Uniform error estimates for artificial neural network approximations for heat equations

20 November 2019

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