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Despite tremendous advancements of machine learning models and algorithms in various application domains, they are known to be vulnerable to subtle, natural or intentionally crafted perturbations in future input data, known as adversarial…

机器学习 · 统计学 2025-06-03 Jingfu Peng , Yuhong Yang

Deep learning models are widely deployed in safety-critical domains, but remain vulnerable to adversarial attacks. In this paper, we study the adversarial robustness of NTK neural networks in the context of nonparametric regression. We…

机器学习 · 统计学 2026-04-30 Yuxuan Hou

Adversarially robust learning aims to design algorithms that are robust to small adversarial perturbations on input variables. Beyond the existing studies on the predictive performance to adversarial samples, our goal is to understand…

机器学习 · 统计学 2020-12-21 Yue Xing , Ruizhi Zhang , Guang Cheng

In this paper, we take a first step towards answering the question of how to design fair machine learning algorithms that are robust to adversarial attacks. Using a minimax framework, we aim to design an adversarially robust fair regression…

密码学与安全 · 计算机科学 2022-11-09 Yulu Jin , Lifeng Lai

It is necessary to improve the performance of some special classes or to particularly protect them from attacks in adversarial learning. This paper proposes a framework combining cost-sensitive classification and adversarial learning…

机器学习 · 计算机科学 2022-06-24 Haojing Shen , Sihong Chen , Ran Wang , Xizhao Wang

Adversarial training can achieve robustness against adversarial perturbations and has been widely used in machine learning models. This paper delivers a non-asymptotic consistency analysis of the adversarial training procedure under…

统计理论 · 数学 2024-05-24 Yiling Xie , Xiaoming Huo

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against such examples. It is formulated as a min-max…

机器学习 · 统计学 2022-10-21 Antônio H. Ribeiro , Dave Zachariah , Thomas B. Schön

We study the error of linear regression in the face of adversarial attacks. In this framework, an adversary changes the input to the regression model in order to maximize the prediction error. We provide bounds on the prediction error in…

机器学习 · 统计学 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

It has been consistently reported that many machine learning models are susceptible to adversarial attacks i.e., small additive adversarial perturbations applied to data points can cause misclassification. Adversarial training using…

机器学习 · 统计学 2021-07-15 Hossein Taheri , Ramtin Pedarsani , Christos Thrampoulidis

Adversarial training has gained great popularity as one of the most effective defenses for deep neural network and more generally for gradient-based machine learning models against adversarial perturbations on data points. This paper…

机器学习 · 计算机科学 2023-05-25 Haotian Gu , Xin Guo , Xinyu Li

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against it. Formulated as a min-max problem, it…

机器学习 · 统计学 2023-10-18 Antônio H. Ribeiro , Dave Zachariah , Francis Bach , Thomas B. Schön

Adversarial Training is proved to be an efficient method to defend against adversarial examples, being one of the few defenses that withstand strong attacks. However, traditional defense mechanisms assume a uniform attack over the examples…

机器学习 · 计算机科学 2020-10-27 Huimin Zeng , Chen Zhu , Tom Goldstein , Furong Huang

This paper studies robust nonparametric regression, in which an adversarial attacker can modify the values of up to $q$ samples from a training dataset of size $N$. Our initial solution is an M-estimator based on Huber loss minimization.…

统计理论 · 数学 2023-12-12 Puning Zhao , Zhiguo Wan

Here we propose a general theoretical method for analyzing the risk bound in the presence of adversaries. Specifically, we try to fit the adversarial learning problem into the minimax framework. We first show that the original adversarial…

机器学习 · 统计学 2019-01-25 Zhuozhuo Tu , Jingwei Zhang , Dacheng Tao

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

最优化与控制 · 数学 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

We show the sup-norm convergence of deep neural network estimators with a novel adversarial training scheme. For the nonparametric regression problem, it has been shown that an estimator using deep neural networks can achieve better…

机器学习 · 统计学 2023-07-11 Masaaki Imaizumi

A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial…

机器学习 · 计算机科学 2025-10-09 Natalie S. Frank

We evaluate machine comprehension models' robustness to noise and adversarial attacks by performing novel perturbations at the character, word, and sentence level. We experiment with different amounts of perturbations to examine model…

计算与语言 · 计算机科学 2020-05-04 Winston Wu , Dustin Arendt , Svitlana Volkova

We study minimax convergence rates of nonparametric density estimation under a large class of loss functions called "adversarial losses", which, besides classical $\mathcal{L}^p$ losses, includes maximum mean discrepancy (MMD), Wasserstein…

Adversarial machine learning challenges the assumption that the underlying distribution remains consistent throughout the training and implementation of a prediction model. In particular, adversarial evasion considers scenarios where…

机器学习 · 计算机科学 2025-12-02 David Benfield , Phan Tu Vuong , Alain Zemkoho
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