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We present and study a partial-information model of online learning, where a decision maker repeatedly chooses from a finite set of actions, and observes some subset of the associated losses. This naturally models several situations where…

机器学习 · 计算机科学 2014-10-01 Noga Alon , Nicolò Cesa-Bianchi , Claudio Gentile , Shie Mannor , Yishay Mansour , Ohad Shamir

The stochastic multi-arm bandit problem has been extensively studied under standard assumptions on the arm's distribution (e.g bounded with known support, exponential family, etc). These assumptions are suitable for many real-world problems…

机器学习 · 统计学 2021-11-19 Dorian Baudry , Patrick Saux , Odalric-Ambrym Maillard

We study finite-armed semiparametric bandits, where each arm's reward combines a linear component with an unknown, potentially adversarial shift. This model strictly generalizes classical linear bandits and reflects complexities common in…

机器学习 · 统计学 2025-06-18 Seok-Jin Kim , Gi-Soo Kim , Min-hwan Oh

We introduce a novel online learning framework that unifies and generalizes pre-established models, such as delayed and corrupted feedback, to encompass adversarial environments where action feedback evolves over time. In this setting, the…

机器学习 · 计算机科学 2024-05-28 Yogev Bar-On , Yishay Mansour

We investigate finite stochastic partial monitoring, which is a general model for sequential learning with limited feedback. While Thompson sampling is one of the most promising algorithms on a variety of online decision-making problems,…

机器学习 · 统计学 2021-06-11 Taira Tsuchiya , Junya Honda , Masashi Sugiyama

Efficient exploration remains a major challenge for reinforcement learning. One reason is that the variability of the returns often depends on the current state and action, and is therefore heteroscedastic. Classical exploration strategies…

机器学习 · 计算机科学 2019-03-26 Nikolay Nikolov , Johannes Kirschner , Felix Berkenkamp , Andreas Krause

In this paper, we consider a best action identification problem in the stochastic linear bandit setup with a fixed confident constraint. In the considered best action identification problem, instead of minimizing the accumulative regret as…

机器学习 · 计算机科学 2018-12-04 Jun Geng , Lifeng Lai

Partial monitoring is a generalization of the well-known multi-armed bandit framework where the loss is not directly observed by the learner. We complete the classification of finite adversarial partial monitoring to include all games,…

机器学习 · 计算机科学 2018-05-24 Tor Lattimore , Csaba Szepesvari

We consider stochastic non-stationary linear bandits where the linear parameter connecting contexts to the reward changes over time. Existing algorithms in this setting localize the policy by gradually discarding or down-weighting past…

机器学习 · 统计学 2026-03-05 Margherita Lazzaretto , Jonas Peters , Niklas Pfister

The stochastic multi-armed bandit problem is a well-known model for studying the exploration-exploitation trade-off. It has significant possible applications in adaptive clinical trials, which allow for dynamic changes in the treatment…

机器学习 · 计算机科学 2019-06-11 Hossein Aboutalebi , Doina Precup , Tibor Schuster

In this work, we develop linear bandit algorithms that automatically adapt to different environments. By plugging a novel loss estimator into the optimization problem that characterizes the instance-optimal strategy, our first algorithm not…

机器学习 · 计算机科学 2021-06-15 Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei , Mengxiao Zhang , Xiaojin Zhang

Contextual bandits are a central framework for sequential decision-making, with applications ranging from recommendation systems to clinical trials. While nonparametric methods can flexibly model complex reward structures, they suffer from…

统计理论 · 数学 2026-01-01 Wanteng Ma , T. Tony Cai

Partial monitoring is a generic framework for sequential decision-making with incomplete feedback. It encompasses a wide class of problems such as dueling bandits, learning with expect advice, dynamic pricing, dark pools, and label…

机器学习 · 计算机科学 2024-06-27 Pratik Gajane , Tanguy Urvoy

We consider the problem of adversarial (non-stochastic) online learning with partial information feedback, where at each round, a decision maker selects an action from a finite set of alternatives. We develop a black-box approach for such…

机器学习 · 计算机科学 2021-07-28 Thodoris Lykouris , Karthik Sridharan , Eva Tardos

We study stochastic linear bandits where, in each round, the learner receives a set of actions (i.e., feature vectors), from which it chooses an element and obtains a stochastic reward. The expected reward is a fixed but unknown linear…

机器学习 · 计算机科学 2024-06-04 Tianyuan Jin , Kyoungseok Jang , Nicolò Cesa-Bianchi

We study bandit learning in matching markets, where players and arms constitute the two market sides, and the players' utilities are linear in the arm contexts. In each round, new arms arrive with observable contexts. Then, the algorithm…

机器学习 · 计算机科学 2026-05-28 Shiyun Lin , Simon Mauras , Vianney Perchet , Nadav Merlis

We present a new anytime algorithm that achieves near-optimal regret for any instance of finite stochastic partial monitoring. In particular, the new algorithm achieves the minimax regret, within logarithmic factors, for both "easy" and…

机器学习 · 计算机科学 2012-07-03 Gabor Bartok , Navid Zolghadr , Csaba Szepesvari

We study the problem of regret minimization in a multi-armed bandit setup where the agent is allowed to play multiple arms at each round by spreading the resources usually allocated to only one arm. At each iteration the agent selects a…

机器学习 · 计算机科学 2021-06-01 Matias I. Müller , Cristian R. Rojas

We study the stochastic linear bandit problem with multiple arms over $T$ rounds, where the covariate dimension $d$ may exceed $T$, but each arm-specific parameter vector is $s$-sparse. We begin by analyzing the sequential estimation…

统计理论 · 数学 2025-05-26 Jingyu Liu , Yanglei Song

We study the linear stochastic bandit problem, relaxing the standard i.i.d. assumption on the observation noise. As an alternative to this restrictive assumption, we allow the noise terms across rounds to be sub-Gaussian but interdependent,…

机器学习 · 统计学 2025-05-28 Baptiste Abélès , Eugenio Clerico , Hamish Flynn , Gergely Neu