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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

We consider a novel stochastic multi-armed bandit problem called {\em good arm identification} (GAI), where a good arm is defined as an arm with expected reward greater than or equal to a given threshold. GAI is a pure-exploration problem…

In good arm identification (GAI), the goal is to identify one arm whose average performance exceeds a given threshold, referred to as a good arm, if it exists. Few works have studied GAI in the fixed-budget setting when the sampling budget…

机器学习 · 统计学 2026-01-08 Marc Jourdan , Andrée Delahaye-Duriez , Clémence Réda

We consider a good arm identification problem in a stochastic bandit setting with multi-objectives, where each arm $i \in [K]$ is associated with a distribution $D_i$ defined over $R^M$. For each round $t$, the player pulls an arm $i_t$ and…

机器学习 · 计算机科学 2025-06-30 Xuanke Jiang , Sherief Hashima , Kohei Hatano , Eiji Takimoto

In multi-armed bandits, the tasks of reward maximization and pure exploration are often at odds with each other. The former focuses on exploiting arms with the highest means, while the latter may require constant exploration across all…

机器学习 · 计算机科学 2024-10-22 Brian Cho , Dominik Meier , Kyra Gan , Nathan Kallus

Best arm identification (BAI) aims to identify the highest-performance arm among a set of $K$ arms by collecting stochastic samples from each arm. In real-world problems, the best arm needs to satisfy additional feasibility constraints.…

机器学习 · 计算机科学 2026-01-26 Ting Cai , Kirthevasan Kandasamy

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

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

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 formulate, analyze and solve the problem of best arm identification with fairness constraints on subpopulations (BAICS). Standard best arm identification problems aim at selecting an arm that has the largest expected reward where the…

机器学习 · 计算机科学 2023-04-11 Yuhang Wu , Zeyu Zheng , Tingyu Zhu

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

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

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

We study the problem of identifying the best arm in a stochastic multi-armed bandit game. Given a set of $n$ arms indexed from $1$ to $n$, each arm $i$ is associated with an unknown reward distribution supported on $[0,1]$ with mean…

机器学习 · 计算机科学 2023-05-30 Pinyan Lu , Chao Tao , Xiaojin Zhang

The knowledge gradient (KG) algorithm is a popular policy for the best arm identification (BAI) problem. It is built on the simple idea of always choosing the measurement that yields the greatest expected one-step improvement in the…

机器学习 · 计算机科学 2023-10-30 Yang Le , Gao Siyang , Ho Chin Pang

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 consider the best arm identification problem in the stochastic multi-armed bandit framework where each arm has a tiny probability of realizing large rewards while with overwhelming probability the reward is zero. A key application of…

机器学习 · 计算机科学 2023-03-15 Anirban Bhattacharjee , Sushant Vijayan , Sandeep K Juneja

Best-arm identification (BAI) in a fixed-budget setting is a bandit problem where the learning agent maximizes the probability of identifying the optimal (best) arm after a fixed number of observations. Most works on this topic study…

机器学习 · 计算机科学 2023-07-06 Mohammad Javad Azizi , Branislav Kveton , Mohammad Ghavamzadeh

The best arm identification problem (BEST-1-ARM) is the most basic pure exploration problem in stochastic multi-armed bandits. The problem has a long history and attracted significant attention for the last decade. However, we do not yet…

机器学习 · 计算机科学 2016-05-30 Lijie Chen , Jian Li

The 1-identification problem is a fundamental pure-exploration problem in multi-armed bandits. An agent aims to determine whether there exists an arm whose mean reward exceeds a known threshold $\mu_0$, or to output \textsf{None} otherwise.…

机器学习 · 计算机科学 2026-05-15 Zitian Li , Wang Chi Cheung
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