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We consider a multi-armed bandit problem where the decision maker can explore and exploit different arms at every round. The exploited arm adds to the decision maker's cumulative reward (without necessarily observing the reward) while the…

Machine Learning · Computer Science 2012-07-03 Orly Avner , Shie Mannor , Ohad Shamir

A latent bandit problem is one in which the learning agent knows the arm reward distributions conditioned on an unknown discrete latent state. The primary goal of the agent is to identify the latent state, after which it can act optimally.…

Machine Learning · Computer Science 2020-06-17 Joey Hong , Branislav Kveton , Manzil Zaheer , Yinlam Chow , Amr Ahmed , Craig Boutilier

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

Machine Learning · Computer Science 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

We propose a multi-agent multi-armed bandit (MA-MAB) framework aimed at ensuring fair outcomes across agents while maximizing overall system performance. A key challenge in this setting is decision-making under limited information about arm…

Machine Learning · Computer Science 2026-01-28 Tianyi Xu , Jiaxin Liu , Nicholas Mattei , Zizhan Zheng

The design of personalized incentives or recommendations to improve user engagement is gaining prominence as digital platform providers continually emerge. We propose a multi-armed bandit framework for matching incentives to users, whose…

Machine Learning · Computer Science 2018-07-09 Tanner Fiez , Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff

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

We consider a scenario where an agent has multiple available strategies to explore an unknown environment. For each new interaction with the environment, the agent must select which exploration strategy to use. We provide a new…

Machine Learning · Computer Science 2018-08-24 Fabien C. Y. Benureau , Pierre-Yves Oudeyer

This paper investigates stochastic multi-armed bandit algorithms that are robust to adversarial attacks, where an attacker can first observe the learner's action and {then} alter their reward observation. We study two cases of this model,…

Machine Learning · Computer Science 2024-08-19 Xuchuang Wang , Jinhang Zuo , Xutong Liu , John C. S. Lui , Mohammad Hajiesmaili

We study the problem of a buyer (aka auctioneer) who gains stochastic rewards by procuring multiple units of a service or item from a pool of heterogeneous strategic agents. The reward obtained for a single unit from an allocated agent…

Computer Science and Game Theory · Computer Science 2015-04-30 Satyanath Bhat , Shweta Jain , Sujit Gujar , Y. Narahari

This paper presents a class of Dynamic Multi-Armed Bandit problems where the reward can be modeled as the noisy output of a time varying linear stochastic dynamic system that satisfies some boundedness constraints. The class allows many…

Machine Learning · Computer Science 2017-10-10 T. W. U. Madhushani , D. H. S. Maithripala , N. E. Leonard

In many real-world applications, multiple agents seek to learn how to perform highly related yet slightly different tasks in an online bandit learning protocol. We formulate this problem as the $\epsilon$-multi-player multi-armed bandit…

Machine Learning · Computer Science 2021-07-21 Zhi Wang , Chicheng Zhang , Manish Kumar Singh , Laurel D. Riek , Kamalika Chaudhuri

In several applications of the stochastic multi-armed bandit problem, the traditional objective of maximizing the expected total reward can be inappropriate. In this paper, motivated by certain operational concerns in online platforms, we…

Machine Learning · Computer Science 2024-10-16 Eren Ozbay , Vijay Kamble

Stochastic linear contextual bandit algorithms have substantial applications in practice, such as recommender systems, online advertising, clinical trials, etc. Recent works show that optimal bandit algorithms are vulnerable to adversarial…

Machine Learning · Statistics 2023-01-31 Qin Ding , Cho-Jui Hsieh , James Sharpnack

In this paper, we study the stochastic linear bandit problem under the additional requirements of differential privacy, robustness and batched observations. In particular, we assume an adversary randomly chooses a constant fraction of the…

Machine Learning · Computer Science 2023-04-25 Vasileios Charisopoulos , Hossein Esfandiari , Vahab Mirrokni

Stochastic multi-agent multi-armed bandits typically assume that the rewards from each arm follow a fixed distribution, regardless of which agent pulls the arm. However, in many real-world settings, rewards can depend on the sensitivity of…

Multiagent Systems · Computer Science 2024-08-08 Lucia Gordon , Esther Rolf , Milind Tambe

In this paper, we consider a robust action selection problem in multi-agent systems where performance must be guaranteed when the system suffers a worst-case attack on its agents. Specifically, agents are tasked with selecting actions from…

Multiagent Systems · Computer Science 2022-06-24 Jun Liu , Ryan K. Williams

In machine learning, the notion of multi-armed bandits refers to a class of online learning problems, in which an agent is supposed to simultaneously explore and exploit a given set of choice alternatives in the course of a sequential…

Machine Learning · Computer Science 2021-07-13 Viktor Bengs , Robert Busa-Fekete , Adil El Mesaoudi-Paul , Eyke Hüllermeier

In this paper, we investigate a new multi-armed bandit (MAB) online learning model that considers real-world phenomena in many recommender systems: (i) the learning agent cannot pull the arms by itself and thus has to offer rewards to users…

Machine Learning · Computer Science 2021-06-01 Tianchen Zhou , Jia Liu , Chaosheng Dong , Jingyuan Deng

A key feature of sequential decision making under uncertainty is a need to balance between exploiting--choosing the best action according to the current knowledge, and exploring--obtaining information about values of other actions. The…

Machine Learning · Computer Science 2021-08-27 Dimitrije Markovic , Hrvoje Stojic , Sarah Schwoebel , Stefan J. Kiebel

The stochastic multi-armed bandit (MAB) problem is a common model for sequential decision problems. In the standard setup, a decision maker has to choose at every instant between several competing arms, each of them provides a scalar random…

Machine Learning · Statistics 2021-10-27 Asaf Cassel , Shie Mannor , Assaf Zeevi