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Spectrally-normalized margin bounds for neural networks
v1v2 (latest)

Spectrally-normalized margin bounds for neural networks

26 June 2017
Peter L. Bartlett
Dylan J. Foster
Matus Telgarsky
    ODL
ArXiv (abs)PDFHTML

Papers citing "Spectrally-normalized margin bounds for neural networks"

50 / 811 papers shown
Title
Orthogonal Statistical Learning
Orthogonal Statistical Learning
Dylan J. Foster
Vasilis Syrgkanis
154
174
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
Cross-Entropy Loss and Low-Rank Features Have Responsibility for
  Adversarial Examples
Cross-Entropy Loss and Low-Rank Features Have Responsibility for Adversarial Examples
Kamil Nar
Orhan Ocal
S. Shankar Sastry
Kannan Ramchandran
AAML
90
54
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
Understanding Geometry of Encoder-Decoder CNNs
Understanding Geometry of Encoder-Decoder CNNs
J. C. Ye
Woon Kyoung Sung
3DVAI4CE
88
74
0
22 Jan 2019
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural
  Networks
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
Zhi-Qin John Xu
Yaoyu Zhang
Yaoyu Zhang
Yan Xiao
Zheng Ma
137
521
0
19 Jan 2019
Normalized Flat Minima: Exploring Scale Invariant Definition of Flat
  Minima for Neural Networks using PAC-Bayesian Analysis
Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks using PAC-Bayesian Analysis
Yusuke Tsuzuku
Issei Sato
Masashi Sugiyama
84
77
0
15 Jan 2019
Tightening Mutual Information Based Bounds on Generalization Error
Tightening Mutual Information Based Bounds on Generalization Error
Yuheng Bu
Shaofeng Zou
Venugopal V. Veeravalli
66
177
0
15 Jan 2019
A Theoretical Analysis of Deep Q-Learning
A Theoretical Analysis of Deep Q-Learning
Jianqing Fan
Zhuoran Yang
Yuchen Xie
Zhaoran Wang
193
611
0
01 Jan 2019
On the Benefit of Width for Neural Networks: Disappearance of Bad Basins
On the Benefit of Width for Neural Networks: Disappearance of Bad Basins
Dawei Li
Tian Ding
Ruoyu Sun
120
38
0
28 Dec 2018
On Computation and Generalization of GANs with Spectrum Control
On Computation and Generalization of GANs with Spectrum Control
Haoming Jiang
Zhehui Chen
Minshuo Chen
Feng Liu
Dingding Wang
T. Zhao
69
6
0
28 Dec 2018
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
Overparameterized Nonlinear Learning: Gradient Descent Takes the
  Shortest Path?
Overparameterized Nonlinear Learning: Gradient Descent Takes the Shortest Path?
Samet Oymak
Mahdi Soltanolkotabi
ODL
73
177
0
25 Dec 2018
Learning finite-dimensional coding schemes with nonlinear reconstruction
  maps
Learning finite-dimensional coding schemes with nonlinear reconstruction maps
Jaeho Lee
Maxim Raginsky
56
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
Analytic Network Learning
Analytic Network Learning
Kar-Ann Toh
44
9
0
20 Nov 2018
Neural Lander: Stable Drone Landing Control using Learned Dynamics
Neural Lander: Stable Drone Landing Control using Learned Dynamics
Guanya Shi
Xichen Shi
Michael O'Connell
Rose Yu
Kamyar Azizzadenesheli
Anima Anandkumar
Yisong Yue
Soon-Jo Chung
115
276
0
19 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
Sorting out Lipschitz function approximation
Sorting out Lipschitz function approximation
Cem Anil
James Lucas
Roger C. Grosse
96
325
0
13 Nov 2018
Theoretical Analysis of Adversarial Learning: A Minimax Approach
Theoretical Analysis of Adversarial Learning: A Minimax Approach
Zhuozhuo Tu
Jingwei Zhang
Dacheng Tao
AAML
72
68
0
13 Nov 2018
Learning and Generalization in Overparameterized Neural Networks, Going
  Beyond Two Layers
Learning and Generalization in Overparameterized Neural Networks, Going Beyond Two Layers
Zeyuan Allen-Zhu
Yuanzhi Li
Yingyu Liang
MLT
223
775
0
12 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
Minimax Estimation of Neural Net Distance
Minimax Estimation of Neural Net Distance
Kaiyi Ji
Yingbin Liang
GAN
39
9
0
02 Nov 2018
A Bayesian Perspective of Convolutional Neural Networks through a
  Deconvolutional Generative Model
A Bayesian Perspective of Convolutional Neural Networks through a Deconvolutional Generative Model
Yujia Wang
Nhat Ho
David J. Miller
Anima Anandkumar
Michael I. Jordan
Richard G. Baraniuk
BDLGAN
96
8
0
01 Nov 2018
Scalable End-to-End Autonomous Vehicle Testing via Rare-event Simulation
Scalable End-to-End Autonomous Vehicle Testing via Rare-event Simulation
Matthew O'Kelly
Aman Sinha
Hongseok Namkoong
John C. Duchi
Russ Tedrake
121
217
0
31 Oct 2018
Rademacher Complexity for Adversarially Robust Generalization
Rademacher Complexity for Adversarially Robust Generalization
Dong Yin
Kannan Ramchandran
Peter L. Bartlett
AAML
105
261
0
29 Oct 2018
RecurJac: An Efficient Recursive Algorithm for Bounding Jacobian Matrix
