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Norm-Based Capacity Control in Neural Networks
v1v2 (latest)

Norm-Based Capacity Control in Neural Networks

27 February 2015
Behnam Neyshabur
Ryota Tomioka
Nathan Srebro
ArXiv (abs)PDFHTML

Papers citing "Norm-Based Capacity Control in Neural Networks"

50 / 407 papers shown
Title
Compression based bound for non-compressed network: unified
  generalization error analysis of large compressible deep neural network
Compression based bound for non-compressed network: unified generalization error analysis of large compressible deep neural network
Taiji Suzuki
Hiroshi Abe
Tomoaki Nishimura
AI4CE
72
44
0
25 Sep 2019
Deep Neural Networks for Choice Analysis: Architectural Design with
  Alternative-Specific Utility Functions
Deep Neural Networks for Choice Analysis: Architectural Design with Alternative-Specific Utility Functions
Shenhao Wang
Baichuan Mo
Jinhua Zhao
20
1
0
16 Sep 2019
Towards Better Generalization: BP-SVRG in Training Deep Neural Networks
Towards Better Generalization: BP-SVRG in Training Deep Neural Networks
Hao Jin
Dachao Lin
Zhihua Zhang
ODL
40
2
0
18 Aug 2019
Fast generalization error bound of deep learning without scale
  invariance of activation functions
Fast generalization error bound of deep learning without scale invariance of activation functions
Y. Terada
Ryoma Hirose
MLT
33
7
0
25 Jul 2019
Are deep ResNets provably better than linear predictors?
Are deep ResNets provably better than linear predictors?
Chulhee Yun
S. Sra
Ali Jadbabaie
127
12
0
09 Jul 2019
Benign Overfitting in Linear Regression
Benign Overfitting in Linear Regression
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
126
780
0
26 Jun 2019
Dynamics of stochastic gradient descent for two-layer neural networks in
  the teacher-student setup
Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup
Sebastian Goldt
Madhu S. Advani
Andrew M. Saxe
Florent Krzakala
Lenka Zdeborová
MLT
140
145
0
18 Jun 2019
Stable Rank Normalization for Improved Generalization in Neural Networks
  and GANs
Stable Rank Normalization for Improved Generalization in Neural Networks and GANs
Amartya Sanyal
Philip Torr
P. Dokania
110
49
0
11 Jun 2019
Network Implosion: Effective Model Compression for ResNets via Static
  Layer Pruning and Retraining
Network Implosion: Effective Model Compression for ResNets via Static Layer Pruning and Retraining
Yasutoshi Ida
Yasuhiro Fujiwara
46
1
0
10 Jun 2019
Understanding Generalization through Visualizations
Understanding Generalization through Visualizations
Wenjie Huang
Z. Emam
Micah Goldblum
Liam H. Fowl
J. K. Terry
Furong Huang
Tom Goldstein
AI4CE
51
80
0
07 Jun 2019
Inductive Bias of Gradient Descent based Adversarial Training on
  Separable Data
Inductive Bias of Gradient Descent based Adversarial Training on Separable Data
Yan Li
Ethan X. Fang
Huan Xu
T. Zhao
92
16
0
07 Jun 2019
Adversarial Training is a Form of Data-dependent Operator Norm
  Regularization
Adversarial Training is a Form of Data-dependent Operator Norm Regularization
Kevin Roth
Yannic Kilcher
Thomas Hofmann
58
13
0
04 Jun 2019
What Can Neural Networks Reason About?
What Can Neural Networks Reason About?
