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Adversarial training is one of the most effective approaches defending against adversarial examples for deep learning models. Unlike other defense strategies, adversarial training aims to promote the robustness of models intrinsically.…

Machine Learning · Computer Science 2021-04-22 Tao Bai , Jinqi Luo , Jun Zhao , Bihan Wen , Qian Wang

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…

Machine Learning · Statistics 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

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…

Cryptography and Security · Computer Science 2022-11-09 Yulu Jin , Lifeng Lai

We consider a weak adversarial network approach to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomography problems. We leverage the weak formulation of PDE in the…

Numerical Analysis · Mathematics 2020-12-02 Gang Bao , Xiaojing Ye , Yaohua Zang , Haomin Zhou

Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

Machine Learning · Statistics 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

In adversarial training, a set of models learn together by pursuing competing goals, usually defined on single data instances. However, in relational learning and other non-i.i.d domains, goals can also be defined over sets of instances.…

Artificial Intelligence · Computer Science 2017-07-25 Pasquale Minervini , Thomas Demeester , Tim Rocktäschel , Sebastian Riedel

Neural networks are vulnerable to adversarial examples, i.e. inputs that are imperceptibly perturbed from natural data and yet incorrectly classified by the network. Adversarial training, a heuristic form of robust optimization that…

Machine Learning · Computer Science 2019-11-12 Ruiqi Gao , Tianle Cai , Haochuan Li , Liwei Wang , Cho-Jui Hsieh , Jason D. Lee

The worst-case training principle that minimizes the maximal adversarial loss, also known as adversarial training (AT), has shown to be a state-of-the-art approach for enhancing adversarial robustness. Nevertheless, min-max optimization…

Machine Learning · Computer Science 2021-11-02 Jingkang Wang , Tianyun Zhang , Sijia Liu , Pin-Yu Chen , Jiacen Xu , Makan Fardad , Bo Li

Motivated by bridging the simulation to reality gap in the context of safety-critical systems, we consider learning adversarially robust stability certificates for unknown nonlinear dynamical systems. In line with approaches from robust…

Machine Learning · Computer Science 2021-12-21 Thomas T. C. K. Zhang , Stephen Tu , Nicholas M. Boffi , Jean-Jacques E. Slotine , Nikolai Matni

A rich line of recent work has studied distributionally robust learning approaches that seek to learn a hypothesis that performs well, in the worst-case, on many different distributions over a population. We argue that although the most…

Machine Learning · Computer Science 2024-05-10 Jabari Hastings , Christopher Jung , Charlotte Peale , Vasilis Syrgkanis

The vulnerability of deep neural networks (DNNs) to adversarial examples has attracted great attention in the machine learning community. The problem is related to non-flatness and non-smoothness of normally obtained loss landscapes.…

Machine Learning · Computer Science 2023-02-13 Qizhang Li , Yiwen Guo , Wangmeng Zuo , Hao Chen

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

Machine Learning · Statistics 2021-03-17 Gauthier Gidel , David Balduzzi , Wojciech Marian Czarnecki , Marta Garnelo , Yoram Bachrach

We study bandit best-arm identification with arbitrary and potentially adversarial rewards. A simple random uniform learner obtains the optimal rate of error in the adversarial scenario. However, this type of strategy is suboptimal when the…

Machine Learning · Statistics 2026-04-17 Yasin Abbasi-Yadkori , Peter L. Bartlett , Victor Gabillon , Alan Malek , Michal Valko

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

Adversarial machine learning concerns situations in which learners face attacks from active adversaries. Such scenarios arise in applications such as spam email filtering, malware detection and fake image generation, where security methods…

Machine Learning · Computer Science 2025-10-07 David Benfield , Stefano Coniglio , Phan Tu Vuong , Alain Zemkoho

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

Deep neural networks are vulnerable to adversarial attacks. Ideally, a robust model shall perform well on both the perturbed training data and the unseen perturbed test data. It is found empirically that fitting perturbed training data is…

Machine Learning · Computer Science 2022-11-29 Jiancong Xiao , Yanbo Fan , Ruoyu Sun , Zhi-Quan Luo

We study adversarial robustness of neural networks from a margin maximization perspective, where margins are defined as the distances from inputs to a classifier's decision boundary. Our study shows that maximizing margins can be achieved…

Machine Learning · Computer Science 2020-03-06 Gavin Weiguang Ding , Yash Sharma , Kry Yik Chau Lui , Ruitong Huang

We initiate the study of a new notion of adversarial loss which we call distributional adversarial loss. In this notion, we assume for each original example, the allowed adversarial perturbation set is a family of distributions, and the…

Machine Learning · Computer Science 2025-06-23 Saba Ahmadi , Siddharth Bhandari , Avrim Blum , Chen Dan , Prabhav Jain

Representations of data that are invariant to changes in specified factors are useful for a wide range of problems: removing potential biases in prediction problems, controlling the effects of covariates, and disentangling meaningful…

Machine Learning · Computer Science 2019-12-03 Daniel Moyer , Shuyang Gao , Rob Brekelmans , Greg Ver Steeg , Aram Galstyan
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