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Many studies have shown that humans are "predictably irrational": they do not act in a fully rational way, but their deviations from rational behavior are quite systematic. Our goal is to see the extent to which we can explain and justify…

计算机科学与博弈论 · 计算机科学 2023-07-27 Xinming Liu , Joseph Y. Halpern

The multi-armed bandit (MAB) model is one of the most classical models to study decision-making in an uncertain environment. In this model, a player chooses one of $K$ possible arms of a bandit machine to play at each time step, where the…

机器学习 · 计算机科学 2023-06-13 Bo Li , Chi Ho Yeung

Multi-armed bandits (MAB) model sequential decision making problems, in which a learner sequentially chooses arms with unknown reward distributions in order to maximize its cumulative reward. Most of the prior work on MAB assumes that the…

机器学习 · 计算机科学 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

Personalized recommender systems suffuse modern life, shaping what media we read and what products we consume. Algorithms powering such systems tend to consist of supervised learning-based heuristics, such as latent factor models with a…

信息检索 · 计算机科学 2023-04-19 Liu Leqi , Giulio Zhou , Fatma Kılınç-Karzan , Zachary C. Lipton , Alan L. Montgomery

The Multi-Armed Bandits (MAB) framework highlights the tension between acquiring new knowledge (Exploration) and leveraging available knowledge (Exploitation). In the classical MAB problem, a decision maker must choose an arm at each time…

机器学习 · 统计学 2017-11-03 Nir Levine , Koby Crammer , Shie Mannor

Artificial behavioral agents are often evaluated based on their consistent behaviors and performance to take sequential actions in an environment to maximize some notion of cumulative reward. However, human decision making in real life…

人工智能 · 计算机科学 2021-12-28 Baihan Lin , Guillermo Cecchi , Djallel Bouneffouf , Jenna Reinen , Irina Rish

In this paper, we consider a new Multi-Armed Bandit (MAB) problem where arms are nodes in an unknown and possibly changing graph, and the agent (i) initiates random walks over the graph by pulling arms, (ii) observes the random walk…

机器学习 · 计算机科学 2022-06-28 Tianyu Wang , Lin F. Yang , Zizhuo Wang

In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activate $K \geq 1$ arms at each time in order…

最优化与控制 · 数学 2011-12-25 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari , Qing Zhao

Motivated by a number of real-world applications from domains like healthcare and sustainable transportation, in this paper we study a scenario of repeated principal-agent games within a multi-armed bandit (MAB) framework, where: the…

机器学习 · 计算机科学 2023-05-09 Ilgin Dogan , Zuo-Jun Max Shen , Anil Aswani

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…

人工智能 · 计算机科学 2022-11-10 Frida Heskebeck , Carolina Bergeling , Bo Bernhardsson

In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activate $K \geq 1$ arms at each time in order…

最优化与控制 · 数学 2010-11-23 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari , Qing Zhao

We analytically derive a class of optimal solutions to a linear program (LP) for automated mechanism design that satisfies efficiency, incentive compatibility, strong budget balance (SBB), and individual rationality (IR), where SBB and IR…

计算机科学与博弈论 · 计算机科学 2025-05-20 Takayuki Osogami , Hirota Kinoshita , Segev Wasserkrug

The multi-armed bandit(MAB) problem is a simple yet powerful framework that has been extensively studied in the context of decision-making under uncertainty. In many real-world applications, such as robotic applications, selecting an arm…

机器学习 · 计算机科学 2023-03-21 Tianpeng Zhang , Kasper Johansson , Na Li

In a multi-armed bandit (MAB) problem a gambler needs to choose at each round of play one of K arms, each characterized by an unknown reward distribution. Reward realizations are only observed when an arm is selected, and the gambler's…

机器学习 · 计算机科学 2019-06-11 Omar Besbes , Yonatan Gur , Assaf Zeevi

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…

机器学习 · 统计学 2021-10-27 Asaf Cassel , Shie Mannor , Assaf Zeevi

In the multiarmed bandit problem a gambler chooses an arm of a slot machine to pull considering a tradeoff between exploration and exploitation. We study the stochastic bandit problem where each arm has a reward distribution supported in a…

统计理论 · 数学 2013-03-29 Junya Honda , Akimichi Takemura

Traditional multi-armed bandit (MAB) formulations usually make certain assumptions about the underlying arms' distributions, such as bounds on the support or their tail behaviour. Moreover, such parametric information is usually 'baked'…

机器学习 · 计算机科学 2022-03-29 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

Multi-player Multi-Armed Bandits (MAB) have been extensively studied in the literature, motivated by applications to Cognitive Radio systems. Driven by such applications as well, we motivate the introduction of several levels of feedback…

机器学习 · 统计学 2019-04-30 Lilian Besson , Emilie Kaufmann

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…

机器学习 · 计算机科学 2026-01-28 Tianyi Xu , Jiaxin Liu , Nicholas Mattei , Zizhan Zheng

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied
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