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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"

9 / 9 papers shown
Title
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
363
5
0
05 Jan 2024
Universality of Deep Convolutional Neural Networks
Universality of Deep Convolutional Neural Networks
Ding-Xuan Zhou
HAI
PINN
321
514
0
28 May 2018
Optimal approximation of continuous functions by very deep ReLU networks
Optimal approximation of continuous functions by very deep ReLU networks
Dmitry Yarotsky
156
293
0
10 Feb 2018
Optimal approximation of piecewise smooth functions using deep ReLU
  neural networks
Optimal approximation of piecewise smooth functions using deep ReLU neural networks
P. Petersen
Felix Voigtländer
193
475
0
15 Sep 2017
Error bounds for approximations with deep ReLU networks
Error bounds for approximations with deep ReLU networks
Dmitry Yarotsky
171
1,226
0
03 Oct 2016
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
229
143
0
26 Jul 2016
Benefits of depth in neural networks
Benefits of depth in neural networks
Matus Telgarsky
326
608
0
14 Feb 2016
Provable approximation properties for deep neural networks
Provable approximation properties for deep neural networks
Uri Shaham
A. Cloninger
Ronald R. Coifman
125
230
0
24 Sep 2015
Functional Multi-Layer Perceptron: a Nonlinear Tool for Functional Data
  Analysis
Functional Multi-Layer Perceptron: a Nonlinear Tool for Functional Data Analysis
F. Rossi
Brieuc Conan-Guez
389
126
0
23 Sep 2007
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