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We propose $\tt RandUCB$, a bandit strategy that builds on theoretically derived confidence intervals similar to upper confidence bound (UCB) algorithms, but akin to Thompson sampling (TS), it uses randomization to trade off exploration and…

机器学习 · 计算机科学 2020-03-24 Sharan Vaswani , Abbas Mehrabian , Audrey Durand , Branislav Kveton

Large language models (LLMs) have been adopted to solve sequential decision-making tasks such as multi-armed bandits (MAB), in which an LLM is directly instructed to select the arms to pull in every iteration. However, this paradigm of…

机器学习 · 计算机科学 2025-02-04 Jiahang Sun , Zhiyong Wang , Runhan Yang , Chenjun Xiao , John C. S. Lui , Zhongxiang Dai

Contextual dueling bandit is used to model the bandit problems, where a learner's goal is to find the best arm for a given context using observed noisy human preference feedback over the selected arms for the past contexts. However,…

机器学习 · 计算机科学 2025-04-17 Arun Verma , Zhongxiang Dai , Xiaoqiang Lin , Patrick Jaillet , Bryan Kian Hsiang Low

This paper is about index policies for minimizing (frequentist) regret in a stochastic multi-armed bandit model, inspired by a Bayesian view on the problem. Our main contribution is to prove that the Bayes-UCB algorithm, which relies on…

机器学习 · 统计学 2017-11-07 Emilie Kaufmann

We study Contextual Multi-Armed Bandits (CMABs) for non-episodic sequential decision making problems where the context includes both textual and numerical information (e.g., recommendation systems, dynamic portfolio adjustments, offer…

人工智能 · 计算机科学 2026-04-08 Uljad Berdica , Fernando Acero , Anton Ipsen , Parisa Zehtabi , Michael Cashmore , Manuela Veloso

This work explores adaptations of successful multi-armed bandits policies to the online contextual bandits scenario with binary rewards using binary classification algorithms such as logistic regression as black-box oracles. Some of these…

机器学习 · 计算机科学 2019-11-26 David Cortes

We study contextual bandits in the presence of a stage-wise constraint when the constraint must be satisfied both with high probability and in expectation. We start with the linear case where both the reward function and the stage-wise…

机器学习 · 计算机科学 2025-08-22 Aldo Pacchiano , Mohammad Ghavamzadeh , Peter Bartlett

Recommender systems are a ubiquitous feature of online platforms. Increasingly, they are explicitly tasked with increasing users' long-term satisfaction. In this context, we study a content exploration task, which we formalize as a…

机器学习 · 计算机科学 2023-07-21 Thomas M. McDonald , Lucas Maystre , Mounia Lalmas , Daniel Russo , Kamil Ciosek

Automating physical database design has remained a long-term interest in database research due to substantial performance gains afforded by optimised structures. Despite significant progress, a majority of today's commercial solutions are…

Consider a bandit algorithm that recommends actions to self-interested users in a recommendation system. The users are free to choose other actions and need to be incentivized to follow the algorithm's recommendations. While the users…

机器学习 · 计算机科学 2022-06-02 Xinyan Hu , Dung Daniel Ngo , Aleksandrs Slivkins , Zhiwei Steven Wu

We consider a variant of the classic multi-armed bandit problem where the expected reward of each arm is a function of an unknown parameter. The arms are divided into different groups, each of which has a common parameter. Therefore, when…

机器学习 · 计算机科学 2018-02-23 Zhiyang Wang , Ruida Zhou , Cong Shen

The problem of combinatorial multi-armed bandits with probabilistically triggered arms (CMAB-T) has been extensively studied. Prior work primarily focuses on either the online setting where an agent learns about the unknown environment…

机器学习 · 计算机科学 2025-12-29 Kongchang Zhou , Tingyu Zhang , Wei Chen , Fang Kong

Although many algorithms for the multi-armed bandit problem are well-understood theoretically, empirical confirmation of their effectiveness is generally scarce. This paper presents a thorough empirical study of the most popular multi-armed…

人工智能 · 计算机科学 2014-02-26 Volodymyr Kuleshov , Doina Precup

We consider the stochastic multi-armed bandit problem and the contextual bandit problem with historical observations and pre-clustered arms. The historical observations can contain any number of instances for each arm, and the…

机器学习 · 计算机科学 2019-06-11 Djallel Bouneffouf , Srinivasan Parthasarathy , Horst Samulowitz , Martin Wistub

We consider a variant of the multi-armed bandit model, which we call multi-armed bandit problem with known trend, where the gambler knows the shape of the reward function of each arm but not its distribution. This new problem is motivated…

机器学习 · 计算机科学 2017-05-15 Djallel Bouneffouf , Raphaël Feraud

We investigate the challenging problem of adversarial multi-armed bandits operating under time-varying constraints, a scenario motivated by numerous real-world applications. To address this complex setting, we propose a novel primal-dual…

机器学习 · 计算机科学 2026-01-28 Tareq Si Salem

We develop a general theory to optimize the frequentist regret for sequential learning problems, where efficient bandit and reinforcement learning algorithms can be derived from unified Bayesian principles. We propose a novel optimization…

机器学习 · 计算机科学 2024-02-12 Yunbei Xu , Assaf Zeevi

We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic regret matches the lower bound of…

统计理论 · 数学 2011-06-01 Odalric-Ambrym Maillard , Rémi Munos , Gilles Stoltz

Mixed-integer programming (MIP) is a powerful paradigm for modeling and solving various important combinatorial optimization problems. Recently, learning-based approaches have shown a potential to speed up MIP solving via offline training…

人工智能 · 计算机科学 2025-07-24 Junyang Cai , Serdar Kadioglu , Bistra Dilkina

We consider a continuous time two-armed bandit problem in which incomes are described by Poissonian processes. We develop Bayesian approach with arbitrary prior distribution. We present two versions of recursive equation for determination…

统计理论 · 数学 2019-07-16 Alexander Kolnogorov