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We study the process-level dynamics of Thompson sampling and related sampling-based bandit algorithms in the ``small gap'' regime, where the gaps between the arm means are of order $\sqrt{\gamma}$ or smaller and the time horizon is of order…

Machine Learning · Computer Science 2026-04-23 Lin Fan , Peter W. Glynn

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 propose a novel framework for structured bandits, which we call an influence diagram bandit. Our framework captures complex statistical dependencies between actions, latent variables, and observations; and thus unifies and extends many…

Machine Learning · Computer Science 2020-07-10 Tong Yu , Branislav Kveton , Zheng Wen , Ruiyi Zhang , Ole J. Mengshoel

We consider the contextual bandit problem, where a player sequentially makes decisions based on past observations to maximize the cumulative reward. Although many algorithms have been proposed for contextual bandit, most of them rely on…

Machine Learning · Computer Science 2021-06-08 Qin Ding , Cho-Jui Hsieh , James Sharpnack

We consider a novel formulation of the multi-armed bandit model, which we call the contextual bandit with restricted context, where only a limited number of features can be accessed by the learner at every iteration. This novel formulation…

Artificial Intelligence · Computer Science 2017-06-09 Djallel Bouneffouf , Irina Rish , Guillermo A. Cecchi , Raphael Feraud

We propose an adaptive sampling approach for multiple testing which aims to maximize statistical power while ensuring anytime false discovery control. We consider $n$ distributions whose means are partitioned by whether they are below or…

Machine Learning · Statistics 2019-07-18 Kevin Jamieson , Lalit Jain

We use a simulation study to compare three methods for adaptive experimentation: Thompson sampling, Tempered Thompson sampling, and Exploration sampling. We gauge the performance of each in terms of social welfare and estimation accuracy,…

Methodology · Statistics 2022-07-05 Samantha Horn , Sabina J. Sloman

We consider the problem of an aggregator attempting to learn customers' load flexibility models while implementing a load shaping program by means of broadcasting daily dispatch signals. We adopt a multi-armed bandit formulation to account…

Systems and Control · Electrical Eng. & Systems 2020-06-19 Nathaniel Tucker , Ahmadreza Moradipari , Mahnoosh Alizadeh

Ensemble sampling serves as a practical approximation to Thompson sampling when maintaining an exact posterior distribution over model parameters is computationally intractable. In this paper, we establish a regret bound that ensures…

Machine Learning · Computer Science 2023-03-02 Chao Qin , Zheng Wen , Xiuyuan Lu , Benjamin Van Roy

Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several studies demonstrated it to have better…

Machine Learning · Computer Science 2012-09-18 Shipra Agrawal , Navin Goyal

We consider incentivized exploration: a version of multi-armed bandits where the choice of arms is controlled by self-interested agents, and the algorithm can only issue recommendations. The algorithm controls the flow of information, and…

Computer Science and Game Theory · Computer Science 2022-06-14 Mark Sellke , Aleksandrs Slivkins

Modifying the reward-biased maximum likelihood method originally proposed in the adaptive control literature, we propose novel learning algorithms to handle the explore-exploit trade-off in linear bandits problems as well as generalized…

Machine Learning · Computer Science 2020-10-09 Yu-Heng Hung , Ping-Chun Hsieh , Xi Liu , P. R. Kumar

We study the effect of persistence of engagement on learning in a stochastic multi-armed bandit setting. In advertising and recommendation systems, repetition effect includes a wear-in period, where the user's propensity to reward the…

Machine Learning · Computer Science 2020-06-19 Priyank Agrawal , Theja Tulabandhula

The empirically successful Thompson Sampling algorithm for stochastic bandits has drawn much interest in understanding its theoretical properties. One important benefit of the algorithm is that it allows domain knowledge to be conveniently…

Machine Learning · Computer Science 2016-07-22 Che-Yu Liu , Lihong Li

Online decision making plays a crucial role in numerous real-world applications. In many scenarios, the decision is made based on performing a sequence of tests on the incoming data points. However, performing all tests can be expensive and…

Machine Learning · Computer Science 2025-01-30 Arman Rahbar , Niklas Åkerblom , Morteza Haghir Chehreghani

Thompson Sampling has generated significant interest due to its better empirical performance than upper confidence bound based algorithms. In this paper, we study Thompson Sampling based algorithm for Unsupervised Sequential Selection (USS)…

Machine Learning · Computer Science 2020-09-17 Arun Verma , Manjesh K. Hanawal , Nandyala Hemachandra

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

Machine Learning · Computer Science 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

Thompson sampling has become a ubiquitous approach to online decision problems with bandit feedback. The key algorithmic task for Thompson sampling is drawing a sample from the posterior of the optimal action. We propose an alternative arm…

Machine Learning · Computer Science 2021-05-05 Jackie Baek , Vivek F. Farias

This paper studies regret minimization in a multi-armed bandit. It is well known that side information, such as the prior distribution of arm means in Thompson sampling, can improve the statistical efficiency of the bandit algorithm. While…

Machine Learning · Computer Science 2022-03-08 Rong Zhu , Branislav Kveton

Time-constrained decision processes have been ubiquitous in many fundamental applications in physics, biology and computer science. Recently, restart strategies have gained significant attention for boosting the efficiency of…

Machine Learning · Computer Science 2020-07-02 Semih Cayci , Atilla Eryilmaz , R. Srikant
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