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We introduce a rich class of graphical models for multi-armed bandit problems that permit both the state or context space and the action space to be very large, yet succinctly specify the payoffs for any context-action pair. Our main result…

机器学习 · 计算机科学 2012-02-20 Kareem Amin , Michael Kearns , Umar Syed

Sampling from the equilibrium distribution has always been a major problem in molecular simulations due to the very high dimensionality of conformational space. Over several decades, many approaches have been used to overcome the problem.…

计算物理 · 物理学 2020-03-02 Adrià Pérez , Pablo Herrera-Nieto , Stefan Doerr , Gianni De Fabritiis

We study the multi-armed bandit (MAB) problem with composite and anonymous feedback. In this model, the reward of pulling an arm spreads over a period of time (we call this period as reward interval) and the player receives partial rewards…

机器学习 · 计算机科学 2020-12-16 Siwei Wang , Haoyun Wang , Longbo Huang

Decision-making under uncertainty is a fundamental problem encountered frequently and can be formulated as a stochastic multi-armed bandit problem. In the problem, the learner interacts with an environment by choosing an action at each…

机器学习 · 统计学 2024-05-24 Jonathan Gornet , Bruno Sinopoli

Multi armed bandit (MAB) algorithms have been increasingly used to complement or integrate with A/B tests and randomized clinical trials in e-commerce, healthcare, and policymaking. Recent developments incorporate possible delayed feedback.…

统计方法学 · 统计学 2023-07-04 Lei Shi , Jingshen Wang , Tianhao Wu

We study multi-armed bandit problems with graph feedback, in which the decision maker is allowed to observe the neighboring actions of the chosen action, in a setting where the graph may vary over time and is never fully revealed to the…

机器学习 · 统计学 2018-05-24 Fang Liu , Zizhan Zheng , Ness Shroff

This paper introduces the framework of multi-armed sampling, which serves as the sampling counterpart to the optimization problem of multi-armed bandits. Our primary motivation is to rigorously examine the exploration-exploitation trade-off…

机器学习 · 计算机科学 2026-05-14 Mohammad Pedramfar , Siamak Ravanbakhsh

Large language models (LLMs) have been adopted to solve sequential decision-making tasks such as multi-armed bandits (MAB), in which an LLM is directly instructed to select the arms to pull in every iteration. However, this paradigm of…

机器学习 · 计算机科学 2025-02-04 Jiahang Sun , Zhiyong Wang , Runhan Yang , Chenjun Xiao , John C. S. Lui , Zhongxiang Dai

When comparing the performance of multi-armed bandit algorithms, the potential impact of missing data is often overlooked. In practice, it also affects their implementation where the simplest approach to overcome this is to continue to…

机器学习 · 统计学 2022-10-12 Xijin Chen , Kim May Lee , Sofia S. Villar , David S. Robertson

In this paper, we analyze and extend an online learning framework known as Context-Attentive Bandit, motivated by various practical applications, from medical diagnosis to dialog systems, where due to observation costs only a small subset…

机器学习 · 计算机科学 2020-10-20 Djallel Bouneffouf , Raphaël Féraud , Sohini Upadhyay , Yasaman Khazaeni , Irina Rish

Mobile health (mHealth) programs face a critical challenge in optimizing the timing of automated health information calls to beneficiaries. This challenge has been formulated as a collaborative multi-armed bandit problem, requiring online…

机器学习 · 计算机科学 2024-10-31 Arpan Dasgupta , Gagan Jain , Arun Suggala , Karthikeyan Shanmugam , Milind Tambe , Aparna Taneja

This paper studies bandit problems where an agent has access to offline data that might be utilized to potentially improve the estimation of each arm's reward distribution. A major obstacle in this setting is the existence of compound…

机器学习 · 计算机科学 2023-12-21 Wen Huang , Xintao Wu

The bandit paradigm provides a unified modeling framework for problems that require decision-making under uncertainty. Because many business metrics can be viewed as rewards (a.k.a. utilities) that result from actions, bandit algorithms…

机器学习 · 计算机科学 2023-02-03 Bram van den Akker , Olivier Jeunen , Ying Li , Ben London , Zahra Nazari , Devesh Parekh

Multi-Armed-Bandit frameworks have often been used by researchers to assess educational interventions, however, recent work has shown that it is more beneficial for a student to provide qualitative feedback through preference elicitation…

机器学习 · 计算机科学 2021-11-02 Nayan Saxena , Pan Chen , Emmy Liu

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret…

机器学习 · 计算机科学 2018-06-08 Chen-Yu Wei , Haipeng Luo

The Multi-Armed Bandit problem provides a fundamental framework for analyzing the tension between exploration and exploitation in sequential learning. This paper explores Information Directed Sampling (IDS) policies, a class of heuristics…

机器学习 · 计算机科学 2025-12-24 Annika Hirling , Giorgio Nicoletti , Antonio Celani

Thompson sampling is one of the earliest randomized algorithms for multi-armed bandits (MAB). In this paper, we extend the Thompson sampling to Budgeted MAB, where there is random cost for pulling an arm and the total cost is constrained by…

机器学习 · 计算机科学 2015-05-04 Yingce Xia , Haifang Li , Tao Qin , Nenghai Yu , Tie-Yan Liu

Online platforms routinely compare multi-armed bandit algorithms, such as UCB and Thompson Sampling, to select the best-performing policy. Unlike standard A/B tests for static treatments, each run of a bandit algorithm over $T$ users…

机器学习 · 计算机科学 2026-04-14 Huiling Meng , Ningyuan Chen , Xuefeng Gao

Contextual multi-armed bandit problems arise frequently in important industrial applications. Existing solutions model the context either linearly, which enables uncertainty driven (principled) exploration, or non-linearly, by using…

机器学习 · 计算机科学 2018-07-27 Mark Collier , Hector Urdiales Llorens

Consider a nonparametric contextual multi-arm bandit problem where each arm $a \in [K]$ is associated to a nonparametric reward function $f_a: [0,1] \to \mathbb{R}$ mapping from contexts to the expected reward. Suppose that there is a large…

机器学习 · 计算机科学 2019-08-06 Nirandika Wanigasekara , Christina Lee Yu