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Approximation Properties of Deep ReLU CNNs
v1v2 (latest)

Approximation Properties of Deep ReLU CNNs

1 September 2021
Juncai He
Lin Li
Jinchao Xu
ArXiv (abs)PDFHTML

Papers citing "Approximation Properties of Deep ReLU CNNs"

11 / 11 papers shown
Title
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
Yuwen Li
Guozhi Zhang
196
1
0
20 Jan 2025
Deeper or Wider: A Perspective from Optimal Generalization Error with
  Sobolev Loss
Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss
Yahong Yang
Juncai He
AI4CE
223
7
0
31 Jan 2024
Expressivity and Approximation Properties of Deep Neural Networks with
  ReLU$^k$ Activation
Expressivity and Approximation Properties of Deep Neural Networks with ReLUk^kk Activation
Juncai He
Tong Mao
Jinchao Xu
77
4
0
27 Dec 2023
Balanced Group Convolution: An Improved Group Convolution Based on
  Approximability Estimates
Balanced Group Convolution: An Improved Group Convolution Based on Approximability Estimates
Youngkyu Lee
Jongho Park
Chang-Ock Lee
27
0
0
19 Oct 2023
MgNO: Efficient Parameterization of Linear Operators via Multigrid
MgNO: Efficient Parameterization of Linear Operators via Multigrid
Juncai He
Xinliang Liu
Jinchao Xu
91
25
0
16 Oct 2023
Theoretical Analysis of Inductive Biases in Deep Convolutional Networks
Theoretical Analysis of Inductive Biases in Deep Convolutional Networks
Zihao Wang
Lei Wu
91
22
0
15 May 2023
FV-MgNet: Fully Connected V-cycle MgNet for Interpretable Time Series
  Forecasting
FV-MgNet: Fully Connected V-cycle MgNet for Interpretable Time Series Forecasting
Jianqing Zhu
Juncai He
Lian Zhang
Jinchao Xu
82
3
0
02 Feb 2023
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical
  Partial Differential Equations
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations
Jianqing Zhu
Juncai He
Qiumei Huang
85
5
0
02 Feb 2023
Approximation analysis of CNNs from a feature extraction view
Approximation analysis of CNNs from a feature extraction view
Jianfei Li
Han Feng
Ding-Xuan Zhou
84
3
0
14 Oct 2022
Optimal Convergence Rates of Deep Convolutional Neural Networks:
  Additive Ridge Functions
Optimal Convergence Rates of Deep Convolutional Neural Networks: Additive Ridge Functions
Zhiying Fang
Guang Cheng
MLT
68
2
0
24 Feb 2022
An Interpretive Constrained Linear Model for ResNet and MgNet
An Interpretive Constrained Linear Model for ResNet and MgNet
Juncai He
Jinchao Xu
Lian Zhang
Jianqing Zhu
81
18
0
14 Dec 2021
1