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Sharp Representation Theorems for ReLU Networks with Precise Dependence
  on Depth

Sharp Representation Theorems for ReLU Networks with Precise Dependence on Depth

7 June 2020
Guy Bresler
Dheeraj M. Nagaraj
ArXivPDFHTML

Papers citing "Sharp Representation Theorems for ReLU Networks with Precise Dependence on Depth"

7 / 7 papers shown
Title
Approximation results for Gradient Descent trained Shallow Neural
  Networks in $1d$
Approximation results for Gradient Descent trained Shallow Neural Networks in 1d1d1d
R. Gentile
G. Welper
ODL
56
6
0
17 Sep 2022
Expressivity of Neural Networks via Chaotic Itineraries beyond
  Sharkovsky's Theorem
Expressivity of Neural Networks via Chaotic Itineraries beyond Sharkovsky's Theorem
Clayton Sanford
Vaggos Chatziafratis
16
1
0
19 Oct 2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces
On the Representation of Solutions to Elliptic PDEs in Barron Spaces
Ziang Chen
Jianfeng Lu
Yulong Lu
38
27
0
14 Jun 2021
Depth separation beyond radial functions
Depth separation beyond radial functions
Luca Venturi
Samy Jelassi
Tristan Ozuch
Joan Bruna
19
15
0
02 Feb 2021
Size and Depth Separation in Approximating Benign Functions with Neural
  Networks
Size and Depth Separation in Approximating Benign Functions with Neural Networks
Gal Vardi
Daniel Reichman
T. Pitassi
Ohad Shamir
28
7
0
30 Jan 2021
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
1