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Learning-to-Defer (L2D) enables hybrid decision-making by routing inputs either to a predictor or to external experts. While promising, L2D is highly vulnerable to adversarial perturbations, which can not only flip predictions but also…

Machine Learning · Statistics 2026-05-29 Yannis Montreuil , Letian Yu , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

We consider the robust linear regression problem in the online setting where we have access to the data in a streaming manner, one data point after the other. More specifically, for a true parameter $\theta^*$, we consider the corrupted…

Machine Learning · Computer Science 2020-07-02 Scott Pesme , Nicolas Flammarion

Deep Neural Networks (DNNs) are often criticized for being susceptible to adversarial attacks. Most successful defense strategies adopt adversarial training or random input transformations that typically require retraining or fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Lokender Tiwari , Anish Madan , Saket Anand , Subhashis Banerjee

Adversarial robustness studies the worst-case performance of a machine learning model to ensure safety and reliability. With the proliferation of deep-learning-based technology, the potential risks associated with model development and…

Machine Learning · Computer Science 2023-01-06 Pin-Yu Chen , Sijia Liu

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…

Machine Learning · Statistics 2020-12-21 Yue Xing , Ruizhi Zhang , Guang Cheng

Projected Gradient Descent (PGD) under the $L_\infty$ ball has become one of the defacto methods used in adversarial robustness evaluation for computer vision (CV) due to its reliability and efficacy, making a strong and easy-to-implement…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Philip Doldo , Derek Everett , Amol Khanna , Andre T Nguyen , Edward Raff

In this work, we propose a robust framework that employs adversarially robust training to safeguard the ML models against perturbed testing data. Our contributions can be seen from both computational and statistical perspectives. Firstly,…

Machine Learning · Computer Science 2024-11-26 Deepak Maurya , Adarsh Barik , Jean Honorio

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

We study gradient descent (GD) dynamics on logistic regression problems with large, constant step sizes. For linearly-separable data, it is known that GD converges to the minimizer with arbitrarily large step sizes, a property which no…

Machine Learning · Computer Science 2024-11-05 Si Yi Meng , Antonio Orvieto , Daniel Yiming Cao , Christopher De Sa

Unsupervised/self-supervised pre-training methods for graph representation learning have recently attracted increasing research interests, and they are shown to be able to generalize to various downstream applications. Yet, the adversarial…

Machine Learning · Computer Science 2021-05-31 Jiarong Xu , Yang Yang , Junru Chen , Chunping Wang , Xin Jiang , Jiangang Lu , Yizhou Sun

We present an efficient technique, which allows to train classification networks which are verifiably robust against norm-bounded adversarial attacks. This framework is built upon the work of Gowal et al., who applies the interval…

Machine Learning · Computer Science 2019-07-04 Paweł Morawiecki , Przemysław Spurek , Marek Śmieja , Jacek Tabor

We investigate robust linear regression where data may be contaminated by an oblivious adversary, i.e., an adversary than may know the data distribution but is otherwise oblivious to the realizations of the data samples. This model has been…

Machine Learning · Computer Science 2022-02-07 Tom Norman , Nir Weinberger , Kfir Y. Levy

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

Statistics Theory · Mathematics 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

The absence of an algorithm that effectively monitors deep learning models used in side-channel attacks increases the difficulty of evaluation. If the attack is unsuccessful, the question is if we are dealing with a resistant implementation…

Cryptography and Security · Computer Science 2021-11-30 Servio Paguada , Lejla Batina , Ileana Buhan , Igor Armendariz

Datasets with extreme observations and/or heavy-tailed error distributions are commonly encountered and should be analyzed with careful consideration of these features from a statistical perspective. Small deviations from an assumed model,…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

Trajectory prediction using deep neural networks (DNNs) is an essential component of autonomous driving (AD) systems. However, these methods are vulnerable to adversarial attacks, leading to serious consequences such as collisions. In this…

Machine Learning · Computer Science 2022-08-02 Yulong Cao , Danfei Xu , Xinshuo Weng , Zhuoqing Mao , Anima Anandkumar , Chaowei Xiao , Marco Pavone

Designing powerful adversarial attacks is of paramount importance for the evaluation of $\ell_p$-bounded adversarial defenses. Projected Gradient Descent (PGD) is one of the most effective and conceptually simple algorithms to generate such…

Machine Learning · Computer Science 2022-12-16 Nikolaos Antoniou , Efthymios Georgiou , Alexandros Potamianos

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

Deep neural networks are capable of training fast and generalizing well within many domains. Despite their promising performance, deep networks have shown sensitivities to perturbations of their inputs (e.g., adversarial examples) and their…

Machine Learning · Computer Science 2020-07-09 Justin Goodwin , Olivia Brown , Victoria Helus

Adversarial training is a defense method that trains machine learning models on intentionally perturbed attack inputs, so they learn to be robust against adversarial examples. This paper develops a robust voltage control framework for…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Sungjoo Chung , Ying Zhang
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