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Learning to Optimize Multigrid PDE Solvers

25 February 2019

Papers citing "Learning to Optimize Multigrid PDE Solvers"

50 / 60 papers shown

Title
Geometric and Physical Constraints Synergistically Enhance Neural PDE Surrogates Yunfei Huang David S. Greenberg AI4CE 33 0 0 05 Jun 2025
GeoMaNO: Geometric Mamba Neural Operator for Partial Differential Equations Xi Han Jingwei Zhang Dimitris Samaras Fei Hou Hong Qin AI4CE 99 0 0 17 May 2025
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 131 0 0 28 Nov 2024
Component Fourier Neural Operator for Singularly Perturbed Differential Equations Ye Li Ting Du Yiwen Pang Zhongyi Huang 91 1 0 07 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 75 0 0 07 Sep 2024
UGrid: An Efficient-And-Rigorous Neural Multigrid Solver for Linear PDEs Xi Han Fei Hou Hong Qin AI4CE 70 2 0 09 Aug 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 113 56 0 09 Jul 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 101 0 0 27 May 2024
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains Shuo Ling Liwei Tan Wenjun Ying 49 0 0 23 Apr 2024
Improve Generalization Ability of Deep Wide Residual Network with A Suitable Scaling Factor Songtao Tian Zixiong Yu 50 1 0 07 Mar 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
Neural Multigrid Architectures V. Fanaskov 37 3 0 08 Feb 2024
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling Hong Wang Zhongkai Hao Jie Wang Zijie Geng Zhen Wang Bin Li Fengli Wu 53 3 0 17 Jan 2024
HyperLoRA for PDEs Ritam Majumdar Vishal Sudam Jadhav A. Deodhar Shirish S. Karande Lovekesh Vig Venkataramana Runkana PINN AI4CE 31 1 0 18 Aug 2023
PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers Phillip Lippe Bastiaan S. Veeling P. Perdikaris Richard Turner Johannes Brandstetter DiffM AI4CE 129 96 0 10 Aug 2023
Investigating Low Data, Confidence Aware Image Prediction on Smooth Repetitive Videos using Gaussian Processes Nikhil Shinde Xiao Liang Florian Richter Michael C. Yip 55 1 0 20 Jul 2023
Reducing operator complexity in Algebraic Multigrid with Machine Learning Approaches Rung-Tzung Huang Kai Chang Huan He Ruipeng Li Yuanzhe Xi 466 2 0 15 Jul 2023
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layers Bar Lerer Ido Ben-Yair Eran Treister AI4CE 62 3 0 30 Jun 2023
Stochastic Unrolled Federated Learning Samar Hadou Navid Naderializadeh Alejandro Ribeiro FedML 89 5 0 24 May 2023
A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs Matteo Caldana P. Antonietti Luca Dede' 55 11 0 21 Apr 2023
Gauge-equivariant pooling layers for preconditioners in lattice QCD C. Lehner T. Wettig AI4CE 67 8 0 20 Apr 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 79 9 0 28 Mar 2023
Gauge-equivariant neural networks as preconditioners in lattice QCD C. Lehner T. Wettig AI4CE 72 10 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 74 1 0 07 Feb 2023
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods Ali Taghibakhshi Nicolas Nytko Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West AI4CE 70 11 0 26 Jan 2023
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 124 22 0 14 Dec 2022
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation Nicolas Nytko Ali Taghibakhshi Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West 55 7 0 10 Dec 2022
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential Equations Yemo Li Yiwen Pang Bin Shan AI4CE 73 5 0 08 Dec 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 112 11 0 28 Nov 2022
Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks Junwoo Cho Seungtae Nam Hyunmo Yang S. Yun Youngjoon Hong Eunbyung Park PINN AI4CE 49 8 0 16 Nov 2022
Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh Tian Qin Alex Beatson Deniz Oktay N. McGreivy Ryan P. Adams AI4CE 76 10 0 03 Nov 2022
A composable machine-learning approach for steady-state simulations on high-resolution grids Rishikesh Ranade C. Hill Lalit Ghule Jay Pathak AI4CE 80 8 0 11 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 137 136 0 30 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 125 90 0 08 Sep 2022
Learning Relaxation for Multigrid Dmitry Kuznichov AI4CE 46 1 0 25 Jul 2022
Faster Optimization on Sparse Graphs via Neural Reparametrization Nima Dehmamy C. Both J. Long Rose Yu 49 1 0 26 May 2022
A Deep Conjugate Direction Method for Iteratively Solving Linear Systems Ayano Kaneda Osman Akar Jingyu Chen Victoria Kala David Hyde Joseph Teran 81 12 0 22 May 2022
Learning Interface Conditions in Domain Decomposition Solvers Ali Taghibakhshi Nicolas Nytko Tareq Uz Zaman S. MacLachlan Luke N. Olson Matthew West AI4CE 116 13 0 19 May 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming J. Schmitt Harald Kostler AI4CE 29 1 0 27 Apr 2022
STONet: A Neural-Operator-Driven Spatio-temporal Network Haitao Lin Guojiang Zhao Lirong Wu Stan Z. Li AI4TS AI4CE 70 1 0 18 Apr 2022
Multigrid-augmented deep learning preconditioners for the Helmholtz equation Yael Azulay Eran Treister AI4CE 76 31 0 14 Mar 2022
Lie Point Symmetry Data Augmentation for Neural PDE Solvers Johannes Brandstetter Max Welling Daniel E. Worrall AI4CE 100 64 0 15 Feb 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 128 288 0 07 Feb 2022
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 127 427 0 06 Nov 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 202 220 0 28 Sep 2021
Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach C. Tomasi Rolf Krause AI4CE 44 2 0 13 Sep 2021
Semi-Implicit Neural Solver for Time-dependent Partial Differential Equations Suprosanna Shit Ivan Ezhov Leon Mächler R. Abinav Jana Lipkova Johannes C. Paetzold Florian Kofler Marie Piraud Bjoern Menze AI4CE 117 1 0 03 Sep 2021
Fourier Neural Operator Networks: A Fast and General Solver for the Photoacoustic Wave Equation Steven Guan Ko-Tsung Hsu P. Chitnis 67 28 0 20 Aug 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 170 453 0 19 Aug 2021
Connections between Numerical Algorithms for PDEs and Neural Networks Tobias Alt Karl Schrader M. Augustin Pascal Peter Joachim Weickert PINN 68 22 0 30 Jul 2021