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We consider a novel multi-armed bandit framework where the rewards obtained by pulling the arms are functions of a common latent random variable. The correlation between arms due to the common random source can be used to design a…

机器学习 · 统计学 2019-01-31 Samarth Gupta , Gauri Joshi , Osman Yağan

In a multi-armed bandit (MAB) problem, an online algorithm makes a sequence of choices. In each round it chooses from a time-invariant set of alternatives and receives the payoff associated with this alternative. While the case of small…

数据结构与算法 · 计算机科学 2014-05-21 Aleksandrs Slivkins

We consider a variant of the classic multi-armed bandit problem where the expected reward of each arm is a function of an unknown parameter. The arms are divided into different groups, each of which has a common parameter. Therefore, when…

机器学习 · 计算机科学 2018-02-23 Zhiyang Wang , Ruida Zhou , Cong Shen

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

The cooperative bandit problem is a multi-agent decision problem involving a group of agents that interact simultaneously with a multi-armed bandit, while communicating over a network with delays. The central idea in this problem is to…

机器学习 · 统计学 2022-05-31 Abhimanyu Dubey , Alex Pentland

We introduce the factored bandits model, which is a framework for learning with limited (bandit) feedback, where actions can be decomposed into a Cartesian product of atomic actions. Factored bandits incorporate rank-1 bandits as a special…

机器学习 · 计算机科学 2018-10-30 Julian Zimmert , Yevgeny Seldin

Multi-Armed-Bandit frameworks have often been used by researchers to assess educational interventions, however, recent work has shown that it is more beneficial for a student to provide qualitative feedback through preference elicitation…

机器学习 · 计算机科学 2021-11-02 Nayan Saxena , Pan Chen , Emmy Liu

In this paper we adapt the nearest neighbour rule to the contextual bandit problem. Our algorithm handles the fully adversarial setting in which no assumptions at all are made about the data-generation process. When combined with a…

机器学习 · 计算机科学 2024-03-11 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis

We present a two-armed bandit model of decision making under uncertainty where the expected return to investing in the "risky arm" increases when choosing that arm and decreases when choosing the "safe" arm. These dynamics are natural in…

最优化与控制 · 数学 2017-03-22 Roland Fryer , Philipp Harms

In the infinite-armed bandit problem, each arm's average reward is sampled from an unknown distribution, and each arm can be sampled further to obtain noisy estimates of the average reward of that arm. Prior work focuses on identifying the…

机器学习 · 计算机科学 2022-11-04 Yifei Wang , Tavor Baharav , Yanjun Han , Jiantao Jiao , David Tse

We formulate and study a novel multi-armed bandit problem called the qualitative dueling bandit (QDB) problem, where an agent observes not numeric but qualitative feedback by pulling each arm. We employ the same regret as the dueling bandit…

机器学习 · 统计学 2018-09-19 Liyuan Xu , Junya Honda , Masashi Sugiyama

We study the problem of best arm identification in linearly parameterised multi-armed bandits. Given a set of feature vectors $\mathcal{X}\subset\mathbb{R}^d,$ a confidence parameter $\delta$ and an unknown vector $\theta^*,$ the goal is to…

机器学习 · 计算机科学 2020-06-16 Mohammadi Zaki , Avi Mohan , Aditya Gopalan

Multi-armed bandits are one of the theoretical pillars of reinforcement learning. Recently, the investigation of quantum algorithms for multi-armed bandit problems was started, and it was found that a quadratic speed-up (in query…

量子物理 · 物理学 2025-03-26 Simon Buchholz , Jonas M. Kübler , Bernhard Schölkopf

In many online decision processes, the optimizing agent is called to choose between large numbers of alternatives with many inherent similarities; in turn, these similarities imply closely correlated losses that may confound standard…

机器学习 · 计算机科学 2022-06-22 Matthieu Martin , Panayotis Mertikopoulos , Thibaud Rahier , Houssam Zenati

We consider the stochastic linear (multi-armed) contextual bandit problem with the possibility of hidden simple multi-armed bandit structure in which the rewards are independent of the contextual information. Algorithms that are designed…

机器学习 · 统计学 2020-10-07 Niladri S. Chatterji , Vidya Muthukumar , Peter L. Bartlett

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

In this work, we address the open problem of finding low-complexity near-optimal multi-armed bandit algorithms for sequential decision making problems. Existing bandit algorithms are either sub-optimal and computationally simple (e.g.,…

机器学习 · 计算机科学 2018-04-18 Fang Liu , Sinong Wang , Swapna Buccapatnam , Ness Shroff

The problem of rested and restless multi-armed bandits with constrained availability of arms is considered. The states of arms evolve in Markovian manner and the exact states are hidden from the decision maker. First, some structural…

系统与控制 · 计算机科学 2017-10-20 Varun Mehta , Rahul Meshram , Kesav Kaza , S. N. Merchant

We study a variant of the classical multi-armed bandit problem (MABP) which we call as Multi-Armed Bandits with dependent arms. More specifically, multiple arms are grouped together to form a cluster, and the reward distributions of arms…

机器学习 · 计算机科学 2020-10-27 Rahul Singh , Fang Liu , Yin Sun , Ness Shroff

We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári