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While in general trading off exploration and exploitation in reinforcement learning is hard, under some formulations relatively simple solutions exist. In this paper, we first derive upper bounds for the utility of selecting different…

Artificial Intelligence · Computer Science 2018-06-06 Christos Dimitrakakis

Games with large branching factors pose a significant challenge for game tree search algorithms. In this paper, we address this problem with a sampling strategy for Monte Carlo Tree Search (MCTS) algorithms called {\em na\"{i}ve sampling},…

Artificial Intelligence · Computer Science 2017-10-16 Santiago Ontañón

We study a Combinatorial Multi-Bandit Problem motivated by applications in energy systems management. Given multiple probabilistic multi-arm bandits with unknown outcome distributions, the task is to optimize the value of a combinatorial…

Machine Learning · Computer Science 2020-11-05 Tobias Jacobs , Mischa Schmidt , Sébastien Nicolas , Anett Schülke

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…

Emerging Technologies · Computer Science 2018-03-28 Makoto Naruse , Takatomo Mihana , Hirokazu Hori , Hayato Saigo , Kazuya Okamura , Mikio Hasegawa , Atsushi Uchida

This paper proposes a new algorithm, referred to as GMAB, that combines concepts from the reinforcement learning domain of multi-armed bandits and random search strategies from the domain of genetic algorithms to solve discrete stochastic…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Deniz Preil , Michael Krapp

In this paper, we study censored Semi-Bandits, a novel variant of the semi-bandits problem. The learner is assumed to have a fixed amount of resources, which it allocates to the arms at each time step. The loss observed from an arm is…

Machine Learning · Computer Science 2020-03-26 Arun Verma , Manjesh K. Hanawal , Arun Rajkumar , Raman Sankaran

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…

Machine Learning · Computer Science 2020-10-27 Rahul Singh , Fang Liu , Yin Sun , Ness Shroff

This paper aims to put forward the concept that learning to take safe actions in unknown environments, even with probability one guarantees, can be achieved without the need for an unbounded number of exploratory trials, provided that one…

Machine Learning · Computer Science 2021-04-01 Agustin Castellano , Juan Bazerque , Enrique Mallada

The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

Optimization and Control · Mathematics 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum

Understanding, predicting, and learning from other people's actions are fundamental human social-cognitive skills. Little is known about how and when we consider other's actions and outcomes when making our own decisions. We developed a…

Neurons and Cognition · Quantitative Biology 2019-05-21 Julia Anna Adrian , Siddharth Siddharth , Syed Zain Ali Baquar , Tzyy-Ping Jung , Gedeon Deák

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…

Machine Learning · Computer Science 2023-02-06 Runzhe Wan , Haoyu Wei , Branislav Kveton , Rui Song

Contextual bandits are a form of multi-armed bandit in which the agent has access to predictive side information (known as the context) for each arm at each time step, and have been used to model personalized news recommendation, ad…

Machine Learning · Statistics 2017-05-25 Aniket Anand Deshmukh , Urun Dogan , Clayton Scott

In this paper we consider the problem of learning the optimal policy for uncontrolled restless bandit problems. In an uncontrolled restless bandit problem, there is a finite set of arms, each of which when pulled yields a positive reward.…

Optimization and Control · Mathematics 2015-01-30 Cem Tekin , Mingyan Liu

We study the federated pure exploration problem of multi-armed bandits and linear bandits, where $M$ agents cooperatively identify the best arm via communicating with the central server. To enhance the robustness against latency and…

Machine Learning · Computer Science 2024-10-01 Zichen Wang , Chuanhao Li , Chenyu Song , Lianghui Wang , Quanquan Gu , Huazheng Wang

Recommender systems relying on contextual multi-armed bandits continuously improve relevant item recommendations by taking into account the contextual information. The objective of bandit algorithms is to learn the best arm (e.g., best item…

Machine Learning · Computer Science 2025-12-10 Ahmed Sayeed Faruk , Elena Zheleva

We study incentivized exploration for the multi-armed bandit (MAB) problem where the players receive compensation for exploring arms other than the greedy choice and may provide biased feedback on reward. We seek to understand the impact of…

Machine Learning · Computer Science 2019-12-17 Zhiyuan Liu , Huazheng Wang , Fan Shen , Kai Liu , Lijun Chen

The multi-armed bandit problem is a classical decision-making problem where an agent has to learn an optimal action balancing exploration and exploitation. Properly managing this trade-off requires a correct assessment of uncertainty; in…

Machine Learning · Computer Science 2020-08-18 Fabio Massimo Zennaro , Audun Jøsang

This paper establishes a connection between a category of discrete choice models and the realms of online learning and multiarmed bandit algorithms. Our contributions can be summarized in two key aspects. Firstly, we furnish sublinear…

Machine Learning · Statistics 2023-10-03 Emerson Melo , David Müller

The primary goal of my Ph.D. study is to develop provably efficient and practical algorithms for data-driven sequential decision-making under uncertainty. My work focuses on reinforcement learning (RL), multi-armed bandits, and their…

Machine Learning · Computer Science 2025-05-16 Zhiyong Wang

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
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