  of Neural Networks and Its Applications
RecurJac: An Efficient Recursive Algorithm for Bounding Jacobian Matrix of Neural Networks and Its Applications
Huan Zhang
Pengchuan Zhang
Cho-Jui Hsieh
AAML
68
63
0
28 Oct 2018
Uniform Convergence of Gradients for Non-Convex Learning and
  Optimization
Uniform Convergence of Gradients for Non-Convex Learning and Optimization
Dylan J. Foster
Ayush Sekhari
Karthik Sridharan
82
68
0
25 Oct 2018
Sparse DNNs with Improved Adversarial Robustness
Sparse DNNs with Improved Adversarial Robustness
Yiwen Guo
Chao Zhang
Changshui Zhang
Yurong Chen
AAML
98
154
0
23 Oct 2018
Adversarial Risk Bounds via Function Transformation
Adversarial Risk Bounds via Function Transformation
Justin Khim
Po-Ling Loh
AAML
90
50
0
22 Oct 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
92
132
0
15 Oct 2018
Regularization Matters: Generalization and Optimization of Neural Nets
  v.s. their Induced Kernel
Regularization Matters: Generalization and Optimization of Neural Nets v.s. their Induced Kernel
Colin Wei
Jason D. Lee
Qiang Liu
Tengyu Ma
268
245
0
12 Oct 2018
Rethinking Breiman's Dilemma in Neural Networks: Phase Transitions of
  Margin Dynamics
Rethinking Breiman's Dilemma in Neural Networks: Phase Transitions of Margin Dynamics
Weizhi Zhu
Yifei Huang
Yuan Yao
AI4CEOOD
20
1
0
08 Oct 2018
Detecting Memorization in ReLU Networks
Detecting Memorization in ReLU Networks
Edo Collins
Siavash Bigdeli
Sabine Süsstrunk
73
4
0
08 Oct 2018
Generalized No Free Lunch Theorem for Adversarial Robustness
Generalized No Free Lunch Theorem for Adversarial Robustness
Elvis Dohmatob
102
28
0
08 Oct 2018
Gradient descent aligns the layers of deep linear networks
Gradient descent aligns the layers of deep linear networks
Ziwei Ji
Matus Telgarsky
123
257
0
04 Oct 2018
Understanding Weight Normalized Deep Neural Networks with Rectified
  Linear Units
Understanding Weight Normalized Deep Neural Networks with Rectified Linear Units
Yixi Xu
Tianlin Li
MQ
79
12
0
03 Oct 2018
Adversarial Examples - A Complete Characterisation of the Phenomenon
Adversarial Examples - A Complete Characterisation of the Phenomenon
A. Serban
E. Poll
Joost Visser
SILMAAML
102
49
0
02 Oct 2018
Implicit Self-Regularization in Deep Neural Networks: Evidence from
  Random Matrix Theory and Implications for Learning
Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning
Charles H. Martin
Michael W. Mahoney
AI4CE
134
201
0
02 Oct 2018
A Kernel Perspective for Regularizing Deep Neural Networks
A Kernel Perspective for Regularizing Deep Neural Networks
A. Bietti
Grégoire Mialon
Dexiong Chen
Julien Mairal
82
15
0
30 Sep 2018
Predicting the Generalization Gap in Deep Networks with Margin
  Distributions
Predicting the Generalization Gap in Deep Networks with Margin Distributions
Yiding Jiang
Dilip Krishnan
H. Mobahi
Samy Bengio
UQCV
95
199
0
28 Sep 2018
An analytic theory of generalization dynamics and transfer learning in
  deep linear networks
An analytic theory of generalization dynamics and transfer learning in deep linear networks
Andrew Kyle Lampinen
Surya Ganguli
OOD
92
131
0
27 Sep 2018
Capacity Control of ReLU Neural Networks by Basis-path Norm
Capacity Control of ReLU Neural Networks by Basis-path Norm
Shuxin Zheng
Qi Meng
Huishuai Zhang
Wei-neng Chen
Nenghai Yu
Tie-Yan Liu
67
23
0
19 Sep 2018
Maximum-Entropy Fine-Grained Classification
Maximum-Entropy Fine-Grained Classification
Abhimanyu Dubey
O. Gupta
Ramesh Raskar
Nikhil Naik
93
157
0
16 Sep 2018
Approximation and Estimation for High-Dimensional Deep Learning Networks
Approximation and Estimation for High-Dimensional Deep Learning Networks
Andrew R. Barron
Jason M. Klusowski
82
59
0
10 Sep 2018
Analysis of the Generalization Error: Empirical Risk Minimization over
  Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the
  Numerical Approximation of Black-Scholes Partial Differential Equations
Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black-Scholes Partial Differential Equations
Julius Berner
Philipp Grohs
Arnulf Jentzen
118
183
0
09 Sep 2018
Stochastic Gradient Descent Learns State Equations with Nonlinear
  Activations
Stochastic Gradient Descent Learns State Equations with Nonlinear Activations
Samet Oymak
78
43
0
09 Sep 2018
Lipschitz Networks and Distributional Robustness
Lipschitz Networks and Distributional Robustness
Zac Cranko
Simon Kornblith
Zhan Shi
Richard Nock
OOD
63
11
0
04 Sep 2018
Lipschitz regularized Deep Neural Networks generalize and are
  adversarially robust
Lipschitz regularized Deep Neural Networks generalize and are adversarially robust
Chris Finlay
Jeff Calder
Bilal Abbasi
Adam M. Oberman
95
55
0
28 Aug 2018
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