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相关论文: Rising Multi-Armed Bandits with Known Horizons

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Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such…

机器学习 · 计算机科学 2014-10-30 Onur Atan , Cem Tekin , Mihaela van der Schaar

Upper Confidence Bound (UCB) is arguably the most commonly used method for linear multi-arm bandit problems. While conceptually and computationally simple, this method highly relies on the confidence bounds, failing to strike the optimal…

机器学习 · 计算机科学 2020-06-05 Kaige Yang , Laura Toni

Multi-armed bandit models have proven to be useful in modeling many real world problems in the areas of control and sequential decision making with partial information. However, in many scenarios, such as those prevalent in healthcare and…

最优化与控制 · 数学 2024-08-27 Qinyang He , Yonatan Mintz

The multi-armed bandit (MAB) is a classical online optimization model for the trade-off between exploration and exploitation. The traditional MAB is concerned with finding the arm that minimizes the mean cost. However, minimizing the mean…

最优化与控制 · 数学 2018-09-17 Jianyu Xu , William B. Haskell , Zhisheng Ye

This paper addresses the poor finite-horizon performance of existing online \emph{restless bandit} (RB) algorithms, which stems from the prohibitive sample complexity of learning a full \emph{Markov decision process} (MDP) for each agent.…

机器学习 · 计算机科学 2026-04-07 Jiamin Xu , Ivan Nazarov , Aditya Rastogi , África Periáñez , Kyra Gan

E-commerce sites strive to provide users the most timely relevant information in order to reduce shopping frictions and increase customer satisfaction. Multi armed bandit models (MAB) as a type of adaptive optimization algorithms provide…

信息检索 · 计算机科学 2021-08-23 Ding Xiang , Becky West , Jiaqi Wang , Xiquan Cui , Jinzhou Huang

Restless multi-armed bandits (RMAB) extend multi-armed bandits so pulling an arm impacts future states. Despite the success of RMABs, a key limiting assumption is the separability of rewards into a sum across arms. We address this…

机器学习 · 计算机科学 2024-06-11 Naveen Raman , Zheyuan Ryan Shi , Fei Fang

Restless multi-armed bandits (RMAB) is a framework for allocating limited resources under uncertainty. It is an extremely useful model for monitoring beneficiaries and executing timely interventions to ensure maximum benefit in public…

机器学习 · 计算机科学 2022-07-28 Dexun Li , Pradeep Varakantham

We consider a novel multi-armed bandit framework where the rewards obtained by pulling the arms are functions of a common latent random variable. The correlation between arms due to the common random source can be used to design a…

机器学习 · 统计学 2019-01-31 Samarth Gupta , Gauri Joshi , Osman Yağan

We consider a class of restless multi-armed bandit (RMAB) problems with unknown arm dynamics. At each time, a player chooses an arm out of N arms to play, referred to as an active arm, and receives a random reward from a finite set of…

机器学习 · 计算机科学 2019-06-20 Tomer Gafni , Kobi Cohen

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

最优化与控制 · 数学 2025-05-12 Yu Bai , Yiming Li , Xi Xiong

In a typical stochastic multi-armed bandit problem, the objective is often to maximize the expected sum of rewards over some time horizon $T$. While the choice of a strategy that accomplishes that is optimal with no additional information,…

机器学习 · 计算机科学 2023-11-01 Reda Alami , Mohammed Mahfoud , Mastane Achab

The multi-armed bandit (MAB) model has been widely adopted for studying many practical optimization problems (network resource allocation, ad placement, crowdsourcing, etc.) with unknown parameters. The goal of the player here is to…

机器学习 · 计算机科学 2019-11-21 Fengjiao Li , Jia Liu , Bo Ji

We study replicable algorithms for stochastic multi-armed bandits (MAB) and linear bandits with UCB (Upper Confidence Bound) based exploration. A bandit algorithm is $\rho$-replicable if two executions using shared internal randomness but…

机器学习 · 计算机科学 2026-04-23 Rohan Deb , Udaya Ghai , Karan Singh , Arindam Banerjee

We consider the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

统计理论 · 数学 2008-12-18 Aurélien Garivier , Eric Moulines

In many application domains (e.g., recommender systems, intelligent tutoring systems), the rewards associated to the actions tend to decrease over time. This decay is either caused by the actions executed in the past (e.g., a user may get…

机器学习 · 统计学 2026-04-24 Julien Seznec , Pierre Ménard , Alessandro Lazaric , Michal Valko

We consider a multi-armed bandit problem in which a set of arms is registered by each agent, and the agent receives reward when its arm is selected. An agent might strategically submit more arms with replications, which can bring more…

机器学习 · 计算机科学 2021-10-26 Suho Shin , Seungjoon Lee , Jungseul Ok

We study the stochastic Budgeted Multi-Armed Bandit (MAB) problem, where a player chooses from $K$ arms with unknown expected rewards and costs. The goal is to maximize the total reward under a budget constraint. A player thus seeks to…

机器学习 · 计算机科学 2023-08-16 Marco Heyden , Vadim Arzamasov , Edouard Fouché , Klemens Böhm

In a multi-armed bandit (MAB) problem a gambler needs to choose at each round of play one of K arms, each characterized by an unknown reward distribution. Reward realizations are only observed when an arm is selected, and the gambler's…

机器学习 · 计算机科学 2019-06-11 Omar Besbes , Yonatan Gur , Assaf Zeevi