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Approximation in shift-invariant spaces with deep ReLU neural networks
v1v2v3 (latest)

Approximation in shift-invariant spaces with deep ReLU neural networks

Neural Networks (NN), 2020
25 May 2020
Yunfei Yang
Zhen Li
Yang Wang
ArXiv (abs)PDFHTML

Papers citing "Approximation in shift-invariant spaces with deep ReLU neural networks"

12 / 12 papers shown
Approximation properties of neural ODEs
Approximation properties of neural ODEs
Arturo De Marinis
Davide Murari
E. Celledoni
Nicola Guglielmi
B. Owren
Francesco Tudisco
295
3
0
19 Mar 2025
Approximation Bounds for Recurrent Neural Networks with Application to Regression
Approximation Bounds for Recurrent Neural Networks with Application to Regression
Yuling Jiao
Yang Wang
Bokai Yan
290
1
0
09 Sep 2024
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networksApplied and Computational Harmonic Analysis (ACHA), 2024
Yunfei Yang
512
11
0
02 Sep 2024
Optimal rates of approximation by shallow ReLU$^k$ neural networks and
  applications to nonparametric regression
Optimal rates of approximation by shallow ReLUk^kk neural networks and applications to nonparametric regressionConstructive approximation (Constr. Approx.), 2023
Yunfei Yang
Ding-Xuan Zhou
423
25
0
04 Apr 2023
On the Universal Approximation Property of Deep Fully Convolutional
  Neural Networks
On the Universal Approximation Property of Deep Fully Convolutional Neural NetworksSIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2022
Ting-Wei Lin
Zuowei Shen
Qianxiao Li
256
5
0
25 Nov 2022
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
260
9
0
18 Aug 2022
Approximation bounds for norm constrained neural networks with
  applications to regression and GANs
Approximation bounds for norm constrained neural networks with applications to regression and GANsApplied and Computational Harmonic Analysis (ACHA), 2022
Yuling Jiao
Yang Wang
Yunfei Yang
298
27
0
24 Jan 2022
Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed
  Number of Neurons
Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons
Zuowei Shen
Haizhao Yang
Shijun Zhang
902
58
0
06 Jul 2021
Solving PDEs on Unknown Manifolds with Machine Learning
Solving PDEs on Unknown Manifolds with Machine LearningApplied and Computational Harmonic Analysis (ACHA), 2021
Senwei Liang
Shixiao W. Jiang
J. Harlim
Haizhao Yang
AI4CE
279
22
0
12 Jun 2021
Neural Network Approximation: Three Hidden Layers Are Enough
Neural Network Approximation: Three Hidden Layers Are EnoughNeural Networks (NN), 2020
Zuowei Shen
Haizhao Yang
Shijun Zhang
510
146
0
25 Oct 2020
Two-Layer Neural Networks for Partial Differential Equations:
  Optimization and Generalization Theory
Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory
Yaoyu Zhang
Haizhao Yang
470
84
0
28 Jun 2020
Deep Network with Approximation Error Being Reciprocal of Width to Power
  of Square Root of Depth
Deep Network with Approximation Error Being Reciprocal of Width to Power of Square Root of Depth
Zuowei Shen
Haizhao Yang
Shijun Zhang
345
7
0
22 Jun 2020
1
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