Theory of Deep Convolutional Neural Networks III: Approximating Radial Functions

2 July 2021

Papers citing "Theory of Deep Convolutional Neural Networks III: Approximating Radial Functions"

19 / 19 papers shown

Title
Optimal Embedding Guided Negative Sample Generation for Knowledge Graph Link Prediction M. Takamoto Daniel Oñoro-Rubio Wiem Ben-Rim Takashi Maruyama Bhushan Kotnis 47 0 0 04 Apr 2025
Performance of computer vision algorithms for fine-grained classification using crowdsourced insect images Rita Pucci Vincent J. Kalkman Dan Stowell 23 2 0 04 Apr 2024
On the rates of convergence for learning with convolutional neural networks Yunfei Yang Han Feng Ding-Xuan Zhou 42 3 0 25 Mar 2024
Nonlinear functional regression by functional deep neural network with kernel embedding Zhongjie Shi Jun Fan Linhao Song Ding-Xuan Zhou Johan A. K. Suykens 65 5 0 05 Jan 2024
Expressivity and Approximation Properties of Deep Neural Networks with ReLU $^k$ Activation Juncai He Tong Mao Jinchao Xu 48 3 0 27 Dec 2023
Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks Guanhang Lei Zhen Lei Lei Shi Chenyu Zeng Ding-Xuan Zhou 38 4 0 18 Aug 2023
Optimal Approximation and Learning Rates for Deep Convolutional Neural Networks Shao-Bo Lin 23 1 0 07 Aug 2023
Rates of Approximation by ReLU Shallow Neural Networks Tong Mao Ding-Xuan Zhou 34 19 0 24 Jul 2023
Learning Theory of Distribution Regression with Neural Networks Zhongjie Shi Zhan Yu Ding-Xuan Zhou 13 2 0 07 Jul 2023
Nonparametric regression using over-parameterized shallow ReLU neural networks Yunfei Yang Ding-Xuan Zhou 33 6 0 14 Jun 2023
Exploring the Complexity of Deep Neural Networks through Functional Equivalence Guohao Shen 44 3 0 19 May 2023
The Hessian perspective into the Nature of Convolutional Neural Networks Sidak Pal Singh Thomas Hofmann Bernhard Schölkopf 33 11 0 16 May 2023
Learning Ability of Interpolating Deep Convolutional Neural Networks Tiancong Zhou X. Huo AI4CE 33 13 0 25 Oct 2022
Approximation analysis of CNNs from a feature extraction view Jianfei Li Han Feng Ding-Xuan Zhou 29 3 0 14 Oct 2022
Attention Enables Zero Approximation Error Zhiying Fang Yidong Ouyang Ding-Xuan Zhou Guang Cheng 21 5 0 24 Feb 2022
Optimal Convergence Rates of Deep Convolutional Neural Networks: Additive Ridge Functions Zhiying Fang Guang Cheng MLT 32 2 0 24 Feb 2022
Theory of Deep Convolutional Neural Networks II: Spherical Analysis Zhiying Fang Han Feng Shuo Huang Ding-Xuan Zhou 47 37 0 28 Jul 2020
$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 132 142 0 26 Jul 2016
Benefits of depth in neural networks Matus Telgarsky 179 604 0 14 Feb 2016