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Related papers: Online Convex Optimization with Unbounded Memory

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This paper presents a new framework for analyzing and designing no-regret algorithms for dynamic (possibly adversarial) systems. The proposed framework generalizes the popular online convex optimization framework and extends it to its…

Machine Learning · Computer Science 2016-08-30 Ian Gemp , Sridhar Mahadevan

Practical online learning tasks are often naturally defined on unconstrained domains, where optimal algorithms for general convex losses are characterized by the notion of comparator adaptivity. In this paper, we design such algorithms in…

Machine Learning · Computer Science 2022-10-13 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

Kernel online convex optimization (KOCO) is a framework combining the expressiveness of non-parametric kernel models with the regret guarantees of online learning. First-order KOCO methods such as functional gradient descent require only…

Machine Learning · Statistics 2017-06-16 Daniele Calandriello , Alessandro Lazaric , Michal Valko

We explore whether quantum advantages can be found for the zeroth-order online convex optimization problem, which is also known as bandit convex optimization with multi-point feedback. In this setting, given access to zeroth-order oracles…

Quantum Physics · Physics 2022-04-04 Jianhao He , Feidiao Yang , Jialin Zhang , Lvzhou Li

We propose and study an online version of min-max optimization based on cumulative saddle points under a variety of performance measures beyond convex-concave settings. After first observing the incompatibility of (static) Nash equilibrium…

Machine Learning · Computer Science 2026-02-12 Abhijeet Vyas , Brian Bullins

Universal online learning aims to achieve optimal regret guarantees without requiring prior knowledge of the curvature of online functions. Existing methods have established minimax-optimal regret bounds for universal online learning, where…

Machine Learning · Computer Science 2025-11-26 Peng Zhao , Yu-Hu Yan , Hang Yu , Zhi-Hua Zhou

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi

Motivated by the stringent safety requirements that are often present in real-world applications, we study a safe online convex optimization setting where the player needs to simultaneously achieve sublinear regret and zero constraint…

Machine Learning · Computer Science 2024-07-17 Spencer Hutchinson , Mahnoosh Alizadeh

To deal with complicated constraints via locally light computations in distributed online learning, a recent study has presented a projection-free algorithm called distributed online conditional gradient (D-OCG), and achieved an…

Machine Learning · Computer Science 2022-06-15 Yuanyu Wan , Guanghui Wang , Wei-Wei Tu , Lijun Zhang

We consider the problem of transfer learning in an online setting. Different tasks are presented sequentially and processed by a within-task algorithm. We propose a lifelong learning strategy which refines the underlying data representation…

Machine Learning · Statistics 2019-10-14 Pierre Alquier , The Tien Mai , Massimiliano Pontil

This paper studies online convex optimization with unknown linear budget constraints, where only the gradient information of the objective and the bandit feedback of constraint functions are observed. We propose a safe and efficient…

Optimization and Control · Mathematics 2025-03-10 Shanqi Liu , Xin Liu

In this paper, we study online convex optimization in dynamic environments, and aim to bound the dynamic regret with respect to any sequence of comparators. Existing work have shown that online gradient descent enjoys an…

Machine Learning · Computer Science 2018-10-26 Lijun Zhang , Shiyin Lu , Zhi-Hua Zhou

This paper considers distributed online convex optimization with adversarial constraints. In this setting, a network of agents makes decisions at each round, and then only a portion of the loss function and a coordinate block of the…

Optimization and Control · Mathematics 2023-06-02 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Yiguang Hong , Tianyou Chai , Karl H. Johansson

Online meta-learning is emerging as an enabling technique for achieving edge intelligence in the IoT ecosystem. Nevertheless, to learn a good meta-model for within-task fast adaptation, a single agent alone has to learn over many tasks, and…

Machine Learning · Computer Science 2020-12-22 Sen Lin , Mehmet Dedeoglu , Junshan Zhang

Algorithms for online learning typically require one or more boundedness assumptions: that the domain is bounded, that the losses are Lipschitz, or both. In this paper, we develop a new setting for online learning with unbounded domains and…

Machine Learning · Computer Science 2023-07-18 Andrew Jacobsen , Ashok Cutkosky

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

A recent line of work has established uncoupled learning dynamics such that, when employed by all players in a game, each player's \emph{regret} after $T$ repetitions grows polylogarithmically in $T$, an exponential improvement over the…

Computer Science and Game Theory · Computer Science 2022-10-18 Gabriele Farina , Ioannis Anagnostides , Haipeng Luo , Chung-Wei Lee , Christian Kroer , Tuomas Sandholm

Regret minimization is a powerful tool for solving large-scale extensive-form games. State-of-the-art methods rely on minimizing regret locally at each decision point. In this work we derive a new framework for regret minimization on…

Computer Science and Game Theory · Computer Science 2018-09-11 Gabriele Farina , Christian Kroer , Tuomas Sandholm

In this paper, we consider the problem of distributed online convex optimization, where a group of agents collaborate to track the global minimizers of a sum of time-varying objective functions in an online manner. Specifically, we propose…

Optimization and Control · Mathematics 2020-10-14 Yan Zhang , Robert J. Ravier , Vahid Tarokh , Michael M. Zavlanos

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

Machine Learning · Computer Science 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman