Title
Robustness of classifiers to uniform $\ell_p$ and Gaussian noise.
Abstract
We study the robustness of classifiers to various kinds of random noise models. In particular, we consider noise drawn uniformly from the $ell_p$ ball for $p [1, infty]$ and Gaussian noise with an arbitrary covariance matrix. We characterize this robustness to random noise in terms of the distance to the decision boundary of the classifier. This analysis applies to linear classifiers as well as classifiers with locally approximately flat decision boundaries, a condition which is satisfied by state-of-the-art deep neural networks. The predicted robustness is verified experimentally.
Year
Venue
Field
2018
AISTATS
Mathematical optimization,Random noise,Algorithm,Robustness (computer science),Covariance matrix,Classifier (linguistics),Decision boundary,Gaussian noise,Deep neural networks,Mathematics
DocType
ISSN
Citations 
Conference
21st International Conference on Artificial Intelligence and Statistics (AISTATS) 2018, Apr 2018, Playa Blanca, Spain. 2018, http://www.aistats.org/
1
PageRank 
References 
Authors
0.36
12
3
Name
Order
Citations
PageRank
Jean-Yves Franceschi110.36
Alhussein Fawzi276636.80
Omar Fawzi37110.23