Keyulu Xu
Jingling Li
Mozhi Zhang
S. Du
Ken-ichi Kawarabayashi
Stefanie Jegelka
NAIAI4CE
106
248
0
30 May 2019
Generalization Bounds of Stochastic Gradient Descent for Wide and Deep
  Neural Networks
Generalization Bounds of Stochastic Gradient Descent for Wide and Deep Neural Networks
Yuan Cao
Quanquan Gu
MLTAI4CE
125
392
0
30 May 2019
MaxiMin Active Learning in Overparameterized Model Classes}
MaxiMin Active Learning in Overparameterized Model Classes}
Mina Karzand
Robert D. Nowak
51
20
0
29 May 2019
Generalization bounds for deep convolutional neural networks
Generalization bounds for deep convolutional neural networks
Philip M. Long
Hanie Sedghi
MLT
136
90
0
29 May 2019
Norm-based generalisation bounds for multi-class convolutional neural
  networks
Norm-based generalisation bounds for multi-class convolutional neural networks
Antoine Ledent
Waleed Mustafa
Yunwen Lei
Marius Kloft
66
5
0
29 May 2019
On Dropout and Nuclear Norm Regularization
On Dropout and Nuclear Norm Regularization
Poorya Mianjy
R. Arora
143
23
0
28 May 2019
SGD on Neural Networks Learns Functions of Increasing Complexity
SGD on Neural Networks Learns Functions of Increasing Complexity
Preetum Nakkiran
Gal Kaplun
Dimitris Kalimeris
Tristan Yang
Benjamin L. Edelman
Fred Zhang
Boaz Barak
MLT
144
248
0
28 May 2019
Fast Convergence of Natural Gradient Descent for Overparameterized
  Neural Networks
Fast Convergence of Natural Gradient Descent for Overparameterized Neural Networks
Guodong Zhang
James Martens
Roger C. Grosse
ODL
113
126
0
27 May 2019
What Can ResNet Learn Efficiently, Going Beyond Kernels?
What Can ResNet Learn Efficiently, Going Beyond Kernels?
Zeyuan Allen-Zhu
Yuanzhi Li
416
183
0
24 May 2019
The role of invariance in spectral complexity-based generalization
  bounds
The role of invariance in spectral complexity-based generalization bounds
Konstantinos Pitas
Andreas Loukas
Mike Davies
P. Vandergheynst
BDL
26
1
0
23 May 2019
Fine-grained Optimization of Deep Neural Networks
Fine-grained Optimization of Deep Neural Networks
Mete Ozay
ODL
57
2
0
22 May 2019
Data-dependent Sample Complexity of Deep Neural Networks via Lipschitz
  Augmentation
Data-dependent Sample Complexity of Deep Neural Networks via Lipschitz Augmentation
Colin Wei
Tengyu Ma
87
110
0
09 May 2019
Sparseout: Controlling Sparsity in Deep Networks
Sparseout: Controlling Sparsity in Deep Networks
Najeeb Khan
Ian Stavness
BDL
39
9
0
17 Apr 2019
A Selective Overview of Deep Learning
A Selective Overview of Deep Learning
Jianqing Fan
Cong Ma
Yiqiao Zhong
BDLVLM
206
135
0
10 Apr 2019
Analysis of the Gradient Descent Algorithm for a Deep Neural Network
  Model with Skip-connections
Analysis of the Gradient Descent Algorithm for a Deep Neural Network Model with Skip-connections
E. Weinan
Chao Ma
Qingcan Wang
Lei Wu
MLT
108
22
0
10 Apr 2019
Limiting Network Size within Finite Bounds for Optimization
Limiting Network Size within Finite Bounds for Optimization
Linu Pinto
Sasi Gopalan
41
2
0
07 Mar 2019
A Priori Estimates of the Population Risk for Residual Networks
A Priori Estimates of the Population Risk for Residual Networks
E. Weinan
Chao Ma
Qingcan Wang
UQCV
103
61
0
06 Mar 2019
How do infinite width bounded norm networks look in function space?
How do infinite width bounded norm networks look in function space?
