Learning Neural PDE Solvers with Convergence Guarantees

4 June 2019

Papers citing "Learning Neural PDE Solvers with Convergence Guarantees"

28 / 78 papers shown

Title
Performance and accuracy assessments of an incompressible fluid solver coupled with a deep Convolutional Neural Network Ekhi Ajuria Illarramendi M. Bauerheim B. Cuenot 89 21 0 20 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
Cell-average based neural network method for hyperbolic and parabolic partial differential equations Changxin Qiu Jue Yan 56 10 0 02 Jul 2021
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning Ali Taghibakhshi S. MacLachlan Luke N. Olson Matthew West AI4CE 53 31 0 03 Jun 2021
Convergent Graph Solvers Junyoung Park J. Choo Jinkyoo Park 67 13 0 03 Jun 2021
Neural network architectures using min-plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs Jérome Darbon P. Dower Tingwei Meng 46 22 0 07 May 2021
Reinforcement Learning for Adaptive Mesh Refinement Jiachen Yang T. Dzanic Brenden K. Petersen Junpei Kudo K. Mittal ... T. Zhao H. Zha T. Kolev Robert W. Anderson Daniel Faissol AI4CE 54 47 0 01 Mar 2021
Learning optimal multigrid smoothers via neural networks Ru Huang Ruipeng Li Yuanzhe Xi AI4CE 67 30 0 24 Feb 2021
SEMULATOR: Emulating the Dynamics of Crossbar Array-based Analog Neural System with Regression Neural Networks Chaeun Lee Seyoung Kim 43 0 0 19 Jan 2021
Frequency-compensated PINNs for Fluid-dynamic Design Problems Tongtao Zhang Biswadip Dey P. Kakkar A. Dasgupta Amit Chakraborty PINN AI4CE 52 9 0 03 Nov 2020
Measure Anatomical Thickness from Cardiac MRI with Deep Neural Networks Qiaoying Huang Eric Z. Chen Hanchao Yu Yimo Guo Terrence Chen Dimitris N. Metaxas Shanhui Sun 54 1 0 25 Aug 2020
Deep Generative Models that Solve PDEs: Distributed Computing for Training Large Data-Free Models Sergio Botelho Ameya Joshi Biswajit Khara Soumik Sarkar Chinmay Hegde Santi S. Adavani Baskar Ganapathysubramanian AI4CE 52 6 0 24 Jul 2020
Belief Propagation Neural Networks Jonathan Kuck Shuvam Chakraborty Hao Tang Rachel Luo Jiaming Song Ashish Sabharwal Stefano Ermon 108 40 0 01 Jul 2020
Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers Kiwon Um R. Brand Yun Fei Fei Philipp Holl N. Thürey AI4CE 76 273 0 30 Jun 2020
Fourier Neural Networks as Function Approximators and Differential Equation Solvers M. Ngom O. Marin 49 2 0 27 May 2020
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization Rishikesh Ranade C. Hill Jay Pathak AI4CE 147 127 0 17 May 2020
Model Reduction and Neural Networks for Parametric PDEs K. Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart 248 334 0 07 May 2020
Learning To Solve Differential Equations Across Initial Conditions Shehryar Malik Usman Anwar Ali Ahmed Alireza Aghasi AI4CE 47 8 0 26 Mar 2020
Learning Algebraic Multigrid Using Graph Neural Networks Ilay Luz Meirav Galun Haggai Maron Ronen Basri I. Yavneh 64 71 0 12 Mar 2020
FiniteNet: A Fully Convolutional LSTM Network Architecture for Time-Dependent Partial Differential Equations Ben Stevens T. Colonius AI4TS AI4CE 50 30 0 07 Feb 2020
Enhancement of shock-capturing methods via machine learning Ben Stevens T. Colonius 41 47 0 06 Feb 2020
FEA-Net: A Physics-guided Data-driven Model for Efficient Mechanical Response Prediction Houpu Yao Yi Gao Yongming Liu AI4CE 111 67 0 31 Jan 2020
Learning to Control PDEs with Differentiable Physics Philipp Holl V. Koltun Nils Thuerey AI4CE PINN 85 189 0 21 Jan 2020
Constrained Linear Data-feature Mapping for Image Classification Juncai He Yuyan Chen Lian Zhang Jinchao Xu 61 2 0 23 Nov 2019
Implicit Neural Solver for Time-dependent Linear PDEs with Convergence Guarantee Suprosanna Shit Abinav Ravi Venkatakrishnan Ivan Ezhov Jana Lipkova Marie Piraud Bjoern Menze AI4CE 18 2 0 08 Oct 2019
Variational training of neural network approximations of solution maps for physical models Yingzhou Li Jianfeng Lu Anqi Mao GAN 81 36 0 07 May 2019
Learning to Optimize Multigrid PDE Solvers D. Greenfeld Meirav Galun Ron Kimmel I. Yavneh Ronen Basri AI4CE 99 119 0 25 Feb 2019
MgNet: A Unified Framework of Multigrid and Convolutional Neural Network Juncai He Jinchao Xu 54 55 0 29 Jan 2019