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1602.04485
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Benefits of depth in neural networks
14 February 2016
Matus Telgarsky
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Papers citing
"Benefits of depth in neural networks"
50 / 353 papers shown
Title
Generalization and Expressivity for Deep Nets
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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
Sean A. Cantrell
22
2
0
07 Mar 2018
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
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
Richard Ryan Williams
25
26
0
26 Feb 2018
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
Matías Vera
Pablo Piantanida
L. Rey Vega
37
14
0
14 Feb 2018
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?
L. Hoang
R. Guerraoui
PINN
28
3
0
31 Jan 2018
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
Kai Zhong
Zhao-quan Song
Inderjit S. Dhillon
28
75
0
08 Nov 2017
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
Quynh N. Nguyen
Matthias Hein
22
29
0
30 Oct 2017
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
S. Feizi
Hamid Javadi
Jesse M. Zhang
David Tse
15
36
0
05 Oct 2017
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
P. Petersen
Felix Voigtländer
76
470
0
15 Sep 2017
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
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
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
Johannes Schmidt-Hieber
14
796
0
22 Aug 2017
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
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
J. C. Ye
Yoseob Han
Eunju Cha
36
16
0
03 Jul 2017
Neural networks and rational functions
Matus Telgarsky
14
81
0
11 Jun 2017
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
David Rolnick
Max Tegmark
21
174
0
16 May 2017
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
B. McCane
Lech Szymanski
33
6
0
09 Mar 2017
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
Or Sharir
Amnon Shashua
11
10
0
06 Mar 2017
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
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
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
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?
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
Holden Lee
Rong Ge
Tengyu Ma
Andrej Risteski
Sanjeev Arora
BDL
10
84
0
22 Feb 2017
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
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
Woong Bae
J. Yoo
J. C. Ye
SupR
16
176
0
19 Nov 2016
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
David Balduzzi
Brian McWilliams
T. Butler-Yeoman
19
28
0
07 Nov 2016
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
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
Itay Safran
Ohad Shamir
18
174
0
31 Oct 2016
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
Dmitry Yarotsky
25
1,221
0
03 Oct 2016
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
Jure Sokolić
Raja Giryes
Guillermo Sapiro
M. Rodrigues
26
307
0
26 May 2016
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