Randomization matters how to defend against strong adversarial attacks

R Pinot, R Ettedgui, G Rizk… - … on Machine Learning, 2020 - proceedings.mlr.press
Abstract\emph {Is there a classifier that ensures optimal robustness against all adversarial
attacks?} This paper tackles this question by adopting a game-theoretic point of view. We …

Mixed nash equilibria in the adversarial examples game

L Meunier, M Scetbon, RB Pinot, J Atif… - International …, 2021 - proceedings.mlr.press
This paper tackles the problem of adversarial examples from a game theoretic point of view.
We study the open question of the existence of mixed Nash equilibria in the zero-sum game …

Nash equilibria and pitfalls of adversarial training in adversarial robustness games

MF Balcan, R Pukdee, P Ravikumar… - International …, 2023 - proceedings.mlr.press
Adversarial training is a standard technique for training adversarially robust models. In this
paper, we study adversarial training as an alternating best-response strategy in a 2-player …

Adversarial attacks for mixtures of classifiers

LG Heredia, B Negrevergne, Y Chevaleyre - arXiv preprint arXiv …, 2023 - arxiv.org
Mixtures of classifiers (aka randomized ensembles) have been proposed as a way to
improve robustness against adversarial attacks. However, it has been shown that existing …

Towards optimal randomized strategies in adversarial example game

J Xie, C Zhang, W Liu, W Bai, H Qian - Proceedings of the AAAI …, 2023 - ojs.aaai.org
The vulnerability of deep neural network models to adversarial example attacks is a practical
challenge in many artificial intelligence applications. A recent line of work shows that the use …

On the role of randomization in adversarially robust classification

L Gnecco Heredia, MS Pydi… - Advances in …, 2023 - proceedings.neurips.cc
Deep neural networks are known to be vulnerable to small adversarial perturbations in test
data. To defend against adversarial attacks, probabilistic classifiers have been proposed as …

Robustness verification for classifier ensembles

D Gross, N Jansen, GA Pérez… - Automated Technology for …, 2020 - Springer
We give a formal verification procedure that decides whether a classifier ensemble is robust
against arbitrary randomized attacks. Such attacks consist of a set of deterministic attacks …

On the role of randomization in adversarially robust classification

LG Heredia, Y Chevaleyre, B Negrevergne… - … seventh Conference on …, 2023 - hal.science
Deep neural networks are known to be vulnerable to small adversarial perturbations in test
data. To defend against adversarial attacks, probabilistic classifiers have been proposed as …

Advances in Optimal Transport: Low-Rank Structures and Applications in Machine Learning

M Scetbon - 2023 - theses.hal.science
Recent advances in hardware, such as the development of highly-parallel accelerators, and
the growing permeabilitybetween computer science, statistics, optimization and applied …

Scalable optimal classifiers for adversarial settings under uncertainty

B Roussillon, P Loiseau - International Conference on Decision and Game …, 2021 - Springer
We consider the problem of finding optimal classifiers in an adversarial setting where the
class-1 data is generated by an attacker whose objective is not known to the defender—an …