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2104.08938
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On the approximation of functions by tanh neural networks
18 April 2021
Tim De Ryck
S. Lanthaler
Siddhartha Mishra
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Papers citing
"On the approximation of functions by tanh neural networks"
23 / 23 papers shown
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Golden Ratio-Based Sufficient Dimension Reduction
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Convergence of the Deep Galerkin Method for Mean Field Control Problems
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Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
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Marc T. Law
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Approximation of Solution Operators for High-dimensional PDEs
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Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives
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15 May 2023
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time
Y. Qian
Yongchao Zhang
Yuanfei Huang
S. Dong
PINN
21
1
0
22 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance
Panos Pantidis
Habiba Eldababy
Christopher Miguel Tagle
M. Mobasher
35
20
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03 Mar 2023
Instance-Dependent Generalization Bounds via Optimal Transport
Songyan Hou
Parnian Kassraie
Anastasis Kratsios
Andreas Krause
Jonas Rothfuss
22
6
0
02 Nov 2022
The Mori-Zwanzig formulation of deep learning
D. Venturi
Xiantao Li
25
1
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12 Sep 2022
Shallow neural network representation of polynomials
A. Beknazaryan
22
0
0
17 Aug 2022
Error analysis for deep neural network approximations of parametric hyperbolic conservation laws
Tim De Ryck
Siddhartha Mishra
PINN
15
10
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15 Jul 2022
Expressive power of binary and ternary neural networks
A. Beknazaryan
MQ
19
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27 Jun 2022
Residual-Concatenate Neural Network with Deep Regularization Layers for Binary Classification
Abhishek Gupta
Sruthi Nair
Raunak Joshi
V. Chitre
23
5
0
25 May 2022
Variable-Input Deep Operator Networks
Michael Prasthofer
Tim De Ryck
Siddhartha Mishra
45
23
0
23 May 2022
Error estimates for physics informed neural networks approximating the Navier-Stokes equations
Tim De Ryck
Ameya Dilip Jagtap
S. Mishra
PINN
49
115
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17 Mar 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next
S. Cuomo
Vincenzo Schiano Di Cola
F. Giampaolo
G. Rozza
Maizar Raissi
F. Piccialli
PINN
26
1,180
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14 Jan 2022
Variational Physics Informed Neural Networks: the role of quadratures and test functions
S. Berrone
C. Canuto
Moreno Pintore
25
40
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05 Sep 2021
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks
Yihang Gao
Michael K. Ng
38
28
0
30 Aug 2021
Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs
Tim De Ryck
Siddhartha Mishra
PINN
21
100
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28 Jun 2021
Symplectic Learning for Hamiltonian Neural Networks
M. David
Florian Méhats
24
35
0
22 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
238
2,298
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18 Oct 2020
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