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A Universal Law of Robustness via Isoperimetry

A Universal Law of Robustness via Isoperimetry

26 May 2021
Sébastien Bubeck
Mark Sellke
ArXivPDFHTML

Papers citing "A Universal Law of Robustness via Isoperimetry"

27 / 27 papers shown
Title
Do Large Language Models (Really) Need Statistical Foundations?
Do Large Language Models (Really) Need Statistical Foundations?
Weijie Su
259
0
0
25 May 2025
Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
Simone Bombari
Marco Mondelli
198
0
0
03 Feb 2025
On the uncertainty principle of neural networks
On the uncertainty principle of neural networks
Jun-Jie Zhang
Dong-xiao Zhang
Jian-Nan Chen
L. Pang
Deyu Meng
103
2
0
17 Jan 2025
Adversarial Training Can Provably Improve Robustness: Theoretical Analysis of Feature Learning Process Under Structured Data
Adversarial Training Can Provably Improve Robustness: Theoretical Analysis of Feature Learning Process Under Structured Data
Binghui Li
Yuanzhi Li
OOD
64
3
0
11 Oct 2024
The Intrinsic Dimension of Images and Its Impact on Learning
The Intrinsic Dimension of Images and Its Impact on Learning
Phillip E. Pope
Chen Zhu
Ahmed Abdelkader
Micah Goldblum
Tom Goldstein
231
271
0
18 Apr 2021
Uncovering the Limits of Adversarial Training against Norm-Bounded
  Adversarial Examples
Uncovering the Limits of Adversarial Training against Norm-Bounded Adversarial Examples
Sven Gowal
Chongli Qin
J. Uesato
Timothy A. Mann
Pushmeet Kohli
AAML
52
331
0
07 Oct 2020
A law of robustness for two-layers neural networks
A law of robustness for two-layers neural networks
Sébastien Bubeck
Yuanzhi Li
Dheeraj M. Nagaraj
71
57
0
30 Sep 2020
Overfitting in adversarially robust deep learning
Overfitting in adversarially robust deep learning
Leslie Rice
Eric Wong
Zico Kolter
99
801
0
26 Feb 2020
Deep Double Descent: Where Bigger Models and More Data Hurt
Deep Double Descent: Where Bigger Models and More Data Hurt
Preetum Nakkiran
Gal Kaplun
Yamini Bansal
Tristan Yang
Boaz Barak
Ilya Sutskever
121
942
0
04 Dec 2019
The generalization error of random features regression: Precise
  asymptotics and double descent curve
The generalization error of random features regression: Precise asymptotics and double descent curve
Song Mei
Andrea Montanari
83
635
0
14 Aug 2019
Benign Overfitting in Linear Regression
Benign Overfitting in Linear Regression
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
80
776
0
26 Jun 2019
Convergence of Adversarial Training in Overparametrized Neural Networks
Convergence of Adversarial Training in Overparametrized Neural Networks
Ruiqi Gao
Tianle Cai
Haochuan Li
Liwei Wang
Cho-Jui Hsieh
Jason D. Lee
AAML
96
109
0
19 Jun 2019
Reconciling modern machine learning practice and the bias-variance
  trade-off
Reconciling modern machine learning practice and the bias-variance trade-off
M. Belkin
Daniel J. Hsu
Siyuan Ma
Soumik Mandal
232
1,650
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
36
6
0
28 Dec 2018
Rademacher Complexity for Adversarially Robust Generalization
Rademacher Complexity for Adversarially Robust Generalization
Dong Yin
Kannan Ramchandran
Peter L. Bartlett
AAML
89
260
0
29 Oct 2018
Small ReLU networks are powerful memorizers: a tight analysis of
  memorization capacity
Small ReLU networks are powerful memorizers: a tight analysis of memorization capacity
Chulhee Yun
S. Sra
Ali Jadbabaie
113
118
0
17 Oct 2018
Estimating the intrinsic dimension of datasets by a minimal neighborhood
  information
Estimating the intrinsic dimension of datasets by a minimal neighborhood information
Elena Facco
M. d’Errico
Alex Rodriguez
Alessandro Laio
46
327
0
19 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
93
440
0
23 Feb 2018
Spectral Normalization for Generative Adversarial Networks
Spectral Normalization for Generative Adversarial Networks
Takeru Miyato
Toshiki Kataoka
Masanori Koyama
Yuichi Yoshida
ODL
155
4,440
0
16 Feb 2018
Spectrally-normalized margin bounds for neural networks
Spectrally-normalized margin bounds for neural networks
Peter L. Bartlett
Dylan J. Foster
Matus Telgarsky
ODL
202
1,220
0
26 Jun 2017
Towards Deep Learning Models Resistant to Adversarial Attacks
Towards Deep Learning Models Resistant to Adversarial Attacks
Aleksander Madry
Aleksandar Makelov
Ludwig Schmidt
Dimitris Tsipras
Adrian Vladu
SILM
OOD
307
12,069
0
19 Jun 2017
Spectral Norm Regularization for Improving the Generalizability of Deep
  Learning
Spectral Norm Regularization for Improving the Generalizability of Deep Learning
Yuichi Yoshida
Takeru Miyato
79
334
0
31 May 2017
Parseval Networks: Improving Robustness to Adversarial Examples
Parseval Networks: Improving Robustness to Adversarial Examples
Moustapha Cissé
Piotr Bojanowski
Edouard Grave
Yann N. Dauphin
Nicolas Usunier
AAML
138
807
0
28 Apr 2017
Efficient Orthogonal Parametrisation of Recurrent Neural Networks Using
  Householder Reflections
Efficient Orthogonal Parametrisation of Recurrent Neural Networks Using Householder Reflections
Zakaria Mhammedi
Andrew D. Hellicar
Ashfaqur Rahman
James Bailey
87
129
0
01 Dec 2016
Unitary Evolution Recurrent Neural Networks
Unitary Evolution Recurrent Neural Networks
Martín Arjovsky
Amar Shah
Yoshua Bengio
ODL
75
770
0
20 Nov 2015
Distilling the Knowledge in a Neural Network
Distilling the Knowledge in a Neural Network
Geoffrey E. Hinton
Oriol Vinyals
J. Dean
FedML
362
19,660
0
09 Mar 2015
Testing the Manifold Hypothesis
Testing the Manifold Hypothesis
Charles Fefferman
S. Mitter
Hariharan Narayanan
151
534
0
01 Oct 2013
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