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Spectrally-normalized margin bounds for neural networks

Spectrally-normalized margin bounds for neural networks

26 June 2017
Peter L. Bartlett
Dylan J. Foster
Matus Telgarsky
    ODL
ArXivPDFHTML

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

50 / 803 papers shown
Title
On Tighter Generalization Bound for Deep Neural Networks: CNNs, ResNets,
  and Beyond
On Tighter Generalization Bound for Deep Neural Networks: CNNs, ResNets, and Beyond
Xingguo Li
Junwei Lu
Zhaoran Wang
Jarvis D. Haupt
T. Zhao
25
78
0
13 Jun 2018
Data augmentation instead of explicit regularization
Data augmentation instead of explicit regularization
Alex Hernández-García
Peter König
30
141
0
11 Jun 2018
Randomized Prior Functions for Deep Reinforcement Learning
Randomized Prior Functions for Deep Reinforcement Learning
Ian Osband
John Aslanides
Albin Cassirer
UQCV
BDL
14
373
0
08 Jun 2018
Universal Statistics of Fisher Information in Deep Neural Networks: Mean
  Field Approach
Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach
Ryo Karakida
S. Akaho
S. Amari
FedML
27
140
0
04 Jun 2018
Minnorm training: an algorithm for training over-parameterized deep
  neural networks
Minnorm training: an algorithm for training over-parameterized deep neural networks
Yamini Bansal
Madhu S. Advani
David D. Cox
Andrew M. Saxe
ODL
13
18
0
03 Jun 2018
Interpreting Deep Learning: The Machine Learning Rorschach Test?
Interpreting Deep Learning: The Machine Learning Rorschach Test?
Adam S. Charles
AAML
HAI
AI4CE
19
9
0
01 Jun 2018
Representational Power of ReLU Networks and Polynomial Kernels: Beyond
  Worst-Case Analysis
Representational Power of ReLU Networks and Polynomial Kernels: Beyond Worst-Case Analysis
Frederic Koehler
Andrej Risteski
11
12
0
29 May 2018
Lipschitz regularity of deep neural networks: analysis and efficient
  estimation
Lipschitz regularity of deep neural networks: analysis and efficient estimation
Kevin Scaman
Aladin Virmaux
17
515
0
28 May 2018
The Singular Values of Convolutional Layers
The Singular Values of Convolutional Layers
Hanie Sedghi
Vineet Gupta
Philip M. Long
FAtt
31
200
0
26 May 2018
Step Size Matters in Deep Learning
Step Size Matters in Deep Learning
Kamil Nar
S. Shankar Sastry
11
41
0
22 May 2018
Deep learning generalizes because the parameter-function map is biased
  towards simple functions
Deep learning generalizes because the parameter-function map is biased towards simple functions
Guillermo Valle Pérez
Chico Q. Camargo
A. Louis
MLT
AI4CE
16
225
0
22 May 2018
How Many Samples are Needed to Estimate a Convolutional or Recurrent
  Neural Network?
How Many Samples are Needed to Estimate a Convolutional or Recurrent Neural Network?
S. Du
Yining Wang
Xiyu Zhai
Sivaraman Balakrishnan
Ruslan Salakhutdinov
Aarti Singh
SSL
13
57
0
21 May 2018
A Study on Overfitting in Deep Reinforcement Learning
A Study on Overfitting in Deep Reinforcement Learning
Chiyuan Zhang
Oriol Vinyals
Rémi Munos
Samy Bengio
OffRL
OnRL
16
383
0
18 Apr 2018
Non-Vacuous Generalization Bounds at the ImageNet Scale: A PAC-Bayesian
  Compression Approach
Non-Vacuous Generalization Bounds at the ImageNet Scale: A PAC-Bayesian Compression Approach
Wenda Zhou
Victor Veitch
Morgane Austern
Ryan P. Adams
Peter Orbanz
27
209
0
16 Apr 2018
Data-Dependent Coresets for Compressing Neural Networks with
  Applications to Generalization Bounds
Data-Dependent Coresets for Compressing Neural Networks with Applications to Generalization Bounds
Cenk Baykal
Lucas Liebenwein
Igor Gilitschenski
Dan Feldman
Daniela Rus
10
79
0
15 Apr 2018
Regularisation of Neural Networks by Enforcing Lipschitz Continuity
Regularisation of Neural Networks by Enforcing Lipschitz Continuity
H. Gouk
E. Frank
Bernhard Pfahringer
M. Cree
10
466
0
12 Apr 2018
Stabilizing Gradients for Deep Neural Networks via Efficient SVD
  Parameterization
Stabilizing Gradients for Deep Neural Networks via Efficient SVD Parameterization
Jiong Zhang
Qi Lei
Inderjit S. Dhillon
12
110
0
25 Mar 2018
Residual Networks: Lyapunov Stability and Convex Decomposition
Residual Networks: Lyapunov Stability and Convex Decomposition
Kamil Nar
S. Shankar Sastry
ODL
14
3
0
22 Mar 2018
Information Theoretic Interpretation of Deep learning
Information Theoretic Interpretation of Deep learning
Tianchen Zhao
FAtt
18
2
0
21 Mar 2018
FeTa: A DCA Pruning Algorithm with Generalization Error Guarantees
FeTa: A DCA Pruning Algorithm with Generalization Error Guarantees
Konstantinos Pitas
Mike Davies
P. Vandergheynst
13
2
0
12 Mar 2018
On the Power of Over-parametrization in Neural Networks with Quadratic
  Activation
On the Power of Over-parametrization in Neural Networks with Quadratic Activation
S. Du
J. Lee
16
267
0
03 Mar 2018
Sensitivity and Generalization in Neural Networks: an Empirical Study
Sensitivity and Generalization in Neural Networks: an Empirical Study
Roman Novak
Yasaman Bahri
Daniel A. Abolafia
Jeffrey Pennington
Jascha Narain Sohl-Dickstein
AAML
13
435
0
23 Feb 2018
Asynchronous Byzantine Machine Learning (the case of SGD)
Asynchronous Byzantine Machine Learning (the case of SGD)
Georgios Damaskinos
El-Mahdi El-Mhamdi
R. Guerraoui
Rhicheek Patra
Mahsa Taziki
FedML
26
42
0
22 Feb 2018
L2-Nonexpansive Neural Networks
L2-Nonexpansive Neural Networks
Haifeng Qian
M. Wegman
17
74
0
22 Feb 2018
Generalization in Machine Learning via Analytical Learning Theory
Generalization in Machine Learning via Analytical Learning Theory
Kenji Kawaguchi
Yoshua Bengio
Vikas Verma
Leslie Pack Kaelbling
19
10
0
21 Feb 2018
Generalization Error Bounds with Probabilistic Guarantee for SGD in
  Nonconvex Optimization
Generalization Error Bounds with Probabilistic Guarantee for SGD in Nonconvex Optimization
Yi Zhou
Yingbin Liang
Huishuai Zhang
MLT
21
26
0
19 Feb 2018
Guaranteed Recovery of One-Hidden-Layer Neural Networks via Cross
  Entropy
Guaranteed Recovery of One-Hidden-Layer Neural Networks via Cross Entropy
H. Fu
Yuejie Chi
Yingbin Liang
FedML
16
39
0
18 Feb 2018
The Role of Information Complexity and Randomization in Representation
  Learning
The Role of Information Complexity and Randomization in Representation Learning
Matías Vera
Pablo Piantanida
L. Rey Vega
35
14
0
14 Feb 2018
Stronger generalization bounds for deep nets via a compression approach
Stronger generalization bounds for deep nets via a compression approach
Sanjeev Arora
Rong Ge
Behnam Neyshabur
Yi Zhang
MLT
AI4CE
19
630
0
14 Feb 2018
Towards Understanding the Generalization Bias of Two Layer Convolutional
  Linear Classifiers with Gradient Descent
Towards Understanding the Generalization Bias of Two Layer Convolutional Linear Classifiers with Gradient Descent
Yifan Wu
Barnabás Póczós
Aarti Singh
MLT
19
8
0
13 Feb 2018
Lipschitz-Margin Training: Scalable Certification of Perturbation
  Invariance for Deep Neural Networks
Lipschitz-Margin Training: Scalable Certification of Perturbation Invariance for Deep Neural Networks
Yusuke Tsuzuku
Issei Sato
Masashi Sugiyama
AAML
33
296
0
12 Feb 2018
To understand deep learning we need to understand kernel learning
To understand deep learning we need to understand kernel learning
M. Belkin
Siyuan Ma
Soumik Mandal
11
414
0
05 Feb 2018
Learning Compact Neural Networks with Regularization
Learning Compact Neural Networks with Regularization
Samet Oymak
MLT
35
39
0
05 Feb 2018
Fix your classifier: the marginal value of training the last weight
  layer
Fix your classifier: the marginal value of training the last weight layer
