Nov 20, 2019 · Abstract page for arXiv paper 1911.09647: Uniform error estimates for artificial neural network approximations for heat equations.
Aug 10, 2021 · This verifies that ANNs can overcome the curse of dimensionality in the numerical approximation of the heat equation when the error is measured ...
The main result of this article shows that ANNs can overcome the curse of dimensionality in the numerical approximation of the heat equation when the error ...
The key contribution of the main result of this article is to develop the techniques to obtain error estimates between solutions of PDEs and approximating ANNs ...
This verifies that ANNs can overcome the curse of dimensionality in the numerical approximation of the heat equation when the error is measured in the uniform L ...
Aug 10, 2021 · Recently, ANNs in conjunction with stochastic gradient descent optimization methods have also been employed to approximately compute solutions ...
Dive into the research topics of 'Uniform error estimates for artificial neural network approximations for heat equations'. Together they form a unique ...
Sep 8, 2024 · ... Uniform error estimates for artificial neural network approximations for heat equations. In: IMA Journal of Numerical Analysis, Bd. 42, Nr ...
Uniform error estimates for artificial neural network approximations for heat equations · no code implementations • 20 Nov 2019 • Lukas Gonon, Philipp Grohs ...
Uniform error estimates for artificial neural network approximations for heat equations. IMA J. Numer. Anal., 42(3):1991–2054, July 2022. doi:10.1093/imanum ...