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In this paper, we consider a multi-armed bandit in which each arm is a Markov process evolving on a finite state space. The state space is common across the arms, and the arms are independent of each other. The transition probability matrix…

Information Theory · Computer Science 2021-01-01 P. N. Karthik , Rajesh Sundaresan

We investigate top-$m$ arm identification, a basic problem in bandit theory, in a multi-agent learning model in which agents collaborate to learn an objective function. We are interested in designing collaborative learning algorithms that…

Machine Learning · Computer Science 2022-11-29 Nikolai Karpov , Qin Zhang

With the rapid development of Mobile Edge Computing (MEC), various real-time applications have been deployed to benefit people's daily lives. The performance of these applications relies heavily on the freshness of collected environmental…

Machine Learning · Computer Science 2024-02-26 Xingqiu He , Chaoqun You , Tony Q. S. Quek

We study the problem of Bayesian fixed-budget best-arm identification (BAI) in structured bandits. We propose an algorithm that uses fixed allocations based on the prior information and the structure of the environment. We provide…

Machine Learning · Statistics 2025-04-28 Nicolas Nguyen , Imad Aouali , András György , Claire Vernade

Age of information (AoI) measures information freshness at the receiver. AoI may provide insights into quality of service in communication systems. For this reason, it has been used as a cross-layer metric for wireless communication…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Onur Ayan , H. Murat Gürsu , Sandra Hirche , Wolfgang Kellerer

Age of information (AoI) is a performance metric that captures the freshness of status updates. While AoI has been studied thoroughly for point-to-point links, the impact of modern random-access protocols on this metric is still unclear. In…

Information Theory · Computer Science 2021-12-03 Khac-Hoang Ngo , Giuseppe Durisi , Alexandre Graell i Amat

The knowledge gradient (KG) algorithm is a popular policy for the best arm identification (BAI) problem. It is built on the simple idea of always choosing the measurement that yields the greatest expected one-step improvement in the…

Machine Learning · Computer Science 2023-10-30 Yang Le , Gao Siyang , Ho Chin Pang

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…

Machine Learning · Computer Science 2022-12-08 Alberto Maria Metelli , Francesco Trovò , Matteo Pirola , Marcello Restelli

We study the stochastic multi-armed bandit (MAB) problem where an underlying network structure enables side-observations across related actions. We use a bipartite graph to link actions to a set of unknowns, such that selecting an action…

Machine Learning · Computer Science 2026-03-30 Ashutosh Soni , Peizhong Ju , Atilla Eryilmaz , Ness B. Shroff

Conducting randomized experiments in education settings raises the question of how we can use machine learning techniques to improve educational interventions. Using Multi-Armed Bandits (MAB) algorithms like Thompson Sampling (TS) in…

Machine Learning · Computer Science 2022-08-11 Fernando J. Yanez , Angela Zavaleta-Bernuy , Ziwen Han , Michael Liut , Anna Rafferty , Joseph Jay Williams

We study the problem of Robust Outlier Arm Identification (ROAI), where the goal is to identify arms whose expected rewards deviate substantially from the majority, by adaptively sampling from their reward distributions. We compute the…

Machine Learning · Statistics 2020-09-22 Yinglun Zhu , Sumeet Katariya , Robert Nowak

Sharpe Ratio (SR) is a critical parameter in characterizing financial time series as it jointly considers the reward and the volatility of any stock/portfolio through its variance. Deriving online algorithms for optimizing the SR is…

Portfolio Management · Quantitative Finance 2024-06-12 Sabrina Khurshid , Mohammed Shahid Abdulla , Gourab Ghatak

We consider the best-arm identification problem in multi-armed bandits, which focuses purely on exploration. A player is given a fixed budget to explore a finite set of arms, and the rewards of each arm are drawn independently from a fixed,…

Machine Learning · Statistics 2017-08-02 Shahin Shahrampour , Mohammad Noshad , Vahid Tarokh

We study the Improving Multi-Armed Bandit (IMAB) problem, where the reward obtained from an arm increases with the number of pulls it receives. This model provides an elegant abstraction for many real-world problems in domains such as…

Machine Learning · Computer Science 2022-08-22 Vishakha Patil , Vineet Nair , Ganesh Ghalme , Arindam Khan

In multi-armed bandit problems, the typical goal is to identify the arm with the highest reward. This paper explores a threshold-based bandit problem, aiming to select an arm based on its relation to a prescribed threshold \(\tau \). We…

Machine Learning · Computer Science 2025-09-03 Chanakya Varude , Jay Chaudhary , Siddharth Kaushik , Prasanna Chaporkar

The best-arm identification (BAI) problem is one of the most fundamental problems in interactive machine learning, which has two flavors: the fixed-budget setting (FB) and the fixed-confidence setting (FC). For $K$-armed bandits with the…

Machine Learning · Statistics 2026-02-20 Kapilan Balagopalan , Yinan Li , Yao Zhao , Tuan Nguyen , Anton Daitche , Houssam Nassif , Kwang-Sung Jun

Best arm identification (or, pure exploration) in multi-armed bandits is a fundamental problem in machine learning. In this paper we study the distributed version of this problem where we have multiple agents, and they want to learn the…

Machine Learning · Computer Science 2019-09-02 Chao Tao , Qin Zhang , Yuan Zhou

Age of Information (AoI) has proven to be a useful metric in networked systems where timely information updates are of importance. In the literature, minimizing "average age" has received considerable attention. However, various…

Information Theory · Computer Science 2020-10-06 Jaya Prakash Champati , Hussein Al-Zubaidy , James Gross

Motivated by a natural problem in online model selection with bandit information, we introduce and analyze a best arm identification problem in the rested bandit setting, wherein arm expected losses decrease with the number of times the arm…

Machine Learning · Statistics 2020-12-08 Leonardo Cella , Claudio Gentile , Massimiliano Pontil

Motivated by applications in computational advertising and systems biology, we consider the problem of identifying the best out of several possible soft interventions at a source node $V$ in an acyclic causal directed graph, to maximize the…

Machine Learning · Statistics 2017-03-13 Rajat Sen , Karthikeyan Shanmugam , Alexandros G. Dimakis , Sanjay Shakkottai
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