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Learning Functions: When Is Deep Better Than Shallow

Learning Functions: When Is Deep Better Than Shallow

3 March 2016
H. Mhaskar
Q. Liao
T. Poggio
ArXivPDFHTML

Papers citing "Learning Functions: When Is Deep Better Than Shallow"

22 / 22 papers shown
Title
Deep neural network approximation of composite functions without the
  curse of dimensionality
Deep neural network approximation of composite functions without the curse of dimensionality
Adrian Riekert
26
0
0
12 Apr 2023
Universal Approximation Property of Hamiltonian Deep Neural Networks
Universal Approximation Property of Hamiltonian Deep Neural Networks
M. Zakwan
M. d’Angelo
Giancarlo Ferrari-Trecate
36
5
0
21 Mar 2023
Conditional Deep Gaussian Processes: empirical Bayes hyperdata learning
Conditional Deep Gaussian Processes: empirical Bayes hyperdata learning
Chi-Ken Lu
Patrick Shafto
BDL
27
4
0
01 Oct 2021
Tensor Methods in Computer Vision and Deep Learning
Tensor Methods in Computer Vision and Deep Learning
Yannis Panagakis
Jean Kossaifi
Grigorios G. Chrysos
James Oldfield
M. Nicolaou
Anima Anandkumar
S. Zafeiriou
27
119
0
07 Jul 2021
Wide-band butterfly network: stable and efficient inversion via
  multi-frequency neural networks
Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks
Matthew T.C. Li
L. Demanet
Leonardo Zepeda-Núnez
35
8
0
24 Nov 2020
Expressivity of Deep Neural Networks
Expressivity of Deep Neural Networks
Ingo Gühring
Mones Raslan
Gitta Kutyniok
16
51
0
09 Jul 2020
A Review on Deep Learning in Medical Image Reconstruction
A Review on Deep Learning in Medical Image Reconstruction
Hai-Miao Zhang
Bin Dong
MedIm
35
122
0
23 Jun 2019
A Selective Overview of Deep Learning
A Selective Overview of Deep Learning
Jianqing Fan
Cong Ma
Yiqiao Zhong
BDL
VLM
36
136
0
10 Apr 2019
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Gitta Kutyniok
P. Petersen
Mones Raslan
R. Schneider
20
197
0
31 Mar 2019
BCR-Net: a neural network based on the nonstandard wavelet form
BCR-Net: a neural network based on the nonstandard wavelet form
Yuwei Fan
Cindy Orozco Bohorquez
Lexing Ying
15
47
0
20 Oct 2018
Training Deeper Neural Machine Translation Models with Transparent
  Attention
Training Deeper Neural Machine Translation Models with Transparent Attention
Ankur Bapna
Mengzhao Chen
Orhan Firat
Yuan Cao
Yonghui Wu
29
138
0
22 Aug 2018
Deep Multiscale Model Learning
Deep Multiscale Model Learning
Yating Wang
Siu Wun Cheung
Eric T. Chung
Y. Efendiev
Min Wang
AI4CE
19
79
0
13 Jun 2018
Butterfly-Net: Optimal Function Representation Based on Convolutional
  Neural Networks
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks
Yingzhou Li
Xiuyuan Cheng
Jianfeng Lu
21
23
0
18 May 2018
Optimal approximation of continuous functions by very deep ReLU networks
Optimal approximation of continuous functions by very deep ReLU networks
Dmitry Yarotsky
27
294
0
10 Feb 2018
On the Compressive Power of Deep Rectifier Networks for High Resolution
  Representation of Class Boundaries
On the Compressive Power of Deep Rectifier Networks for High Resolution Representation of Class Boundaries
Senjian An
Bennamoun
F. Boussaïd
18
2
0
24 Aug 2017
The power of deeper networks for expressing natural functions
The power of deeper networks for expressing natural functions
David Rolnick
Max Tegmark
36
174
0
16 May 2017
Analysis and Design of Convolutional Networks via Hierarchical Tensor
  Decompositions
Analysis and Design of Convolutional Networks via Hierarchical Tensor Decompositions
Nadav Cohen
Or Sharir
Yoav Levine
Ronen Tamari
David Yakira
Amnon Shashua
20
38
0
05 May 2017
Why does deep and cheap learning work so well?
Why does deep and cheap learning work so well?
Henry W. Lin
Max Tegmark
David Rolnick
19
602
0
29 Aug 2016
On the Expressive Power of Deep Neural Networks
On the Expressive Power of Deep Neural Networks
M. Raghu
Ben Poole
Jon M. Kleinberg
Surya Ganguli
Jascha Narain Sohl-Dickstein
27
777
0
16 Jun 2016
Inductive Bias of Deep Convolutional Networks through Pooling Geometry
Inductive Bias of Deep Convolutional Networks through Pooling Geometry
Nadav Cohen
Amnon Shashua
22
132
0
22 May 2016
Bridging the Gaps Between Residual Learning, Recurrent Neural Networks
  and Visual Cortex
Bridging the Gaps Between Residual Learning, Recurrent Neural Networks and Visual Cortex
Q. Liao
T. Poggio
213
255
0
13 Apr 2016
MatConvNet - Convolutional Neural Networks for MATLAB
MatConvNet - Convolutional Neural Networks for MATLAB
Andrea Vedaldi
Karel Lenc
183
2,946
0
15 Dec 2014
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