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相关论文: Extended UCB Policies for Multi-armed Bandit Probl…

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While classical formulations of multi-armed bandit problems assume that each arm's reward is independent and stationary, real-world applications often involve non-stationary environments and interdependencies between arms. In particular,…

机器学习 · 计算机科学 2025-06-19 Ryoma Sato , Shinji Ito

This paper is about index policies for minimizing (frequentist) regret in a stochastic multi-armed bandit model, inspired by a Bayesian view on the problem. Our main contribution is to prove that the Bayes-UCB algorithm, which relies on…

机器学习 · 统计学 2017-11-07 Emilie Kaufmann

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e. those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. $arm$). We study a particular case of the rested…

机器学习 · 统计学 2024-11-28 Marco Fiandri , Alberto Maria Metelli , Francesco Trov`o

The multi-armed bandit (MAB) problem is a foundational framework in sequential decision-making under uncertainty, extensively studied for its applications in areas such as clinical trials, online advertising, and resource allocation.…

机器学习 · 计算机科学 2024-10-28 Ali Baheri

We consider a sequential multi-task problem, where each task is modeled as the stochastic multi-armed bandit with K arms. We assume the bandit tasks are adjacently similar in the sense that the difference between the mean rewards of the…

机器学习 · 计算机科学 2025-03-14 NR Rahul , Vaibhav Katewa

In many sequential decision-making problems, the individuals are split into several batches and the decision-maker is only allowed to change her policy at the end of batches. These batch problems have a large number of applications, ranging…

机器学习 · 计算机科学 2021-02-26 Quanquan Gu , Amin Karbasi , Khashayar Khosravi , Vahab Mirrokni , Dongruo Zhou

Multi-armed bandit models have proven to be useful in modeling many real world problems in the areas of control and sequential decision making with partial information. However, in many scenarios, such as those prevalent in healthcare and…

最优化与控制 · 数学 2024-08-27 Qinyang He , Yonatan Mintz

We develop asymptotically optimal policies for the multi armed bandit (MAB), problem, under a cost constraint. This model is applicable in situations where each sample (or activation) from a population (bandit) incurs a known bandit…

机器学习 · 统计学 2015-12-18 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

Regret minimization in stochastic non-stationary bandits gained popularity over the last decade, as it can model a broad class of real-world problems, from advertising to recommendation systems. Existing literature relies on various…

机器学习 · 计算机科学 2025-05-27 Gianmarco Genalti , Sujay Bhatt , Nicola Gatti , Alberto Maria Metelli

Many physical systems have underlying safety considerations that require that the strategy deployed ensures the satisfaction of a set of constraints. Further, often we have only partial information on the state of the system. We study the…

The multi-armed bandit (MAB) problem models a decision-maker that optimizes its actions based on current and acquired new knowledge to maximize its reward. This type of online decision is prominent in many procedures of Brain-Computer…

人工智能 · 计算机科学 2022-11-10 Frida Heskebeck , Carolina Bergeling , Bo Bernhardsson

We consider the correlated multiarmed bandit (MAB) problem in which the rewards associated with each arm are modeled by a multivariate Gaussian random variable, and we investigate the influence of the assumptions in the Bayesian prior on…

最优化与控制 · 数学 2015-07-09 Vaibhav Srivastava , Paul Reverdy , Naomi Ehrich Leonard

Motivated by recommendation problems in music streaming platforms, we propose a nonstationary stochastic bandit model in which the expected reward of an arm depends on the number of rounds that have passed since the arm was last pulled.…

机器学习 · 统计学 2020-02-20 Leonardo Cella , Nicolò Cesa-Bianchi

The Multi-Armed Bandits (MAB) framework highlights the tension between acquiring new knowledge (Exploration) and leveraging available knowledge (Exploitation). In the classical MAB problem, a decision maker must choose an arm at each time…

机器学习 · 统计学 2017-11-03 Nir Levine , Koby Crammer , Shie Mannor

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 study distributed cooperative decision-making under the explore-exploit tradeoff in the multiarmed bandit (MAB) problem. We extend the state-of-the-art frequentist and Bayesian algorithms for single-agent MAB problems to cooperative…

系统与控制 · 计算机科学 2019-09-18 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

We consider a sequential stochastic multi-armed bandit problem where the agent interacts with bandit over multiple episodes. The reward distribution of the arms remain constant throughout an episode but can change over different episodes.…

机器学习 · 计算机科学 2024-03-20 Rahul N R , Vaibhav Katewa

The multi-armed bandit (MAB) problem is a classical learning task that exemplifies the exploration-exploitation tradeoff. However, standard formulations do not take into account {\em risk}. In online decision making systems, risk is a…

机器学习 · 计算机科学 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

Contextual multi-armed bandit (MAB) algorithms have been shown promising for maximizing cumulative rewards in sequential decision tasks such as news article recommendation systems, web page ad placement algorithms, and mobile health.…

机器学习 · 统计学 2019-02-01 Gi-Soo Kim , Myunghee Cho Paik

We formulate and study a decentralized multi-armed bandit (MAB) problem. There are M distributed players competing for N independent arms. Each arm, when played, offers i.i.d. reward according to a distribution with an unknown parameter. At…

最优化与控制 · 数学 2015-05-14 Keqin Liu , Qing Zhao