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We study the best-arm identification problem in multi-armed bandits with stochastic, potentially private rewards, when the goal is to identify the arm with the highest quantile at a fixed, prescribed level. First, we propose a (non-private)…

In this paper, we study a variant of best-arm identification involving elements of risk sensitivity and communication constraints. Specifically, the goal of the learner is to identify the arm with the highest quantile reward, while the…

机器学习 · 统计学 2025-02-11 Ivan Lau , Jonathan Scarlett

We consider the best-arm identification problem in multi-armed bandits, which focuses purely on exploration. A player is given a fixed budget to explore a finite set of arms, and the rewards of each arm are drawn independently from a fixed,…

机器学习 · 统计学 2017-08-02 Shahin Shahrampour , Mohammad Noshad , Vahid Tarokh

In the Best-$K$ identification problem (Best-$K$-Arm), we are given $N$ stochastic bandit arms with unknown reward distributions. Our goal is to identify the $K$ arms with the largest means with high confidence, by drawing samples from the…

机器学习 · 计算机科学 2017-05-22 Haotian Jiang , Jian Li , Mingda Qiao

We consider the problem of best arm identification in a variant of multi-armed bandits called linked bandits. In a single interaction with linked bandits, multiple arms are played sequentially until one of them receives a positive reward.…

机器学习 · 计算机科学 2019-01-29 Anant Gupta

In bandit best-arm identification, an algorithm is tasked with finding the arm with highest mean reward with a specified accuracy as fast as possible. We study multi-fidelity best-arm identification, in which the algorithm can choose to…

机器学习 · 计算机科学 2025-05-27 Riccardo Poiani , Rémy Degenne , Emilie Kaufmann , Alberto Maria Metelli , Marcello Restelli

We consider a variant of the best arm identification task in stochastic multi-armed bandits. Motivated by risk-averse decision-making problems, our goal is to identify a set of $m$ arms with the highest $\tau$-quantile values within a fixed…

机器学习 · 计算机科学 2023-02-22 Mengyan Zhang , Cheng Soon Ong

We consider the best arm identification (BAI) problem in the $K-$armed bandit framework with a modification - the agent is allowed to play a subset of arms at each time slot instead of one arm. Consequently, the agent observes the sample…

机器学习 · 计算机科学 2026-01-30 Siddhartha Parupudi , Gourab Ghatak

We investigate top-$m$ arm identification, a basic problem in bandit theory, in a multi-agent learning model in which agents collaborate to learn an objective function. We are interested in designing collaborative learning algorithms that…

机器学习 · 计算机科学 2022-11-29 Nikolai Karpov , Qin Zhang

We consider the problem of best arm identification in the multi-armed bandit model, under fixed confidence. Given a confidence input $\delta$, the goal is to identify the arm with the highest mean reward with a probability of at least 1 --…

机器学习 · 统计学 2023-12-21 El Mehdi Saad , Gilles Blanchard , Nicolas Verzelen

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several stochastic arms, each a source of i.i.d. rewards of unknown distribution. At each time step the agent chooses an arm, and observes the reward of the…

机器学习 · 统计学 2015-12-25 Yahel David , Nahum Shimkin

This paper investigates the problem of best arm identification in $\textit{contaminated}$ stochastic multi-arm bandits. In this setting, the rewards obtained from any arm are replaced by samples from an adversarial model with probability…

机器学习 · 计算机科学 2021-11-16 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

Best arm identification (or, pure exploration) in multi-armed bandits is a fundamental problem in machine learning. In this paper we study the distributed version of this problem where we have multiple agents, and they want to learn the…

机器学习 · 计算机科学 2019-09-02 Chao Tao , Qin Zhang , Yuan Zhou

We study the problem of best-arm identification with fixed confidence in stochastic linear bandits. The objective is to identify the best arm with a given level of certainty while minimizing the sampling budget. We devise a simple algorithm…

机器学习 · 统计学 2020-06-30 Yassir Jedra , Alexandre Proutiere

Identifying the best arm of a multi-armed bandit is a central problem in bandit optimization. We study a quantum computational version of this problem with coherent oracle access to states encoding the reward probabilities of each arm as…

量子物理 · 物理学 2023-02-02 Daochen Wang , Xuchen You , Tongyang Li , Andrew M. Childs

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several sources (arms) of items (rewards), and interested in finding the best item overall. At each time step the agent chooses an arm, and obtains a random…

机器学习 · 统计学 2015-08-25 Yahel David , Nahum Shimkin

We study best arm identification in a variant of the multi-armed bandit problem where the learner has limited precision in arm selection. The learner can only sample arms via certain exploration bundles, which we refer to as boxes. In…

机器学习 · 计算机科学 2023-05-11 Kota Srinivas Reddy , P. N. Karthik , Nikhil Karamchandani , Jayakrishnan Nair

This work investigates the problem of best arm identification for multi-agent multi-armed bandits. We consider $N$ agents grouped into $M$ clusters, where each cluster solves a stochastic bandit problem. The mapping between agents and…

机器学习 · 计算机科学 2025-05-16 Yash , Nikhil Karamchandani , Avishek Ghosh

We consider the quantum version of the bandit problem known as {\em best arm identification} (BAI). We first propose a quantum modeling of the BAI problem, which assumes that both the learning agent and the environment are quantum; we then…

机器学习 · 计算机科学 2020-09-23 Balthazar Casalé , Giuseppe Di Molfetta , Hachem Kadri , Liva Ralaivola

Sequential decision-making under uncertainty often involves multiple agents learning which actions (arms) yield the highest rewards through repeated interaction with a stochastic environment. This setting is commonly modeled by cooperative…

系统与控制 · 电气工程与系统科学 2026-03-25 Evagoras Makridis , Themistoklis Charalambous
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