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The piecewise-stationary bandit problem is an important variant of the multi-armed bandit problem that further considers abrupt changes in the reward distributions. The main theme of the problem is the trade-off between exploration for…

Machine Learning · Computer Science 2024-10-10 Kuan-Ta Li , Ping-Chun Hsieh , Yu-Chih Huang

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…

Machine Learning · Computer Science 2023-03-21 Tianpeng Zhang , Kasper Johansson , Na Li

In this paper, we propose a new multi-objective contextual multi-armed bandit (MAB) problem with two objectives, where one of the objectives dominates the other objective. Unlike single-objective MAB problems in which the learner obtains a…

Machine Learning · Computer Science 2018-06-04 Cem Tekin , Eralp Turgay

The bandit paradigm provides a unified modeling framework for problems that require decision-making under uncertainty. Because many business metrics can be viewed as rewards (a.k.a. utilities) that result from actions, bandit algorithms…

Machine Learning · Computer Science 2023-02-03 Bram van den Akker , Olivier Jeunen , Ying Li , Ben London , Zahra Nazari , Devesh Parekh

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several sources (arms) of items (rewards), and interested in finding the best item overall. At each time step the agent chooses an arm, and obtains a random…

Machine Learning · Statistics 2015-08-25 Yahel David , Nahum Shimkin

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…

Machine Learning · Statistics 2020-04-21 Hamsa Bastani , Mohsen Bayati , Khashayar Khosravi

We consider a rate-constrained contextual multi-armed bandit (RC-CMAB) problem, in which a group of agents are solving the same contextual multi-armed bandit (CMAB) problem. However, the contexts are observed by a remotely connected entity,…

Machine Learning · Computer Science 2022-04-28 Francesco Pase , Deniz Gündüz , Michele Zorzi

We consider the two-armed bandit problem as applied to data processing if there are two alternative processing methods available with different a priori unknown efficiencies. One should determine the most effective method and provide its…

Statistics Theory · Mathematics 2017-04-13 Alexander V. Kolnogorov

Consider a bandit algorithm that recommends actions to self-interested users in a recommendation system. The users are free to choose other actions and need to be incentivized to follow the algorithm's recommendations. While the users…

Machine Learning · Computer Science 2022-06-02 Xinyan Hu , Dung Daniel Ngo , Aleksandrs Slivkins , Zhiwei Steven Wu

A wireless system with multiple channels is considered, where each channel has several transmission states. A user learns about the instantaneous state of an available channel by transmitting a control packet in it. Since probing all…

Data Structures and Algorithms · Computer Science 2008-04-11 Sudipto Guha , Kamesh Munagala , Saswati Sarkar

Entropy maximization and free energy minimization are general physical principles for modeling the dynamics of various physical systems. Notable examples include modeling decision-making within the brain using the free-energy principle,…

We consider an opportunistic spectrum access (OSA) problem where the time-varying condition of each channel (e.g., as a result of random fading or certain primary users' activities) is modeled as an arbitrary finite-state Markov chain. At…

Optimization and Control · Mathematics 2010-10-04 Cem Tekin , Mingyan Liu

Single-player contextual bandits are a well-studied problem in reinforcement learning that has seen applications in various fields such as advertising, healthcare, and finance. In light of the recent work on \emph{information asymmetric}…

Machine Learning · Computer Science 2025-03-13 William Chang , Yuanhao Lu

Sequential decision making under uncertainty is studied in a mixed observability domain. The goal is to maximize the amount of information obtained on a partially observable stochastic process under constraints imposed by a fully observable…

Artificial Intelligence · Computer Science 2016-03-16 Mikko Lauri , Risto Ritala

Stochastic multi-armed bandits are a sequential-decision-making framework, where, at each interaction step, the learner selects an arm and observes a stochastic reward. Within the context of best-arm identification (BAI) problems, the goal…

Machine Learning · Computer Science 2024-01-15 Riccardo Poiani , Alberto Maria Metelli , Marcello Restelli

In this paper, we investigate cost-aware joint learning and optimization for multi-channel opportunistic spectrum access in a cognitive radio system. We investigate a discrete time model where the time axis is partitioned into frames. Each…

Networking and Internet Architecture · Computer Science 2018-04-12 Chao Gan , Ruida Zhou , Jing Yang , Cong Shen

We consider the problem of personalised news recommendation where each user consumes news in a sequential fashion. Existing personalised news recommendation methods focus on exploiting user interests and ignores exploration in…

Information Retrieval · Computer Science 2022-06-30 Mengyan Zhang , Thanh Nguyen-Tang , Fangzhao Wu , Zhenyu He , Xing Xie , Cheng Soon Ong

This article investigates the problem of dynamic spectrum access for canonical wireless networks, in which the channel states are time-varying. In the most existing work, the commonly used optimization objective is to maximize the…

Information Theory · Computer Science 2017-07-31 Yuhua Xu , Jinlong Wang , Qihui Wu , Jianchao Zheng , Liang Shen , Alagan Anpalagan

Over the last two decades, we have seen extensive industrial research in the area of computational advertising. In this paper, our goal is to study the performance of various online learning algorithms to identify and display the best…

Information Retrieval · Computer Science 2020-11-24 Kazem Jahanbakhsh

In this paper, we consider the channel allocation problem for throughput maximization in cognitive radio networks with hardware-constrained secondary users. Specifically, we assume that secondary users exploit spectrum holes on a set of…

Networking and Internet Architecture · Computer Science 2014-04-09 Le Thanh Tan , Long Bao Le