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Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs

Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs

8 May 2024
Ariel Neufeld
Philipp Schmocker
Sizhou Wu
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Papers citing "Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs"

4 / 4 papers shown
Title
RandNet-Parareal: a time-parallel PDE solver using Random Neural
  Networks
RandNet-Parareal: a time-parallel PDE solver using Random Neural Networks
Guglielmo Gattiglio
Lyudmila Grigoryeva
M. Tamborrino
34
1
0
09 Nov 2024
Multilevel Picard approximations and deep neural networks with ReLU, leaky ReLU, and softplus activation overcome the curse of dimensionality when approximating semilinear parabolic partial differential equations in $L^p$-sense
Multilevel Picard approximations and deep neural networks with ReLU, leaky ReLU, and softplus activation overcome the curse of dimensionality when approximating semilinear parabolic partial differential equations in LpL^pLp-sense
Ariel Neufeld
Tuan Anh Nguyen
32
0
0
30 Sep 2024
A deep learning approach to the probabilistic numerical solution of
  path-dependent partial differential equations
A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations
Jiang Yu Nguwi
Nicolas Privault
33
5
0
28 Sep 2022
Deep Neural Network Algorithms for Parabolic PIDEs and Applications in
  Insurance Mathematics
Deep Neural Network Algorithms for Parabolic PIDEs and Applications in Insurance Mathematics
R. Frey
Verena Köck
28
16
0
23 Sep 2021
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