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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
Approximating smooth functions by deep neural networks with sigmoid
  activation function
Approximating smooth functions by deep neural networks with sigmoid activation function
S. Langer
24
66
0
08 Oct 2020
Explaining Deep Neural Networks
Explaining Deep Neural Networks
Oana-Maria Camburu
XAI
FAtt
33
26
0
04 Oct 2020
Deep Equals Shallow for ReLU Networks in Kernel Regimes
Deep Equals Shallow for ReLU Networks in Kernel Regimes
A. Bietti
Francis R. Bach
30
86
0
30 Sep 2020
Grow-Push-Prune: aligning deep discriminants for effective structural
  network compression
Grow-Push-Prune: aligning deep discriminants for effective structural network compression
Qing Tian
Tal Arbel
James J. Clark
16
8
0
29 Sep 2020
Towards a Mathematical Understanding of Neural Network-Based Machine
  Learning: what we know and what we don't
Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't
E. Weinan
Chao Ma
Stephan Wojtowytsch
Lei Wu
AI4CE
22
133
0
22 Sep 2020
Review: Deep Learning in Electron Microscopy
Review: Deep Learning in Electron Microscopy
Jeffrey M. Ede
34
79
0
17 Sep 2020
Error estimate for a universal function approximator of ReLU network
  with a local connection
Error estimate for a universal function approximator of ReLU network with a local connection
Jaeyeon Kang
Sunghwan Moon
11
0
0
03 Sep 2020
When Hardness of Approximation Meets Hardness of Learning
When Hardness of Approximation Meets Hardness of Learning
Eran Malach
Shai Shalev-Shwartz
16
9
0
18 Aug 2020
Analyzing Upper Bounds on Mean Absolute Errors for Deep Neural Network
  Based Vector-to-Vector Regression
Analyzing Upper Bounds on Mean Absolute Errors for Deep Neural Network Based Vector-to-Vector Regression
Jun Qi
Jun Du
Sabato Marco Siniscalchi
Xiaoli Ma
Chin-Hui Lee
30
41
0
04 Aug 2020
Deep frequency principle towards understanding why deeper learning is
  faster
Deep frequency principle towards understanding why deeper learning is faster
Zhi-Qin John Xu
Hanxu Zhou
21
44
0
28 Jul 2020
Depth separation for reduced deep networks in nonlinear model reduction:
  Distilling shock waves in nonlinear hyperbolic problems
Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems
Donsub Rim
Luca Venturi
Joan Bruna
Benjamin Peherstorfer
28
9
0
28 Jul 2020
EagerNet: Early Predictions of Neural Networks for Computationally
  Efficient Intrusion Detection
EagerNet: Early Predictions of Neural Networks for Computationally Efficient Intrusion Detection
Fares Meghdouri
Maximilian Bachl
Tanja Zseby
21
3
0
27 Jul 2020
Rewiring the Transformer with Depth-Wise LSTMs
Rewiring the Transformer with Depth-Wise LSTMs
Hongfei Xu
Yang Song
Qiuhui Liu
Josef van Genabith
Deyi Xiong
42
6
0
13 Jul 2020
Expressivity of Deep Neural Networks
Expressivity of Deep Neural Networks
Ingo Gühring
Mones Raslan
Gitta Kutyniok
16
51
0
09 Jul 2020
Non-Homogeneous Poisson Process Intensity Modeling and Estimation using
  Measure Transport
Non-Homogeneous Poisson Process Intensity Modeling and Estimation using Measure Transport
T. L. J. Ng
A. Zammit‐Mangion
6
6
0
01 Jul 2020
Composed Fine-Tuning: Freezing Pre-Trained Denoising Autoencoders for
  Improved Generalization
Composed Fine-Tuning: Freezing Pre-Trained Denoising Autoencoders for Improved Generalization
Sang Michael Xie
Tengyu Ma
Percy Liang
35
13
0
29 Jun 2020
Towards Understanding Hierarchical Learning: Benefits of Neural
  Representations
Towards Understanding Hierarchical Learning: Benefits of Neural Representations
Minshuo Chen
Yu Bai
J. Lee
T. Zhao
Huan Wang
Caiming Xiong
R. Socher
SSL
10
48
0
24 Jun 2020
The Depth-to-Width Interplay in Self-Attention
The Depth-to-Width Interplay in Self-Attention
Yoav Levine
Noam Wies
Or Sharir
Hofit Bata
Amnon Shashua
30
45
0
22 Jun 2020
No one-hidden-layer neural network can represent multivariable functions
No one-hidden-layer neural network can represent multivariable functions
Masayo Inoue
Mana Futamura
H. Ninomiya
MLT
6
0
0
19 Jun 2020
Image Response Regression via Deep Neural Networks
Image Response Regression via Deep Neural Networks
Daiwei Zhang
Lexin Li
Chandra S. Sripada
Jian Kang
14
7
0
17 Jun 2020
Measuring Model Complexity of Neural Networks with Curve Activation
  Functions
Measuring Model Complexity of Neural Networks with Curve Activation Functions
X. Hu
Weiqing Liu
Jiang Bian
J. Pei
14
20
0
16 Jun 2020
Minimum Width for Universal Approximation
Minimum Width for Universal Approximation
Sejun Park
Chulhee Yun
Jaeho Lee
Jinwoo Shin
33
121
0
16 Jun 2020
Recent Advances in 3D Object and Hand Pose Estimation
