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Approximation and Estimation for High-Dimensional Deep Learning Networks

Approximation and Estimation for High-Dimensional Deep Learning Networks

10 September 2018
Andrew R. Barron
Jason M. Klusowski
ArXivPDFHTML

Papers citing "Approximation and Estimation for High-Dimensional Deep Learning Networks"

12 / 12 papers shown
Title
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss
T. Getu
Georges Kaddoum
M. Bennis
40
1
0
13 Sep 2023
Nonlinear controllability and function representation by neural
  stochastic differential equations
Nonlinear controllability and function representation by neural stochastic differential equations
Tanya Veeravalli
Maxim Raginsky
DiffM
11
2
0
01 Dec 2022
Random feature neural networks learn Black-Scholes type PDEs without
  curse of dimensionality
Random feature neural networks learn Black-Scholes type PDEs without curse of dimensionality
Lukas Gonon
15
35
0
14 Jun 2021
Neural Network Approximation: Three Hidden Layers Are Enough
Neural Network Approximation: Three Hidden Layers Are Enough
Zuowei Shen
Haizhao Yang
Shijun Zhang
24
115
0
25 Oct 2020
Complexity Measures for Neural Networks with General Activation
  Functions Using Path-based Norms
Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms
Zhong Li
Chao Ma
Lei Wu
18
24
0
14 Sep 2020
Rejoinder: On nearly assumption-free tests of nominal confidence
  interval coverage for causal parameters estimated by machine learning
Rejoinder: On nearly assumption-free tests of nominal confidence interval coverage for causal parameters estimated by machine learning
Lin Liu
Rajarshi Mukherjee
J. M. Robins
CML
33
16
0
07 Aug 2020
Layer Sparsity in Neural Networks
Layer Sparsity in Neural Networks
Mohamed Hebiri
Johannes Lederer
28
10
0
28 Jun 2020
Deep Network Approximation for Smooth Functions
Deep Network Approximation for Smooth Functions
Jianfeng Lu
Zuowei Shen
Haizhao Yang
Shijun Zhang
67
247
0
09 Jan 2020
A Priori Estimates of the Population Risk for Residual Networks
A Priori Estimates of the Population Risk for Residual Networks
E. Weinan
Chao Ma
Qingcan Wang
UQCV
29
61
0
06 Mar 2019
Generalization Error in Deep Learning
Generalization Error in Deep Learning
Daniel Jakubovitz
Raja Giryes
M. Rodrigues
AI4CE
21
109
0
03 Aug 2018
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
130
142
0
26 Jul 2016
Norm-Based Capacity Control in Neural Networks
Norm-Based Capacity Control in Neural Networks
Behnam Neyshabur
Ryota Tomioka
Nathan Srebro
119
577
0
27 Feb 2015
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