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Many real-world problems like Social Influence Maximization face the dilemma of choosing the best $K$ out of $N$ options at a given time instant. This setup can be modeled as a combinatorial bandit which chooses $K$ out of $N$ arms at each…

机器学习 · 计算机科学 2021-10-12 Mridul Agarwal , Vaneet Aggarwal , Christopher J. Quinn , Abhishek K. Umrawal

Existing risk-aware multi-armed bandit models typically focus on risk measures of individual options such as variance. As a result, they cannot be directly applied to important real-world online decision making problems with correlated…

机器学习 · 计算机科学 2023-05-12 Yihan Du , Siwei Wang , Zhixuan Fang , Longbo Huang

We study a multi-armed bandit problem where the rewards exhibit regime switching. Specifically, the distributions of the random rewards generated from all arms are modulated by a common underlying state modeled as a finite-state Markov…

机器学习 · 计算机科学 2021-02-02 Xiang Zhou , Yi Xiong , Ningyuan Chen , Xuefeng Gao

We study best arm identification in a restless multi-armed bandit setting with finitely many arms. The discrete-time data generated by each arm forms a homogeneous Markov chain taking values in a common, finite state space. The state…

机器学习 · 统计学 2024-06-25 P. N. Karthik , Vincent Y. F. Tan , Arpan Mukherjee , Ali Tajer

In this paper we study a generalized version of classical multi-armed bandits (MABs) problem by allowing for arbitrary constraints on constituent bandits at each decision point. The motivation of this study comes from many situations that…

机器学习 · 计算机科学 2014-10-07 Xiang-yang Li , Shaojie Tang , Yaqin Zhou

We consider a policy gradient algorithm applied to a finite-arm bandit problem with Bernoulli rewards. We allow learning rates to depend on the current state of the algorithm, rather than use a deterministic time-decreasing learning rate.…

机器学习 · 计算机科学 2021-09-24 Denis Denisov , Neil Walton

Combinatorial bandits with semi-bandit feedback generalize multi-armed bandits, where the agent chooses sets of arms and observes a noisy reward for each arm contained in the chosen set. The action set satisfies a given structure such as…

机器学习 · 统计学 2021-01-22 Marc Jourdan , Mojmír Mutný , Johannes Kirschner , Andreas Krause

We introduce a novel framework of combinatorial multi-armed bandits (CMAB) with multivariant and probabilistically triggering arms (CMAB-MT), where the outcome of each arm is a $d$-dimensional multivariant random variable and the feedback…

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e., those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. arm). We study a particular case of the rested…

机器学习 · 计算机科学 2022-12-08 Alberto Maria Metelli , Francesco Trovò , Matteo Pirola , Marcello Restelli

We propose minimum empirical divergence (MED) policy for the multiarmed bandit problem. We prove asymptotic optimality of the proposed policy for the case of finite support models. In our setting, Burnetas and Katehakis has already proposed…

统计理论 · 数学 2011-11-21 Junya Honda , Akimichi Takemura

Coordinating micro-robotic swarms in physiologically realistic, time-dependent fluid environments remains an unsolved challenge for biomedical and environmental applications. We present a hybrid Computational Fluid Dynamics -…

机器人学 · 计算机科学 2026-05-26 Josef Berman , Oren Gal

Motivated by problems in search and detection we present a solution to a Combinatorial Multi-Armed Bandit (CMAB) problem with both heavy-tailed reward distributions and a new class of feedback, filtered semibandit feedback. In a CMAB…

机器学习 · 计算机科学 2017-05-29 James A. Grant , David S. Leslie , Kevin Glazebrook , Roberto Szechtman

Multi-armed bandit (MAB) processes constitute a foundational subclass of reinforcement learning problems and represent a central topic in statistical decision theory, but are limited to simultaneous adaptive allocation and sequential test,…

统计方法学 · 统计学 2026-02-27 Li Yang , Xiaodong Yan , Dandan Jiang

Reinforcement learning involves decision making in dynamic and uncertain environments and constitutes a crucial element of artificial intelligence. In our previous work, we experimentally demonstrated that the ultrafast chaotic oscillatory…

We present an approach to Intelligent Tutoring Systems which adaptively personalizes sequences of learning activities to maximize skills acquired by students, taking into account the limited time and motivational resources. At a given point…

人工智能 · 计算机科学 2019-07-17 Benjamin Clement , Didier Roy , Pierre-Yves Oudeyer , Manuel Lopes

We consider a stochastic bandit problem with countably many arms that belong to a finite set of types, each characterized by a unique mean reward. In addition, there is a fixed distribution over types which sets the proportion of each type…

机器学习 · 计算机科学 2021-05-25 Anand Kalvit , Assaf Zeevi

Many stochastic optimization algorithms work by estimating the gradient of the cost function on the fly by sampling datapoints uniformly at random from a training set. However, the estimator might have a large variance, which inadvertently…

机器学习 · 计算机科学 2017-08-10 Farnood Salehi , L. Elisa Celis , Patrick Thiran

The multi-armed bandit(MAB) problem is a simple yet powerful framework that has been extensively studied in the context of decision-making under uncertainty. In many real-world applications, such as robotic applications, selecting an arm…

机器学习 · 计算机科学 2023-03-21 Tianpeng Zhang , Kasper Johansson , Na Li

The restless multi-armed bandit (RMAB) framework is a popular approach to solving resource allocation problems in networked systems. In this paper, we study optimal resource allocation in RMABs facing unknown and non-stationary dynamics.…

机器学习 · 计算机科学 2026-04-22 Md Kamran Chowdhury Shisher , Vishrant Tripathi , Mung Chiang , Christopher G. Brinton

We present the first high-probability optimal regret bound for a policy optimization technique applied to the problem of stochastic contextual multi-armed bandit (CMAB) with general offline function approximation. Our algorithm is both…

机器学习 · 计算机科学 2026-02-17 Orin Levy , Yishay Mansour