On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem

10 August 2023

Papers citing "On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem"

10 / 10 papers shown

Title
KAC: Kolmogorov-Arnold Classifier for Continual Learning Yusong Hu Zichen Liang Fei Yang Qibin Hou Xialei Liu Ming-Ming Cheng CLL 46 0 0 27 Mar 2025
KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics example Johannes Erdmann F. Mausolf Jan Lukas Späh 38 4 0 05 Aug 2024
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks K. Shukla Juan Diego Toscano Zhicheng Wang Zongren Zou George Karniadakis 40 74 0 05 Jun 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
Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss Yahong Yang Juncai He AI4CE 32 7 0 31 Jan 2024
Expressivity and Approximation Properties of Deep Neural Networks with ReLU $^k$ Activation Juncai He Tong Mao Jinchao Xu 37 3 0 27 Dec 2023
Deep Neural Networks and Finite Elements of Any Order on Arbitrary Dimensions Juncai He Jinchao Xu 27 7 0 21 Dec 2023
Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms Yahong Yang Yulong Lu 37 3 0 08 Nov 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