Recent Advances in 3D Object and Hand Pose Estimation
Vincent Lepetit
3DH
37
14
0
10 Jun 2020
Approximating Lipschitz continuous functions with GroupSort neural
  networks
Approximating Lipschitz continuous functions with GroupSort neural networks
Ugo Tanielian
Maxime Sangnier
Gérard Biau
19
36
0
09 Jun 2020
Liquid Time-constant Networks
Liquid Time-constant Networks
Ramin Hasani
Mathias Lechner
Alexander Amini
Daniela Rus
Radu Grosu
AI4TS
AI4CE
24
215
0
08 Jun 2020
Sharp Representation Theorems for ReLU Networks with Precise Dependence
  on Depth
Sharp Representation Theorems for ReLU Networks with Precise Dependence on Depth
Guy Bresler
Dheeraj M. Nagaraj
11
21
0
07 Jun 2020
Neural Networks with Small Weights and Depth-Separation Barriers
Neural Networks with Small Weights and Depth-Separation Barriers
Gal Vardi
Ohad Shamir
8
18
0
31 May 2020
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
Physically interpretable machine learning algorithm on multidimensional
  non-linear fields
Physically interpretable machine learning algorithm on multidimensional non-linear fields
Rem-Sophia Mouradi
C. Goeury
O. Thual
F. Zaoui
P. Tassi
OOD
4
7
0
28 May 2020
Is deeper better? It depends on locality of relevant features
Is deeper better? It depends on locality of relevant features
Takashi Mori
Masahito Ueda
OOD
25
4
0
26 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
19
0
0
18 May 2020
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural
  networks: perspectives from the theory of controlled diffusions and measures
  on path space
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space
Nikolas Nusken
Lorenz Richter
AI4CE
19
104
0
11 May 2020
A survey on modern trainable activation functions
A survey on modern trainable activation functions
Andrea Apicella
Francesco Donnarumma
Francesco Isgrò
R. Prevete
36
366
0
02 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
23
129
0
30 Apr 2020
A Universal Approximation Theorem of Deep Neural Networks for Expressing
  Probability Distributions
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions
Yulong Lu
Jianfeng Lu
18
19
0
19 Apr 2020
Universal Approximation on the Hypersphere
Universal Approximation on the Hypersphere
T. L. J. Ng
Kwok-Kun Kwong
18
3
0
14 Apr 2020
Depth Selection for Deep ReLU Nets in Feature Extraction and
  Generalization
Depth Selection for Deep ReLU Nets in Feature Extraction and Generalization
Zhi Han
Siquan Yu
Shao-Bo Lin
Ding-Xuan Zhou
OOD
11
38
0
01 Apr 2020
Depth Enables Long-Term Memory for Recurrent Neural Networks
Depth Enables Long-Term Memory for Recurrent Neural Networks
A. Ziv
16
0
0
23 Mar 2020
Overall error analysis for the training of deep neural networks via
  stochastic gradient descent with random initialisation
Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation
Arnulf Jentzen
Timo Welti
22
15
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
20
15
0
02 Mar 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
21
16
0
16 Feb 2020
Quasi-Equivalence of Width and Depth of Neural Networks
Quasi-Equivalence of Width and Depth of Neural Networks
Fenglei Fan
Rongjie Lai
Ge Wang
22
11
0
06 Feb 2020
A Deep Conditioning Treatment of Neural Networks
A Deep Conditioning Treatment of Neural Networks
Naman Agarwal
Pranjal Awasthi
Satyen Kale
AI4CE
25
15
0
04 Feb 2020
DNNs as Layers of Cooperating Classifiers
DNNs as Layers of Cooperating Classifiers
Marelie Hattingh Davel
Marthinus W. Theunissen
Arnold M. Pretorius
E. Barnard
11
7
0
17 Jan 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
19
1
0
13 Jan 2020
On Interpretability of Artificial Neural Networks: A Survey
On Interpretability of Artificial Neural Networks: A Survey
Fenglei Fan
Jinjun Xiong
Mengzhou Li
Ge Wang
AAML
AI4CE
38
300
0
08 Jan 2020
From Shallow to Deep Interactions Between Knowledge Representation,
  Reasoning and Machine Learning (Kay R. Amel group)
From Shallow to Deep Interactions Between Knowledge Representation, Reasoning and Machine Learning (Kay R. Amel group)
Zied Bouraoui
Antoine Cornuéjols
Thierry Denoeux
Sebastien Destercke
Didier Dubois
...
Jérôme Mengin
H. Prade
Steven Schockaert
M. Serrurier
Christel Vrain
21
13
0
13 Dec 2019
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
Tianlin Li
17
21
0
09 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
19
13
0
03 Dec 2019
Thick-Net: Parallel Network Structure for Sequential Modeling
Thick-Net: Parallel Network Structure for Sequential Modeling
Yu-Xuan Li
Jin-Yuan Liu
Liang Li
Xiang Guan
9
0
0
19 Nov 2019
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