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We propose a generic, Bayesian, information geometric approach to the exploration--exploitation trade-off in multi-armed bandit problems. Our approach, BelMan, uniformly supports pure exploration, exploration--exploitation, and two-phase…

机器学习 · 计算机科学 2019-06-25 Debabrota Basu , Pierre Senellart , Stéphane Bressan

We study the problem of information sharing and cooperation in Multi-Player Multi-Armed bandits. We propose the first algorithm that achieves logarithmic regret for this problem when the collision reward is unknown. Our results are based on…

机器学习 · 计算机科学 2022-10-04 Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

In many biomedical, science, and engineering problems, one must sequentially decide which action to take next so as to maximize rewards. One general class of algorithms for optimizing interactions with the world, while simultaneously…

机器学习 · 统计学 2021-05-05 Iñigo Urteaga , Chris H. Wiggins

We examine a multi-armed bandit problem with contextual information, where the objective is to ensure that each arm receives a minimum aggregated reward across contexts while simultaneously maximizing the total cumulative reward. This…

机器学习 · 计算机科学 2025-10-15 Ahmed Ben Yahmed , Hafedh El Ferchichi , Marc Abeille , Vianney Perchet

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

机器学习 · 计算机科学 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

Many efficient algorithms with strong theoretical guarantees have been proposed for the contextual multi-armed bandit problem. However, applying these algorithms in practice can be difficult because they require domain expertise to build…

机器学习 · 计算机科学 2018-10-23 Adam N. Elmachtoub , Ryan McNellis , Sechan Oh , Marek Petrik

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…

计算机科学与博弈论 · 计算机科学 2019-05-06 Yishay Mansour , Aleksandrs Slivkins , Vasilis Syrgkanis

The explore{exploit dilemma is one of the central challenges in Reinforcement Learning (RL). Bayesian RL solves the dilemma by providing the agent with information in the form of a prior distribution over environments; however, full…

机器学习 · 计算机科学 2012-03-19 Jonathan Sorg , Satinder Singh , Richard L. Lewis

Contextual multi-armed bandit problems arise frequently in important industrial applications. Existing solutions model the context either linearly, which enables uncertainty driven (principled) exploration, or non-linearly, by using…

机器学习 · 计算机科学 2018-07-27 Mark Collier , Hector Urdiales Llorens

Contextual bandit algorithms are sensitive to the estimation method of the outcome model as well as the exploration method used, particularly in the presence of rich heterogeneity or complex outcome models, which can lead to difficult…

机器学习 · 统计学 2018-12-18 Maria Dimakopoulou , Zhengyuan Zhou , Susan Athey , Guido Imbens

We describe MELEE, a meta-learning algorithm for learning a good exploration policy in the interactive contextual bandit setting. Here, an algorithm must take actions based on contexts, and learn based only on a reward signal from the…

机器学习 · 计算机科学 2019-01-25 Amr Sharaf , Hal Daumé

Contextual bandits constitute a classical framework for decision-making under uncertainty. In this setting, the goal is to learn the arms of highest reward subject to contextual information, while the unknown reward parameters of each arm…

机器学习 · 统计学 2024-02-19 Hongju Park , Mohamad Kazem Shirani Faradonbeh

Consider a nonparametric contextual multi-arm bandit problem where each arm $a \in [K]$ is associated to a nonparametric reward function $f_a: [0,1] \to \mathbb{R}$ mapping from contexts to the expected reward. Suppose that there is a large…

机器学习 · 计算机科学 2019-08-06 Nirandika Wanigasekara , Christina Lee Yu

We study the piecewise stationary combinatorial semi-bandit problem with causally related rewards. In our nonstationary environment, variations in the base arms' distributions, causal relationships between rewards, or both, change the…

机器学习 · 计算机科学 2023-07-27 Behzad Nourani-Koliji , Steven Bilaj , Amir Rezaei Balef , Setareh Maghsudi

Most bandit policies are designed to either minimize regret in any problem instance, making very few assumptions about the underlying environment, or in a Bayesian sense, assuming a prior distribution over environment parameters. The former…

机器学习 · 计算机科学 2021-01-07 Branislav Kveton , Martin Mladenov , Chih-Wei Hsu , Manzil Zaheer , Csaba Szepesvari , Craig Boutilier

We study exploration in stochastic multi-armed bandits when we have access to a divisible resource that can be allocated in varying amounts to arm pulls. We focus in particular on the allocation of distributed computing resources, where we…

Stochastic multi-agent multi-armed bandits typically assume that the rewards from each arm follow a fixed distribution, regardless of which agent pulls the arm. However, in many real-world settings, rewards can depend on the sensitivity of…

多智能体系统 · 计算机科学 2024-08-08 Lucia Gordon , Esther Rolf , Milind Tambe

Stochastic Lipschitz bandit algorithms balance exploration and exploitation, and have been used for a variety of important task domains. In this paper, we present a framework for Lipschitz bandit methods that adaptively learns partitions of…

机器学习 · 统计学 2021-01-25 Tianyu Wang , Weicheng Ye , Dawei Geng , Cynthia Rudin

We propose an efficient Context-Aware clustering of Bandits (CAB) algorithm, which can capture collaborative effects. CAB can be easily deployed in a real-world recommendation system, where multi-armed bandits have been shown to perform…

机器学习 · 计算机科学 2017-02-28 Shuai Li , Purushottam Kar

We consider a scenario where an agent has multiple available strategies to explore an unknown environment. For each new interaction with the environment, the agent must select which exploration strategy to use. We provide a new…

机器学习 · 计算机科学 2018-08-24 Fabien C. Y. Benureau , Pierre-Yves Oudeyer