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We study the problem of finding the optimal dosage in early stage clinical trials through the multi-armed bandit lens. We advocate the use of the Thompson Sampling principle, a flexible algorithm that can accommodate different types of…

Machine Learning · Statistics 2020-04-09 Maryam Aziz , Emilie Kaufmann , Marie-Karelle Riviere

To maintain the accuracy of supervised learning models in the presence of evolving data streams, we provide temporally-biased sampling schemes that weight recent data most heavily, with inclusion probabilities for a given data item decaying…

Databases · Computer Science 2019-06-14 Brian Hentschel , Peter J. Haas , Yuanyuan Tian

In this paper, we investigate the performance of Thompson Sampling (TS) for online learning with censored feedback, focusing primarily on the classic repeated newsvendor model--a foundational framework in inventory management--and…

Machine Learning · Computer Science 2026-01-19 Li Chen , Hanzhang Qin , Yunbei Xu , Ruihao Zhu , Weizhou Zhang

Thompson sampling has impressive empirical performance for many multi-armed bandit problems. But current algorithms for Thompson sampling only work for the case of conjugate priors since these algorithms require to infer the posterior,…

Machine Learning · Computer Science 2017-08-17 Yichi Zhou , Jun Zhu , Jingwei Zhuo

In this paper we apply active learning algorithms for dynamic pricing in a prominent e-commerce website. Dynamic pricing involves changing the price of items on a regular basis, and uses the feedback from the pricing decisions to update…

Machine Learning · Statistics 2018-02-12 Ravi Ganti , Matyas Sustik , Quoc Tran , Brian Seaman

The exploding popularity of online content and its user base poses an evermore challenging matching problem for modern recommendation systems. Unlike other frontiers of machine learning such as natural language, recommendation systems are…

Information Retrieval · Computer Science 2024-12-09 Hong Jun Jeon , Songbin Liu , Yuantong Li , Jie Lyu , Hunter Song , Ji Liu , Peng Wu , Zheqing Zhu

Bayesian optimization in large unstructured discrete spaces is often hindered by the computational cost of maximizing acquisition functions due to the absence of gradients. We propose a scalable alternative based on Thompson sampling that…

Machine Learning · Computer Science 2026-03-02 Nicolas Menet , Aleksandar Terzić , Michael Hersche , Andreas Krause , Abbas Rahimi

Randomized clinical trials often require large patient cohorts before drawing definitive conclusions, yet abundant observational data from parallel studies remains underutilized due to confounding and hidden biases. To bridge this gap, we…

Machine Learning · Statistics 2025-05-26 Prateek Jaiswal , Esmaeil Keyvanshokooh , Junyu Cao

In algorithm optimization in reinforcement learning, how to deal with the exploration-exploitation dilemma is particularly important. Multi-armed bandit problem can optimize the proposed solutions by changing the reward distribution to…

Machine Learning · Statistics 2022-03-28 Zhendong Shi , Ercan E. Kuruoglu , Xiaoli Wei

We study the problem of online multi-task learning where the tasks are performed within similar but not necessarily identical multi-armed bandit environments. In particular, we study how a learner can improve its overall performance across…

Machine Learning · Computer Science 2022-06-20 Zhi Wang , Chicheng Zhang , Kamalika Chaudhuri

We design and analyse variations of the classical Thompson sampling (TS) procedure for Bayesian optimisation (BO) in settings where function evaluations are expensive, but can be performed in parallel. Our theoretical analysis shows that a…

Machine Learning · Statistics 2017-05-26 Kirthevasan Kandasamy , Akshay Krishnamurthy , Jeff Schneider , Barnabas Poczos

Bayesian optimization (BO) has become a powerful tool for solving simulation-based engineering optimization problems thanks to its ability to integrate physical and mathematical understandings, consider uncertainty, and address the…

Machine Learning · Computer Science 2024-11-01 Bach Do , Taiwo Adebiyi , Ruda Zhang

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

Machine Learning · Statistics 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

This paper considers the use of a simple posterior sampling algorithm to balance between exploration and exploitation when learning to optimize actions such as in multi-armed bandit problems. The algorithm, also known as Thompson Sampling,…

Machine Learning · Computer Science 2014-02-04 Daniel Russo , Benjamin Van Roy

In the stochastic multi-armed bandit problem, a randomized probability matching policy called Thompson sampling (TS) has shown excellent performance in various reward models. In addition to the empirical performance, TS has been shown to…

Machine Learning · Computer Science 2023-02-06 Jongyeong Lee , Junya Honda , Chao-Kai Chiang , Masashi Sugiyama

We consider a finite-horizon multi-armed bandit (MAB) problem in a Bayesian setting, for which we propose an information relaxation sampling framework. With this framework, we define an intuitive family of control policies that include…

Machine Learning · Computer Science 2021-06-17 Seungki Min , Costis Maglaras , Ciamac C. Moallemi

We consider a sequential subset selection problem under parameter uncertainty, where at each time step, the decision maker selects a subset of cardinality $K$ from $N$ possible items (arms), and observes a (bandit) feedback in the form of…

Machine Learning · Computer Science 2019-01-07 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi

In this study, I investigate the dynamic decision problem with a finite parameter space when the functional form of conditional expected rewards is misspecified. Traditional algorithms, such as Thompson Sampling, guarantee neither an…

Econometrics · Economics 2025-05-22 Xinyu Dai

We develop a form Thompson sampling for online learning under full feedback - also known as prediction with expert advice - where the learner's prior is defined over the space of an adversary's future actions, rather than the space of…

Machine Learning · Computer Science 2025-09-23 Alexander Terenin , Jeffrey Negrea

Promoting healthy lifestyle behaviors remains a major public health concern, particularly due to their crucial role in preventing chronic conditions such as cancer, heart disease, and type 2 diabetes. Mobile health applications present a…

Machine Learning · Computer Science 2024-05-24 Aishwarya Mandyam , Matthew Jörke , William Denton , Barbara E. Engelhardt , Emma Brunskill