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DeepONet: Learning nonlinear operators for identifying differential
  equations based on the universal approximation theorem of operators

DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

8 October 2019
Lu Lu
Pengzhan Jin
George Karniadakis
ArXivPDFHTML

Papers citing "DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators"

7 / 207 papers shown
Title
Metric Entropy Limits on Recurrent Neural Network Learning of Linear
  Dynamical Systems
Metric Entropy Limits on Recurrent Neural Network Learning of Linear Dynamical Systems
Clemens Hutter
R. Gül
Helmut Bölcskei
11
9
0
06 May 2021
Two-layer neural networks with values in a Banach space
Two-layer neural networks with values in a Banach space
Yury Korolev
13
23
0
05 May 2021
A Deep Learning approach to Reduced Order Modelling of Parameter
  Dependent Partial Differential Equations
A Deep Learning approach to Reduced Order Modelling of Parameter Dependent Partial Differential Equations
N. R. Franco
Andrea Manzoni
P. Zunino
16
44
0
10 Mar 2021
Modern Koopman Theory for Dynamical Systems
Modern Koopman Theory for Dynamical Systems
Steven L. Brunton
M. Budišić
E. Kaiser
J. Nathan Kutz
AI4CE
11
387
0
24 Feb 2021
SympNets: Intrinsic structure-preserving symplectic networks for
  identifying Hamiltonian systems
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
Pengzhan Jin
Zhen Zhang
Aiqing Zhu
Yifa Tang
George Karniadakis
9
21
0
11 Jan 2020
Symplectic Recurrent Neural Networks
Symplectic Recurrent Neural Networks
Zhengdao Chen
Jianyu Zhang
Martín Arjovsky
Léon Bottou
139
219
0
29 Sep 2019
A Multi-level procedure for enhancing accuracy of machine learning
  algorithms
A Multi-level procedure for enhancing accuracy of machine learning algorithms
K. Lye
Siddhartha Mishra
Roberto Molinaro
11
31
0
20 Sep 2019
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