On the Universal Approximation Property of Deep Fully Convolutional Neural Networks

25 November 2022

Papers citing "On the Universal Approximation Property of Deep Fully Convolutional Neural Networks"

27 / 27 papers shown

Title
On Enhancing Expressive Power via Compositions of Single Fixed-Size ReLU Network Shijun Zhang Jianfeng Lu Hongkai Zhao CoGe 91 3 0 29 Jan 2023
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems Qianxiao Li T. Lin Zuowei Shen 58 6 0 18 Aug 2022
Eigenspace Restructuring: a Principle of Space and Frequency in Neural Networks Lechao Xiao 87 22 0 10 Dec 2021
Approximation Theory of Convolutional Architectures for Time Series Modelling Haotian Jiang Zhong Li Qianxiao Li AI4TS 64 12 0 20 Jul 2021
Locality defeats the curse of dimensionality in convolutional teacher-student scenarios Alessandro Favero Francesco Cagnetta Matthieu Wyart 69 31 0 16 Jun 2021
Approximation and Learning with Deep Convolutional Models: a Kernel Perspective A. Bietti 58 30 0 19 Feb 2021
Approximation in shift-invariant spaces with deep ReLU neural networks Yunfei Yang Zhen Li Yang Wang 56 14 0 25 May 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 105 247 0 09 Jan 2020
Deep Learning via Dynamical Systems: An Approximation Perspective Qianxiao Li Ting Lin Zuowei Shen AI4TS AI4CE 75 107 0 22 Dec 2019
Deep Network Approximation Characterized by Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 56 184 0 13 Jun 2019
Approximation and Non-parametric Estimation of ResNet-type Convolutional Neural Networks Kenta Oono Taiji Suzuki 78 58 0 24 Mar 2019
A General Theory of Equivariant CNNs on Homogeneous Spaces Taco S. Cohen Mario Geiger Maurice Weiler MLT AI4CE 212 314 0 05 Nov 2018
Equivalence of approximation by convolutional neural networks and fully-connected networks P. Petersen Felix Voigtländer 60 80 0 04 Sep 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 414 5,111 0 19 Jun 2018
Universality of Deep Convolutional Neural Networks Ding-Xuan Zhou HAI PINN 412 516 0 28 May 2018
Universal approximations of invariant maps by neural networks Dmitry Yarotsky 124 213 0 26 Apr 2018
Optimal approximation of continuous functions by very deep ReLU networks Dmitry Yarotsky 184 293 0 10 Feb 2018
Maximum Principle Based Algorithms for Deep Learning Qianxiao Li Long Chen Cheng Tai E. Weinan 101 223 0 26 Oct 2017
The Expressive Power of Neural Networks: A View from the Width Zhou Lu Hongming Pu Feicheng Wang Zhiqiang Hu Liwei Wang 99 894 0 08 Sep 2017
Stable Architectures for Deep Neural Networks E. Haber Lars Ruthotto 145 729 0 09 May 2017
Deep Sets Manzil Zaheer Satwik Kottur Siamak Ravanbakhsh Barnabás Póczós Ruslan Salakhutdinov Alex Smola 405 2,464 0 10 Mar 2017
Equivariance Through Parameter-Sharing Siamak Ravanbakhsh J. Schneider Barnabás Póczós 83 258 0 27 Feb 2017
Steerable CNNs Taco S. Cohen Max Welling BDL 140 499 0 27 Dec 2016
Geometric deep learning: going beyond Euclidean data M. Bronstein Joan Bruna Yann LeCun Arthur Szlam P. Vandergheynst GNN 808 3,287 0 24 Nov 2016
Fully Convolutional Networks for Semantic Segmentation Evan Shelhamer Jonathan Long Trevor Darrell VOS SSeg 741 37,862 0 20 May 2016
Group Equivariant Convolutional Networks Taco S. Cohen Max Welling BDL 169 1,936 0 24 Feb 2016
SegNet: A Deep Convolutional Encoder-Decoder Architecture for Image Segmentation Vijay Badrinarayanan Alex Kendall R. Cipolla SSeg 1.1K 15,802 0 02 Nov 2015