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Recent works have shown that agents facing independent instances of a stochastic $K$-armed bandit can collaborate to decrease regret. However, these works assume that each agent always recommends their individual best-arm estimates to other…

机器学习 · 计算机科学 2022-03-02 Daniel Vial , Sanjay Shakkottai , R. Srikant

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…

机器学习 · 计算机科学 2023-08-17 Mengfan Xu , Diego Klabjan

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…

The multi-armed bandit(MAB) is a classical sequential decision problem. Most work requires assumptions about the reward distribution (e.g., bounded), while practitioners may have difficulty obtaining information about these distributions to…

机器学习 · 计算机科学 2023-12-14 Han Qi , Fei Guo , Li Zhu

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

机器学习 · 计算机科学 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida

Contextual bandit algorithms have become widely used for recommendation in online systems (e.g. marketplaces, music streaming, news), where they now wield substantial influence on which items get exposed to the users. This raises questions…

机器学习 · 计算机科学 2021-09-14 Lequn Wang , Yiwei Bai , Wen Sun , Thorsten Joachims

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,…

机器学习 · 计算机科学 2021-11-12 Osama A. Hanna , Lin F. Yang , Christina Fragouli

This paper considers the multi-armed bandit (MAB) problem and provides a new best-of-both-worlds (BOBW) algorithm that works nearly optimally in both stochastic and adversarial settings. In stochastic settings, some existing BOBW algorithms…

机器学习 · 计算机科学 2022-06-15 Shinji Ito , Taira Tsuchiya , Junya Honda

While significant progress has been made in designing algorithms that minimize regret in online decision-making, real-world scenarios often introduce additional complexities, perhaps the most challenging of which is missing outcomes.…

机器学习 · 统计学 2024-11-11 Ilia Mahrooghi , Mahshad Moradi , Sina Akbari , Negar Kiyavash

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…

机器学习 · 计算机科学 2026-02-04 Idan Barnea , Tal Lancewicki , Yishay Mansour

We propose and study the known-compensation multi-arm bandit (KCMAB) problem, where a system controller offers a set of arms to many short-term players for $T$ steps. In each step, one short-term player arrives to the system. Upon arrival,…

机器学习 · 计算机科学 2018-11-06 Siwei Wang , Longbo Huang

We consider a variant of the multi-armed bandit model, which we call multi-armed bandit problem with known trend, where the gambler knows the shape of the reward function of each arm but not its distribution. This new problem is motivated…

机器学习 · 计算机科学 2017-05-15 Djallel Bouneffouf , Raphaël Feraud

In this paper, we investigate the impact of diverse user preference on learning under the stochastic multi-armed bandit (MAB) framework. We aim to show that when the user preferences are sufficiently diverse and each arm can be optimal for…

机器学习 · 计算机科学 2022-11-11 Chao Gan , Jing Yang , Ruida Zhou , Cong Shen

We study a variant of the classical stochastic $K$-armed bandit where observing the outcome of each arm is expensive, but cheap approximations to this outcome are available. For example, in online advertising the performance of an ad can be…

机器学习 · 计算机科学 2016-11-01 Kirthevasan Kandasamy , Gautam Dasarathy , Jeff Schneider , Barnabás Póczos

We study a strategic variant of the multi-armed bandit problem, which we coin the strategic click-bandit. This model is motivated by applications in online recommendation where the choice of recommended items depends on both the…

机器学习 · 计算机科学 2023-11-28 Thomas Kleine Buening , Aadirupa Saha , Christos Dimitrakakis , Haifeng Xu

We consider stochastic multi-armed bandit problems where the expected reward is a Lipschitz function of the arm, and where the set of arms is either discrete or continuous. For discrete Lipschitz bandits, we derive asymptotic problem…

机器学习 · 计算机科学 2014-05-20 Stefan Magureanu , Richard Combes , Alexandre Proutiere

We give an $(\varepsilon,\delta)$-differentially private algorithm for the multi-armed bandit (MAB) problem in the shuffle model with a distribution-dependent regret of $O\left(\left(\sum_{a\in [k]:\Delta_a>0}\frac{\log…

机器学习 · 计算机科学 2021-10-29 Jay Tenenbaum , Haim Kaplan , Yishay Mansour , Uri Stemmer

We propose algorithms based on a multi-level Thompson sampling scheme, for the stochastic multi-armed bandit and its contextual variant with linear expected rewards, in the setting where arms are clustered. We show, both theoretically and…

机器学习 · 计算机科学 2022-06-16 Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

In this paper, we propose a constant word (RAM model) algorithm for regret minimisation for both finite and infinite Stochastic Multi-Armed Bandit (MAB) instances. Most of the existing regret minimisation algorithms need to remember the…

机器学习 · 计算机科学 2019-01-25 Arghya Roy Chaudhuri , Shivaram Kalyanakrishnan

We study a structured multi-agent multi-armed bandit (MAMAB) problem in a dynamic environment. A graph reflects the information-sharing structure among agents, and the arms' reward distributions are piecewise-stationary with several unknown…

机器学习 · 计算机科学 2023-06-12 Xiaotong Cheng , Setareh Maghsudi