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We study the problem of sequential prediction in the stochastic setting with an adversary that is allowed to inject clean-label adversarial (or out-of-distribution) examples. Algorithms designed to handle purely stochastic data tend to fail…

Machine Learning · Computer Science 2024-01-26 Surbhi Goel , Steve Hanneke , Shay Moran , Abhishek Shetty

We study a sequential prediction problem in which an adversary is allowed to inject arbitrarily many adversarial instances in a stream of i.i.d. instances, but at each round, the learner may also abstain from making a prediction without…

Machine Learning · Computer Science 2026-03-19 Jialin Yu , Moïse Blanchard

We investigate the challenge of establishing stochastic-like guarantees when sequentially learning from a stream of i.i.d. data that includes an unknown quantity of clean-label adversarial samples. We permit the learner to abstain from…

Machine Learning · Computer Science 2025-04-22 Carolin Heinzler

This paper studies classification with an abstention option in the online setting. In this setting, examples arrive sequentially, the learner is given a hypothesis class $\mathcal H$, and the goal of the learner is to either predict a label…

Machine Learning · Computer Science 2016-09-29 Chicheng Zhang , Kamalika Chaudhuri

Motivated by applications to resource-limited and safety-critical domains, we study selective classification in the online learning model, wherein a predictor may abstain from classifying an instance. For example, this may model an adaptive…

Machine Learning · Computer Science 2021-10-28 Aditya Gangrade , Anil Kag , Ashok Cutkosky , Venkatesh Saligrama

A common challenge across all areas of machine learning is that training data is not distributed like test data, due to natural shifts, "blind spots," or adversarial examples; such test examples are referred to as out-of-distribution (OOD)…

Machine Learning · Computer Science 2021-10-29 Adam Tauman Kalai , Varun Kanade

We study the problem of adversarially robust learning in the transductive setting. For classes $\mathcal{H}$ of bounded VC dimension, we propose a simple transductive learner that when presented with a set of labeled training examples and a…

Machine Learning · Computer Science 2021-10-22 Omar Montasser , Steve Hanneke , Nathan Srebro

As machine learning systems increasingly train on self-annotated data, they risk reinforcing errors and becoming echo chambers of their own beliefs. We model this phenomenon by introducing a learning-theoretic framework: Online Learning in…

Machine Learning · Computer Science 2026-03-05 Daniil Dmitriev , Harald Eskelund Franck , Carolin Heinzler , Amartya Sanyal

We study high-dimensional distribution learning in an agnostic setting where an adversary is allowed to arbitrarily corrupt an $\varepsilon$-fraction of the samples. Such questions have a rich history spanning statistics, machine learning…

Data Structures and Algorithms · Computer Science 2019-03-18 Ilias Diakonikolas , Gautam Kamath , Daniel Kane , Jerry Li , Ankur Moitra , Alistair Stewart

We explore adversarial robustness in the setting in which it is acceptable for a classifier to abstain---that is, output no class---on adversarial examples. Adversarial examples are small perturbations of normal inputs to a classifier that…

Machine Learning · Computer Science 2019-11-27 Cassidy Laidlaw , Soheil Feizi

The Hybrid Online Learning Problem, where features are drawn i.i.d. from an unknown distribution but labels are generated adversarially, is a well-motivated setting positioned between statistical and fully-adversarial online learning. Prior…

Machine Learning · Computer Science 2026-03-06 Princewill Okoroafor , Robert Kleinberg , Michael P. Kim

We study the problem of oracle-efficient hybrid online learning when the features are generated by an unknown i.i.d. process and the labels are generated adversarially. Assuming access to an (offline) ERM oracle, we show that there exists a…

Machine Learning · Computer Science 2025-02-13 Changlong Wu , Jin Sima , Wojciech Szpankowski

Refraining from confidently predicting when faced with categories of inputs different from those seen during training is an important requirement for the safe deployment of deep learning systems. While simple to state, this has been a…

Machine Learning · Computer Science 2021-05-18 Sunil Thulasidasan , Sushil Thapa , Sayera Dhaubhadel , Gopinath Chennupati , Tanmoy Bhattacharya , Jeff Bilmes

We revisit the problem of private online learning, in which a learner receives a sequence of $T$ data points and has to respond at each time-step a hypothesis. It is required that the entire stream of output hypotheses should satisfy…

Machine Learning · Computer Science 2025-11-11 Bo Li , Wei Wang , Peng Ye

Existing adversarial learning approaches mostly use class labels to generate adversarial samples that lead to incorrect predictions, which are then used to augment the training of the model for improved robustness. While some recent works…

Machine Learning · Computer Science 2020-10-27 Minseon Kim , Jihoon Tack , Sung Ju Hwang

Adversarial training has emerged as an effective approach to train robust neural network models that are resistant to adversarial attacks, even in low-label regimes where labeled data is scarce. In this paper, we introduce a novel…

Machine Learning · Computer Science 2024-11-28 Tian Ye , Rajgopal Kannan , Viktor Prasanna

The phenomenon of adversarial examples in deep learning models has caused substantial concern over their reliability. While many deep neural networks have shown impressive performance in terms of predictive accuracy, it has been shown that…

Machine Learning · Computer Science 2021-06-28 Sadia Chowdhury , Ruth Urner

Classical results in statistical learning typically consider two extreme data-generating models: i.i.d. instances from an unknown distribution, or fully adversarial instances, often much more challenging statistically. To bridge the gap…

Machine Learning · Statistics 2025-06-13 Moïse Blanchard

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

Data poisoning attacks, in which an adversary corrupts a training set with the goal of inducing specific desired mistakes, have raised substantial concern: even just the possibility of such an attack can make a user no longer trust the…

Machine Learning · Computer Science 2022-03-09 Maria-Florina Balcan , Avrim Blum , Steve Hanneke , Dravyansh Sharma
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