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Uniform error estimates for artificial neural network approximations for heat equations
20 November 2019
Lukas Gonon
Philipp Grohs
Arnulf Jentzen
David Kofler
David Siska
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Papers citing
"Uniform error estimates for artificial neural network approximations for heat equations"
9 / 9 papers shown
Title
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains
Ariel Neufeld
Philipp Schmocker
21
2
0
18 Oct 2024
Astral: training physics-informed neural networks with error majorants
V. Fanaskov
Tianchi Yu
Alexander Rudikov
Ivan V. Oseledets
33
1
0
04 Jun 2024
Deep neural network expressivity for optimal stopping problems
Lukas Gonon
11
6
0
19 Oct 2022
Random feature neural networks learn Black-Scholes type PDEs without curse of dimensionality
Lukas Gonon
18
35
0
14 Jun 2021
Quantitative approximation results for complex-valued neural networks
A. Caragea
D. Lee
J. Maly
G. Pfander
F. Voigtlaender
13
5
0
25 Feb 2021
An overview on deep learning-based approximation methods for partial differential equations
C. Beck
Martin Hutzenthaler
Arnulf Jentzen
Benno Kuckuck
30
146
0
22 Dec 2020
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
Philipp Grohs
L. Herrmann
24
52
0
10 Jul 2020
Space-time deep neural network approximations for high-dimensional partial differential equations
F. Hornung
Arnulf Jentzen
Diyora Salimova
AI4CE
21
19
0
03 Jun 2020
Unbiased deep solvers for linear parametric PDEs
Marc Sabate Vidales
David Siska
Lukasz Szpruch
OOD
24
7
0
11 Oct 2018
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