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The Power of Depth for Feedforward Neural Networks

The Power of Depth for Feedforward Neural Networks

12 December 2015
Ronen Eldan
Ohad Shamir
ArXivPDFHTML

Papers citing "The Power of Depth for Feedforward Neural Networks"

50 / 367 papers shown
Title
A Systematic Comparison of Deep Learning Architectures in an Autonomous
  Vehicle
A Systematic Comparison of Deep Learning Architectures in an Autonomous Vehicle
Michael Teti
William Edward Hahn
Shawn Martin
W. Hahn
Elan Barenholtz
20
5
0
26 Mar 2018
Generalization and Expressivity for Deep Nets
Generalization and Expressivity for Deep Nets
Shao-Bo Lin
24
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
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
32
27
0
26 Feb 2018
On the Optimization of Deep Networks: Implicit Acceleration by
  Overparameterization
On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization
Sanjeev Arora
Nadav Cohen
Elad Hazan
25
456
0
19 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
45
14
0
14 Feb 2018
On Characterizing the Capacity of Neural Networks using Algebraic
  Topology
On Characterizing the Capacity of Neural Networks using Algebraic Topology
William H. Guss
Ruslan Salakhutdinov
35
89
0
13 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
33
3
0
31 Jan 2018
A Deep Learning Interpretable Classifier for Diabetic Retinopathy
  Disease Grading
A Deep Learning Interpretable Classifier for Diabetic Retinopathy Disease Grading
J. D. L. Torre
A. Valls
D. Puig
14
162
0
21 Dec 2017
The exploding gradient problem demystified - definition, prevalence,
  impact, origin, tradeoffs, and solutions
The exploding gradient problem demystified - definition, prevalence, impact, origin, tradeoffs, and solutions
George Philipp
D. Song
J. Carbonell
ODL
35
46
0
15 Dec 2017
A trans-disciplinary review of deep learning research for water
  resources scientists
A trans-disciplinary review of deep learning research for water resources scientists
Chaopeng Shen
AI4CE
33
682
0
06 Dec 2017
Exploiting Nontrivial Connectivity for Automatic Speech Recognition
Exploiting Nontrivial Connectivity for Automatic Speech Recognition
Marius Paraschiv
Lasse Borgholt
T. M. S. Tax
Marco Singh
Lars Maaløe
33
0
0
28 Nov 2017
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
25
21
0
08 Nov 2017
Bounding and Counting Linear Regions of Deep Neural Networks
Bounding and Counting Linear Regions of Deep Neural Networks
Thiago Serra
Christian Tjandraatmadja
Srikumar Ramalingam
MLT
17
246
0
06 Nov 2017
An efficient quantum algorithm for generative machine learning
An efficient quantum algorithm for generative machine learning
Xun Gao
Zhengyu Zhang
L. Duan
13
25
0
06 Nov 2017
Expressive power of recurrent neural networks
Expressive power of recurrent neural networks
Valentin Khrulkov
Alexander Novikov
Ivan Oseledets
21
112
0
02 Nov 2017
Optimization Landscape and Expressivity of Deep CNNs
Optimization Landscape and Expressivity of Deep CNNs
Quynh N. Nguyen
Matthias Hein
24
29
0
30 Oct 2017
On the Long-Term Memory of Deep Recurrent Networks
On the Long-Term Memory of Deep Recurrent Networks
Yoav Levine
Or Sharir
Alon Ziv
Amnon Shashua
15
24
0
25 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
30
76
0
02 Oct 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
20
880
0
08 Sep 2017
Deep Learning Techniques for Music Generation -- A Survey
Deep Learning Techniques for Music Generation -- A Survey
Jean-Pierre Briot
Gaëtan Hadjeres
F. Pachet
MGen
37
297
0
05 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
35
12
0
02 Sep 2017
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
20
2
0
24 Aug 2017
On the Complexity of Learning Neural Networks
On the Complexity of Learning Neural Networks
Le Song
Santosh Vempala
John Wilmes
Bo Xie
14
59
0
14 Jul 2017
Neural networks and rational functions
Neural networks and rational functions
Matus Telgarsky
22
81
0
11 Jun 2017
Fast learning rate of deep learning via a kernel perspective
Fast learning rate of deep learning via a kernel perspective
Taiji Suzuki
18
6
0
29 May 2017
The Landscape of Deep Learning Algorithms
The Landscape of Deep Learning Algorithms
Pan Zhou
Jiashi Feng
12
24
0
19 May 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
Optimal Approximation with Sparsely Connected Deep Neural Networks
Optimal Approximation with Sparsely Connected Deep Neural Networks
Helmut Bölcskei
Philipp Grohs
Gitta Kutyniok
P. Petersen
30
255
0
04 May 2017
From Deep to Shallow: Transformations of Deep Rectifier Networks
From Deep to Shallow: Transformations of Deep Rectifier Networks
Senjian An
F. Boussaïd
Bennamoun
Jiankun Hu
19
2
0
30 Mar 2017
Native Language Identification using Stacked Generalization
Native Language Identification using Stacked Generalization
S. Malmasi
Mark Dras
13
39
0
19 Mar 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
41
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
424
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
19
10
0
06 Mar 2017
Mixing Complexity and its Applications to Neural Networks
Mixing Complexity and its Applications to Neural Networks
Michal Moshkovitz
Naftali Tishby
21
11
0
02 Mar 2017
Depth Separation for Neural Networks
Depth Separation for Neural Networks
Amit Daniely
MDE
9
74
0
27 Feb 2017
On the Origin of Deep Learning
On the Origin of Deep Learning
Haohan Wang
Bhiksha Raj
MedIm
3DV
VLM
48
223
0
24 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
18
84
0
22 Feb 2017
Deep Stochastic Configuration Networks with Universal Approximation
  Property
Deep Stochastic Configuration Networks with Universal Approximation Property
Dianhui Wang
Ming Li
BDL
13
6
0
18 Feb 2017
Deep Submodular Functions
Deep Submodular Functions
J. Bilmes
Wenruo Bai
19
45
0
31 Jan 2017
Deep Learning and Hierarchal Generative Models
Deep Learning and Hierarchal Generative Models
Elchanan Mossel
BDL
GAN
22
23
0
29 Dec 2016
Reliably Learning the ReLU in Polynomial Time
Reliably Learning the ReLU in Polynomial Time
Surbhi Goel
Varun Kanade
Adam R. Klivans
J. Thaler
21
124
0
30 Nov 2016
An Overview on Data Representation Learning: From Traditional Feature
  Learning to Recent Deep Learning
An Overview on Data Representation Learning: From Traditional Feature Learning to Recent Deep Learning
G. Zhong
Lina Wang
Junyu Dong
AI4TS
36
180
0
25 Nov 2016
Survey of Expressivity in Deep Neural Networks
Survey of Expressivity in Deep Neural Networks
M. Raghu
Ben Poole
Jon M. Kleinberg
Surya Ganguli
Jascha Narain Sohl-Dickstein
24
15
0
24 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
82
4,589
0
10 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
41
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
25
5
0
04 Nov 2016
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of
  Dimensionality: a Review
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review
T. Poggio
H. Mhaskar
Lorenzo Rosasco
Brando Miranda
Q. Liao
14
573
0
02 Nov 2016
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