Elad Hoffer
Itay Hubara
Daniel Soudry
27
101
0
14 Jan 2018
Theory of Deep Learning III: explaining the non-overfitting puzzle
Theory of Deep Learning III: explaining the non-overfitting puzzle
T. Poggio
Kenji Kawaguchi
Q. Liao
Brando Miranda
Lorenzo Rosasco
Xavier Boix
Jack Hidary
H. Mhaskar
ODL
16
128
0
30 Dec 2017
Entropy-SGD optimizes the prior of a PAC-Bayes bound: Generalization
  properties of Entropy-SGD and data-dependent priors
Entropy-SGD optimizes the prior of a PAC-Bayes bound: Generalization properties of Entropy-SGD and data-dependent priors
Gintare Karolina Dziugaite
Daniel M. Roy
MLT
22
144
0
26 Dec 2017
Algorithmic Regularization in Over-parameterized Matrix Sensing and
  Neural Networks with Quadratic Activations
Algorithmic Regularization in Over-parameterized Matrix Sensing and Neural Networks with Quadratic Activations
Yuanzhi Li
Tengyu Ma
Hongyang R. Zhang
18
31
0
26 Dec 2017
The Power of Interpolation: Understanding the Effectiveness of SGD in
  Modern Over-parametrized Learning
The Power of Interpolation: Understanding the Effectiveness of SGD in Modern Over-parametrized Learning
Siyuan Ma
Raef Bassily
M. Belkin
19
285
0
18 Dec 2017
Size-Independent Sample Complexity of Neural Networks
Size-Independent Sample Complexity of Neural Networks
Noah Golowich
Alexander Rakhlin
Ohad Shamir
19
543
0
18 Dec 2017
On the Discrimination-Generalization Tradeoff in GANs
On the Discrimination-Generalization Tradeoff in GANs
Pengchuan Zhang
Qiang Liu
Dengyong Zhou
Tao Xu
Xiaodong He
16
103
0
07 Nov 2017
Fisher-Rao Metric, Geometry, and Complexity of Neural Networks
Fisher-Rao Metric, Geometry, and Complexity of Neural Networks
Tengyuan Liang
T. Poggio
Alexander Rakhlin
J. Stokes
25
224
0
05 Nov 2017
Network-size independent covering number bounds for deep networks
Mayank Kabra
K. Branson
16
0
0
02 Nov 2017
Certifying Some Distributional Robustness with Principled Adversarial
  Training
Certifying Some Distributional Robustness with Principled Adversarial Training
Aman Sinha
Hongseok Namkoong
Riccardo Volpi
John C. Duchi
OOD
38
854
0
29 Oct 2017
SGD Learns Over-parameterized Networks that Provably Generalize on
  Linearly Separable Data
SGD Learns Over-parameterized Networks that Provably Generalize on Linearly Separable Data
Alon Brutzkus
Amir Globerson
Eran Malach
Shai Shalev-Shwartz
MLT
37
276
0
27 Oct 2017
Rethinking generalization requires revisiting old ideas: statistical
  mechanics approaches and complex learning behavior
Rethinking generalization requires revisiting old ideas: statistical mechanics approaches and complex learning behavior
Charles H. Martin
Michael W. Mahoney
AI4CE
22
62
0
26 Oct 2017
mixup: Beyond Empirical Risk Minimization
mixup: Beyond Empirical Risk Minimization
Hongyi Zhang
Moustapha Cissé
Yann N. Dauphin
David Lopez-Paz
NoLa
52
9,587
0
25 Oct 2017
Implicit Regularization in Deep Learning
Implicit Regularization in Deep Learning
Behnam Neyshabur
17
145
0
06 Sep 2017
The duality structure gradient descent algorithm: analysis and
  applications to neural networks
The duality structure gradient descent algorithm: analysis and applications to neural networks
Thomas Flynn
12
1
0
01 Aug 2017
A PAC-Bayesian Approach to Spectrally-Normalized Margin Bounds for
  Neural Networks
A PAC-Bayesian Approach to Spectrally-Normalized Margin Bounds for Neural Networks
Behnam Neyshabur
Srinadh Bhojanapalli
Nathan Srebro
14
600
0
29 Jul 2017
Theoretical insights into the optimization landscape of
  over-parameterized shallow neural networks
Theoretical insights into the optimization landscape of over-parameterized shallow neural networks
Mahdi Soltanolkotabi
Adel Javanmard
J. Lee
27
414
0
16 Jul 2017
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