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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

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

机器学习 · 计算机科学 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

A multi-user multi-armed bandit (MAB) framework is used to develop algorithms for uncoordinated spectrum access. The number of users is assumed to be unknown to each user. A stochastic setting is first considered, where the rewards on a…

机器学习 · 计算机科学 2019-01-31 Meghana Bande , Venugopal V. Veeravalli

We study the linear contextual bandit problem in the presence of adversarial corruption, where the interaction between the player and a possibly infinite decision set is contaminated by an adversary that can corrupt the reward up to a…

机器学习 · 计算机科学 2021-10-26 Heyang Zhao , Dongruo Zhou , Quanquan Gu

The problem of identifying the best answer among a collection of items having real-valued distribution is well-understood. Despite its practical relevance for many applications, fewer works have studied its extension when multiple and…

机器学习 · 统计学 2024-11-08 Cyrille Kone , Marc Jourdan , Emilie Kaufmann

We generalize the multiple-play multi-armed bandits (MP-MAB) problem with a shareable arm setting, in which several plays can share the same arm. Furthermore, each shareable arm has a finite reward capacity and a ''per-load'' reward…

机器学习 · 计算机科学 2022-06-20 Xuchuang Wang , Hong Xie , John C. S. Lui

In this paper, we consider a novel variant of the multi-armed bandit (MAB) problem, MAB with cost subsidy, which models many real-life applications where the learning agent has to pay to select an arm and is concerned about optimizing…

机器学习 · 计算机科学 2021-03-16 Deeksha Sinha , Karthik Abinav Sankararama , Abbas Kazerouni , Vashist Avadhanula

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

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

The classic multi-armed bandit (MAB) problem tackles the challenge of accruing maximum reward while making decisions under uncertainty. However, in applications, often the goal is to minimize cost subject to a constraint on the minimum…

机器学习 · 计算机科学 2026-05-11 Ishank Juneja , Carlee Joe-Wong , Osman Yağan

We study distributed cooperative decision-making under the explore-exploit tradeoff in the multiarmed bandit (MAB) problem. We extend the state-of-the-art frequentist and Bayesian algorithms for single-agent MAB problems to cooperative…

系统与控制 · 计算机科学 2019-09-18 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

By exploiting ultrafast and irregular time series generated by lasers with delayed feedback, we have previously demonstrated a scalable algorithm to solve multi-armed bandit (MAB) problems utilizing the time-division multiplexing of laser…

信号处理 · 电气工程与系统科学 2020-05-28 Naoki Narisawa , Nicolas Chauvet , Mikio Hasegawa , Makoto Naruse

We study the problem of contextual combinatorial semi-bandits, where input contexts are mapped into subsets of size $m$ of a collection of $K$ possible actions. In each round, the learner observes the realized reward of the predicted…

机器学习 · 计算机科学 2026-02-24 Liad Erez , Tomer Koren

In this paper, we study the stochastic linear bandit problem under the additional requirements of differential privacy, robustness and batched observations. In particular, we assume an adversary randomly chooses a constant fraction of the…

机器学习 · 计算机科学 2023-04-25 Vasileios Charisopoulos , Hossein Esfandiari , Vahab Mirrokni

In recent years, multi-player multi-armed bandits (MP-MAB) have been extensively studied due to their wide applications in cognitive radio networks and Internet of Things systems. While most existing research on MP-MAB focuses on…

机器学习 · 计算机科学 2025-10-01 Jingqi Fan , Canzhe Zhao , Shuai Li , Siwei Wang

We study multi-objective multi-agent multi-armed bandits (MO-MA-MAB) under stochastic rewards, where agents observe heterogeneous reward vectors and communicate over time-varying graphs. We formulate this emerging problem setting to address…

机器学习 · 计算机科学 2026-05-11 John Wang , Mengfan Xu

We consider Pareto front identification (PFI) for linear bandits (PFILin), i.e., the goal is to identify a set of arms with undominated mean reward vectors when the mean reward vector is a linear function of the context. PFILin includes the…

机器学习 · 统计学 2024-05-24 Wonyoung Kim , Garud Iyengar , Assaf Zeevi

We study the problem of multi-agent multi-armed bandits with adversarial corruption in a heterogeneous setting, where each agent accesses a subset of arms. The adversary can corrupt the reward observations for all agents. Agents share these…

机器学习 · 计算机科学 2024-11-14 Fatemeh Ghaffari , Xuchuang Wang , Jinhang Zuo , Mohammad Hajiesmaili

Elimination algorithms for bandit identification, which prune the plausible correct answers sequentially until only one remains, are computationally convenient since they reduce the problem size over time. However, existing elimination…

机器学习 · 计算机科学 2022-10-25 Andrea Tirinzoni , Rémy Degenne

We study Pareto optimality in multi-objective multi-armed bandit by providing a formulation of adversarial multi-objective multi-armed bandit and defining its Pareto regrets that can be applied to both stochastic and adversarial settings.…

机器学习 · 计算机科学 2023-06-01 Mengfan Xu , Diego Klabjan