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Approximation of Nonlinear Functionals Using Deep ReLU Networks

Approximation of Nonlinear Functionals Using Deep ReLU Networks

Journal of Fourier Analysis and Applications (JFAA), 2023
10 April 2023
Linhao Song
Jun Fan
Dirong Chen
Ding-Xuan Zhou
ArXiv (abs)PDFHTML

Papers citing "Approximation of Nonlinear Functionals Using Deep ReLU Networks"

6 / 6 papers shown
Title
Generalization Analysis for Classification on Korobov Space
Generalization Analysis for Classification on Korobov Space
Yuqing Liu
72
0
0
26 Sep 2025
Approximation of RKHS Functionals by Neural Networks
Approximation of RKHS Functionals by Neural Networks
Tiancong Zhou
Namjoon Suh
Guang Cheng
Xiaoming Huo
177
5
0
18 Mar 2024
Nonlinear functional regression by functional deep neural network with kernel embedding
Nonlinear functional regression by functional deep neural network with kernel embedding
Zhongjie Shi
Jun Fan
Linhao Song
Ding-Xuan Zhou
Johan A. K. Suykens
696
6
0
05 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
291
7
0
27 Dec 2023
Data Topology-Dependent Upper Bounds of Neural Network Widths
Data Topology-Dependent Upper Bounds of Neural Network Widths
Sangmin Lee
Jong Chul Ye
197
1
0
25 May 2023
Local approximation of operators
Local approximation of operatorsApplied and Computational Harmonic Analysis (ACHA), 2022
H. Mhaskar
374
10
0
13 Feb 2022
1