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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
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size
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PDE constraints on smooth hierarchical functions computed by neural networks
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The Information Bottleneck Problem and Its Applications in Machine Learning
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Yury Polyanskiy
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30 Apr 2020
Rational neural networks
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Alex Townsend
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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
Vaggos Chatziafratis
Sai Ganesh Nagarajan
Ioannis Panageas
12
15
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02 Mar 2020
Uncertainty Quantification for Sparse Deep Learning
Yuexi Wang
Veronika Rockova
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23
31
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26 Feb 2020
A closer look at the approximation capabilities of neural networks
Kai Fong Ernest Chong
11
16
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16 Feb 2020
A Deep Conditioning Treatment of Neural Networks
Naman Agarwal
Pranjal Awasthi
Satyen Kale
AI4CE
17
14
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04 Feb 2020
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
Guy Bresler
Dheeraj M. Nagaraj
MLT
13
18
0
01 Feb 2020
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
Thiago Serra
Abhinav Kumar
Srikumar Ramalingam
24
56
0
01 Jan 2020
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
Souvick Ghosh
Satanu Ghosh
18
4
0
08 Dec 2019
Analysis of Deep Neural Networks with Quasi-optimal polynomial approximation rates
Joseph Daws
Clayton Webster
18
8
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04 Dec 2019
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
Dongruo Zhou
Lihong Li
Quanquan Gu
22
15
0
11 Nov 2019
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
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
Shanshan Tang
Bo Li
Haijun Yu
11
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07 Nov 2019
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
Marylou Gabrié
AI4CE
16
32
0
03 Nov 2019
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
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
Greg Ongie
Rebecca Willett
Daniel Soudry
Nathan Srebro
13
160
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03 Oct 2019
Deep Model Reference Adaptive Control
Girish Joshi
Girish Chowdhary
BDL
AI4CE
17
57
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18 Sep 2019
Learning Hierarchically Structured Concepts
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Frederik Mallmann-Trenn
19
10
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10 Sep 2019
Optimal Function Approximation with Relu Neural Networks
Bo Liu
Yi Liang
25
33
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09 Sep 2019
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
Johannes Schmidt-Hieber
17
92
0
02 Aug 2019
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
Nima Dehmamy
Albert-László Barabási
Rose Yu
GNN
22
131
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11 Jul 2019
Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem
Hadrien Montanelli
Haizhao Yang
4
88
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27 Jun 2019
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
Dmitry Yarotsky
Anton Zhevnerchuk
17
121
0
22 Jun 2019
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
Ronen Basri
David Jacobs
Yoni Kasten
S. Kritchman
8
215
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02 Jun 2019
Function approximation by deep networks
H. Mhaskar
T. Poggio
19
23
0
30 May 2019
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
Kenta Oono
Taiji Suzuki
GNN
30
27
0
27 May 2019
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
Ye Liu
Junjun Pan
Michael K. Ng
6
1
0
23 May 2019
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
Saurabh Verma
Zhi-Li Zhang
GNN
MLT
21
153
0
03 May 2019
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
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
Jianqing Fan
Cong Ma
Yiqiao Zhong
BDL
VLM
25
136
0
10 Apr 2019
Deep Fundamental Factor Models
M. Dixon
Nicholas G. Polson
26
9
0
18 Mar 2019
Is Deeper Better only when Shallow is Good?
Eran Malach
Shai Shalev-Shwartz
20
45
0
08 Mar 2019
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