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Adversarial examples are perturbed inputs designed to fool machine learning models. Adversarial training injects such examples into training data to increase robustness. To scale this technique to large datasets, perturbations are crafted…

Machine Learning · Statistics 2020-04-28 Florian Tramèr , Alexey Kurakin , Nicolas Papernot , Ian Goodfellow , Dan Boneh , Patrick McDaniel

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

Machine Learning · Computer Science 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

Understanding the fundamental limits of robust supervised learning has emerged as a problem of immense interest, from both practical and theoretical standpoints. In particular, it is critical to determine classifier-agnostic bounds on the…

Machine Learning · Computer Science 2021-06-08 Arjun Nitin Bhagoji , Daniel Cullina , Vikash Sehwag , Prateek Mittal

Standard adversarial attacks change the predicted class label of a selected image by adding specially tailored small perturbations to its pixels. In contrast, a universal perturbation is an update that can be added to any image in a broad…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ali Shafahi , Mahyar Najibi , Zheng Xu , John Dickerson , Larry S. Davis , Tom Goldstein

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically, empirical evidence indicates that even systems which are…

Machine Learning · Computer Science 2024-09-13 Oliver J. Sutton , Qinghua Zhou , Ivan Y. Tyukin , Alexander N. Gorban , Alexander Bastounis , Desmond J. Higham

Adversarial Training has proved to be an effective training paradigm to enforce robustness against adversarial examples in modern neural network architectures. Despite many efforts, explanations of the foundational principles underpinning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Mattia Carletti , Matteo Terzi , Gian Antonio Susto

We study the robustness of machine learning approaches to adversarial perturbations, with a focus on supervised learning scenarios. We find that typical phase classifiers based on deep neural networks are extremely vulnerable to adversarial…

Disordered Systems and Neural Networks · Physics 2024-01-26 Si Jiang , Sirui Lu , Dong-Ling Deng

The field of adversarial robustness has attracted significant attention in machine learning. Contrary to the common approach of training models that are accurate in average case, it aims at training models that are accurate for worst case…

Machine Learning · Computer Science 2020-10-12 Oriol Barbany Mayor

The nonuniform and growing impact of adversarial noise across the layers of deep neural networks has been used in the literature, without a formal mathematical justification, to detect adversarial inputs and improve robustness. In this…

Machine Learning · Computer Science 2026-05-05 Furkan Mumcu , Yasin Yilmaz

Adversarial training augments the training set with perturbations to improve the robust error (over worst-case perturbations), but it often leads to an increase in the standard error (on unperturbed test inputs). Previous explanations for…

Machine Learning · Computer Science 2020-07-08 Aditi Raghunathan , Sang Michael Xie , Fanny Yang , John Duchi , Percy Liang

Given a black-box classification model and an unlabeled evaluation dataset from some application domain, efficient strategies need to be developed to evaluate the model. Random sampling allows a user to estimate metrics like accuracy,…

Machine Learning · Computer Science 2021-02-26 Walter Bennette , Sally Dufek , Karsten Maurer , Sean Sisti , Bunyod Tusmatov

This paper aims first at a simultaneous axiomatic presentation of the proof of optimal convergence rates for adaptive finite element methods and second at some refinements of particular questions like the avoidance of (discrete) lower…

Numerical Analysis · Mathematics 2014-03-14 Carsten Carstensen , Michael Feischl , Marcus Page , Dirk Praetorius

The vulnerability of machine learning models to adversarial attacks has been attracting considerable attention in recent years. Most existing studies focus on the behavior of stand-alone single-agent learners. In comparison, this work…

Machine Learning · Computer Science 2025-05-13 Ying Cao , Elsa Rizk , Stefan Vlaski , Ali H. Sayed

We establish an equivalence between a family of adversarial training problems for non-parametric binary classification and a family of regularized risk minimization problems where the regularizer is a nonlocal perimeter functional. The…

Machine Learning · Computer Science 2023-02-13 Leon Bungert , Nicolás García Trillos , Ryan Murray

Parametric adversarial divergences, which are a generalization of the losses used to train generative adversarial networks (GANs), have often been described as being approximations of their nonparametric counterparts, such as the…

Machine Learning · Computer Science 2021-10-22 Gabriel Huang , Hugo Berard , Ahmed Touati , Gauthier Gidel , Pascal Vincent , Simon Lacoste-Julien

Crowdsourced data used in machine learning services might carry sensitive information about attributes that users do not want to share. Various methods have been proposed to minimize the potential information leakage of sensitive attributes…

Machine Learning · Computer Science 2020-10-27 Han Zhao , Jianfeng Chi , Yuan Tian , Geoffrey J. Gordon

There is an increasing interest in analyzing the behavior of machine learning systems against adversarial attacks. However, most of the research in adversarial machine learning has focused on studying weaknesses against evasion or poisoning…

Machine Learning · Statistics 2025-06-12 Pablo G. Arce , Roi Naveiro , David Ríos Insua

One prominent approach toward resolving the adversarial vulnerability of deep neural networks is the two-player zero-sum paradigm of adversarial training, in which predictors are trained against adversarially chosen perturbations of data.…

Machine Learning · Computer Science 2024-03-20 Alexander Robey , Fabian Latorre , George J. Pappas , Hamed Hassani , Volkan Cevher

Several techniques for domain adaptation have been proposed to account for differences in the distribution of the data used for training and testing. The majority of this work focuses on a binary domain label. Similar problems occur in a…

Machine Learning · Statistics 2020-02-18 Gilles Louppe , Michael Kagan , Kyle Cranmer

We present a new algorithm to learn a deep neural network model robust against adversarial attacks. Previous algorithms demonstrate an adversarially trained Bayesian Neural Network (BNN) provides improved robustness. We recognize the…

Machine Learning · Computer Science 2023-12-04 Bao Gia Doan , Ehsan Abbasnejad , Javen Qinfeng Shi , Damith C. Ranasinghe
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