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Benefits of depth in neural networks

Benefits of depth in neural networks

14 February 2016
Matus Telgarsky
ArXivPDFHTML

Papers citing "Benefits of depth in neural networks"

50 / 353 papers shown
Title
Generalization and Expressivity for Deep Nets
Generalization and Expressivity for Deep Nets
Shao-Bo Lin
16
45
0
10 Mar 2018
Some Approximation Bounds for Deep Networks
Some Approximation Bounds for Deep Networks
B. McCane
Lech Szymanski
13
1
0
08 Mar 2018
The emergent algebraic structure of RNNs and embeddings in NLP
The emergent algebraic structure of RNNs and embeddings in NLP
Sean A. Cantrell
22
2
0
07 Mar 2018
On the Power of Over-parametrization in Neural Networks with Quadratic
  Activation
On the Power of Over-parametrization in Neural Networks with Quadratic Activation
S. Du
J. Lee
16
267
0
03 Mar 2018
Neural Networks Should Be Wide Enough to Learn Disconnected Decision
  Regions
Neural Networks Should Be Wide Enough to Learn Disconnected Decision Regions
Quynh N. Nguyen
Mahesh Chandra Mukkamala
Matthias Hein
MLT
19
54
0
28 Feb 2018
Limits on representing Boolean functions by linear combinations of
  simple functions: thresholds, ReLUs, and low-degree polynomials
Limits on representing Boolean functions by linear combinations of simple functions: thresholds, ReLUs, and low-degree polynomials
Richard Ryan Williams
25
26
0
26 Feb 2018
Guaranteed Recovery of One-Hidden-Layer Neural Networks via Cross
  Entropy
Guaranteed Recovery of One-Hidden-Layer Neural Networks via Cross Entropy
H. Fu
Yuejie Chi
Yingbin Liang
FedML
19
39
0
18 Feb 2018
The Role of Information Complexity and Randomization in Representation
  Learning
The Role of Information Complexity and Randomization in Representation Learning
Matías Vera
Pablo Piantanida
L. Rey Vega
37
14
0
14 Feb 2018
Optimal approximation of continuous functions by very deep ReLU networks
Optimal approximation of continuous functions by very deep ReLU networks
Dmitry Yarotsky
13
293
0
10 Feb 2018
Deep Learning Works in Practice. But Does it Work in Theory?
Deep Learning Works in Practice. But Does it Work in Theory?
L. Hoang
R. Guerraoui
PINN
28
3
0
31 Jan 2018
Lower bounds over Boolean inputs for deep neural networks with ReLU
  gates
Lower bounds over Boolean inputs for deep neural networks with ReLU gates
Anirbit Mukherjee
A. Basu
20
20
0
08 Nov 2017
Learning Non-overlapping Convolutional Neural Networks with Multiple
  Kernels
Learning Non-overlapping Convolutional Neural Networks with Multiple Kernels
Kai Zhong
Zhao-quan Song
Inderjit S. Dhillon
28
75
0
08 Nov 2017
Approximating Continuous Functions by ReLU Nets of Minimal Width
Approximating Continuous Functions by ReLU Nets of Minimal Width
Boris Hanin
Mark Sellke
31
229
0
31 Oct 2017
Optimization Landscape and Expressivity of Deep CNNs
Optimization Landscape and Expressivity of Deep CNNs
Quynh N. Nguyen
Matthias Hein
22
29
0
30 Oct 2017
Generalization in Deep Learning
Generalization in Deep Learning
Kenji Kawaguchi
L. Kaelbling
Yoshua Bengio
ODL
28
460
0
16 Oct 2017
Porcupine Neural Networks: (Almost) All Local Optima are Global
Porcupine Neural Networks: (Almost) All Local Optima are Global
S. Feizi
Hamid Javadi
Jesse M. Zhang
David Tse
15
36
0
05 Oct 2017
Learning hard quantum distributions with variational autoencoders
Learning hard quantum distributions with variational autoencoders
Andrea Rocchetto
Edward Grant
Sergii Strelchuk
Giuseppe Carleo
Simone Severini
BDL
DRL
22
76
0
02 Oct 2017
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
76
470
0
15 Sep 2017
The Expressive Power of Neural Networks: A View from the Width
The Expressive Power of Neural Networks: A View from the Width
Zhou Lu
Hongming Pu
Feicheng Wang
Zhiqiang Hu
