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We study the stochastic multi-armed bandit (MAB) problem in the presence of side-observations across actions that occur as a result of an underlying network structure. In our model, a bipartite graph captures the relationship between…

机器学习 · 计算机科学 2017-07-14 Swapna Buccapatnam , Fang Liu , Atilla Eryilmaz , Ness B. Shroff

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

数据结构与算法 · 计算机科学 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

Conventional Multi-Armed Bandit (MAB) algorithms are designed for stationary environments, where the reward distributions associated with the arms do not change with time. In many applications, however, the environment is more accurately…

人工智能 · 计算机科学 2025-11-05 Yu-Han Huang , Argyrios Gerogiannis , Subhonmesh Bose , Venugopal V. Veeravalli

We study the Improving Multi-Armed Bandit (IMAB) problem, where the reward obtained from an arm increases with the number of pulls it receives. This model provides an elegant abstraction for many real-world problems in domains such as…

机器学习 · 计算机科学 2022-08-22 Vishakha Patil , Vineet Nair , Ganesh Ghalme , Arindam Khan

In this paper, we introduce the COmbinatorial Multi-Objective Multi-Armed Bandit (COMO-MAB) problem that captures the challenges of combinatorial and multi-objective online learning simultaneously. In this setting, the goal of the learner…

机器学习 · 计算机科学 2018-03-13 Doruk Öner , Altuğ Karakurt , Atilla Eryılmaz , Cem Tekin

This paper considers the multi-armed bandit (MAB) problem and provides a new best-of-both-worlds (BOBW) algorithm that works nearly optimally in both stochastic and adversarial settings. In stochastic settings, some existing BOBW algorithms…

机器学习 · 计算机科学 2022-06-15 Shinji Ito , Taira Tsuchiya , Junya Honda

We consider the combinatorial multi-armed bandit (CMAB) problem, where the reward function is nonlinear. In this setting, the agent chooses a batch of arms on each round and receives feedback from each arm of the batch. The reward that the…

机器学习 · 计算机科学 2020-06-09 Nadav Merlis , Shie Mannor

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

This paper investigates the problem of regret minimization for multi-armed bandit (MAB) problems with local differential privacy (LDP) guarantee. In stochastic bandit systems, the rewards may refer to the users' activities, which may…

机器学习 · 计算机科学 2020-07-08 Wenbo Ren , Xingyu Zhou , Jia Liu , Ness B. Shroff

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

In this paper, we propose a constant word (RAM model) algorithm for regret minimisation for both finite and infinite Stochastic Multi-Armed Bandit (MAB) instances. Most of the existing regret minimisation algorithms need to remember the…

机器学习 · 计算机科学 2019-01-25 Arghya Roy Chaudhuri , Shivaram Kalyanakrishnan

Multi-armed bandit problems are the most basic examples of sequential decision problems with an exploration-exploitation trade-off. This is the balance between staying with the option that gave highest payoffs in the past and exploring new…

机器学习 · 计算机科学 2012-11-06 Sébastien Bubeck , Nicolò Cesa-Bianchi

Multi-armed bandits (MAB) are commonly used in sequential online decision-making when the reward of each decision is an unknown random variable. In practice however, the typical goal of maximizing total reward may be less important than…

机器学习 · 计算机科学 2025-12-22 Ishank Juneja , Carlee Joe-Wong , Osman Yağan

In this paper, we investigate a new multi-armed bandit (MAB) online learning model that considers real-world phenomena in many recommender systems: (i) the learning agent cannot pull the arms by itself and thus has to offer rewards to users…

机器学习 · 计算机科学 2021-06-01 Tianchen Zhou , Jia Liu , Chaosheng Dong , Jingyuan Deng

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

机器学习 · 计算机科学 2020-02-06 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari

We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári

While significant progress has been made in designing algorithms that minimize regret in online decision-making, real-world scenarios often introduce additional complexities, perhaps the most challenging of which is missing outcomes.…

机器学习 · 统计学 2024-11-11 Ilia Mahrooghi , Mahshad Moradi , Sina Akbari , Negar Kiyavash

In this work, we investigate the problem of adapting to the presence or absence of causal structure in multi-armed bandit problems. In addition to the usual reward signal, we assume the learner has access to additional variables, observed…

机器学习 · 计算机科学 2024-07-02 Ziyi Liu , Idan Attias , Daniel M. Roy

We consider the scheduling problem concerning N projects. Each project evolves as a multi-state Markov process. At each time instant, one project is scheduled to work, and some reward depending on the state of the chosen project is…

最优化与控制 · 数学 2016-02-02 Kehao Wang

This paper considers a multi-armed bandit (MAB) problem in which multiple mobile agents receive rewards by sampling from a collection of spatially dispersed stochastic processes, called bandits. The goal is to formulate a decentralized…

机器学习 · 计算机科学 2020-04-01 Pathmanathan Pankayaraj , D. H. S. Maithripala , J. M. Berg