Deep-OSG: Deep Learning of Operators in Semigroup

7 February 2023

Papers citing "Deep-OSG: Deep Learning of Operators in Semigroup"

14 / 14 papers shown

Title
Flow Map Learning for Unknown Dynamical Systems: Overview, Implementation, and Benchmarks V. Churchill D. Xiu AI4CE 52 10 0 20 Jul 2023
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 70 12 0 12 May 2022
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 99 446 0 19 Aug 2021
Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE) Yuntian Chen Yingtao Luo Qiang Liu Hao Xu Dongxiao Zhang AI4CE 55 57 0 09 Jun 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 468 2,384 0 18 Oct 2020
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm Hao Xu Haibin Chang Dongxiao Zhang AI4CE 47 89 0 21 Jan 2020
Discovery of Dynamics Using Linear Multistep Methods Rachael Keller Q. Du 45 36 0 29 Dec 2019
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 210 2,108 0 08 Oct 2019
Data-driven discovery of free-form governing differential equations Steven Atkinson W. Subber Liping Wang Genghis Khan Philippe Hawi R. Ghanem 44 43 0 27 Sep 2019
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data Yifan Sun Linan Zhang Hayden Schaeffer AI4TS 52 91 0 08 Aug 2019
Structure-preserving Method for Reconstructing Unknown Hamiltonian Systems from Trajectory Data Kailiang Wu Tong Qin D. Xiu 43 31 0 24 May 2019
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 62 272 0 13 Nov 2018
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 38 754 0 26 Oct 2017
Cyclical Learning Rates for Training Neural Networks L. Smith ODL 181 2,517 0 03 Jun 2015