Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces

25 November 2022

Papers citing "Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces"

11 / 11 papers shown

Title
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces Yuwen Li Guozhi Zhang 43 1 0 20 Jan 2025
A convergent scheme for the Bayesian filtering problem based on the Fokker--Planck equation and deep splitting Kasper Bågmark Adam Andersson S. Larsson Filip Rydin 79 0 0 20 Jan 2025
On the expressiveness and spectral bias of KANs Yixuan Wang Jonathan W. Siegel Ziming Liu Thomas Y. Hou 37 10 0 02 Oct 2024
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks Yunfei Yang 62 2 0 02 Sep 2024
Theoretical Insights into CycleGAN: Analyzing Approximation and Estimation Errors in Unpaired Data Generation Luwei Sun Dongrui Shen Han Feng 40 2 0 16 Jul 2024
KAN: Kolmogorov-Arnold Networks Ziming Liu Yixuan Wang Sachin Vaidya Fabian Ruehle James Halverson Marin Soljacic Thomas Y. Hou Max Tegmark 83 473 0 30 Apr 2024
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks Jonathan W. Siegel 45 7 0 28 Jul 2023
Utility Theory of Synthetic Data Generation Shi Xu W. Sun Guang Cheng 25 5 0 17 May 2023
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 142 602 0 14 Feb 2016