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Equivalence of approximation by convolutional neural networks and
  fully-connected networks

Equivalence of approximation by convolutional neural networks and fully-connected networks

4 September 2018
P. Petersen
Felix Voigtländer
ArXivPDFHTML

Papers citing "Equivalence of approximation by convolutional neural networks and fully-connected networks"

13 / 13 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
46
1
0
20 Jan 2025
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of
  Experts
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
Anastasis Kratsios
Haitz Sáez de Ocáriz Borde
Takashi Furuya
Marc T. Law
MoE
41
1
0
05 Feb 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model
  Reduction for Operator Learning
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
34
5
0
19 Jan 2024
A Brief Survey on the Approximation Theory for Sequence Modelling
A Brief Survey on the Approximation Theory for Sequence Modelling
Hao Jiang
Qianxiao Li
Zhong Li
Shida Wang
AI4TS
30
12
0
27 Feb 2023
Tailor: Altering Skip Connections for Resource-Efficient Inference
Tailor: Altering Skip Connections for Resource-Efficient Inference
Olivia Weng
Gabriel Marcano
Vladimir Loncar
Alireza Khodamoradi
Nojan Sheybani
Andres Meza
F. Koushanfar
K. Denolf
Javier Mauricio Duarte
Ryan Kastner
40
11
0
18 Jan 2023
Equivariant and Steerable Neural Networks: A review with special
  emphasis on the symmetric group
Equivariant and Steerable Neural Networks: A review with special emphasis on the symmetric group
Patrick Krüger
Hanno Gottschalk
24
1
0
08 Jan 2023
Deep Neural Network Approximation of Invariant Functions through
  Dynamical Systems
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
Qianxiao Li
T. Lin
Zuowei Shen
21
6
0
18 Aug 2022
Anti-Oversmoothing in Deep Vision Transformers via the Fourier Domain
  Analysis: From Theory to Practice
Anti-Oversmoothing in Deep Vision Transformers via the Fourier Domain Analysis: From Theory to Practice
Peihao Wang
Wenqing Zheng
Tianlong Chen
Zhangyang Wang
ViT
24
127
0
09 Mar 2022
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet
  Transform based on Helgason-Fourier Analysis
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis
Sho Sonoda
Isao Ishikawa
Masahiro Ikeda
21
15
0
03 Mar 2022
Theory of Deep Convolutional Neural Networks III: Approximating Radial
  Functions
Theory of Deep Convolutional Neural Networks III: Approximating Radial Functions
Tong Mao
Zhongjie Shi
Ding-Xuan Zhou
16
33
0
02 Jul 2021
The universal approximation theorem for complex-valued neural networks
The universal approximation theorem for complex-valued neural networks
F. Voigtlaender
27
62
0
06 Dec 2020
Expressivity of Deep Neural Networks
Expressivity of Deep Neural Networks
Ingo Gühring
Mones Raslan
Gitta Kutyniok
16
51
0
09 Jul 2020
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Gitta Kutyniok
P. Petersen
Mones Raslan
R. Schneider
20
197
0
31 Mar 2019
1