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2105.12806
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A Universal Law of Robustness via Isoperimetry
26 May 2021
Sébastien Bubeck
Mark Sellke
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Papers citing
"A Universal Law of Robustness via Isoperimetry"
27 / 27 papers shown
Title
Do Large Language Models (Really) Need Statistical Foundations?
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Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
Simone Bombari
Marco Mondelli
201
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0
03 Feb 2025
On the uncertainty principle of neural networks
Jun-Jie Zhang
Dong-xiao Zhang
Jian-Nan Chen
L. Pang
Deyu Meng
105
2
0
17 Jan 2025
Adversarial Training Can Provably Improve Robustness: Theoretical Analysis of Feature Learning Process Under Structured Data
Binghui Li
Yuanzhi Li
OOD
66
3
0
11 Oct 2024
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
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
Sébastien Bubeck
Yuanzhi Li
Dheeraj M. Nagaraj
71
57
0
30 Sep 2020
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
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
Song Mei
Andrea Montanari
83
635
0
14 Aug 2019
Benign Overfitting in Linear Regression
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
83
776
0
26 Jun 2019
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
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
Haoming Jiang
Zhehui Chen
Minshuo Chen
Feng Liu
Dingding Wang
T. Zhao
36
6
0
28 Dec 2018
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
Chulhee Yun
S. Sra
Ali Jadbabaie
115
118
0
17 Oct 2018
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
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
Takeru Miyato
Toshiki Kataoka
Masanori Koyama
Yuichi Yoshida
ODL
155
4,440
0
16 Feb 2018
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
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
Yuichi Yoshida
Takeru Miyato
79
334
0
31 May 2017
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
Zakaria Mhammedi
Andrew D. Hellicar
Ashfaqur Rahman
James Bailey
87
129
0
01 Dec 2016
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
Geoffrey E. Hinton
Oriol Vinyals
J. Dean
FedML
362
19,660
0
09 Mar 2015
Testing the Manifold Hypothesis
Charles Fefferman
S. Mitter
Hariharan Narayanan
151
534
0
01 Oct 2013
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