Multigrid-augmented deep learning preconditioners for the Helmholtz equation

14 March 2022

Papers citing "Multigrid-augmented deep learning preconditioners for the Helmholtz equation"

14 / 14 papers shown

Title
Deep Learning-Enhanced Preconditioning for Efficient Conjugate Gradient Solvers in Large-Scale PDE Systems Rui-Qi Li Song Wang Chen Wang AI4CE 76 0 0 10 Dec 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 34 43 0 09 Jul 2024
Physics-guided Full Waveform Inversion using Encoder-Solver Convolutional Neural Networks Matan Goren Eran Treister 35 0 0 27 May 2024
Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan V. Oseledets Ekaterina A. Muravleva Ekaterina Muravleva 39 2 0 24 May 2024
Generative modeling of Sparse Approximate Inverse Preconditioners Mou Li He-Nan Wang P. Jimack 22 1 0 17 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 43 0 0 17 Apr 2024
Improving Pseudo-Time Stepping Convergence for CFD Simulations With Neural Networks Anouk Zandbergen T. Noorden Alexander Heinlein 29 1 0 10 Oct 2023
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions Kai Weixian Lan E. Gueidon Ayano Kaneda Julian Panetta Joseph Teran AI4CE 16 1 0 29 Sep 2023
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layers Bar Lerer Ido Ben-Yair Eran Treister AI4CE 21 3 0 30 Jun 2023
Neural incomplete factorization: learning preconditioners for the conjugate gradient method Paul Hausner Ozan Oktem Jens Sjölund 51 7 0 25 May 2023
j-Wave: An open-source differentiable wave simulator A. Stanziola Simon Arridge B. Cox B. Treeby VLM 38 21 0 30 Jun 2022
Principled Acceleration of Iterative Numerical Methods Using Machine Learning S. Arisaka Qianxiao Li 16 5 0 17 Jun 2022
MGIC: Multigrid-in-Channels Neural Network Architectures Moshe Eliasof Jonathan Ephrath Lars Ruthotto Eran Treister 39 7 0 17 Nov 2020
Deep neural network solution of the electronic Schrödinger equation J. Hermann Zeno Schätzle Frank Noé 149 446 0 16 Sep 2019