Liwei Wang
6
879
0
08 Sep 2017
Training Shallow and Thin Networks for Acceleration via Knowledge
  Distillation with Conditional Adversarial Networks
Training Shallow and Thin Networks for Acceleration via Knowledge Distillation with Conditional Adversarial Networks
Zheng Xu
Yen-Chang Hsu
Jiawei Huang
GAN
21
12
0
02 Sep 2017
A Comprehensive Survey of Deep Learning in Remote Sensing: Theories,
  Tools and Challenges for the Community
A Comprehensive Survey of Deep Learning in Remote Sensing: Theories, Tools and Challenges for the Community
John E. Ball
Derek T. Anderson
Chee Seng Chan
27
521
0
01 Sep 2017
Nonparametric regression using deep neural networks with ReLU activation
  function
Nonparametric regression using deep neural networks with ReLU activation function
Johannes Schmidt-Hieber
14
796
0
22 Aug 2017
Theoretical insights into the optimization landscape of
  over-parameterized shallow neural networks
Theoretical insights into the optimization landscape of over-parameterized shallow neural networks
Mahdi Soltanolkotabi
Adel Javanmard
J. Lee
36
415
0
16 Jul 2017
On the Complexity of Learning Neural Networks
On the Complexity of Learning Neural Networks
Le Song
Santosh Vempala
John Wilmes
Bo Xie
6
59
0
14 Jul 2017
Deep Convolutional Framelets: A General Deep Learning Framework for
  Inverse Problems
Deep Convolutional Framelets: A General Deep Learning Framework for Inverse Problems
J. C. Ye
Yoseob Han
Eunju Cha
36
16
0
03 Jul 2017
Neural networks and rational functions
Neural networks and rational functions
Matus Telgarsky
14
81
0
11 Jun 2017
Recovery Guarantees for One-hidden-layer Neural Networks
Recovery Guarantees for One-hidden-layer Neural Networks
Kai Zhong
Zhao-quan Song
Prateek Jain
Peter L. Bartlett
Inderjit S. Dhillon
MLT
22
336
0
10 Jun 2017
The power of deeper networks for expressing natural functions
The power of deeper networks for expressing natural functions
David Rolnick
Max Tegmark
21
174
0
16 May 2017
Detecting Statistical Interactions from Neural Network Weights
Detecting Statistical Interactions from Neural Network Weights
Michael Tsang
Dehua Cheng
Yan Liu
25
192
0
14 May 2017
Deep Radial Kernel Networks: Approximating Radially Symmetric Functions
  with Deep Networks
Deep Radial Kernel Networks: Approximating Radially Symmetric Functions with Deep Networks
B. McCane
Lech Szymanski
33
6
0
09 Mar 2017
Nearly-tight VC-dimension and pseudodimension bounds for piecewise
  linear neural networks
Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networks
Peter L. Bartlett
Nick Harvey
Christopher Liaw
Abbas Mehrabian
16
423
0
08 Mar 2017
On the Expressive Power of Overlapping Architectures of Deep Learning
On the Expressive Power of Overlapping Architectures of Deep Learning
Or Sharir
Amnon Shashua
11
10
0
06 Mar 2017
Wavelet Domain Residual Network (WavResNet) for Low-Dose X-ray CT
  Reconstruction
Wavelet Domain Residual Network (WavResNet) for Low-Dose X-ray CT Reconstruction
Eunhee Kang
Junhong Min
J. C. Ye
MedIm
OOD
30
61
0
04 Mar 2017
Deep artifact learning for compressed sensing and parallel MRI
Deep artifact learning for compressed sensing and parallel MRI
Dongwook Lee
J. Yoo
J. C. Ye
MedIm
27
36
0
03 Mar 2017
Theoretical Properties for Neural Networks with Weight Matrices of Low
  Displacement Rank
Theoretical Properties for Neural Networks with Weight Matrices of Low Displacement Rank
Liang Zhao
Siyu Liao
Yanzhi Wang
Zhe Li
Jian Tang
Victor Pan
Bo Yuan
31
61
0
01 Mar 2017
Deep Semi-Random Features for Nonlinear Function Approximation
Deep Semi-Random Features for Nonlinear Function Approximation
Kenji Kawaguchi
Bo Xie
Vikas Verma
Le Song
13
15
0
28 Feb 2017
The Shattered Gradients Problem: If resnets are the answer, then what is
  the question?
