37 0 0 18 Apr 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 20 0 0 14 Apr 2025
Learning Dual-Arm Coordination for Grasping Large Flat Objects Yongliang Wang H. Kasaei 32 0 0 04 Apr 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Y. Zhou Amir Barati Farimani DiffM AI4CE 72 0 0 28 Mar 2025
HyperNOs: Automated and Parallel Library for Neural Operators Research Massimiliano Ghiotto 46 0 0 23 Mar 2025
Fourier Neural Operator based surrogates for $CO_2$ storage in realistic geologies Anirban Chandra Marius Koch Suraj Pawar Aniruddha Panda Kamyar Azizzadenesheli ... Farah Hariri Clement Etienam Pandu Devarakota Anima Anandkumar Detlef Hohl AI4CE 53 3 0 14 Mar 2025
HessianForge: Scalable LiDAR reconstruction with Physics-Informed Neural Representation and Smoothness Energy Constraints Hrishikesh Viswanath Md Ashiqur Rahman Chi Lin Damon Conover Aniket Bera 68 0 0 11 Mar 2025
Data-Driven Probabilistic Air-Sea Flux Parameterization Jiarong Wu Pavel Perezhogin D. Gagne Brandon Reichl Aneesh C. Subramanian Elizabeth Thompson Laure Zanna 39 0 0 06 Mar 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 105 5 0 20 Feb 2025
DoMINO: A Decomposable Multi-scale Iterative Neural Operator for Modeling Large Scale Engineering Simulations Rishikesh Ranade M. A. Nabian Kaustubh Tangsali Alexey Kamenev O. Hennigh Ram Cherukuri S. Choudhry AI4CE 86 2 0 23 Jan 2025
Orthogonal greedy algorithm for linear operator learning with shallow neural network Ye Lin Jiwei Jia Young Ju Lee Ran Zhang 34 1 0 06 Jan 2025
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model Yuqiu Liu Jingxuan Xu Mauricio Soroco Yunchao Wei Wuyang Chen AI4CE 84 2 0 18 Dec 2024
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
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 64 0 0 28 Nov 2024
On the Boundary Feasibility for PDE Control with Neural Operators Hanjiang Hu Changliu Liu AI4CE 72 1 0 23 Nov 2024
LE-PDE++: Mamba for accelerating PDEs Simulations Aoming Liang Zhaoyang Mu Qi liu Ruipeng Li Mingming Ge Dixia Fan AI4CE 32 0 0 04 Nov 2024
SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers Parsa Esmati Amirhossein Dadashzadeh Vahid Goodarzi Nicolas Larrosa Nicolo Grilli 27 0 0 20 Oct 2024
Exploring the design space of deep-learning-based weather forecasting systems Shoaib Ahmed Siddiqui Jean Kossaifi Boris Bonev Christopher Choy Jan Kautz David M. Krueger Kamyar Azizzadenesheli AI4CE OOD 20 3 0 09 Oct 2024
Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains Shane E. Loeffler Zan Ahmad Syed Yusuf Ali Carolyna Yamamoto D. Popescu Alana Yee Yash Lal Natalia A. Trayanova Mauro Maggioni 36 2 0 06 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 44 0 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 40 7 0 02 Oct 2024
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 25 0 0 01 Oct 2024
Spatiotemporal Learning on Cell-embedded Graphs Yuan Mi Hao Sun 41 1 0 26 Sep 2024
Rational-WENO: A lightweight, physically-consistent three-point weighted essentially non-oscillatory scheme S. Shahane Sheide Chammas Deniz A. Bezgin Aaron B. Buhendwa Steffen J. Schmidt ... Spencer H. Bryngelson Yi-Fan Chen Qing Wang Fei Sha Leonardo Zepeda-Núnez 33 1 0 13 Sep 2024
Up-sampling-only and Adaptive Mesh-based GNN for Simulating Physical Systems Fu Lin Jiasheng Shi Shijie Luo Qinpei Zhao Weixiong Rao Lei Chen AI4CE 27 0 0 07 Sep 2024
Harnessing physics-informed operators for high-dimensional reliability analysis problems N Navaneeth Tushar Souvik Chakraborty AI4CE 32 0 0 07 Sep 2024
Liquid Fourier Latent Dynamics Networks for fast GPU-based numerical simulations in computational cardiology Matteo Salvador Alison L. Marsden AI4CE 27 1 0 19 Aug 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 45 7 0 14 Aug 2024
DeepNetBeam: A Framework for the Analysis of Functionally Graded Porous Beams M. Eshaghi M. Bamdad C. Anitescu Yizheng Wang X. Zhuang Timon Rabczuk AI4CE 29 7 0 04 Aug 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics Matthias Karlbauer Danielle C. Maddix Abdul Fatir Ansari Boran Han Gaurav Gupta Yuyang Wang Andrew Stuart Michael W. Mahoney AI4TS 54 1 0 19 Jul 2024
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs Hrishikesh Viswanath Yue Chang Julius Berner Peter Yichen Chen Aniket Bera AI4CE 58 2 0 04 Jul 2024
Green Multigrid Network Ye Lin Young Ju Lee Jiwei Jia 21 1 0 04 Jul 2024
Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning Matthew Lowery John Turnage Zachary Morrow J. Jakeman Akil Narayan Shandian Zhe Varun Shankar 41 1 0 30 Jun 2024
Advection Augmented Convolutional Neural Networks N. Zakariaei Siddharth Rout Eldad Haber Moshe Eliasof AI4TS 18 2 0 27 Jun 2024
Graph Neural Reaction Diffusion Models Moshe Eliasof Eldad Haber Eran Treister DiffM AI4CE 35 2 0 16 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 34 1 0 14 Jun 2024
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators Gianluca Fabiani Ioannis G. Kevrekidis Constantinos Siettos A. Yannacopoulos 22 11 0 08 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes Emilia Magnani Marvin Pfortner Tobias Weber Philipp Hennig UQCV 63 1 0 07 Jun 2024
M2NO: Multiresolution Operator Learning with Multiwavelet-based Algebraic Multigrid Method Zhihao Li Zhilu Lai Xiaobo Wang Wei Wang 21 3 0 07 Jun 2024
Neural Green's Operators for Parametric Partial Differential Equations Hugo Melchers Joost Prins Michael Abdelmalik 50 3 0 04 Jun 2024
Ensemble Deep Random Vector Functional Link Neural Network Based on Fuzzy Inference System M. Sajid M. Tanveer Ponnuthurai Nagaratnam Suganthan 29 5 0 02 Jun 2024
Ensemble and Mixture-of-Experts DeepONets For Operator Learning Ramansh Sharma Varun Shankar 48 0 0 20 May 2024
Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning Junfeng Chen Kailiang Wu 27 3 0 15 May 2024
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 43 8 0 13 May 2024
GrINd: Grid Interpolation Network for Scattered Observations Andrzej Dulny Paul Heinisch Andreas Hotho Anna Krause 35 1 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 37 6 0 28 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 28 5 0 27 Mar 2024