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The deployment of Multi-Armed Bandits (MAB) has become commonplace in many economic applications. However, regret guarantees for even state-of-the-art linear bandit algorithms (such as Optimism in the Face of Uncertainty Linear bandit…

Econometrics · Economics 2023-02-28 Jingwen Zhang , Yifang Chen , Amandeep Singh

We investigate the problem of stochastic, combinatorial multi-armed bandits where the learner only has access to bandit feedback and the reward function can be non-linear. We provide a general framework for adapting discrete offline…

Machine Learning · Computer Science 2023-10-13 Guanyu Nie , Yididiya Y Nadew , Yanhui Zhu , Vaneet Aggarwal , Christopher John Quinn

The multi-armed bandit (MAB) problem is an active learning framework that aims to select the best among a set of actions by sequentially observing rewards. Recently, it has become popular for a number of applications over wireless networks,…

Machine Learning · Computer Science 2021-11-12 Osama A. Hanna , Lin F. Yang , Christina Fragouli

This paper introduces the first asymptotically optimal strategy for a multi armed bandit (MAB) model under side constraints. The side constraints model situations in which bandit activations are limited by the availability of certain…

Machine Learning · Statistics 2025-02-10 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

E-commerce sites strive to provide users the most timely relevant information in order to reduce shopping frictions and increase customer satisfaction. Multi armed bandit models (MAB) as a type of adaptive optimization algorithms provide…

Information Retrieval · Computer Science 2021-08-23 Ding Xiang , Becky West , Jiaqi Wang , Xiquan Cui , Jinzhou Huang

We study the problem of selecting large language models (LLMs) for user queries in settings where multiple LLM providers submit the cost of solving a query. From the users' perspective, choosing an optimal model is a sequential,…

Computer Science and Game Theory · Computer Science 2026-02-17 Pronoy Patra , Sankarshan Damle , Manisha Padala , Sujit Gujar

We study the stochastic multi-armed bandit (MAB) problem in the presence of side-observations across actions that occur as a result of an underlying network structure. In our model, a bipartite graph captures the relationship between…

Machine Learning · Computer Science 2017-07-14 Swapna Buccapatnam , Fang Liu , Atilla Eryilmaz , Ness B. Shroff

In this paper, we investigate a largely extended version of classical MAB problem, called networked combinatorial bandit problems. In particular, we consider the setting of a decision maker over a networked bandits as follows: each time a…

Machine Learning · Computer Science 2015-03-23 Shaojie Tang , Yaqin Zhou

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

Selecting the best large language model (LLM) for a fixed benchmark is often expensive, since exhaustive evaluation requires running every model on every example. Multi-armed bandit (MAB) algorithms can reduce the number of LLM calls by…

Machine Learning · Computer Science 2026-05-12 Elad Tolochinsky , Yaniv Tenzer , Yaniv Romano

The multi-armed bandit (MAB) problem is a classic example of the exploration-exploitation dilemma. It is concerned with maximising the total rewards for a gambler by sequentially pulling an arm from a multi-armed slot machine where each arm…

Machine Learning · Statistics 2018-05-16 Xue Lu , Niall Adams , Nikolas Kantas

The multi-armed bandit (MAB) problems are widely studied in fields of operations research, stochastic optimization, and reinforcement learning. In this paper, we consider the classical MAB model with heavy-tailed reward distributions and…

Machine Learning · Computer Science 2025-09-16 Keqin Liu , Tianshuo Zheng , Zhi-Hua Zhou

Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such…

Machine Learning · Computer Science 2014-10-30 Onur Atan , Cem Tekin , Mihaela van der Schaar

Bandit optimization usually refers to the class of online optimization problems with limited feedback, namely, a decision maker uses only the objective value at the current point to make a new decision and does not have access to the…

Machine Learning · Computer Science 2026-02-18 Yuriy Dorn , Aleksandr Katrutsa , Ilgam Latypov , Anastasiia Soboleva

We seek to take a different approach in deriving the optimal search policy for the repeated consumer search model found in Fishman and Rob (1995) with the main motivation of dropping the assumption of prior knowledge of the price…

Theoretical Economics · Economics 2020-12-24 Tung Yu Marco Chan

We introduce and study a new variant of the multi-armed bandit problem (MAB), called the survival bandit problem (S-MAB). While in both problems, the objective is to maximize the so-called cumulative reward, in this new variant, the…

Machine Learning · Computer Science 2024-01-09 Charles Riou , Junya Honda , Masashi Sugiyama

We consider a multi-armed bandit problem in a setting where each arm produces a noisy reward realization which depends on an observable random covariate. As opposed to the traditional static multi-armed bandit problem, this setting allows…

Statistics Theory · Mathematics 2013-05-27 Vianney Perchet , Philippe Rigollet

The goal of off-policy evaluation (OPE) is to evaluate a new policy using historical data obtained via a behavior policy. However, because the contextual bandit algorithm updates the policy based on past observations, the samples are not…

Machine Learning · Computer Science 2020-10-27 Masahiro Kato , Yusuke Kaneko

We study the problem of online learning in adversarial bandit problems under a partial observability model called off-policy feedback. In this sequential decision making problem, the learner cannot directly observe its rewards, but instead…

Machine Learning · Computer Science 2022-07-20 Germano Gabbianelli , Matteo Papini , Gergely Neu

When humans collaborate with each other, they often make decisions by observing others and considering the consequences that their actions may have on the entire team, instead of greedily doing what is best for just themselves. We would…

Machine Learning · Computer Science 2021-12-17 Erdem Bıyık , Anusha Lalitha , Rajarshi Saha , Andrea Goldsmith , Dorsa Sadigh
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