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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

In this paper we consider the problem of best-arm identification in multi-armed bandits in the fixed confidence setting, where the goal is to identify, with probability $1-\delta$ for some $\delta>0$, the arm with the highest mean reward in…

机器学习 · 统计学 2021-09-13 Samarth Gupta , Gauri Joshi , Osman Yağan

We study fixed-confidence Best Arm Identification (BAI) in semiparametric bandits, where rewards are linear in arm features plus an unknown additive baseline shift. Unlike linear-bandit BAI, this setting requires orthogonalized regression,…

机器学习 · 统计学 2026-04-07 Seok-Jin Kim

We study the representative arm identification (RAI) problem in the multi-armed bandits (MAB) framework, wherein we have a collection of arms, each associated with an unknown reward distribution. An underlying instance is defined by a…

机器学习 · 计算机科学 2024-08-27 Sarvesh Gharat , Aniket Yadav , Nikhil Karamchandani , Jayakrishnan Nair

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

The best arm identification problem in the multi-armed bandit setting is an excellent model of many real-world decision-making problems, yet it fails to capture the fact that in the real-world, safety constraints often must be met while…

机器学习 · 计算机科学 2021-11-25 Zhenlin Wang , Andrew Wagenmaker , Kevin Jamieson

Many real-world functions are defined over both categorical and category-specific continuous variables and thus cannot be optimized by traditional Bayesian optimization (BO) methods. To optimize such functions, we propose a new method that…

机器学习 · 计算机科学 2019-12-02 Dang Nguyen , Sunil Gupta , Santu Rana , Alistair Shilton , Svetha Venkatesh

In fixed budget bandit identification, an algorithm sequentially observes samples from several distributions up to a given final time. It then answers a query about the set of distributions. A good algorithm will have a small probability of…

机器学习 · 统计学 2023-07-03 Rémy Degenne

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

This paper considers the problem of combinatorial multi-armed bandits with semi-bandit feedback and a cardinality constraint on the super-arm size. Existing algorithms for solving this problem typically involve two key sub-routines: (1) a…

机器学习 · 计算机科学 2025-08-14 Arpan Mukherjee , Shashanka Ubaru , Keerthiram Murugesan , Karthikeyan Shanmugam , Ali Tajer

We study the robust best-arm identification problem (RBAI) in the case of linear rewards. The primary objective is to identify a near-optimal robust arm, which involves selecting arms at every round and assessing their robustness by…

机器学习 · 计算机科学 2023-11-09 Wei Wang , Sattar Vakili , Ilija Bogunovic

We address the problem of finding the maximizer of a nonlinear smooth function, that can only be evaluated point-wise, subject to constraints on the number of permitted function evaluations. This problem is also known as fixed-budget best…

机器学习 · 统计学 2013-11-12 Matthew W. Hoffman , Bobak Shahriari , Nando de Freitas

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 study investigates the experimental design problem for identifying the arm with the highest expected outcome, referred to as best arm identification (BAI). In our experiments, the number of treatment-allocation rounds is fixed. During…

统计理论 · 数学 2024-03-12 Masahiro Kato

In the Best-$k$-Arm problem, we are given $n$ stochastic bandit arms, each associated with an unknown reward distribution. We are required to identify the $k$ arms with the largest means by taking as few samples as possible. In this paper,…

机器学习 · 计算机科学 2017-02-15 Lijie Chen , Jian Li , Mingda Qiao

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)…

We study the problem of selecting $K$ arms with the highest expected rewards in a stochastic $n$-armed bandit game. This problem has a wide range of applications, e.g., A/B testing, crowdsourcing, simulation optimization. Our goal is to…

机器学习 · 计算机科学 2017-06-06 Jiecao Chen , Xi Chen , Qin Zhang , Yuan Zhou

This paper targets a variant of the stochastic multi-armed bandit problem called good arm identification (GAI). GAI is a pure-exploration bandit problem with the goal to output as many good arms using as few samples as possible, where a…

机器学习 · 计算机科学 2024-02-19 Yun-Da Tsai , Tzu-Hsien Tsai , Shou-De Lin

In this paper, we introduce a multi-armed bandit problem termed max-min grouped bandits, in which the arms are arranged in possibly-overlapping groups, and the goal is to find the group whose worst arm has the highest mean reward. This…

机器学习 · 统计学 2022-03-16 Zhenlin Wang , Jonathan Scarlett

We study the fixed-confidence best arm identification (BAI) problem within the multi-armed bandit (MAB) framework under the Entropic Value-at-Risk (EVaR) criterion. Our analysis considers a nonparametric setting, allowing for general reward…

机器学习 · 计算机科学 2025-10-07 Mehrasa Ahmadipour , Aurélien Garivier