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 $1d$"

8 / 58 papers shown

Title
Optimal approximation of piecewise smooth functions using deep ReLU neural networks P. Petersen Felix Voigtländer 223 475 0 15 Sep 2017
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review T. Poggio H. Mhaskar Lorenzo Rosasco Brando Miranda Q. Liao 143 576 0 02 Nov 2016
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 198 1,233 0 03 Oct 2016
$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 264 143 0 26 Jul 2016
Provable approximation properties for deep neural networks Uri Shaham A. Cloninger Ronald R. Coifman 181 231 0 24 Sep 2015
An Introduction to Matrix Concentration Inequalities J. Tropp 178 1,155 0 07 Jan 2015
Breaking the Curse of Dimensionality with Convex Neural Networks Francis R. Bach 184 706 0 30 Dec 2014
On Some Extensions of Bernstein's Inequality for Self-adjoint Operators Stanislav Minsker 229 152 0 22 Dec 2011