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The dueling bandit problem is a variation of the classical multi-armed bandit in which the allowable actions are noisy comparisons between pairs of arms. This paper focuses on a new approach for finding the "best" arm according to the Borda…

机器学习 · 统计学 2015-02-03 Kevin Jamieson , Sumeet Katariya , Atul Deshpande , Robert Nowak

The multi-armed bandit (MAB) problem is a ubiquitous decision-making problem that exemplifies exploration-exploitation tradeoff. Standard formulations exclude risk in decision making. Risknotably complicates the basic reward-maximising…

机器学习 · 计算机科学 2021-05-17 Ming Liang Ang , Eloise Y. Y. Lim , Joel Q. L. Chang

It is well known that in stochastic multi-armed bandits (MAB), the sample mean of an arm is typically not an unbiased estimator of its true mean. In this paper, we decouple three different sources of this selection bias: adaptive…

统计理论 · 数学 2019-10-29 Jaehyeok Shin , Aaditya Ramdas , Alessandro Rinaldo

We study incentivized exploration for the multi-armed bandit (MAB) problem with non-stationary reward distributions, where players receive compensation for exploring arms other than the greedy choice and may provide biased feedback on the…

机器学习 · 计算机科学 2024-03-19 Sourav Chakraborty , Lijun Chen

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

Top-k Combinatorial Bandits generalize multi-armed bandits, where at each round any subset of $k$ out of $n$ arms may be chosen and the sum of the rewards is gained. We address the full-bandit feedback, in which the agent observes only the…

机器学习 · 计算机科学 2019-12-05 Idan Rejwan , Yishay Mansour

We propose bandit importance sampling (BIS), a powerful importance sampling framework tailored for settings in which evaluating the target density is computationally expensive. BIS facilitates accurate sampling while minimizing the required…

统计方法学 · 统计学 2026-03-17 Takuo Matsubara , Andrew Duncan , Simon Cotter , Konstantinos Zygalakis

Multi-armed bandit (MAB) problems serve as a fundamental building block for more complex reinforcement learning algorithms. However, evaluating and comparing MAB algorithms remains challenging due to the lack of standardized conditions and…

机器学习 · 计算机科学 2025-11-03 Elise Wolf

We propose the first fully-adaptive algorithm for pure exploration in linear bandits---the task to find the arm with the largest expected reward, which depends on an unknown parameter linearly. While existing methods partially or entirely…

机器学习 · 统计学 2017-10-17 Liyuan Xu , Junya Honda , Masashi Sugiyama

We consider the adversarial combinatorial multi-armed bandit (CMAB) problem, whose decision set can be exponentially large with respect to the number of given arms. To avoid dealing with such large decision sets directly, we propose an…

数据结构与算法 · 计算机科学 2017-07-27 Shinsaku Sakaue , Masakazu Ishihata , Shin-ichi Minato

The sample mean is among the most well studied estimators in statistics, having many desirable properties such as unbiasedness and consistency. However, when analyzing data collected using a multi-armed bandit (MAB) experiment, the sample…

统计理论 · 数学 2021-05-03 Jaehyeok Shin , Aaditya Ramdas , Alessandro Rinaldo

We discuss a multiple-play multi-armed bandit (MAB) problem in which several arms are selected at each round. Recently, Thompson sampling (TS), a randomized algorithm with a Bayesian spirit, has attracted much attention for its empirically…

机器学习 · 统计学 2019-03-22 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

Motivated by applications such as online labor markets we consider a variant of the stochastic multi-armed bandit problem where we have a collection of arms representing strategic agents with different performance characteristics. The…

计算机科学与博弈论 · 计算机科学 2025-03-11 Seyed A. Esmaeili , Suho Shin , Aleksandrs Slivkins

We study the corrupted bandit problem, i.e. a stochastic multi-armed bandit problem with $k$ unknown reward distributions, which are heavy-tailed and corrupted by a history-independent adversary or Nature. To be specific, the reward…

机器学习 · 计算机科学 2023-03-22 Debabrota Basu , Odalric-Ambrym Maillard , Timothée Mathieu

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning…

机器学习 · 计算机科学 2019-05-17 Fang Liu , Ness Shroff

Combinatorial bandits with semi-bandit feedback generalize multi-armed bandits, where the agent chooses sets of arms and observes a noisy reward for each arm contained in the chosen set. The action set satisfies a given structure such as…

机器学习 · 统计学 2021-01-22 Marc Jourdan , Mojmír Mutný , Johannes Kirschner , Andreas Krause

Drawing a sample from a discrete distribution is one of the building components for Monte Carlo methods. Like other sampling algorithms, discrete sampling suffers from the high computational burden in large-scale inference problems. We…

机器学习 · 统计学 2016-04-29 Yutian Chen , Zoubin Ghahramani

This paper considers the multi-armed bandit (MAB) problem and provides a new best-of-both-worlds (BOBW) algorithm that works nearly optimally in both stochastic and adversarial settings. In stochastic settings, some existing BOBW algorithms…

机器学习 · 计算机科学 2022-06-15 Shinji Ito , Taira Tsuchiya , Junya Honda

Online decision-making can be formulated as the popular stochastic multi-armed bandit problem where a learner makes decisions (or takes actions) to maximize cumulative rewards collected from an unknown environment. This paper proposes to…

系统与控制 · 电气工程与系统科学 2025-11-26 Jonathan Gornet , Mehdi Hosseinzadeh , Bruno Sinopoli

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

机器学习 · 计算机科学 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias