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The freshness or timeliness of data at server is a significant key performance indicator of sensor networks, especially in tolerance critical applications such as factory automation. As an effective and intuitive measurement to data…

Signal Processing · Electrical Eng. & Systems 2021-11-30 Bin Han , Yao Zhu , Zhiyuan Jiang , Yulin hu , Hans D. Schotten

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of…

Machine Learning · Computer Science 2025-01-24 Zhirui Chen , P. N. Karthik , Yeow Meng Chee , Vincent Y. F. Tan

We design and analyze VA-LUCB, a parameter-free algorithm, for identifying the best arm under the fixed-confidence setup and under a stringent constraint that the variance of the chosen arm is strictly smaller than a given threshold. An…

Machine Learning · Computer Science 2022-11-16 Yunlong Hou , Vincent Y. F. Tan , Zixin Zhong

We consider a system composed of a sensor node tracking a time varying quantity. In every discretized time slot, the node attempts to send an update to a central monitoring station through one of K communication channels. We consider the…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Ishank Juneja , Santosh Fatale , Sharayu Moharir

This paper presents a comprehensive study on the problem of Best Arm Retention (BAR), which has recently found applications in streaming algorithms for multi-armed bandits. In the BAR problem, the goal is to retain $m$ arms with the best…

Machine Learning · Computer Science 2025-04-17 Houshuang Chen , Yuchen He , Chihao Zhang

We investigate the problem of batched best arm identification in multi-armed bandits, where we aim to identify the best arm from a set of $n$ arms while minimizing both the number of samples and batches. We introduce an algorithm that…

Machine Learning · Computer Science 2025-01-30 Tianyuan Jin , Qin Zhang , Dongruo Zhou

Sampling from distributions to find the one with the largest mean arises in a broad range of applications, and it can be mathematically modeled as a multi-armed bandit problem in which each distribution is associated with an arm. This paper…

Machine Learning · Statistics 2013-06-18 Kevin Jamieson , Matthew Malloy , Robert Nowak , Sebastien Bubeck

This paper studies active learning in the context of robust statistics. Specifically, we propose a variant of the Best Arm Identification problem for \emph{contaminated bandits}, where each arm pull has probability $\varepsilon$ of…

Statistics Theory · Mathematics 2021-11-16 Jason Altschuler , Victor-Emmanuel Brunel , Alan Malek

In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activate $K \geq 1$ arms at each time in order…

Optimization and Control · Mathematics 2011-12-25 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari , Qing Zhao

In this paper, we study a system in which a sensor forwards status updates to a receiver through an error-prone channel, while the receiver sends the transmission results back to the sensor via a reliable channel. Both channels are subject…

Information Theory · Computer Science 2025-02-25 Hongyi He , Haoyue Tang , Jiayu Pan , Jintao Wang , Jian Song , Leandros Tassiulas

Age-of-Information (AoI) is a performance metric for scheduling systems that measures the freshness of the data available at the intended destination. AoI is formally defined as the time elapsed since the destination received the recent…

Systems and Control · Electrical Eng. & Systems 2021-01-20 Archiki Prasad , Vishal Jain , Sharayu Moharir

We consider the fixed-confidence best arm identification (FC-BAI) problem in the Bayesian setting. This problem aims to find the arm of the largest mean with a fixed confidence level when the bandit model has been sampled from the known…

Machine Learning · Statistics 2024-06-25 Kyoungseok Jang , Junpei Komiyama , Kazutoshi Yamazaki

We consider a discrete-time multi-channel network where the destination collects time-sensitive packets from multiple sources with sided channel information. The popular metric, Age of Information (AoI), is applied to measure the data…

Information Theory · Computer Science 2022-12-15 Yuchao Chen , Jintao Wang , Xiaoqing Wang , Jian Song

The expected improvement (EI) algorithm is a popular strategy for information collection in optimization under uncertainty. The algorithm is widely known to be too greedy, but nevertheless enjoys wide use due to its simplicity and ability…

Machine Learning · Computer Science 2017-05-30 Chao Qin , Diego Klabjan , Daniel Russo

We study the Stochastic Multi-armed Bandit problem under bounded arm-memory. In this setting, the arms arrive in a stream, and the number of arms that can be stored in the memory at any time, is bounded. The decision-maker can only pull…

Machine Learning · Computer Science 2020-12-10 Arnab Maiti , Vishakha Patil , Arindam Khan

By exploiting ultrafast and irregular time series generated by lasers with delayed feedback, we have previously demonstrated a scalable algorithm to solve multi-armed bandit (MAB) problems utilizing the time-division multiplexing of laser…

Signal Processing · Electrical Eng. & Systems 2020-05-28 Naoki Narisawa , Nicolas Chauvet , Mikio Hasegawa , Makoto Naruse

This paper focuses on the information freshness of finite-state Markov sources, using the uncertainty of information (UoI) as the performance metric. Measured by Shannon's entropy, UoI can capture not only the transition dynamics of the…

Information Theory · Computer Science 2023-04-25 Gongpu Chen , Soung Chang Liew

We study the initial beam acquisition problem in millimeter wave (mm-wave) networks from the perspective of best arm identification in multi-armed bandits (MABs). For the stationary environment, we propose a novel algorithm called…

Information Theory · Computer Science 2024-01-18 Gourab Ghatak

Stochastic multi-armed bandits are a sequential-decision-making framework, where, at each interaction step, the learner selects an arm and observes a stochastic reward. Within the context of best-arm identification (BAI) problems, the goal…

Machine Learning · Computer Science 2024-01-15 Riccardo Poiani , Alberto Maria Metelli , Marcello Restelli

We propose a generalization of the best arm identification problem in stochastic multi-armed bandits (MAB) to the setting where every pull of an arm is associated with delayed feedback. The delay in feedback increases the effective sample…