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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

We consider the discrete time infinite horizon average reward restless markovian bandit (RMAB) problem. We propose a \emph{model predictive control} based non-stationary policy with a rolling computational horizon $\tau$. At each time-slot,…

最优化与控制 · 数学 2025-06-06 Nicolas Gast , Dheeraj Narasimha

We consider the problem of learning the optimal threshold policy for control problems. Threshold policies make control decisions by evaluating whether an element of the system state exceeds a certain threshold, whose value is determined by…

机器学习 · 计算机科学 2022-09-30 Khaled Nakhleh , I-Hong Hou

The design of autonomous agents that can interact effectively with other agents without prior coordination is a core problem in multi-agent systems. Type-based reasoning methods achieve this by maintaining a belief over a set of potential…

人工智能 · 计算机科学 2023-06-12 Jonathon Schwartz , Hanna Kurniawati , Marcus Hutter

We consider a replicable stochastic multi-armed bandit algorithm that ensures, with high probability, that the algorithm's sequence of actions is not affected by the randomness inherent in the dataset. Replicability allows third parties to…

机器学习 · 统计学 2025-01-14 Junpei Komiyama , Shinji Ito , Yuichi Yoshida , Souta Koshino

Whittle index policy is a powerful tool to obtain asymptotically optimal solutions for the notoriously intractable problem of restless bandits. However, finding the Whittle indices remains a difficult problem for many practical restless…

机器学习 · 计算机科学 2022-01-21 Khaled Nakhleh , Santosh Ganji , Ping-Chun Hsieh , I-Hong Hou , Srinivas Shakkottai

We study the online restless bandit problem, where the state of each arm evolves according to a Markov chain, and the reward of pulling an arm depends on both the pulled arm and the current state of the corresponding Markov chain. In this…

机器学习 · 计算机科学 2020-11-09 Siwei Wang , Longbo Huang , John C. S. Lui

This paper examines multi-armed bandits in which actions are taken at random discrete times. The model consists of $J$ independent arms. When an arm is operated, it must remain active for a random duration, modeled by the inter-arrival time…

最优化与控制 · 数学 2026-03-05 Kei Noba , José Luis Pérez , Kazutoshi Yamazaki , Qingyuan Zhang

Motivated by applications such as machine repair, project monitoring, and anti-poaching patrol scheduling, we study intervention planning of stochastic processes under resource constraints. This planning problem has previously been modeled…

人工智能 · 计算机科学 2026-02-26 Arpita Biswas , Jackson A. Killian , Paula Rodriguez Diaz , Susobhan Ghosh , Milind Tambe

Traditional online learning models are typically initialized from scratch. By contrast, contemporary real-world applications often have access to historical datasets that can potentially enhanced the online learning processes. We study how…

机器学习 · 计算机科学 2025-12-19 Wang Chi Cheung , Lixing Lyu

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

机器学习 · 计算机科学 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian

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 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

Contextual bandits constitute a classical framework for decision-making under uncertainty. In this setting, the goal is to learn the arms of highest reward subject to contextual information, while the unknown reward parameters of each arm…

机器学习 · 统计学 2024-02-19 Hongju Park , Mohamad Kazem Shirani Faradonbeh

Sequentially learning to place items in multi-position displays or lists is a task that can be cast into the multiple-play semi-bandit setting. However, a major concern in this context is when the system cannot decide whether the user…

机器学习 · 计算机科学 2016-06-09 Paul Lagrée , Claire Vernade , Olivier Cappé

Several researchers have recently investigated the connection between reinforcement learning and classification. We are motivated by proposals of approximate policy iteration schemes without value functions which focus on policy…

机器学习 · 计算机科学 2008-07-06 Christos Dimitrakakis , Michail G. Lagoudakis

Restless multi-armed bandits (RMAB) play a central role in modeling sequential decision making problems under an instantaneous activation constraint that at most B arms can be activated at any decision epoch. Each restless arm is endowed…

机器学习 · 计算机科学 2024-05-03 Guojun Xiong , Jian Li

Policy learning using historical observational data is an important problem that has found widespread applications. Examples include selecting offers, prices, advertisements to send to customers, as well as selecting which medication to…

机器学习 · 计算机科学 2023-09-13 Nian Si , Fan Zhang , Zhengyuan Zhou , Jose Blanchet

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

系统与控制 · 计算机科学 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala

We consider decentralized restless multi-armed bandit problems with unknown dynamics and multiple players. The reward state of each arm transits according to an unknown Markovian rule when it is played and evolves according to an arbitrary…

最优化与控制 · 数学 2011-02-16 Haoyang Liu , Keqin Liu , Qing Zhao