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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
Provably Good Solutions to the Knapsack Problem via Neural Networks of
  Bounded Size
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size
Christoph Hertrich
M. Skutella
50
21
0
28 May 2020
PDE constraints on smooth hierarchical functions computed by neural
  networks
PDE constraints on smooth hierarchical functions computed by neural networks
Khashayar Filom
Konrad Paul Kording
Roozbeh Farhoodi
11
0
0
18 May 2020
The Information Bottleneck Problem and Its Applications in Machine
  Learning
The Information Bottleneck Problem and Its Applications in Machine Learning
Ziv Goldfeld
Yury Polyanskiy
15
129
0
30 Apr 2020
Rational neural networks
Rational neural networks
Nicolas Boullé
Y. Nakatsukasa
Alex Townsend
12
79
0
04 Apr 2020
Batch Normalization Provably Avoids Rank Collapse for Randomly
  Initialised Deep Networks
Batch Normalization Provably Avoids Rank Collapse for Randomly Initialised Deep Networks
Hadi Daneshmand
Jonas Köhler
Francis R. Bach
Thomas Hofmann
Aurélien Lucchi
OOD
ODL
6
4
0
03 Mar 2020
Better Depth-Width Trade-offs for Neural Networks through the lens of
  Dynamical Systems
Better Depth-Width Trade-offs for Neural Networks through the lens of Dynamical Systems
Vaggos Chatziafratis
Sai Ganesh Nagarajan
Ioannis Panageas
12
15
0
02 Mar 2020
Uncertainty Quantification for Sparse Deep Learning
Uncertainty Quantification for Sparse Deep Learning
Yuexi Wang
Veronika Rockova
BDL
UQCV
23
31
0
26 Feb 2020
A closer look at the approximation capabilities of neural networks
A closer look at the approximation capabilities of neural networks
Kai Fong Ernest Chong
11
16
0
16 Feb 2020
A Deep Conditioning Treatment of Neural Networks
A Deep Conditioning Treatment of Neural Networks
Naman Agarwal
Pranjal Awasthi
Satyen Kale
AI4CE
17
14
0
04 Feb 2020
Overfitting Can Be Harmless for Basis Pursuit, But Only to a Degree
Overfitting Can Be Harmless for Basis Pursuit, But Only to a Degree
Peizhong Ju
Xiaojun Lin
Jia Liu
74
7
0
02 Feb 2020
A Corrective View of Neural Networks: Representation, Memorization and
  Learning
A Corrective View of Neural Networks: Representation, Memorization and Learning
Guy Bresler
Dheeraj M. Nagaraj
MLT
13
18
0
01 Feb 2020
Approximation smooth and sparse functions by deep neural networks
  without saturation
Approximation smooth and sparse functions by deep neural networks without saturation
Xia Liu
11
1
0
13 Jan 2020
Lossless Compression of Deep Neural Networks
Lossless Compression of Deep Neural Networks
Thiago Serra
Abhinav Kumar
Srikumar Ramalingam
24
56
0
01 Jan 2020
Depth-Width Trade-offs for ReLU Networks via Sharkovsky's Theorem
Depth-Width Trade-offs for ReLU Networks via Sharkovsky's Theorem
Vaggos Chatziafratis
Sai Ganesh Nagarajan
Ioannis Panageas
Xiao Wang
17
21
0
09 Dec 2019
Exploring the Ideal Depth of Neural Network when Predicting Question
  Deletion on Community Question Answering
Exploring the Ideal Depth of Neural Network when Predicting Question Deletion on Community Question Answering
Souvick Ghosh
Satanu Ghosh
18
4
0
08 Dec 2019
Analysis of Deep Neural Networks with Quasi-optimal polynomial
  approximation rates
Analysis of Deep Neural Networks with Quasi-optimal polynomial approximation rates
Joseph Daws
Clayton Webster
18
8
0
04 Dec 2019
