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In fixed budget bandit identification, an algorithm sequentially observes samples from several distributions up to a given final time. It then answers a query about the set of distributions. A good algorithm will have a small probability of…

Machine Learning · Statistics 2023-07-03 Rémy Degenne

Motivated by the task of hyperparameter optimization, we introduce the non-stochastic best-arm identification problem. Within the multi-armed bandit literature, the cumulative regret objective enjoys algorithms and analyses for both the…

Machine Learning · Computer Science 2015-03-02 Kevin Jamieson , Ameet Talwalkar

We study the problem of identifying the best arm in a stochastic multi-armed bandit game. Given a set of $n$ arms indexed from $1$ to $n$, each arm $i$ is associated with an unknown reward distribution supported on $[0,1]$ with mean…

Machine Learning · Computer Science 2023-05-30 Pinyan Lu , Chao Tao , Xiaojin Zhang

Good arm identification (GAI) is a pure-exploration bandit problem in which a single learner outputs an arm as soon as it is identified as a good arm. A good arm is defined as an arm with an expected reward greater than or equal to a given…

Machine Learning · Computer Science 2024-03-13 Tzu-Hsien Tsai , Yun-Da Tsai , Shou-De Lin

This paper studies efficient data management and timely information dissemination for real-time monitoring of an $N$-state Markov process, enabling accurate state estimation and reliable actuation decisions. First, we analyze the Age of…

Information Theory · Computer Science 2026-04-02 Mehrdad Salimnejad , Anthony Ephremides , Marios Kountouris , Nikolaos Pappas

We study the problem of online clustering of data sequences in the multi-armed bandit (MAB) framework under the fixed-confidence setting. There are $M$ arms, each providing i.i.d. samples from a parametric distribution whose parameters are…

Machine Learning · Computer Science 2026-03-23 G Dhinesh Chandran , Srinivas Reddy Kota , Srikrishna Bhashyam

Consider a requester who wishes to crowdsource a series of identical binary labeling tasks to a pool of workers so as to achieve an assured accuracy for each task, in a cost optimal way. The workers are heterogeneous with unknown but fixed…

Computer Science and Game Theory · Computer Science 2015-06-18 Shweta Jain , Sujit Gujar , Satyanath Bhat , Onno Zoeter , Y. Narahari

Active learning methods have shown great promise in reducing the number of samples necessary for learning. As automated learning systems are adopted into real-time, real-world decision-making pipelines, it is increasingly important that…

Machine Learning · Computer Science 2022-06-23 Romain Camilleri , Andrew Wagenmaker , Jamie Morgenstern , Lalit Jain , Kevin Jamieson

We study the Pareto frontier of two archetypal objectives in multi-armed bandits, namely, regret minimization (RM) and best arm identification (BAI) with a fixed horizon. It is folklore that the balance between exploitation and exploration…

Machine Learning · Computer Science 2023-06-12 Zixin Zhong , Wang Chi Cheung , Vincent Y. F. Tan

We consider best arm identification in the multi-armed bandit problem. Assuming certain continuity conditions of the prior, we characterize the rate of the Bayesian simple regret. Differing from Bayesian regret minimization (Lai, 1987), the…

Machine Learning · Computer Science 2023-07-27 Junpei Komiyama , Kaito Ariu , Masahiro Kato , Chao Qin

We focus on the problem of best-arm identification in a stochastic multi-arm bandit with temporally decreasing variances for the arms' rewards. We model arm rewards as Gaussian random variables with fixed means and variances that decrease…

Machine Learning · Computer Science 2025-02-12 Tamojeet Roychowdhury , Kota Srinivas Reddy , Krishna P Jagannathan , Sharayu Moharir

The best arm identification problem requires identifying the best alternative (i.e., arm) in active experimentation using the smallest number of experiments (i.e., arm pulls), which is crucial for cost-efficient and timely decision-making…

Machine Learning · Computer Science 2025-06-17 Kapilan Balagopalan , Tuan Ngo Nguyen , Yao Zhao , Kwang-Sung Jun

Effective control of time-sensitive industrial applications depends on the real-time transmission of data from underlying sensors. Quantifying the data freshness through age of information (AoI), in this paper, we jointly design sampling…

Information Theory · Computer Science 2023-12-19 Yali Cao , Yinglei Teng , Mei Song , Nan Wang

This study considers a wireless network where multiple nodes transmit status updates to a base station (BS) via a shared, error-free channel with limited bandwidth. The status updates arrive at each node randomly. We use the Age of…

Information Theory · Computer Science 2025-03-14 Yuqiao He , Yuchao Chen , Jintao Wang , Jian Song

We consider the problem of best arm identification in the multi-armed bandit model, under fixed confidence. Given a confidence input $\delta$, the goal is to identify the arm with the highest mean reward with a probability of at least 1 --…

Machine Learning · Statistics 2023-12-21 El Mehdi Saad , Gilles Blanchard , Nicolas Verzelen

This paper revisits the problem of sampling and transmitting status updates through a channel with random delay under a sampling frequency constraint \cite{sun_17_tit}. We use the Age of Information (AoI) to characterize the status…

Information Theory · Computer Science 2023-01-05 Haoyue Tang , Yuchao Chen , Jintao Wang , Pengkun Yang , Leandros Tassiulas

Real-time video analytics services aim to provide users with accurate recognition results timely. However, existing studies usually fall into the dilemma between reducing delay and improving accuracy. The edge computing scenario imposes…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-24 Xishuo Li , Shan Zhang , Yuejiao Huang , Xiao Ma , Zhiyuan Wang , Hongbin Luo

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,…

Machine Learning · Computer Science 2025-06-19 Ryoma Sato , Shinji Ito

We consider the problem of minimizing the time average cost of sampling and transmitting status updates by users over a wireless channel subject to average Age of Information constraints (AoI). Errors in the transmission may occur and the…

Networking and Internet Architecture · Computer Science 2020-03-06 Emmanouil Fountoulakis , Nikolaos Pappas , Marian Codreanu , Anthony Ephremides

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…

Machine Learning · Computer Science 2019-06-20 Tomer Gafni , Kobi Cohen