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We propose a bandit algorithm that explores by randomizing its history of rewards. Specifically, it pulls the arm with the highest mean reward in a non-parametric bootstrap sample of its history with pseudo rewards. We design the pseudo…

机器学习 · 计算机科学 2019-06-24 Branislav Kveton , Csaba Szepesvari , Sharan Vaswani , Zheng Wen , Mohammad Ghavamzadeh , Tor Lattimore

We propose an online algorithm for cumulative regret minimization in a stochastic multi-armed bandit. The algorithm adds $O(t)$ i.i.d. pseudo-rewards to its history in round $t$ and then pulls the arm with the highest average reward in its…

机器学习 · 计算机科学 2019-11-06 Branislav Kveton , Csaba Szepesvari , Mohammad Ghavamzadeh , Craig Boutilier

The problem of opportunistic spectrum access in cognitive radio networks has been recently formulated as a non-Bayesian restless multi-armed bandit problem. In this problem, there are N arms (corresponding to channels) and one player…

机器学习 · 计算机科学 2011-11-10 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari

We study the problem of corralling stochastic bandit algorithms, that is combining multiple bandit algorithms designed for a stochastic environment, with the goal of devising a corralling algorithm that performs almost as well as the best…

机器学习 · 计算机科学 2021-03-02 Raman Arora , Teodor V. Marinov , Mehryar Mohri

We consider a bandit problem where the buget is smaller than the number of arms, which may be infinite. In this regime, the usual objective in the literature is to minimize simple regret. To analyze broad classes of distributions with…

统计理论 · 数学 2025-11-04 Emmanuel Pilliat

We study the combinatorial semi-bandit problem where an agent selects a subset of base arms and receives individual feedback. While this generalizes the classical multi-armed bandit and has broad applicability, its scalability is limited by…

机器学习 · 统计学 2025-10-27 Jung-hun Kim , Milan Vojnović , Min-hwan Oh

We consider Bayesian optimization using Gaussian Process models, also referred to as kernel-based bandit optimization. We study the methodology of exploring the domain using random samples drawn from a distribution. We show that this random…

机器学习 · 计算机科学 2024-02-05 Sudeep Salgia , Sattar Vakili , Qing Zhao

We consider a budget-constrained bandit problem where each arm pull incurs a random cost, and yields a random reward in return. The objective is to maximize the total expected reward under a budget constraint on the total cost. The model is…

机器学习 · 计算机科学 2020-03-03 Semih Cayci , Atilla Eryilmaz , R. Srikant

We propose feature perturbation, a simple yet effective exploration strategy for contextual bandits that injects randomness directly into feature inputs, instead of randomizing unknown parameters or adding noise to rewards. Remarkably, this…

机器学习 · 计算机科学 2025-10-27 Seouh-won Yi , Min-hwan Oh

The contextual bandit literature has traditionally focused on algorithms that address the exploration-exploitation tradeoff. In particular, greedy algorithms that exploit current estimates without any exploration may be sub-optimal in…

机器学习 · 统计学 2020-04-21 Hamsa Bastani , Mohsen Bayati , Khashayar Khosravi

We consider a combinatorial multi-armed bandit problem for maximum value reward function under maximum value and index feedback. This is a new feedback structure that lies in between commonly studied semi-bandit and full-bandit feedback…

机器学习 · 计算机科学 2023-05-26 Yiliu Wang , Wei Chen , Milan Vojnović

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

We propose the first fully-adaptive algorithm for pure exploration in linear bandits---the task to find the arm with the largest expected reward, which depends on an unknown parameter linearly. While existing methods partially or entirely…

机器学习 · 统计学 2017-10-17 Liyuan Xu , Junya Honda , Masashi Sugiyama

We consider a multi-armed bandit problem where the decision maker can explore and exploit different arms at every round. The exploited arm adds to the decision maker's cumulative reward (without necessarily observing the reward) while the…

机器学习 · 计算机科学 2012-07-03 Orly Avner , Shie Mannor , Ohad Shamir

This paper introduces a general multi-agent bandit model in which each agent is facing a finite set of arms and may communicate with other agents through a central controller in order to identify, in pure exploration, or play, in regret…

机器学习 · 计算机科学 2022-10-31 Clémence Réda , Sattar Vakili , Emilie Kaufmann

We study the challenging exploration incentive problem in both bandit and reinforcement learning, where the rewards are scale-free and potentially unbounded, driven by real-world scenarios and differing from existing work. Past works in…

机器学习 · 计算机科学 2024-05-07 Mengfan Xu , Diego Klabjan

We propose a new online algorithm for cumulative regret minimization in a stochastic linear bandit. The algorithm pulls the arm with the highest estimated reward in a linear model trained on its perturbed history. Therefore, we call it…

机器学习 · 计算机科学 2023-07-12 Branislav Kveton , Csaba Szepesvari , Mohammad Ghavamzadeh , Craig Boutilier

In sequential decision-making scenarios i.e., mobile health recommendation systems revenue management contextual multi-armed bandit algorithms have garnered attention for their performance. But most of the existing algorithms are built on…

机器学习 · 计算机科学 2023-01-24 Mubarrat Chowdhury , Elkhan Ismayilzada , Khalequzzaman Sayem , Gi-Soo Kim

We study finite-armed stochastic bandits where the rewards of each arm might be correlated to those of other arms. We introduce a novel phased algorithm that exploits the given structure to build confidence sets over the parameters of the…

机器学习 · 计算机科学 2020-05-26 Andrea Tirinzoni , Alessandro Lazaric , Marcello Restelli

We consider the problem of combining and learning over a set of adversarial bandit algorithms with the goal of adaptively tracking the best one on the fly. The CORRAL algorithm of Agarwal et al. (2017) and its variants (Foster et al.,…

机器学习 · 计算机科学 2022-02-15 Haipeng Luo , Mengxiao Zhang , Peng Zhao , Zhi-Hua Zhou
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