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This paper considers the problem of distributed bandit online convex optimization with time-varying coupled inequality constraints. This problem can be defined as a repeated game between a group of learners and an adversary. The learners…

Optimization and Control · Mathematics 2019-12-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Karl H. Johansson , Tianyou Chai

In this paper we propose a framework for solving constrained online convex optimization problem. Our motivation stems from the observation that most algorithms proposed for online convex optimization require a projection onto the convex set…

Machine Learning · Computer Science 2012-10-01 Mehrdad Mahdavi , Rong Jin , Tianbao Yang

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…

Optimization and Control · Mathematics 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

This paper studies bandit convex optimization in non-stationary environments with two-point feedback, using dynamic regret as the performance measure. We propose an algorithm based on bandit mirror descent that extends naturally to…

Optimization and Control · Mathematics 2026-05-26 Chang He , Bo Jiang , Shuzhong Zhang

We address the online linear optimization problem with bandit feedback. Our contribution is twofold. First, we provide an algorithm (based on exponential weights) with a regret of order $\sqrt{d n \log N}$ for any finite action set with $N$…

Machine Learning · Computer Science 2012-02-15 Sébastien Bubeck , Nicolò Cesa-Bianchi , Sham M. Kakade

Decentralized online convex optimization (D-OCO), where multiple agents within a network collaboratively learn optimal decisions in real-time, arises naturally in applications such as federated learning, sensor networks, and multi-agent…

Machine Learning · Statistics 2026-01-14 Hao Qiu , Mengxiao Zhang , Juliette Achddou

We propose a novel approach for analyzing dynamic regret of first-order constrained online convex optimization algorithms for strongly convex and Lipschitz-smooth objectives. Crucially, we provide a general analysis that is applicable to a…

Optimization and Control · Mathematics 2025-08-22 Fabian Jakob , Andrea Iannelli

We consider the problem of strongly-convex online optimization in presence of adversarial delays; in a T-iteration online game, the feedback of the player's query at time t is arbitrarily delayed by an adversary for d_t rounds and delivered…

Machine Learning · Computer Science 2019-09-12 Daniel Khashabi , Kent Quanrud , Amirhossein Taghvaei

Bandit convex optimization (BCO) is a fundamental online learning framework with partial feedback, where the learner observes only the loss incurred at the chosen decision point in each round. In this work, we investigate whether optimistic…

Machine Learning · Computer Science 2026-05-22 Shuche Wang , Adarsh Barik , Vincent Y. F. Tan

We propose an Online Learning with Local Permutations (OLLP) setting, in which the learner is allowed to slightly permute the \emph{order} of the loss functions generated by an adversary. On one hand, this models natural situations where…

Machine Learning · Computer Science 2017-03-14 Ohad Shamir , Liran Szlak

We study the problems of distributed online and bandit convex optimization against an adaptive adversary. We aim to minimize the average regret on $M$ machines working in parallel over $T$ rounds with $R$ intermittent communications.…

Machine Learning · Computer Science 2023-11-30 Kumar Kshitij Patel , Lingxiao Wang , Aadirupa Saha , Nati Sebro

We study online inverse linear optimization, also known as contextual recommendation, where a learner sequentially infers an agent's hidden objective vector from observed optimal actions over feasible sets that change over time. The learner…

Machine Learning · Computer Science 2026-05-13 Taihei Oki , Shinsaku Sakaue

We study online maximization of non-monotone Diminishing-Return(DR)-submodular functions over down-closed convex sets, a regime where existing projection-free online methods suffer from suboptimal regret and limited feedback guarantees. Our…

Machine Learning · Computer Science 2026-02-25 Yiyang Lu , Haresh Jadav , Mohammad Pedramfar , Ranveer Singh , Vaneet Aggarwal

We investigate online convex optimization in non-stationary environments and choose dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

Machine Learning · Computer Science 2024-04-09 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

We consider the problem of Online Convex Optimization (OCO) with two-point bandit feedback. In this setting, a player attempts to minimize a sequence of adversarially generated convex loss functions, while only observing the value of each…

Machine Learning · Computer Science 2026-04-07 Haishan Ye

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…

Machine Learning · Computer Science 2019-10-09 Dan Garber , Ben Kretzu

This paper studies bandit convex optimization with constraints, where the learner aims to generate a sequence of decisions under partial information of loss functions such that the cumulative loss is reduced as well as the cumulative…

Machine Learning · Computer Science 2023-10-18 Yasunari Hikima

We consider the problem of online regret minimization in linear bandits with access to prior observations (offline data) from the underlying bandit model. There are numerous applications where extensive offline data is often available, such…

Machine Learning · Computer Science 2026-05-13 Sushant Vijayan , Arun Suggala , Karthikeyan Shanmugam , Soumyabrata Pal

The regret bound of dynamic online learning algorithms is often expressed in terms of the variation in the function sequence ($V_T$) and/or the path-length of the minimizer sequence after $T$ rounds. For strongly convex and smooth…

Machine Learning · Computer Science 2020-08-17 Ting-Jui Chang , Shahin Shahrampour

We study non-convex delayed-noise online optimization problems by evaluating dynamic regret in the non-stationary setting when the loss functions are quasar-convex. In particular, we consider scenarios involving quasar-convex functions…

Optimization and Control · Mathematics 2026-01-08 Felipe Lara , Cristian Vega