Stationary Points of Shallow Neural Networks with Quadratic Activation
  Function
Stationary Points of Shallow Neural Networks with Quadratic Activation Function
D. Gamarnik
Eren C. Kizildag
Ilias Zadik
11
12
0
03 Dec 2019
Neural Contextual Bandits with UCB-based Exploration
Neural Contextual Bandits with UCB-based Exploration
Dongruo Zhou
Lihong Li
Quanquan Gu
22
15
0
11 Nov 2019
Theoretical Guarantees for Model Auditing with Finite Adversaries
Theoretical Guarantees for Model Auditing with Finite Adversaries
Mario Díaz
Peter Kairouz
Jiachun Liao
Lalitha Sankar
MLAU
AAML
26
2
0
08 Nov 2019
Lipschitz Constrained Parameter Initialization for Deep Transformers
Lipschitz Constrained Parameter Initialization for Deep Transformers
Hongfei Xu
Qiuhui Liu
Josef van Genabith
Deyi Xiong
Jingyi Zhang
ODL
12
26
0
08 Nov 2019
ChebNet: Efficient and Stable Constructions of Deep Neural Networks with
  Rectified Power Units via Chebyshev Approximations
ChebNet: Efficient and Stable Constructions of Deep Neural Networks with Rectified Power Units via Chebyshev Approximations
Shanshan Tang
Bo Li
Haijun Yu
11
7
0
07 Nov 2019
Deep Learning for MIMO Channel Estimation: Interpretation, Performance,
  and Comparison
Deep Learning for MIMO Channel Estimation: Interpretation, Performance, and Comparison
Qiang Hu
Feifei Gao
Hao Zhang
Shi Jin
Geoffrey Ye Li
18
10
0
05 Nov 2019
Mean-field inference methods for neural networks
Mean-field inference methods for neural networks
Marylou Gabrié
AI4CE
16
32
0
03 Nov 2019
Approximation capabilities of neural networks on unbounded domains
Approximation capabilities of neural networks on unbounded domains
Ming-xi Wang
Yang Qu
17
19
0
21 Oct 2019
The Local Elasticity of Neural Networks
The Local Elasticity of Neural Networks
Hangfeng He
Weijie J. Su
21
44
0
15 Oct 2019
A Function Space View of Bounded Norm Infinite Width ReLU Nets: The
  Multivariate Case
A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case
Greg Ongie
Rebecca Willett
Daniel Soudry
Nathan Srebro
13
160
0
03 Oct 2019
Deep Model Reference Adaptive Control
Deep Model Reference Adaptive Control
Girish Joshi
Girish Chowdhary
BDL
AI4CE
17
57
0
18 Sep 2019
Learning Hierarchically Structured Concepts
Learning Hierarchically Structured Concepts
Nancy A. Lynch
Frederik Mallmann-Trenn
19
10
0
10 Sep 2019
Optimal Function Approximation with Relu Neural Networks
Optimal Function Approximation with Relu Neural Networks
Bo Liu
Yi Liang
25
33
0
09 Sep 2019
Information-Theoretic Lower Bounds for Compressive Sensing with
  Generative Models
Information-Theoretic Lower Bounds for Compressive Sensing with Generative Models
Zhaoqiang Liu
Jonathan Scarlett
14
38
0
28 Aug 2019
Deep ReLU network approximation of functions on a manifold
Deep ReLU network approximation of functions on a manifold
Johannes Schmidt-Hieber
17
92
0
02 Aug 2019
Two-hidden-layer Feedforward Neural Networks are Universal
  Approximators: A Constructive Approach
Two-hidden-layer Feedforward Neural Networks are Universal Approximators: A Constructive Approach
Rocio Gonzalez-Diaz
Miguel A. Gutiérrez-Naranjo
Eduardo Paluzo-Hidalgo
14
12
0
26 Jul 2019
Understanding the Representation Power of Graph Neural Networks in
  Learning Graph Topology
Understanding the Representation Power of Graph Neural Networks in Learning Graph Topology
Nima Dehmamy
Albert-László Barabási
Rose Yu
GNN
22
131
0
11 Jul 2019
Error bounds for deep ReLU networks using the Kolmogorov--Arnold
  superposition theorem
Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem
Hadrien Montanelli
Haizhao Yang
4
88
0
27 Jun 2019
A Review on Deep Learning in Medical Image Reconstruction
A Review on Deep Learning in Medical Image Reconstruction
Hai-Miao Zhang
Bin Dong
MedIm
32
122
0
23 Jun 2019
The phase diagram of approximation rates for deep neural networks
The phase diagram of approximation rates for deep neural networks
Dmitry Yarotsky
Anton Zhevnerchuk
17
121
0
22 Jun 2019
DeepSquare: Boosting the Learning Power of Deep Convolutional Neural
  Networks with Elementwise Square Operators
DeepSquare: Boosting the Learning Power of Deep Convolutional Neural Networks with Elementwise Square Operators
Sheng-Wei Chen
Xu Wang
Chao Chen
Yifan Lu
Xijin Zhang
Linfu Wen
24
2
0
12 Jun 2019
The Convergence Rate of Neural Networks for Learned Functions of
  Different Frequencies
The Convergence Rate of Neural Networks for Learned Functions of Different Frequencies
Ronen Basri
David Jacobs
Yoni Kasten
S. Kritchman
8
215
0
02 Jun 2019
Function approximation by deep networks
Function approximation by deep networks
H. Mhaskar
T. Poggio
19
23
0
30 May 2019
Equivalent and Approximate Transformations of Deep Neural Networks
Equivalent and Approximate Transformations of Deep Neural Networks
Abhinav Kumar
Thiago Serra
Srikumar Ramalingam
10
21
0
27 May 2019
Graph Neural Networks Exponentially Lose Expressive Power for Node
  Classification
Graph Neural Networks Exponentially Lose Expressive Power for Node Classification
Kenta Oono
Taiji Suzuki
GNN
30
27
0
27 May 2019
A Polynomial-Based Approach for Architectural Design and Learning with
  Deep Neural Networks
A Polynomial-Based Approach for Architectural Design and Learning with Deep Neural Networks
Joseph Daws
Clayton Webster
11
9
0
24 May 2019
Tucker Decomposition Network: Expressive Power and Comparison
Tucker Decomposition Network: Expressive Power and Comparison
Ye Liu
Junjun Pan
Michael K. Ng
6
1
0
23 May 2019
Approximation spaces of deep neural networks
Approximation spaces of deep neural networks
Rémi Gribonval
Gitta Kutyniok
M. Nielsen
Felix Voigtländer
10
124
0
03 May 2019
Stability and Generalization of Graph Convolutional Neural Networks
Stability and Generalization of Graph Convolutional Neural Networks
Saurabh Verma
Zhi-Li Zhang
GNN
MLT
21
153
0
03 May 2019
Depth Separations in Neural Networks: What is Actually Being Separated?
Depth Separations in Neural Networks: What is Actually Being Separated?
Itay Safran
Ronen Eldan
Ohad Shamir
MDE
11
35
0
15 Apr 2019
The Impact of Neural Network Overparameterization on Gradient Confusion
  and Stochastic Gradient Descent
The Impact of Neural Network Overparameterization on Gradient Confusion and Stochastic Gradient Descent
Karthik A. Sankararaman
Soham De
Zheng Xu
W. R. Huang
Tom Goldstein
ODL
11
103
0
15 Apr 2019
A Selective Overview of Deep Learning
A Selective Overview of Deep Learning
Jianqing Fan
Cong Ma
Yiqiao Zhong
BDL
VLM
25
136
0
10 Apr 2019
Deep Fundamental Factor Models
Deep Fundamental Factor Models
M. Dixon
Nicholas G. Polson
26
9
0
18 Mar 2019
Is Deeper Better only when Shallow is Good?
Is Deeper Better only when Shallow is Good?
Eran Malach
Shai Shalev-Shwartz
20
45
0
08 Mar 2019
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