Neural Control of Parametric Solutions for High-dimensional Evolution PDEs

31 January 2023

Papers citing "Neural Control of Parametric Solutions for High-dimensional Evolution PDEs"

7 / 7 papers shown

Title
A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations Shu Liu Stanley Osher Wuchen Li 30 0 0 09 Nov 2024
Systematic construction of continuous-time neural networks for linear dynamical systems Chinmay Datar Adwait Datar Felix Dietrich W. Schilders AI4TS 41 1 0 24 Mar 2024
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran PINN AI4CE 27 76 0 25 Feb 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 235 2,298 0 18 Oct 2020
Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains Ziqi Liu Wei Cai Zhi-Qin John Xu AI4CE 232 122 0 22 Jul 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 128 508 0 11 Mar 2020
Deep Learning with Domain Adaptation for Accelerated Projection-Reconstruction MR Yoseob Han J. Yoo J. C. Ye MedIm OOD 106 231 0 03 Mar 2017