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We study the online learning with feedback graphs framework introduced by Mannor and Shamir (2011), in which the feedback received by the online learner is specified by a graph $G$ over the available actions. We develop an algorithm that…

Machine Learning · Computer Science 2021-07-21 Liad Erez , Tomer Koren

A major challenge in designing efficient statistical supervised learning algorithms is finding representations that perform well not only on available training samples but also on unseen data. While the study of representation learning has…

Machine Learning · Statistics 2024-02-06 Milad Sefidgaran , Abdellatif Zaidi , Piotr Krasnowski

Regret bounds in online learning compare the player's performance to $L^*$, the optimal performance in hindsight with a fixed strategy. Typically such bounds scale with the square root of the time horizon $T$. The more refined concept of…

Machine Learning · Computer Science 2018-02-12 Zeyuan Allen-Zhu , Sébastien Bubeck , Yuanzhi Li

We propose a new variant of online learning that we call "ambiguous online learning". In this setting, the learner is allowed to produce multiple predicted labels. Such an "ambiguous prediction" is considered correct when at least one of…

Machine Learning · Computer Science 2026-01-13 Vanessa Kosoy

We provide an online learning algorithm that obtains regret $G\|w_\star\|\sqrt{T\log(\|w_\star\|G\sqrt{T})} + \|w_\star\|^2 + G^2$ on $G$-Lipschitz convex losses for any comparison point $w_\star$ without knowing either $G$ or…

Machine Learning · Computer Science 2024-06-03 Ashok Cutkosky , Zakaria Mhammedi

Much of the work in online learning focuses on the study of sublinear upper bounds on the regret. In this work, we initiate the study of best-case lower bounds in online convex optimization, wherein we bound the largest improvement an…

Machine Learning · Computer Science 2021-06-25 Cristóbal Guzmán , Nishant A. Mehta , Ali Mortazavi

We study adversarial online learning with hidden-convex losses, i.e., nonconvex losses that become convex after a nonlinear reparameterization. Ghai, Lu and Hazan (2022) proved that, under geometric and smoothness assumptions, online…

Machine Learning · Computer Science 2026-05-27 Anas Barakat , Andreas Kontogiannis , Vasilis Pollatos , Ioannis Panageas , Antonios Varvitsiotis

Online continual learning, the process of training models on streaming data, has gained increasing attention in recent years. However, a critical aspect often overlooked is the label delay, where new data may not be labeled due to slow and…

Machine Learning · Computer Science 2024-04-29 Botos Csaba , Wenxuan Zhang , Matthias Müller , Ser-Nam Lim , Mohamed Elhoseiny , Philip Torr , Adel Bibi

We derive an (almost) guaranteed upper bound on the error of deep neural networks under distribution shift using unlabeled test data. Prior methods either give bounds that are vacuous in practice or give estimates that are accurate on…

Machine Learning · Statistics 2023-06-02 Elan Rosenfeld , Saurabh Garg

This paper addresses the problem of universal learning under model misspecification with log-loss. In this setting, the learner operates with a hypothesis class of models denoted by $\Theta$, while the true data-generating process belongs…

Information Theory · Computer Science 2026-05-12 Shlomi Vituri , Meir Feder

Delle Rose et al.~(COLT'23) introduced an effective version of the Vapnik-Chervonenkis dimension, and showed that it characterizes improper PAC learning with total computable learners. In this paper, we introduce and study a similar…

Machine Learning · Computer Science 2024-11-25 Valentino Delle Rose , Alexander Kozachinskiy , Tomasz Steifer

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

Machine Learning · Computer Science 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

We consider the problem of online multiclass U-calibration, where a forecaster aims to make sequential distributional predictions over $K$ classes with low U-calibration error, that is, low regret with respect to all bounded proper losses…

Machine Learning · Statistics 2024-05-31 Haipeng Luo , Spandan Senapati , Vatsal Sharan

We consider distributed online learning protocols that control the exchange of information between local learners in a round-based learning scenario. The learning performance of such a protocol is intuitively optimal if approximately the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-02 Michael Kamp , Mario Boley , Michael Mock , Daniel Keren , Assaf Schuster , Izchak Sharfman

We study a new learning protocol, termed partial-feedback online learning, where each instance admits a set of acceptable labels, but the learner observes only one acceptable label per round. We highlight that, while classical version space…

Machine Learning · Computer Science 2026-04-03 Shihao Shao , Cong Fang , Zhouchen Lin , Dacheng Tao

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

We provide algorithms that guarantee regret $R_T(u)\le \tilde O(G\|u\|^3 + G(\|u\|+1)\sqrt{T})$ or $R_T(u)\le \tilde O(G\|u\|^3T^{1/3} + GT^{1/3}+ G\|u\|\sqrt{T})$ for online convex optimization with $G$-Lipschitz losses for any comparison…

Machine Learning · Statistics 2019-02-26 Ashok Cutkosky

We study continuous-time online learning where data are generated by a diffusion process with unknown coefficients. The learner employs a two-layer neural network, continuously updating its parameters in a non-anticipative manner. The…

Machine Learning · Computer Science 2026-04-14 Erhan Bayraktar , Bingyan Han , Ziqing Zhang

In the model of online caching with machine learned advice, introduced by Lykouris and Vassilvitskii, the goal is to solve the caching problem with an online algorithm that has access to next-arrival predictions: when each input element…

Data Structures and Algorithms · Computer Science 2019-10-31 Dhruv Rohatgi

We study a two-sided market, wherein, price-sensitive heterogeneous customers and servers arrive and join their respective queues. A compatible customer-server pair can then be matched by the platform, at which point, they leave the system.…

Machine Learning · Computer Science 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying