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We propose a novel modification of the standard upper confidence bound (UCB) method for the stochastic multi-armed bandit (MAB) problem which tunes the confidence bound of a given bandit based on its distance to others. Our UCB distance…

Machine Learning · Statistics 2021-10-07 Xinyu Zhang , Srinjoy Das , Ken Kreutz-Delgado

We study the regret in stochastic Multi-Armed Bandits (MAB) with multiple agents that communicate over an arbitrary connected communication graph. We analyzed a variant of Cooperative Successive Elimination algorithm, COOP-SE, and show an…

Machine Learning · Computer Science 2026-02-04 Idan Barnea , Tal Lancewicki , Yishay Mansour

We consider the problem of distributed online learning with multiple players in multi-armed bandits (MAB) models. Each player can pick among multiple arms. When a player picks an arm, it gets a reward. We consider both i.i.d. reward model…

Optimization and Control · Mathematics 2016-11-18 Dileep Kalathil , Naumaan Nayyar , Rahul Jain

Contextual multi-armed bandit (MAB) algorithms have been shown promising for maximizing cumulative rewards in sequential decision tasks such as news article recommendation systems, web page ad placement algorithms, and mobile health.…

Machine Learning · Statistics 2019-02-01 Gi-Soo Kim , Myunghee Cho Paik

Multi-armed bandit (MAB) problems serve as a fundamental building block for more complex reinforcement learning algorithms. However, evaluating and comparing MAB algorithms remains challenging due to the lack of standardized conditions and…

Machine Learning · Computer Science 2025-11-03 Elise Wolf

Recently, there has been extensive study of cooperative multi-agent multi-armed bandits where a set of distributed agents cooperatively play the same multi-armed bandit game. The goal is to develop bandit algorithms with the optimal group…

Machine Learning · Computer Science 2023-08-09 Lin Yang , Xuchuang Wang , Mohammad Hajiesmaili , Lijun Zhang , John C. S. Lui , Don Towsley

The fundamental problem of multiple secondary users contending for opportunistic spectrum access over multiple channels in cognitive radio networks has been formulated recently as a decentralized multi-armed bandit (D-MAB) problem. In a…

Machine Learning · Computer Science 2011-04-04 Yi Gai , Bhaskar Krishnamachari

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

Machine Learning · Computer Science 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian

We consider the problem where M agents collaboratively interact with an instance of a stochastic K-armed contextual bandit, where K>>M. The goal of the agents is to simultaneously minimize the cumulative regret over all the agents over a…

Machine Learning · Computer Science 2022-11-16 Jiabin Lin , Shana Moothedath

Due to the broad range of applications of stochastic multi-armed bandit model, understanding the effects of adversarial attacks and designing bandit algorithms robust to attacks are essential for the safe applications of this model. In this…

Machine Learning · Computer Science 2020-10-28 Guanlin Liu , Lifeng lai

We consider the Adversarial Multi-Armed Bandits (MAB) problem with unbounded losses, where the algorithms have no prior knowledge on the sizes of the losses. We present UMAB-NN and UMAB-G, two algorithms for non-negative and general…

Machine Learning · Statistics 2023-10-04 Mingyu Chen , Xuezhou Zhang

We study the stochastic multi-armed bandit problem with the graph-based feedback structure introduced by Mannor and Shamir. We analyze the performance of the two most prominent stochastic bandit algorithms, Thompson Sampling and Upper…

Machine Learning · Computer Science 2020-02-17 Thodoris Lykouris , Eva Tardos , Drishti Wali

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

We propose $\tt RandUCB$, a bandit strategy that builds on theoretically derived confidence intervals similar to upper confidence bound (UCB) algorithms, but akin to Thompson sampling (TS), it uses randomization to trade off exploration and…

Machine Learning · Computer Science 2020-03-24 Sharan Vaswani , Abbas Mehrabian , Audrey Durand , Branislav Kveton

Combinatorial online learning is a fundamental task for selecting the optimal action (or super arm) as a combination of base arms in sequential interactions with systems providing stochastic rewards. It is applicable to diverse domains such…

Machine Learning · Computer Science 2026-03-04 Seockbean Song , Youngsik Yoon , Siwei Wang , Wei Chen , Jungseul Ok

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

Multi-armed Bandit motivates methods with provable upper bounds on regret and also the counterpart lower bounds have been extensively studied in this context. Recently, Multi-agent Multi-armed Bandit has gained significant traction in…

Machine Learning · Computer Science 2023-08-17 Mengfan Xu , Diego Klabjan

The multi-armed bandit (MAB) problem models a decision-maker that optimizes its actions based on current and acquired new knowledge to maximize its reward. This type of online decision is prominent in many procedures of Brain-Computer…

Artificial Intelligence · Computer Science 2022-11-10 Frida Heskebeck , Carolina Bergeling , Bo Bernhardsson

We present ML-UCB, a generalized upper confidence bound algorithm that integrates arbitrary machine learning models into multi-armed bandit frameworks. A fundamental challenge in deploying sophisticated ML models for sequential…

Machine Learning · Computer Science 2026-01-07 Yajing Liu , Erkao Bao , Linqi Song

We study the multi-armed bandit (MAB) problem with composite and anonymous feedback. In this model, the reward of pulling an arm spreads over a period of time (we call this period as reward interval) and the player receives partial rewards…

Machine Learning · Computer Science 2020-12-16 Siwei Wang , Haoyun Wang , Longbo Huang