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Learning theory has largely focused on two main learning scenarios. The first is the classical statistical setting where instances are drawn i.i.d. from a fixed distribution and the second scenario is the online learning, completely…

Machine Learning · Statistics 2011-04-28 Alexander Rakhlin , Karthik Sridharan , Ambuj Tewari

The notion of \emph{policy regret} in online learning is a well defined? performance measure for the common scenario of adaptive adversaries, which more traditional quantities such as external regret do not take into account. We revisit the…

Machine Learning · Computer Science 2020-03-24 Raman Arora , Michael Dinitz , Teodor V. Marinov , Mehryar Mohri

We revisit the concept of "adversary" in online learning, motivated by solving robust optimization and adversarial training using online learning methods. While one of the classical setups in online learning deals with the "adversarial"…

Machine Learning · Computer Science 2021-01-28 Sebastian Pokutta , Huan Xu

We consider the problem of online classification under a privacy constraint. In this setting a learner observes sequentially a stream of labelled examples $(x_t, y_t)$, for $1 \leq t \leq T$, and returns at each iteration $t$ a hypothesis…

Machine Learning · Computer Science 2021-06-28 Noah Golowich , Roi Livni

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

Adversarial examples have appeared as a ubiquitous property of machine learning models where bounded adversarial perturbation could mislead the models to make arbitrarily incorrect predictions. Such examples provide a way to assess the…

Machine Learning · Computer Science 2021-03-02 Zhuolin Yang , Zhaoxi Chen , Tiffany Cai , Xinyun Chen , Bo Li , Yuandong Tian

We study online learning in the adversarial injection model introduced by [Goel et al. 2017], where a stream of labeled examples is predominantly drawn i.i.d.\ from an unknown distribution $\mathcal{D}$, but may be interspersed with…

Machine Learning · Computer Science 2026-02-24 Ezra Edelman , Surbhi Goel

We consider the problem of multiclass transductive online learning when the number of labels can be unbounded. Previous works by Ben-David et al. [1997] and Hanneke et al. [2023b] only consider the case of binary and finite label spaces,…

Machine Learning · Computer Science 2024-11-05 Steve Hanneke , Vinod Raman , Amirreza Shaeiri , Unique Subedi

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

Catastrophic forgetting of previous knowledge is a critical issue in continual learning typically handled through various regularization strategies. However, existing methods struggle especially when several incremental steps are performed.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Chang Liu , Giulia Rizzoli , Francesco Barbato , Andrea Maracani , Marco Toldo , Umberto Michieli , Yi Niu , Pietro Zanuttigh

We study learning in a dynamically evolving environment modeled as a Markov game between a learner and a strategic opponent that can adapt to the learner's strategies. While most existing works in Markov games focus on external regret as…

Machine Learning · Computer Science 2024-12-11 Thanh Nguyen-Tang , Raman Arora

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at…

Machine Learning · Computer Science 2018-06-07 Liang Tong , Sixie Yu , Scott Alfeld , Yevgeniy Vorobeychik

Continual learning seeks to enable machine learning systems to solve an increasing corpus of tasks sequentially. A critical challenge for continual learning is forgetting, where the performance on previously learned tasks decreases as new…

Machine Learning · Computer Science 2025-06-06 Yasaman Mahdaviyeh , James Lucas , Mengye Ren , Andreas S. Tolias , Richard Zemel , Toniann Pitassi

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

Machine Learning · Computer Science 2026-03-02 Sajad Ashkezari

Continual learning, the setting where a learning agent is faced with a never ending stream of data, continues to be a great challenge for modern machine learning systems. In particular the online or "single-pass through the data" setting…

Machine Learning · Computer Science 2019-10-31 Rahaf Aljundi , Lucas Caccia , Eugene Belilovsky , Massimo Caccia , Min Lin , Laurent Charlin , Tinne Tuytelaars

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

Machine Learning · Computer Science 2025-10-06 Martino Bernasconi , Andrea Celli , Riccardo Colini-Baldeschi , Federico Fusco , Stefano Leonardi , Matteo Russo

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

Machine Learning · Computer Science 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

We consider the problem of prediction by a machine learning algorithm, called learner, within an adversarial learning setting. The learner's task is to correctly predict the class of data passed to it as a query. However, along with queries…

Machine Learning · Computer Science 2020-02-11 Prithviraj Dasgupta , Joseph B. Collins , Michael McCarrick

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
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