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Approximation of Nonlinear Functionals Using Deep ReLU Networks

Approximation of Nonlinear Functionals Using Deep ReLU Networks

10 April 2023
Linhao Song
Jun Fan
Dirong Chen
Ding-Xuan Zhou
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Papers citing "Approximation of Nonlinear Functionals Using Deep ReLU Networks"

7 / 7 papers shown
Title
Approximation of RKHS Functionals by Neural Networks
Approximation of RKHS Functionals by Neural Networks
Tiancong Zhou
Namjoon Suh
Guang Cheng
Xiaoming Huo
34
4
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
65
5
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
43
3
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
26
0
0
25 May 2023
Local approximation of operators
Local approximation of operators
H. Mhaskar
19
8
0
13 Feb 2022
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions
  with $ \ell^1 $ and $ \ell^0 $ Controls
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with ℓ1 \ell^1 ℓ1 and ℓ0 \ell^0 ℓ0 Controls
Jason M. Klusowski
Andrew R. Barron
132
142
0
26 Jul 2016
Benefits of depth in neural networks
Benefits of depth in neural networks
Matus Telgarsky
153
603
0
14 Feb 2016
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