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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 a sequential resource allocation problem where a decision maker selects subsets of agents at each period to maximize overall outcomes without prior knowledge of individual-level effects. Our framework applies to settings such as…

Machine Learning · Computer Science 2025-08-29 Katherine B. Adams , Justin J. Boutilier , Qinyang He , Yonatan Mintz

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

Optimization and Control · Mathematics 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

We study two model selection settings in stochastic linear bandits (LB). In the first setting, which we refer to as feature selection, the expected reward of the LB problem is in the linear span of at least one of $M$ feature maps (models).…

Machine Learning · Computer Science 2022-06-20 Ahmadreza Moradipari , Berkay Turan , Yasin Abbasi-Yadkori , Mahnoosh Alizadeh , Mohammad Ghavamzadeh

We study a generalization of the multi-armed bandit problem with multiple plays where there is a cost associated with pulling each arm and the agent has a budget at each time that dictates how much she can expect to spend. We derive an…

Machine Learning · Statistics 2019-09-13 Alexander Luedtke , Emilie Kaufmann , Antoine Chambaz

This paper tackles a multi-agent bandit setting where $M$ agents cooperate together to solve the same instance of a $K$-armed stochastic bandit problem. The agents are \textit{heterogeneous}: each agent has limited access to a local subset…

Machine Learning · Computer Science 2022-02-18 Lin Yang , Yu-zhen Janice Chen , Mohammad Hajiesmaili , John CS Lui , Don Towsley

Classical multi-armed bandit problems use the expected value of an arm as a metric to evaluate its goodness. However, the expected value is a risk-neutral metric. In many applications like finance, one is interested in balancing the…

Machine Learning · Computer Science 2019-06-04 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

We study the Bandit Clustering (BC) problem under the fixed confidence setting, where the objective is to group a collection of data sequences (arms) into clusters through sequential sampling from adaptively selected arms at each time step…

Machine Learning · Computer Science 2026-01-15 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

We study a distributed decision-making problem in which multiple agents face the same multi-armed bandit (MAB), and each agent makes sequential choices among arms to maximize its own individual reward. The agents cooperate by sharing their…

Optimization and Control · Mathematics 2020-08-13 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

We consider Pareto front identification (PFI) for linear bandits (PFILin), i.e., the goal is to identify a set of arms with undominated mean reward vectors when the mean reward vector is a linear function of the context. PFILin includes the…

Machine Learning · Statistics 2024-05-24 Wonyoung Kim , Garud Iyengar , Assaf Zeevi

We study a Combinatorial Multi-Bandit Problem motivated by applications in energy systems management. Given multiple probabilistic multi-arm bandits with unknown outcome distributions, the task is to optimize the value of a combinatorial…

Machine Learning · Computer Science 2020-11-05 Tobias Jacobs , Mischa Schmidt , Sébastien Nicolas , Anett Schülke

We address the problem of finding the maximizer of a nonlinear smooth function, that can only be evaluated point-wise, subject to constraints on the number of permitted function evaluations. This problem is also known as fixed-budget best…

Machine Learning · Statistics 2013-11-12 Matthew W. Hoffman , Bobak Shahriari , Nando de Freitas

We consider the problem of \textit{best arm identification} with a \textit{fixed budget $T$}, in the $K$-armed stochastic bandit setting, with arms distribution defined on $[0,1]$. We prove that any bandit strategy, for at least one bandit…

Machine Learning · Statistics 2016-05-31 Alexandra Carpentier , Andrea Locatelli

We study the pure exploration problem subject to a matroid constraint (Best-Basis) in a stochastic multi-armed bandit game. In a Best-Basis instance, we are given $n$ stochastic arms with unknown reward distributions, as well as a matroid…

Machine Learning · Computer Science 2016-05-26 Lijie Chen , Anupam Gupta , Jian Li

We consider the problem of decision-making under uncertainty in an environment with safety constraints. Many business and industrial applications rely on real-time optimization to improve key performance indicators. In the case of unknown…

Machine Learning · Computer Science 2023-01-31 Buse Sibel Korkmaz , Marta Zagórowska , Mehmet Mercangöz

Stochastic multi-armed bandits solve the Exploration-Exploitation dilemma and ultimately maximize the expected reward. Nonetheless, in many practical problems, maximizing the expected reward is not the most desirable objective. In this…

Machine Learning · Computer Science 2013-01-10 Amir Sani , Alessandro Lazaric , Rémi Munos

Restless multi-armed bandits are often used to model budget-constrained resource allocation tasks where receipt of the resource is associated with an increased probability of a favorable state transition. Prior work assumes that individual…

Machine Learning · Computer Science 2022-12-13 Christine Herlihy , John P. Dickerson

We propose a new problem setting to study the sequential interactions between a recommender system and a user. Instead of assuming the user is omniscient, static, and explicit, as the classical practice does, we sketch a more realistic user…

Machine Learning · Computer Science 2021-10-08 Fan Yao , Chuanhao Li , Denis Nekipelov , Hongning Wang , Haifeng Xu

We propose the first fully-adaptive algorithm for pure exploration in linear bandits---the task to find the arm with the largest expected reward, which depends on an unknown parameter linearly. While existing methods partially or entirely…

Machine Learning · Statistics 2017-10-17 Liyuan Xu , Junya Honda , Masashi Sugiyama

We study a specific \textit{combinatorial pure exploration stochastic bandit problem} where the learner aims at finding the set of arms whose means are above a given threshold, up to a given precision, and \textit{for a fixed time horizon}.…

Machine Learning · Statistics 2016-05-30 Andrea Locatelli , Maurilio Gutzeit , Alexandra Carpentier