Approximation results for Gradient Descent trained Shallow Neural Networks in $1d$

17 September 2022

Papers citing "Approximation results for Gradient Descent trained Shallow Neural Networks in $1d$"

7 / 7 papers shown

Title
Approximation and Gradient Descent Training with Neural Networks G. Welper 30 1 0 19 May 2024
Non-convergence to global minimizers for Adam and stochastic gradient descent optimization and constructions of local minimizers in the training of artificial neural networks Arnulf Jentzen Adrian Riekert 28 4 0 07 Feb 2024
Approximation Results for Gradient Descent trained Neural Networks G. Welper 39 0 0 09 Sep 2023
On the existence of minimizers in shallow residual ReLU neural network optimization landscapes Steffen Dereich Arnulf Jentzen Sebastian Kassing 13 6 0 28 Feb 2023
Neural Tangent Kernel Beyond the Infinite-Width Limit: Effects of Depth and Initialization Mariia Seleznova Gitta Kutyniok 179 16 0 01 Feb 2022
Universal scaling laws in the gradient descent training of neural networks Maksim Velikanov Dmitry Yarotsky 30 9 0 02 May 2021
$Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $ \ell^1 $ and $ \ell^0 $ Controls$ Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $\ell^1$ and $\ell^0$ Controls Jason M. Klusowski Andrew R. Barron 122 142 0 26 Jul 2016