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Statistical theory for image classification using deep convolutional
  neural networks with cross-entropy loss under the hierarchical max-pooling
  model
v1v2 (latest)

Statistical theory for image classification using deep convolutional neural networks with cross-entropy loss under the hierarchical max-pooling model

27 November 2020
Michael Kohler
S. Langer
ArXiv (abs)PDFHTML

Papers citing "Statistical theory for image classification using deep convolutional neural networks with cross-entropy loss under the hierarchical max-pooling model"

10 / 10 papers shown
Title
Misclassification bounds for PAC-Bayesian sparse deep learning
Misclassification bounds for PAC-Bayesian sparse deep learning
The Tien Mai
UQCVBDL
174
5
0
02 May 2024
On the rates of convergence for learning with convolutional neural networks
On the rates of convergence for learning with convolutional neural networks
Yunfei Yang
Han Feng
Ding-Xuan Zhou
204
3
0
25 Mar 2024
Universal Consistency of Wide and Deep ReLU Neural Networks and Minimax
  Optimal Convergence Rates for Kolmogorov-Donoho Optimal Function Classes
Universal Consistency of Wide and Deep ReLU Neural Networks and Minimax Optimal Convergence Rates for Kolmogorov-Donoho Optimal Function Classes
Hyunouk Ko
Xiaoming Huo
134
1
0
08 Jan 2024
Optimal Convergence Rates of Deep Neural Networks in a Classification
  Setting
Optimal Convergence Rates of Deep Neural Networks in a Classification Setting
Josephine T. Meyer
82
2
0
25 Jul 2022
Minimax Optimal Deep Neural Network Classifiers Under Smooth Decision
  Boundary
Minimax Optimal Deep Neural Network Classifiers Under Smooth Decision Boundary
Tianyang Hu
Ruiqi Liu
Zuofeng Shang
Guang Cheng
75
3
0
04 Jul 2022
Analysis of convolutional neural network image classifiers in a
  rotationally symmetric model
Analysis of convolutional neural network image classifiers in a rotationally symmetric model
Michael Kohler
Benjamin Kohler
85
6
0
11 May 2022
Besov Function Approximation and Binary Classification on
  Low-Dimensional Manifolds Using Convolutional Residual Networks
Besov Function Approximation and Binary Classification on Low-Dimensional Manifolds Using Convolutional Residual Networks
Hao Liu
Minshuo Chen
T. Zhao
Wenjing Liao
96
35
0
07 Sep 2021
Approximation Properties of Deep ReLU CNNs
Approximation Properties of Deep ReLU CNNs
Juncai He
Lin Li
Jinchao Xu
184
21
0
01 Sep 2021
Convergence rates of deep ReLU networks for multiclass classification
Convergence rates of deep ReLU networks for multiclass classification
Thijs Bos
Johannes Schmidt-Hieber
112
24
0
02 Aug 2021
Analysis of convolutional neural network image classifiers in a
  hierarchical max-pooling model with additional local pooling
Analysis of convolutional neural network image classifiers in a hierarchical max-pooling model with additional local pooling
Benjamin Walter
FAtt
67
17
0
31 May 2021
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