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Sequential decision-making under uncertainty often involves multiple agents learning which actions (arms) yield the highest rewards through repeated interaction with a stochastic environment. This setting is commonly modeled by cooperative…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Evagoras Makridis , Themistoklis Charalambous

By exploiting ultrafast and irregular time series generated by lasers with delayed feedback, we have previously demonstrated a scalable algorithm to solve multi-armed bandit (MAB) problems utilizing the time-division multiplexing of laser…

Signal Processing · Electrical Eng. & Systems 2020-05-28 Naoki Narisawa , Nicolas Chauvet , Mikio Hasegawa , Makoto Naruse

Multi-armed bandit (MAB) algorithms are efficient approaches to reduce the opportunity cost of online experimentation and are used by companies to find the best product from periodically refreshed product catalogs. However, these algorithms…

Machine Learning · Computer Science 2024-12-19 Mohsen Bayati , Junyu Cao , Wanning Chen

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

Multi-armed bandits (MAB) and causal MABs (CMAB) are established frameworks for decision-making problems. The majority of prior work typically studies and solves individual MAB and CMAB in isolation for a given problem and associated data.…

We define a general framework for a large class of combinatorial multi-armed bandit (CMAB) problems, where subsets of base arms with unknown distributions form super arms. In each round, a super arm is played and the base arms contained in…

Machine Learning · Computer Science 2016-03-30 Wei Chen , Yajun Wang , Yang Yuan , Qinshi Wang

Multi-arm bandit (MAB) is a classic online learning framework that studies the sequential decision-making in an uncertain environment. The MAB framework, however, overlooks the scenario where the decision-maker cannot take actions (e.g.,…

Computer Science and Game Theory · Computer Science 2021-12-30 Zhiyuan Wang , Lin Gao , Jianwei Huang

Sequential decisions in volatile, high-stakes settings require more than maximizing expected return; they require principled uncertainty management. This paper presents the Uncertainty-Aware Markov Decision Process (UAMDP), a unified…

Machine Learning · Computer Science 2025-12-19 Michal Koren , Or Peretz , Tai Dinh , Philip S. Yu

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration. Instead of directly maximizing cumulative expected reward, we need to balance between the total reward and…

Machine Learning · Statistics 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

This paper presents a concise review of Contextual Multi-Armed Bandit (CMAB) methods and introduces an experimental framework for scalable, interpretable offer selection, addressing the challenge of fast-changing offers. The approach models…

Machine Learning · Computer Science 2025-05-23 Nikola Tankovic , Robert Sajina

We propose and study a planning problem we call Sequential Fault-Intolerant Process Planning (SFIPP). SFIPP captures a reward structure common in many sequential multi-stage decision problems where the planning is deemed successful only if…

Artificial Intelligence · Computer Science 2025-02-10 Andrzej Kaczmarczyk , Davin Choo , Niclas Boehmer , Milind Tambe , Haifeng Xu

During online decision making in Multi-Armed Bandits (MAB), one needs to conduct inference on the true mean reward of each arm based on data collected so far at each step. However, since the arms are adaptively selected--thereby yielding…

Machine Learning · Computer Science 2021-06-29 Maria Dimakopoulou , Zhimei Ren , Zhengyuan Zhou

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

Optimization and Control · Mathematics 2025-05-12 Yu Bai , Yiming Li , Xi Xiong

We study the stochastic Budgeted Multi-Armed Bandit (MAB) problem, where a player chooses from $K$ arms with unknown expected rewards and costs. The goal is to maximize the total reward under a budget constraint. A player thus seeks to…

Machine Learning · Computer Science 2023-08-16 Marco Heyden , Vadim Arzamasov , Edouard Fouché , Klemens Böhm

Contextual multi-armed bandit (MAB) achieves cutting-edge performance on a variety of problems. When it comes to real-world scenarios such as recommendation system and online advertising, however, it is essential to consider the resource…

Machine Learning · Computer Science 2020-04-07 Mengyue Yang , Qingyang Li , Zhiwei Qin , Jieping Ye

We propose a generalization of the best arm identification problem in stochastic multi-armed bandits (MAB) to the setting where every pull of an arm is associated with delayed feedback. The delay in feedback increases the effective sample…

Recommendation systems are a vital component of many online marketplaces, where there are often millions of items to potentially present to users who have a wide variety of wants or needs. Evaluating recommender system algorithms is a hard…

Information Retrieval · Computer Science 2019-08-20 Meisam Hejazinia , Kyler Eastman , Shuqin Ye , Abbas Amirabadi , Ravi Divvela

We study the constrained variant of the \emph{multi-armed bandit} (MAB) problem, in which the learner aims not only at minimizing the total loss incurred during the learning dynamic, but also at controlling the violation of multiple…

Machine Learning · Computer Science 2026-02-17 Francesco Emanuele Stradi , Kalana Kalupahana , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Individual decision-makers consume information revealed by the previous decision makers, and produce information that may help in future decisions. This phenomenon is common in a wide range of scenarios in the Internet economy, as well as…

Computer Science and Game Theory · Computer Science 2019-05-06 Yishay Mansour , Aleksandrs Slivkins , Vasilis Syrgkanis

Contextual multi-armed bandits (CMAB) have been widely used for learning to filter and prioritize information according to a user's interest. In this work, we analyze top-K ranking under the CMAB framework where the top-K arms are chosen…

Machine Learning · Computer Science 2022-01-31 Michael Rawson , Jade Freeman
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