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This paper explores multi-armed bandit (MAB) strategies in very short horizon scenarios, i.e., when the bandit strategy is only allowed very few interactions with the environment. This is an understudied setting in the MAB literature with…

机器学习 · 计算机科学 2021-02-11 Robert C. Gray , Jichen Zhu , Santiago Ontañón

Universal compression can learn the source and adapt to it either in a batch mode (forward adaptation), or in a sequential mode (backward adaptation). We recast the sequential mode as a multi-armed bandit problem, a fundamental model in…

信息论 · 计算机科学 2025-06-26 Nir Weinberger , Ram Zamir

In many sequential decision-making problems, the individuals are split into several batches and the decision-maker is only allowed to change her policy at the end of batches. These batch problems have a large number of applications, ranging…

机器学习 · 计算机科学 2021-02-26 Quanquan Gu , Amin Karbasi , Khashayar Khosravi , Vahab Mirrokni , Dongruo Zhou

Multi-armed bandit problems are the most basic examples of sequential decision problems with an exploration-exploitation trade-off. This is the balance between staying with the option that gave highest payoffs in the past and exploring new…

机器学习 · 计算机科学 2012-11-06 Sébastien Bubeck , Nicolò Cesa-Bianchi

Reinforcement learning studies how to balance exploration and exploitation in real-world systems, optimizing interactions with the world while simultaneously learning how the world operates. One general class of algorithms for such learning…

机器学习 · 统计学 2018-08-10 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

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…

机器学习 · 统计学 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

Despite the great interest in the bandit problem, designing efficient algorithms for complex models remains challenging, as there is typically no analytical way to quantify uncertainty. In this paper, we propose Multiplier Bootstrap-based…

机器学习 · 计算机科学 2023-02-06 Runzhe Wan , Haoyu Wei , Branislav Kveton , Rui Song

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

We study incentivized exploration for the multi-armed bandit (MAB) problem where the players receive compensation for exploring arms other than the greedy choice and may provide biased feedback on reward. We seek to understand the impact of…

机器学习 · 计算机科学 2019-12-17 Zhiyuan Liu , Huazheng Wang , Fan Shen , Kai Liu , Lijun Chen

We consider a budgeted combinatorial multi-armed bandit setting where, in every round, the algorithm selects a super-arm consisting of one or more arms. The goal is to minimize the total expected regret after all rounds within a limited…

机器学习 · 计算机科学 2022-02-17 Debojit Das , Shweta Jain , Sujit Gujar

Optimal regret bounds for Multi-Armed Bandit problems are now well documented. They can be classified into two categories based on the growth rate with respect to the time horizon $T$: (i) small, distribution-dependent, bounds of order of…

数据结构与算法 · 计算机科学 2017-04-12 Arthur Flajolet , Patrick Jaillet

The multi-armed bandit problem is a core framework for sequential decision-making under uncertainty, but classical algorithms often fail in environments with hidden, time-varying states that confound reward estimation and optimal action…

机器学习 · 计算机科学 2026-02-19 Jikai Jin , Kenneth Hung , Sanath Kumar Krishnamurthy , Baoyi Shi , Congshan Zhang

The multi-armed bandit (MAB) problem is a classical learning task that exemplifies the exploration-exploitation tradeoff. However, standard formulations do not take into account {\em risk}. In online decision making systems, risk is a…

机器学习 · 计算机科学 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

Can one parallelize complex exploration exploitation tradeoffs? As an example, consider the problem of optimal high-throughput experimental design, where we wish to sequentially design batches of experiments in order to simultaneously learn…

机器学习 · 计算机科学 2012-07-03 Thomas Desautels , Andreas Krause , Joel Burdick

We study the explore-exploit tradeoff in distributed cooperative decision-making using the context of the multiarmed bandit (MAB) problem. For the distributed cooperative MAB problem, we design the cooperative UCB algorithm that comprises…

系统与控制 · 计算机科学 2019-09-17 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

We consider contextual bandits with linear constraints (CBwLC), a variant of contextual bandits in which the algorithm consumes multiple resources subject to linear constraints on total consumption. This problem generalizes contextual…

机器学习 · 计算机科学 2024-11-27 Aleksandrs Slivkins , Xingyu Zhou , Karthik Abinav Sankararaman , Dylan J. Foster

In this work, we study clustered contextual bandits where rewards and resource consumption are the outcomes of cluster-specific linear models. The arms are divided in clusters, with the cluster memberships being unknown to an algorithm.…

机器学习 · 计算机科学 2023-08-22 Yichuan Deng , Michalis Mamakos , Zhao Song

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 multi-armed bandit (MAB) model has been widely adopted for studying many practical optimization problems (network resource allocation, ad placement, crowdsourcing, etc.) with unknown parameters. The goal of the player here is to…

机器学习 · 计算机科学 2019-11-21 Fengjiao Li , Jia Liu , Bo Ji