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Large language models (LLMs) have become powerful and widely used systems for language understanding and generation, while multi-armed bandit (MAB) algorithms provide a principled framework for adaptive decision-making under uncertainty.…

计算与语言 · 计算机科学 2026-03-10 Siguang Chen , Chunli Lv , Miao Xie

Large Language Models (LLMs) have revolutionized natural language processing, but their varying capabilities and costs pose challenges in practical applications. LLM routing addresses this by dynamically selecting the most suitable LLM for…

机器学习 · 计算机科学 2025-09-10 Pranoy Panda , Raghav Magazine , Chaitanya Devaguptapu , Sho Takemori , Vishal Sharma

We study the multinomial logit (MNL) contextual bandit problem for sequential assortment selection. Although most existing research assumes utility functions to be linear in item features, this linearity assumption restricts the modeling of…

机器学习 · 计算机科学 2026-01-13 Taehyun Hwang , Dahngoon Kim , Min-hwan Oh

This paper introduces an interpretable contextual bandit algorithm using Tsetlin Machines, which solves complex pattern recognition tasks using propositional logic. The proposed bandit learning algorithm relies on straightforward bit…

机器学习 · 计算机科学 2022-02-07 Raihan Seraj , Jivitesh Sharma , Ole-Christoffer Granmo

Multi-armed bandits (MAB) are extensively studied in various settings where the objective is to \textit{maximize} the actions' outcomes (i.e., rewards) over time. Since safety is crucial in many real-world problems, safe versions of MAB…

机器学习 · 计算机科学 2021-12-14 Ilker Demirel , Mehmet Ufuk Ozdemir , Cem Tekin

As an extension of the classical multi-armed bandit problem, multi-fidelity multi-armed bandits (MF-MAB) enable individual arms to be evaluated using diverse feedback sources that vary in both cost and accuracy. Prior stochastic models…

机器学习 · 计算机科学 2026-05-12 Muyun Lu , Haoyang Hong , Huazheng Wang , Ying Lin

For the stochastic multi-armed bandit (MAB) problem from a constrained model that generalizes the classical one, we show that an asymptotic optimality is achievable by a simple strategy extended from the $\epsilon_t$-greedy strategy. We…

最优化与控制 · 数学 2018-05-04 Hyeong Soo Chang

We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

数据结构与算法 · 计算机科学 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

We investigate a Bayesian $k$-armed bandit problem in the \emph{many-armed} regime, where $k \geq \sqrt{T}$ and $T$ represents the time horizon. Initially, and aligned with recent literature on many-armed bandit problems, we observe that…

机器学习 · 计算机科学 2024-03-21 Mohsen Bayati , Nima Hamidi , Ramesh Johari , Khashayar Khosravi

The multi-armed bandit (MAB) problem is an active learning framework that aims to select the best among a set of actions by sequentially observing rewards. Recently, it has become popular for a number of applications over wireless networks,…

机器学习 · 计算机科学 2021-11-12 Osama A. Hanna , Lin F. Yang , Christina Fragouli

A stochastic multi-user multi-armed bandit framework is used to develop algorithms for uncoordinated spectrum access. In contrast to prior work, it is assumed that rewards can be non-zero even under collisions, thus allowing for the number…

信息论 · 计算机科学 2021-01-13 Meghana Bande , Akshayaa Magesh , Venugopal V. Veeravalli

Contextual multi-armed bandit is a fundamental learning framework for making a sequence of decisions, e.g., advertising recommendations for a sequence of arriving users. Recent works have shown that clustering these users based on the…

机器学习 · 计算机科学 2025-10-28 Jingyuan Liu , Zeyu Zhang , Xuchuang Wang , Xutong Liu , John C. S. Lui , Mohammad Hajiesmaili , Carlee Joe-Wong

Many modern AI and ML problems require evaluating partners' contributions through shared yet asymmetric, computationally intensive processes and the simultaneous selection of the most beneficial candidates. Sequential approaches to these…

机器学习 · 计算机科学 2026-01-01 András Antos , András Millinghoffer , Péter Antal

Contextual multi-armed bandits (CMAB) have been widely used for learning to filter and prioritize information according to a user's interest. In this work, we analyze top-K ranking under the CMAB framework where the top-K arms are chosen…

机器学习 · 计算机科学 2022-01-31 Michael Rawson , Jade Freeman

We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic regret matches the lower bound of…

统计理论 · 数学 2011-06-01 Odalric-Ambrym Maillard , Rémi Munos , Gilles Stoltz

Multi-armed bandits (MAB) model sequential decision making problems, in which a learner sequentially chooses arms with unknown reward distributions in order to maximize its cumulative reward. Most of the prior work on MAB assumes that the…

机器学习 · 计算机科学 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

Contextual multi-armed bandits are classical models in reinforcement learning for sequential decision-making associated with individual information. A widely-used policy for bandits is Thompson Sampling, where samples from a data-driven…

机器学习 · 统计学 2021-11-30 Hongju Park , Mohamad Kazem Shirani Faradonbeh

Active learning methods have shown great promise in reducing the number of samples necessary for learning. As automated learning systems are adopted into real-time, real-world decision-making pipelines, it is increasingly important that…

机器学习 · 计算机科学 2022-06-23 Romain Camilleri , Andrew Wagenmaker , Jamie Morgenstern , Lalit Jain , Kevin Jamieson

Generalized Linear Bandits (GLBs), a natural extension of the stochastic linear bandits, has been popular and successful in recent years. However, existing GLBs scale poorly with the number of rounds and the number of arms, limiting their…

机器学习 · 统计学 2017-10-24 Kwang-Sung Jun , Aniruddha Bhargava , Robert Nowak , Rebecca Willett

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied