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

4 September 2018

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 Yuwen Li Guozhi Zhang 46 1 0 20 Jan 2025
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 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 Hao Jiang Qianxiao Li Zhong Li Shida Wang AI4TS 30 12 0 27 Feb 2023
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 43 11 0 18 Jan 2023
Equivariant and Steerable Neural Networks: A review with special emphasis on the symmetric group Patrick Krüger Hanno Gottschalk 29 1 0 08 Jan 2023
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems Qianxiao Li T. Lin Zuowei Shen 24 6 0 18 Aug 2022
Anti-Oversmoothing in Deep Vision Transformers via the Fourier Domain Analysis: From Theory to Practice Peihao Wang Wenqing Zheng Tianlong Chen Zhangyang Wang ViT 27 127 0 09 Mar 2022
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 Tong Mao Zhongjie Shi Ding-Xuan Zhou 16 33 0 02 Jul 2021
The universal approximation theorem for complex-valued neural networks F. Voigtlaender 27 62 0 06 Dec 2020
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 Gitta Kutyniok P. Petersen Mones Raslan R. Schneider 20 197 0 31 Mar 2019