Pedro H. P. Savarese
Itay Evron
Daniel Soudry
Nathan Srebro
94
166
0
13 Feb 2019
Uniform convergence may be unable to explain generalization in deep
  learning
Uniform convergence may be unable to explain generalization in deep learning
Vaishnavh Nagarajan
J. Zico Kolter
MoMeAI4CE
98
317
0
13 Feb 2019
Generalization Error Bounds of Gradient Descent for Learning
  Over-parameterized Deep ReLU Networks
Generalization Error Bounds of Gradient Descent for Learning Over-parameterized Deep ReLU Networks
Yuan Cao
Quanquan Gu
ODLMLTAI4CE
151
158
0
04 Feb 2019
Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using
  Total Path Variation
Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using Total Path Variation
Andrew R. Barron
Jason M. Klusowski
108
30
0
02 Feb 2019
On Generalization Error Bounds of Noisy Gradient Methods for Non-Convex
  Learning
On Generalization Error Bounds of Noisy Gradient Methods for Non-Convex Learning
Jian Li
Xuanyuan Luo
Mingda Qiao
73
89
0
02 Feb 2019
Effect of Various Regularizers on Model Complexities of Neural Networks
  in Presence of Input Noise
Effect of Various Regularizers on Model Complexities of Neural Networks in Presence of Input Noise
Mayank Sharma
Aayush Yadav
Sumit Soman
Jayadeva Jayadeva
25
1
0
31 Jan 2019
Generalisation dynamics of online learning in over-parameterised neural
  networks
Generalisation dynamics of online learning in over-parameterised neural networks
Sebastian Goldt
Madhu S. Advani
Andrew M. Saxe
Florent Krzakala
Lenka Zdeborová
46
14
0
25 Jan 2019
Fine-Grained Analysis of Optimization and Generalization for
  Overparameterized Two-Layer Neural Networks
Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks
Sanjeev Arora
S. Du
Wei Hu
Zhiyuan Li
Ruosong Wang
MLT
234
974
0
24 Jan 2019
Heavy-Tailed Universality Predicts Trends in Test Accuracies for Very
  Large Pre-Trained Deep Neural Networks
Heavy-Tailed Universality Predicts Trends in Test Accuracies for Very Large Pre-Trained Deep Neural Networks
Charles H. Martin
Michael W. Mahoney
83
56
0
24 Jan 2019
Generalization in Deep Networks: The Role of Distance from
  Initialization
Generalization in Deep Networks: The Role of Distance from Initialization
Vaishnavh Nagarajan
J. Zico Kolter
ODL
96
96
0
07 Jan 2019
Multitask Learning Deep Neural Networks to Combine Revealed and Stated
  Preference Data
Multitask Learning Deep Neural Networks to Combine Revealed and Stated Preference Data
Shenhao Wang
Qingyi Wang
Jinhuan Zhao
AI4TS
73
21
0
02 Jan 2019
A Theoretical Analysis of Deep Q-Learning
A Theoretical Analysis of Deep Q-Learning
Jianqing Fan
Zhuoran Yang
Yuchen Xie
Zhaoran Wang
203
611
0
01 Jan 2019
Improving Generalization of Deep Neural Networks by Leveraging Margin
  Distribution
Improving Generalization of Deep Neural Networks by Leveraging Margin Distribution
Shen-Huan Lyu
Lu Wang
Zhi Zhou
41
11
0
27 Dec 2018
Learning finite-dimensional coding schemes with nonlinear reconstruction
  maps
Learning finite-dimensional coding schemes with nonlinear reconstruction maps
Jaeho Lee
Maxim Raginsky
58
9
0
23 Dec 2018
On a Sparse Shortcut Topology of Artificial Neural Networks
On a Sparse Shortcut Topology of Artificial Neural Networks
Fenglei Fan
Dayang Wang
Hengtao Guo
Qikui Zhu
Pingkun Yan
Ge Wang
Hengyong Yu
135
22
0
22 Nov 2018
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU
  Networks
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks
Difan Zou
Yuan Cao
Dongruo Zhou
Quanquan Gu
ODL
254
448
0
21 Nov 2018
Generalizable Adversarial Training via Spectral Normalization
Generalizable Adversarial Training via Spectral Normalization
Farzan Farnia
Jesse M. Zhang
David Tse
OODAAML
83
140
0
19 Nov 2018
Sample Compression, Support Vectors, and Generalization in Deep Learning
Sample Compression, Support Vectors, and Generalization in Deep Learning
Christopher Snyder
S. Vishwanath
MLT
75
5
0
05 Nov 2018
Radius-margin bounds for deep neural networks
Radius-margin bounds for deep neural networks
Mayank Sharma
Jayadeva Jayadeva
Sumit Soman
AAML
33
1
0
03 Nov 2018
Minimax Estimation of Neural Net Distance
Minimax Estimation of Neural Net Distance
Kaiyi Ji
Yingbin Liang
GAN
39
9
0
02 Nov 2018
A Priori Estimates of the Population Risk for Two-layer Neural Networks
A Priori Estimates of the Population Risk for Two-layer Neural Networks
Weinan E
Chao Ma
Lei Wu
101
132
0
15 Oct 2018
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