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There are many high dimensional function classes that have fast agnostic learning algorithms when assumptions on the distribution of examples can be made, such as Gaussianity or uniformity over the domain. But how can one be confident that…

Machine Learning · Computer Science 2022-11-22 Ronitt Rubinfeld , Arsen Vasilyan

Neural networks are vulnerable to small adversarial perturbations. Existing literature largely focused on understanding and mitigating the vulnerability of learned models. In this paper, we demonstrate an intriguing phenomenon about the…

Machine Learning · Computer Science 2019-02-25 Gavin Weiguang Ding , Kry Yik Chau Lui , Xiaomeng Jin , Luyu Wang , Ruitong Huang

Deep neural networks are vulnerable to adversarial noise. Adversarial Training (AT) has been demonstrated to be the most effective defense strategy to protect neural networks from being fooled. However, we find AT omits to learning robust…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Nuoyan Zhou , Nannan Wang , Decheng Liu , Dawei Zhou , Xinbo Gao

Deep neural networks have demonstrated remarkable effectiveness across a wide range of tasks such as semantic segmentation. Nevertheless, these networks are vulnerable to adversarial attacks that add imperceptible perturbations to the input…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Kira Maag , Roman Resner , Asja Fischer

We study the problem of designing consistent sequential two-sample tests in a nonparametric setting. Guided by the principle of testing by betting, we reframe this task into that of selecting a sequence of payoff functions that maximize the…

Statistics Theory · Mathematics 2025-08-26 Shubhanshu Shekhar , Aaditya Ramdas

Deep neural networks (DNNs) have gained prominence in various applications, such as classification, recognition, and prediction, prompting increased scrutiny of their properties. A fundamental attribute of traditional DNNs is their…

Machine Learning · Computer Science 2023-08-15 Roman Garaev , Bader Rasheed , Adil Khan

Adversarial training is a widely-applied approach to training deep neural networks to be robust against adversarial perturbation. However, although adversarial training has achieved empirical success in practice, it still remains unclear…

Machine Learning · Computer Science 2025-02-10 Binghui Li , Yuanzhi Li

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

Machine Learning · Computer Science 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

In this article I describe a research agenda for securing machine learning models against adversarial inputs at test time. This article does not present results but instead shares some of my thoughts about where I think that the field needs…

Machine Learning · Computer Science 2019-03-18 Ian Goodfellow

Adversarial attacks are widely used to identify model vulnerabilities; however, their validity as proxies for robustness to random perturbations remains debated. We ask whether an adversarial example provides a representative estimate of…

Machine Learning · Computer Science 2026-01-27 Giulio Rossolini

Distribution matching can be used to learn invariant representations with applications in fairness and robustness. Most prior works resort to adversarial matching methods but the resulting minimax problems are unstable and challenging to…

Machine Learning · Computer Science 2024-06-05 Ziyu Gong , Ben Usman , Han Zhao , David I. Inouye

Is there a classifier that ensures optimal robustness against all adversarial attacks? This paper answers this question by adopting a game-theoretic point of view. We show that adversarial attacks and defenses form an infinite zero-sum game…

Machine Learning · Computer Science 2021-01-07 Rafael Pinot , Raphael Ettedgui , Geovani Rizk , Yann Chevaleyre , Jamal Atif

Distribution shifts and adversarial examples are two major challenges for deploying machine learning models. While these challenges have been studied individually, their combination is an important topic that remains relatively…

Machine Learning · Computer Science 2024-02-20 Yunjuan Wang , Hussein Hazimeh , Natalia Ponomareva , Alexey Kurakin , Ibrahim Hammoud , Raman Arora

Deep Neural Networks (DNNs) have shown remarkable performance in a diverse range of machine learning applications. However, it is widely known that DNNs are vulnerable to simple adversarial perturbations, which causes the model to…

Machine Learning · Computer Science 2021-07-23 Gihyuk Ko , Gyumin Lim

Adversarial machine learning is a well-studied field of research where an adversary causes predictable errors in a machine learning algorithm through precise manipulation of the input. Numerous techniques have been proposed to harden…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Pratik Vaishnavi , Kevin Eykholt , Atul Prakash , Amir Rahmati

Despite the remarkable success of deep neural networks (DNNs), the security threat of adversarial attacks poses a significant challenge to the reliability of DNNs. In this paper, both theoretically and empirically, we discover a universal…

Machine Learning · Computer Science 2025-06-10 Ran Wang , Xinlei Zhou , Meng Hu , Rihao Li , Wenhui Wu , Yuheng Jia

Nonparametric statistical tests are useful procedures that can be applied in a wide range of situations, such as testing randomness or goodness of fit, one-sample, two-sample and multiple-sample analysis, association between bivariate…

Computation · Statistics 2015-01-20 J. Derrac , S. García , F. Herrera

Adversarial training is a promising strategy for enhancing model robustness against adversarial attacks. However, its impact on generalization under substantial data distribution shifts in audio classification remains largely unexplored. To…

Machine Learning · Computer Science 2025-07-21 René Heinrich , Lukas Rauch , Bernhard Sick , Christoph Scholz

Adversarial training is a popular method to give neural nets robustness against adversarial perturbations. In practice adversarial training leads to low robust training loss. However, a rigorous explanation for why this happens under…

Machine Learning · Computer Science 2020-02-25 Yi Zhang , Orestis Plevrakis , Simon S. Du , Xingguo Li , Zhao Song , Sanjeev Arora

Thanks to their extensive capacity, over-parameterized neural networks exhibit superior predictive capabilities and generalization. However, having a large parameter space is considered one of the main suspects of the neural networks'…

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