Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms

8 November 2023

Papers citing "Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms"

6 / 6 papers shown

Title
On the expressiveness and spectral bias of KANs Yixuan Wang Jonathan W. Siegel Ziming Liu Thomas Y. Hou 37 9 0 02 Oct 2024
Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss Yahong Yang Juncai He AI4CE 29 7 0 31 Jan 2024
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems Jianfeng Lu Yulong Lu 31 29 0 04 May 2021
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth Zuowei Shen Haizhao Yang Shijun Zhang 101 115 0 28 Feb 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 127 142 0 26 Jul 2016
Benefits of depth in neural networks Matus Telgarsky 136 602 0 14 Feb 2016