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We consider the classic problem of online convex optimisation. Whereas the notion of static regret is relevant for stationary problems, the notion of switching regret is more appropriate for non-stationary problems. A switching regret is…

机器学习 · 计算机科学 2025-03-07 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis , Mark Herbster

We consider online learning problems where the aim is to achieve regret which is efficient in the sense that it is the same order as the lowest regret amongst K experts. This is a substantially stronger requirement that achieving…

机器学习 · 计算机科学 2019-11-12 Daron Anderson , Douglas J. Leith

We address online linear optimization problems when the possible actions of the decision maker are represented by binary vectors. The regret of the decision maker is the difference between her realized loss and the best loss she would have…

机器学习 · 计算机科学 2013-04-02 Jean-Yves Audibert , Sébastien Bubeck , Gábor Lugosi

We study various discrete nonlinear combinatorial optimization problems in an online learning framework. In the first part, we address the question of whether there are negative results showing that getting a vanishing (or even vanishing…

数据结构与算法 · 计算机科学 2020-06-24 Evripidis Bampis , Dimitris Christou , Bruno Escoffier , Nguyen Kim Thang

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.…

机器学习 · 计算机科学 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

机器学习 · 计算机科学 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

We consider online convex optimization with time-varying constraints and conduct performance analysis using two stringent metrics: dynamic regret with respect to the online solution benchmark, and hard constraint violation that does not…

机器学习 · 计算机科学 2025-01-15 Juncheng Wang , Bingjie Yan , Yituo Liu

Online learning algorithms that minimize regret provide strong guarantees in situations that involve repeatedly making decisions in an uncertain environment, e.g. a driver deciding what route to drive to work every day. While regret…

计算机科学与博弈论 · 计算机科学 2013-09-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Arunesh Sinha

Online learning has traditionally focused on the expected rewards. In this paper, a risk-averse online learning problem under the performance measure of the mean-variance of the rewards is studied. Both the bandit and full information…

机器学习 · 统计学 2019-03-15 Sattar Vakili , Alexis Boukouvalas , Qing Zhao

In this paper, we investigate the existence of online learning algorithms with bandit feedback that simultaneously guarantee $O(1)$ regret compared to a given comparator strategy, and $\tilde{O}(\sqrt{T})$ regret compared to any fixed…

机器学习 · 计算机科学 2025-06-05 Adrian Müller , Jon Schneider , Stratis Skoulakis , Luca Viano , Volkan Cevher

In the setting of online learning, Implicit algorithms turn out to be highly successful from a practical standpoint. However, the tightest regret analyses only show marginal improvements over Online Mirror Descent. In this work, we shed…

机器学习 · 计算机科学 2020-11-10 Nicolò Campolongo , Francesco Orabona

We introduce an online convex optimization algorithm which utilizes projected subgradient descent with optimal adaptive learning rates. Our method provides second-order minimax-optimal dynamic regret guarantee (i.e. dependent on the sum of…

最优化与控制 · 数学 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

In this paper, we improve the regret bound for online kernel selection under bandit feedback. Previous algorithm enjoys a $O((\Vert f\Vert^2_{\mathcal{H}_i}+1)K^{\frac{1}{3}}T^{\frac{2}{3}})$ expected bound for Lipschitz loss functions. We…

机器学习 · 计算机科学 2023-03-24 Junfan Li , Shizhong Liao

We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

机器学习 · 计算机科学 2020-06-24 Dylan J. Foster , Max Simchowitz

We revisit the challenge of designing online algorithms for the bandit convex optimization problem (BCO) which are also scalable to high dimensional problems. Hence, we consider algorithms that are \textit{projection-free}, i.e., based on…

机器学习 · 计算机科学 2019-10-09 Dan Garber , Ben Kretzu

Constrained Online Convex Optimization (COCO) can be seen as a generalization of the standard Online Convex Optimization (OCO) framework. At each round, a cost function and constraint function are revealed after a learner chooses an action.…

机器学习 · 计算机科学 2025-05-30 Ricardo N. Ferreira , Cláudia Soares

Crucial performance metrics of a caching algorithm include its ability to quickly and accurately learn a popularity distribution of requests. However, a majority of work on analytical performance analysis focuses on hit probability after an…

网络与互联网体系结构 · 计算机科学 2020-04-02 Archana Bura , Desik Rengarajan , Dileep Kalathil , Srinivas Shakkottai , Jean-Francois Chamberland-Tremblay

We study a variant of online convex optimization where the player is permitted to switch decisions at most $S$ times in expectation throughout $T$ rounds. Similar problems have been addressed in prior work for the discrete decision set…

机器学习 · 计算机科学 2023-09-19 Uri Sherman , Tomer Koren

We propose the first reduction-based approach to obtaining long-term memory guarantees for online learning in the sense of Bousquet and Warmuth, 2002, by reducing the problem to achieving typical switching regret. Specifically, for the…

机器学习 · 计算机科学 2019-10-29 Kai Zheng , Haipeng Luo , Ilias Diakonikolas , Liwei Wang

Inspired by the demands of real-time climate and weather forecasting, we develop optimistic online learning algorithms that require no parameter tuning and have optimal regret guarantees under delayed feedback. Our algorithms -- DORM,…