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We propose a {\em novel} piecewise stationary linear bandit (PSLB) model, where the environment randomly samples a context from an unknown probability distribution at each changepoint, and the quality of an arm is measured by its return…

机器学习 · 计算机科学 2024-10-11 Yunlong Hou , Vincent Y. F. Tan , Zixin Zhong

We study exploration in stochastic multi-armed bandits when we have access to a divisible resource that can be allocated in varying amounts to arm pulls. We focus in particular on the allocation of distributed computing resources, where we…

In fixed-confidence best arm identification (BAI), the objective is to quickly identify the optimal option while controlling the probability of error below a desired threshold. Despite the plethora of BAI algorithms, existing methods…

机器学习 · 计算机科学 2026-01-05 Brian M. Cho , Nathan Kallus

Fixed-budget best-arm identification (BAI) is a bandit problem where the agent maximizes the probability of identifying the optimal arm within a fixed budget of observations. In this work, we study this problem in the Bayesian setting. We…

机器学习 · 计算机科学 2023-06-16 Alexia Atsidakou , Sumeet Katariya , Sujay Sanghavi , Branislav Kveton

We consider the fixed-confidence best arm identification (FC-BAI) problem in the Bayesian setting. This problem aims to find the arm of the largest mean with a fixed confidence level when the bandit model has been sampled from the known…

机器学习 · 统计学 2024-06-25 Kyoungseok Jang , Junpei Komiyama , Kazutoshi Yamazaki

I study adversarial attacks against stochastic bandit algorithms. At each round, the learner chooses an arm, and a stochastic reward is generated. The adversary strategically adds corruption to the reward, and the learner is only able to…

机器学习 · 计算机科学 2024-03-18 Shiliang Zuo

We introduce the "inverse bandit" problem of estimating the rewards of a multi-armed bandit instance from observing the learning process of a low-regret demonstrator. Existing approaches to the related problem of inverse reinforcement…

We consider the best arm identification problem, where the goal is to identify the arm with the highest mean reward from a set of $K$ arms under a limited sampling budget. This problem models many practical scenarios such as A/B testing. We…

机器学习 · 统计学 2026-05-05 Junpei Komiyama , Kyoungseok Jang , Junya Honda

This paper studies two variants of the best arm identification (BAI) problem under the streaming model, where we have a stream of $n$ arms with reward distributions supported on $[0,1]$ with unknown means. The arms in the stream are…

机器学习 · 计算机科学 2024-10-24 Tianyuan Jin , Keke Huang , Jing Tang , Xiaokui Xiao

We introduce the Best Group Identification problem in a multi-objective multi-armed bandit setting, where an agent interacts with groups of arms with vector-valued rewards. The performance of a group is determined by an efficiency vector…

机器学习 · 计算机科学 2025-05-26 Mohammad Shahverdikondori , Mohammad Reza Badri , Negar Kiyavash

We consider the decentralized exploration problem: a set of players collaborate to identify the best arm by asynchronously interacting with the same stochastic environment. The objective is to insure privacy in the best arm identification…

机器学习 · 计算机科学 2023-01-18 Raphaël Féraud , Réda Alami , Romain Laroche

We consider a decentralized stochastic multi-armed bandit problem with multiple players. Each player aims to maximize his/her own reward by pulling an arm. The arms give rewards based on i.i.d. stochastic Bernoulli distributions. Players…

机器学习 · 计算机科学 2017-12-05 Noyan Evirgen , Alper Kose , Hakan Gokcesu

This work considers the problem of selective-sampling for best-arm identification. Given a set of potential options $\mathcal{Z}\subset\mathbb{R}^d$, a learner aims to compute with probability greater than $1-\delta$, $\arg\max_{z\in…

机器学习 · 计算机科学 2021-11-03 Romain Camilleri , Zhihan Xiong , Maryam Fazel , Lalit Jain , Kevin Jamieson

The beam alignment (BA) problem consists in accurately aligning the transmitter and receiver beams to establish a reliable communication link in wireless communication systems. Existing BA methods search the entire beam space to identify…

信息论 · 计算机科学 2022-10-25 Yi Wei , Zixin Zhong , Vincent Y. F. Tan

This work formulates model selection as an infinite-armed bandit problem, namely, a problem in which a decision maker iteratively selects one of an infinite number of fixed choices (i.e., arms) when the properties of each choice are only…

神经与进化计算 · 计算机科学 2024-06-21 Margaux Brégère , Julie Keisler

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

机器学习 · 统计学 2016-10-17 Tor Lattimore , Csaba Szepesvari

In the latent bandit problem, the learner has access to reward distributions and -- for the non-stationary variant -- transition models of the environment. The reward distributions are conditioned on the arm and unknown latent states. The…

机器学习 · 计算机科学 2022-07-11 Alexander Galozy , Slawomir Nowaczyk

We study the combinatorial pure exploration problem Best-Set in stochastic multi-armed bandits. In a Best-Set instance, we are given $n$ arms with unknown reward distributions, as well as a family $\mathcal{F}$ of feasible subsets over the…

机器学习 · 计算机科学 2017-06-06 Lijie Chen , Anupam Gupta , Jian Li , Mingda Qiao , Ruosong Wang

We propose a novel technique for analyzing adaptive sampling called the {\em Simulator}. Our approach differs from the existing methods by considering not how much information could be gathered by any fixed sampling strategy, but how…

机器学习 · 计算机科学 2023-04-25 Max Simchowitz , Kevin Jamieson , Benjamin Recht

We study \emph{multi-armed bandits} (MABs) augmented with \emph{best-action queries}, in which the learner may additionally query an oracle that reveals the best arm in the current round. This setting was recently characterized by Russo et…

机器学习 · 计算机科学 2026-05-12 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Francesco Emanuele Stradi