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Experimentation is crucial for managers to rigorously quantify the value of a change and determine if it leads to a statistically significant improvement over the status quo. As companies increasingly mandate that all changes undergo…

统计方法学 · 统计学 2024-10-16 Biyonka Liang , Iavor Bojinov

We analyze the $K$-armed bandit problem where the reward for each arm is a noisy realization based on an observed context under mild nonparametric assumptions. We attain tight results for top-arm identification and a sublinear regret of…

机器学习 · 计算机科学 2018-01-08 Melody Y. Guan , Heinrich Jiang

We study stochastic linear optimization problem with bandit feedback. The set of arms take values in an $N$-dimensional space and belong to a bounded polyhedron described by finitely many linear inequalities. We provide a lower bound for…

机器学习 · 计算机科学 2015-09-29 Manjesh K. Hanawal , Amir Leshem , Venkatesh Saligrama

We study a $K$-armed bandit with delayed feedback and intermediate observations. We consider a model where intermediate observations have a form of a finite state, which is observed immediately after taking an action, whereas the loss is…

We consider the bandit problem of selecting $K$ out of $N$ arms at each time step. The reward can be a non-linear function of the rewards of the selected individual arms. The direct use of a multi-armed bandit algorithm requires choosing…

机器学习 · 计算机科学 2026-02-16 Mridul Agarwal , Vaneet Aggarwal , Christopher J. Quinn , Abhishek Umrawal

We study the piecewise-stationary restless multi-armed bandit (PS-RMAB) problem, where each arm evolves as a Markov chain but \emph{mean rewards may change across unknown segments}. To address the resulting exploration--detection delay…

信息论 · 计算机科学 2026-04-14 Kuan-Ta Li , Chia-Chun Lin , Ping-Chun Hsieh , Yu-Chih Huang

Multi-armed bandit (MAB) is a widely adopted framework for sequential decision-making under uncertainty. Traditional bandit algorithms rely solely on online data, which tends to be scarce as it must be gathered during the online phase when…

统计理论 · 数学 2026-04-23 Wenlong Ji , Yihan Pan , Ruihao Zhu , Lihua Lei

We consider a class of restless multi-armed bandit (RMAB) problems with unknown arm dynamics. At each time, a player chooses an arm out of N arms to play, referred to as an active arm, and receives a random reward from a finite set of…

机器学习 · 计算机科学 2019-06-20 Tomer Gafni , Kobi Cohen

Policy regret is a well established notion of measuring the performance of an online learning algorithm against an adaptive adversary. We study restrictions on the adversary that enable efficient minimization of the \emph{complete policy…

机器学习 · 统计学 2022-04-26 Dhruv Malik , Yuanzhi Li , Aarti Singh

In performative prediction, the deployment of a predictive model triggers a shift in the data distribution. As these shifts are typically unknown ahead of time, the learner needs to deploy a model to get feedback about the distribution it…

机器学习 · 计算机科学 2022-07-19 Meena Jagadeesan , Tijana Zrnic , Celestine Mendler-Dünner

Traditional multi-armed bandit (MAB) frameworks, predominantly examined under stochastic or adversarial settings, often overlook the temporal dynamics inherent in many real-world applications such as recommendation systems and online…

机器学习 · 计算机科学 2023-12-13 Qinyi Chen , Negin Golrezaei , Djallel Bouneffouf

A standard assumption in Reinforcement Learning is that the agent observes every visited state-action pair in the associated Markov Decision Process (MDP), along with the per-step rewards. Strong theoretical results are known in this…

机器学习 · 计算机科学 2026-02-03 Zhengjia Zhuo , Anupam Gupta , Viswanath Nagarajan

A recent line of research focuses on the study of the stochastic multi-armed bandits problem (MAB), in the case where temporal correlations of specific structure are imposed between the player's actions and the reward distributions of the…

机器学习 · 计算机科学 2021-03-02 Orestis Papadigenopoulos , Constantine Caramanis

In this paper, we study the application of the Thompson sampling (TS) methodology to the stochastic combinatorial multi-armed bandit (CMAB) framework. We first analyze the standard TS algorithm for the general CMAB model when the outcome…

机器学习 · 计算机科学 2022-06-22 Siwei Wang , Wei Chen

Federated multi-armed bandits (FMAB) is a new bandit paradigm that parallels the federated learning (FL) framework in supervised learning. It is inspired by practical applications in cognitive radio and recommender systems, and enjoys…

机器学习 · 计算机科学 2021-03-04 Chengshuai Shi , Cong Shen

One of the key drivers of complexity in the classical (stochastic) multi-armed bandit (MAB) problem is the difference between mean rewards in the top two arms, also known as the instance gap. The celebrated Upper Confidence Bound (UCB)…

机器学习 · 计算机科学 2021-10-27 Anand Kalvit , Assaf Zeevi

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

机器学习 · 计算机科学 2020-02-06 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari

We study a sequential decision problem where the learner faces a sequence of $K$-armed bandit tasks. The task boundaries might be known (the bandit meta-learning setting), or unknown (the non-stationary bandit setting). For a given integer…

Motivated by the fact that humans like some level of unpredictability or novelty, and might therefore get quickly bored when interacting with a stationary policy, we introduce a novel non-stationary bandit problem, where the expected reward…

机器学习 · 计算机科学 2022-03-08 Pierre Laforgue , Giulia Clerici , Nicolò Cesa-Bianchi , Ran Gilad-Bachrach

Multi-armed bandits (MAB) is a sequential decision-making model in which the learner controls the trade-off between exploration and exploitation to maximize its cumulative reward. Federated multi-armed bandits (FMAB) is an emerging…

机器学习 · 计算机科学 2025-02-18 Artun Saday , İlker Demirel , Yiğit Yıldırım , Cem Tekin