Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations

20 June 2022

Papers citing "Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations"

8 / 8 papers shown

Title
Approximations with deep neural networks in Sobolev time-space Ahmed Abdeljawad Philipp Grohs 41 12 0 23 Dec 2020
Approximating smooth functions by deep neural networks with sigmoid activation function S. Langer 39 68 0 08 Oct 2020
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks Moritz Geist P. Petersen Mones Raslan R. Schneider Gitta Kutyniok 75 83 0 25 Apr 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 105 247 0 09 Jan 2020
Approximation spaces of deep neural networks Rémi Gribonval Gitta Kutyniok M. Nielsen Felix Voigtländer 78 125 0 03 May 2019
$Error bounds for approximations with deep ReLU neural networks in $W^{s,p}$ norms$ Error bounds for approximations with deep ReLU neural networks in $W^{s,p}$ norms Ingo Gühring Gitta Kutyniok P. Petersen 81 199 0 21 Feb 2019
Nonparametric regression using deep neural networks with ReLU activation function Johannes Schmidt-Hieber 225 810 0 22 Aug 2017
Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations Boris Hanin 59 355 0 09 Aug 2017