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We prove an exponential separation for the sample complexity between the standard PAC-learning model and a version of the Equivalence-Query-learning model. We then show that this separation has interesting implications for adversarial…

Machine Learning · Computer Science 2021-02-19 Grzegorz Głuch , Rüdiger Urbanke

A fundamental problem in adversarial machine learning is to quantify how much training data is needed in the presence of evasion attacks. In this paper we address this issue within the framework of PAC learning, focusing on the class of…

Machine Learning · Computer Science 2022-05-13 Pascale Gourdeau , Varun Kanade , Marta Kwiatkowska , James Worrell

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

Despite remarkable achievements in deep learning across various domains, its inherent vulnerability to adversarial examples still remains a critical concern for practical deployment. Adversarial training has emerged as one of the most…

Machine Learning · Computer Science 2024-11-06 Junhao Dong , Xinghua Qu , Z. Jane Wang , Yew-Soon Ong

Training machine learning models that are robust against adversarial inputs poses seemingly insurmountable challenges. To better understand adversarial robustness, we consider the underlying problem of learning robust representations. We…

Machine Learning · Computer Science 2020-07-07 Sicheng Zhu , Xiao Zhang , David Evans

Modern machine learning systems have been applied successfully to a variety of tasks in recent years but making such systems robust against adversarially chosen modifications of input instances seems to be a much harder problem. It is…

Quantum Physics · Physics 2021-12-20 Khashayar Barooti , Grzegorz Głuch , Ruediger Urbanke

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

We initiate the study of tolerant adversarial PAC-learning with respect to metric perturbation sets. In adversarial PAC-learning, an adversary is allowed to replace a test point $x$ with an arbitrary point in a closed ball of radius $r$…

Machine Learning · Statistics 2023-02-16 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

Machine learning algorithms with empirical risk minimization are vulnerable under distributional shifts due to the greedy adoption of all the correlations found in training data. There is an emerging literature on tackling this problem by…

Machine Learning · Computer Science 2022-11-22 Jiashuo Liu , Zheyan Shen , Peng Cui , Linjun Zhou , Kun Kuang , Bo Li

The fact that deep neural networks are susceptible to crafted perturbations severely impacts the use of deep learning in certain domains of application. Among many developed defense models against such attacks, adversarial training emerges…

Machine Learning · Computer Science 2020-07-13 Anh Bui , Trung Le , He Zhao , Paul Montague , Olivier deVel , Tamas Abraham , Dinh Phung

There has been great interest in enhancing the robustness of neural network classifiers to defend against adversarial perturbations through adversarial training, while balancing the trade-off between robust accuracy and standard accuracy.…

Machine Learning · Computer Science 2022-10-24 Chester Holtz , Tsui-Wei Weng , Gal Mishne

We study the problem of reducing adversarially robust learning to standard PAC learning, i.e. the complexity of learning adversarially robust predictors using access to only a black-box non-robust learner. We give a reduction that can…

Machine Learning · Computer Science 2020-10-26 Omar Montasser , Steve Hanneke , Nathan Srebro

Although adversarial training (AT) has proven effective in enhancing the model's robustness, the recently revealed issue of fairness in robustness has not been well addressed, i.e. the robust accuracy varies significantly among different…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Yanghao Zhang , Tianle Zhang , Ronghui Mu , Xiaowei Huang , Wenjie Ruan

In this paper we propose a new family of algorithms, ATENT, for training adversarially robust deep neural networks. We formulate a new loss function that is equipped with an additional entropic regularization. Our loss function considers…

Machine Learning · Computer Science 2021-02-22 Gauri Jagatap , Ameya Joshi , Animesh Basak Chowdhury , Siddharth Garg , Chinmay Hegde

Recent breakthroughs in the field of deep learning have led to advancements in a broad spectrum of tasks in computer vision, audio processing, natural language processing and other areas. In most instances where these tasks are deployed in…

Machine Learning · Computer Science 2019-05-28 Daanish Ali Khan , Linhong Li , Ninghao Sha , Zhuoran Liu , Abelino Jimenez , Bhiksha Raj , Rita Singh

This paper investigates the theory of robustness against adversarial attacks. We focus on randomized classifiers (\emph{i.e.} classifiers that output random variables) and provide a thorough analysis of their behavior through the lens of…

Machine Learning · Computer Science 2021-02-23 Rafael Pinot , Laurent Meunier , Florian Yger , Cédric Gouy-Pailler , Yann Chevaleyre , Jamal Atif

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

In this work, we initiate a formal study of probably approximately correct (PAC) learning under evasion attacks, where the adversary's goal is to \emph{misclassify} the adversarially perturbed sample point $\widetilde{x}$, i.e.,…

Machine Learning · Computer Science 2019-06-14 Dimitrios I. Diochnos , Saeed Mahloujifar , Mohammad Mahmoody

Many of the successes of machine learning are based on minimizing an averaged loss function. However, it is well-known that this paradigm suffers from robustness issues that hinder its applicability in safety-critical domains. These issues…

Machine Learning · Computer Science 2022-06-09 Alexander Robey , Luiz F. O. Chamon , George J. Pappas , Hamed Hassani

Adversarial training (AT) is among the most effective techniques to improve model robustness by augmenting training data with adversarial examples. However, most existing AT methods adopt a specific attack to craft adversarial examples,…

Machine Learning · Computer Science 2020-11-20 Yinpeng Dong , Zhijie Deng , Tianyu Pang , Hang Su , Jun Zhu
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