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Thompson sampling is an algorithm for online decision problems where actions are taken sequentially in a manner that must balance between exploiting what is known to maximize immediate performance and investing to accumulate new information…

Machine Learning · Computer Science 2020-07-16 Daniel Russo , Benjamin Van Roy , Abbas Kazerouni , Ian Osband , Zheng Wen

Thompson sampling is an efficient algorithm for sequential decision making, which exploits the posterior uncertainty to address the exploration-exploitation dilemma. There has been significant recent interest in integrating Bayesian neural…

Machine Learning · Statistics 2020-08-07 Zhendong Wang , Mingyuan Zhou

Thompson sampling (TS) is a class of algorithms for sequential decision-making, which requires maintaining a posterior distribution over a model. However, calculating exact posterior distributions is intractable for all but the simplest…

Machine Learning · Statistics 2019-02-21 Ruiyi Zhang , Zheng Wen , Changyou Chen , Lawrence Carin

Thompson sampling (TS) is a popular heuristic for action selection, but it requires sampling from a posterior distribution. Unfortunately, this can become computationally intractable in complex environments, such as those modeled using…

Recently, it has been shown how sampling actions from the predictive distribution over the optimal action-sometimes called Thompson sampling-can be applied to solve sequential adaptive control problems, when the optimal policy is known for…

Artificial Intelligence · Computer Science 2014-09-24 Pedro A. Ortega , Daniel A. Braun

There is increasing interest in using streaming data to inform decision making across a wide range of application domains including mobile health, food safety, security, and resource management. A decision support system formalizes online…

Methodology · Statistics 2019-05-14 Tao Hu , Eric B. Laber , Zhen Li , Nick J. Meyer , Krishna Pacifici

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

Quantum Physics · Physics 2009-11-07 C. D'Helon , V. Protopopescu

One of the core applications of machine learning to knowledge discovery consists on building a function (a hypothesis) from a given amount of data (for instance a decision tree or a neural network) such that we can use it afterwards to…

Machine Learning · Computer Science 2007-05-23 Carlos Domingo , Ricard Gavalda , Osamu Watanabe

Thompson Sampling is a principled method for balancing exploration and exploitation, but its real-world adoption faces computational challenges in large-scale or non-conjugate settings. While ensemble-based approaches offer partial…

Machine Learning · Computer Science 2025-10-29 Yingru Li , Jiawei Xu , Baoxiang Wang , Zhi-Quan Luo

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

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

Machine Learning · Computer Science 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

Machine Learning · Computer Science 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet

Ensemble models refer to methods that combine a typically large number of classifiers into a compound prediction. The output of an ensemble method is the result of fitting a base-learning algorithm to a given data set, and obtaining diverse…

Machine Learning · Statistics 2019-06-10 Waldyn Martinez

In this note, we present a version of the Thompson sampling algorithm for the problem of online linear generalization with full information (i.e., the experts setting), studied by Kalai and Vempala, 2005. The algorithm uses a Gaussian prior…

Machine Learning · Statistics 2013-11-05 Aditya Gopalan

Ensembles improve prediction performance and allow uncertainty quantification by aggregating predictions from multiple models. In deep ensembling, the individual models are usually black box neural networks, or recently, partially…

Machine Learning · Statistics 2022-05-26 Lucas Kook , Andrea Götschi , Philipp FM Baumann , Torsten Hothorn , Beate Sick

We propose an extension of Thompson sampling to optimization problems over function spaces where the objective is a known functional of an unknown operator's output. We assume that queries to the operator (such as running a high-fidelity…

Machine Learning · Statistics 2026-01-21 Rafael Oliveira , Xuesong Wang , Kian Ming A. Chai , Edwin V. Bonilla

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

Machine Learning · Computer Science 2023-06-08 Chandrika Kamath

We derive computationally tractable methods to select a small subset of experiment settings from a large pool of given design points. The primary focus is on linear regression models, while the technique extends to generalized linear models…

Machine Learning · Statistics 2017-12-21 Yining Wang , Adams Wei Yu , Aarti Singh

We study the use of hypermodels to represent epistemic uncertainty and guide exploration. This generalizes and extends the use of ensembles to approximate Thompson sampling. The computational cost of training an ensemble grows with its…

Machine Learning · Computer Science 2020-06-16 Vikranth Dwaracherla , Xiuyuan Lu , Morteza Ibrahimi , Ian Osband , Zheng Wen , Benjamin Van Roy
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