The Shattered Gradients Problem: If resnets are the answer, then what is the question?
David Balduzzi
Marcus Frean
Lennox Leary
J. P. Lewis
Kurt Wan-Duo Ma
Brian McWilliams
ODL
6
397
0
28 Feb 2017
On the ability of neural nets to express distributions
On the ability of neural nets to express distributions
Holden Lee
Rong Ge
Tengyu Ma
Andrej Risteski
Sanjeev Arora
BDL
10
84
0
22 Feb 2017
Deep Learning and Hierarchal Generative Models
Deep Learning and Hierarchal Generative Models
Elchanan Mossel
BDL
GAN
12
23
0
29 Dec 2016
Deep Residual Learning for Compressed Sensing CT Reconstruction via
  Persistent Homology Analysis
Deep Residual Learning for Compressed Sensing CT Reconstruction via Persistent Homology Analysis
Yoseob Han
J. Yoo
J. C. Ye
32
203
0
19 Nov 2016
Beyond Deep Residual Learning for Image Restoration: Persistent
  Homology-Guided Manifold Simplification
Beyond Deep Residual Learning for Image Restoration: Persistent Homology-Guided Manifold Simplification
Woong Bae
J. Yoo
J. C. Ye
SupR
16
176
0
19 Nov 2016
Understanding deep learning requires rethinking generalization
Understanding deep learning requires rethinking generalization
Chiyuan Zhang
Samy Bengio
Moritz Hardt
Benjamin Recht
Oriol Vinyals
HAI
32
4,588
0
10 Nov 2016
Neural Taylor Approximations: Convergence and Exploration in Rectifier
  Networks
Neural Taylor Approximations: Convergence and Exploration in Rectifier Networks
David Balduzzi
Brian McWilliams
T. Butler-Yeoman
19
28
0
07 Nov 2016
Understanding Deep Neural Networks with Rectified Linear Units
Understanding Deep Neural Networks with Rectified Linear Units
R. Arora
A. Basu
Poorya Mianjy
Anirbit Mukherjee
PINN
30
633
0
04 Nov 2016
Learning Identity Mappings with Residual Gates
Learning Identity Mappings with Residual Gates
Pedro H. P. Savarese
Leonardo O. Mazza
Daniel R. Figueiredo
23
5
0
04 Nov 2016
Depth-Width Tradeoffs in Approximating Natural Functions with Neural
  Networks
Depth-Width Tradeoffs in Approximating Natural Functions with Neural Networks
Itay Safran
Ohad Shamir
18
174
0
31 Oct 2016
Why Deep Neural Networks for Function Approximation?
Why Deep Neural Networks for Function Approximation?
Shiyu Liang
R. Srikant
17
383
0
13 Oct 2016
Error bounds for approximations with deep ReLU networks
Error bounds for approximations with deep ReLU networks
Dmitry Yarotsky
25
1,221
0
03 Oct 2016
AdaNet: Adaptive Structural Learning of Artificial Neural Networks
AdaNet: Adaptive Structural Learning of Artificial Neural Networks
Corinna Cortes
X. Gonzalvo
Vitaly Kuznetsov
M. Mohri
Scott Yang
21
282
0
05 Jul 2016
Robust Large Margin Deep Neural Networks
Robust Large Margin Deep Neural Networks
Jure Sokolić
Raja Giryes
Guillermo Sapiro
M. Rodrigues
26
307
0
26 May 2016
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