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Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

人工智能 · 计算机科学 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Multi-armed bandit (MAB) is a widely adopted framework for sequential decision-making under uncertainty. Traditional bandit algorithms rely solely on online data, which tends to be scarce as it must be gathered during the online phase when…

统计理论 · 数学 2026-04-23 Wenlong Ji , Yihan Pan , Ruihao Zhu , Lihua Lei

The multi-armed bandit (MAB) problem is a classical learning task that exemplifies the exploration-exploitation tradeoff. However, standard formulations do not take into account {\em risk}. In online decision making systems, risk is a…

机器学习 · 计算机科学 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

The multi-armed bandit(MAB) is a classical sequential decision problem. Most work requires assumptions about the reward distribution (e.g., bounded), while practitioners may have difficulty obtaining information about these distributions to…

机器学习 · 计算机科学 2023-12-14 Han Qi , Fei Guo , Li Zhu

In this paper, we study multi-armed bandits (MAB) and stochastic linear bandits (SLB) with heavy-tailed rewards and quantum reward oracle. Unlike the previous work on quantum bandits that assumes bounded/sub-Gaussian distributions for…

机器学习 · 计算机科学 2023-01-25 Yulian Wu , Chaowen Guan , Vaneet Aggarwal , Di Wang

The UCT algorithm, which combines the UCB algorithm and Monte-Carlo Tree Search (MCTS), is currently the most widely used variant of MCTS. Recently, a number of investigations into applying other bandit algorithms to MCTS have produced…

人工智能 · 计算机科学 2015-05-13 Yun-Ching Liu , Yoshimasa Tsuruoka

Monte Carlo Tree Search (MCTS) is an immensely popular search-based framework used for decision making. It is traditionally applied to domains where a perfect simulation model of the environment is available. We study and improve MCTS in…

人工智能 · 计算机科学 2024-05-24 Farnaz Kohankhaki , Kiarash Aghakasiri , Hongming Zhang , Ting-Han Wei , Chao Gao , Martin Müller

Monte Carlo Tree Search (MCTS) is a powerful algorithm for solving complex decision-making problems. This paper presents an optimized MCTS implementation applied to the FrozenLake environment, a classic reinforcement learning task…

人工智能 · 计算机科学 2024-09-26 Esteban Aldana Guerra

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

机器学习 · 计算机科学 2015-03-20 Arthur Guez , David Silver , Peter Dayan

We present an extension of Monte Carlo Tree Search (MCTS) that strongly increases its efficiency for trees with asymmetry and/or loops. Asymmetric termination of search trees introduces a type of uncertainty for which the standard upper…

机器学习 · 统计学 2018-05-24 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

The combination of Monte Carlo tree search and neural networks has revolutionized online planning. As neural network approximations are often imperfect, we ask whether uncertainty estimates about the network outputs could be used to improve…

人工智能 · 计算机科学 2024-06-05 Nir Greshler , David Ben Eli , Carmel Rabinovitz , Gabi Guetta , Liran Gispan , Guy Zohar , Aviv Tamar

This paper introduces a novel backup strategy for Monte-Carlo Tree Search (MCTS) designed for highly stochastic and partially observable Markov decision processes. We adopt a probabilistic approach, modeling both value and action-value…

人工智能 · 计算机科学 2023-09-20 Tuan Dam , Pascal Stenger , Lukas Schneider , Joni Pajarinen , Carlo D'Eramo , Odalric-Ambrym Maillard

We present a new type of acquisition functions for online decision making in multi-armed and contextual bandit problems with extreme payoffs. Specifically, we model the payoff function as a Gaussian process and formulate a novel type of…

机器学习 · 计算机科学 2022-10-12 Yibo Yang , Antoine Blanchard , Themistoklis Sapsis , Paris Perdikaris

Monte Carlo planners can often return sub-optimal actions, even if they are guaranteed to converge in the limit of infinite samples. Known asymptotic regret bounds do not provide any way to measure confidence of a recommended action at the…

人工智能 · 计算机科学 2021-11-04 John Mern , Mykel J. Kochenderfer

Online planning is crucial for high performance in many complex sequential decision-making tasks. Monte Carlo Tree Search (MCTS) employs a principled mechanism for trading off exploration for exploitation for efficient online planning, and…

人工智能 · 计算机科学 2024-02-08 Kalle Kujanpää , Amin Babadi , Yi Zhao , Juho Kannala , Alexander Ilin , Joni Pajarinen

Bayes-optimal behavior, while well-defined, is often difficult to achieve. Recent advances in the use of Monte-Carlo tree search (MCTS) have shown that it is possible to act near-optimally in Markov Decision Processes (MDPs) with very large…

人工智能 · 计算机科学 2012-02-20 John Asmuth , Michael L. Littman

We present a new Monte Carlo Tree Search (MCTS) algorithm to solve the stochastic orienteering problem with chance constraints, i.e., a version of the problem where travel costs are random, and one is assigned a bound on the tolerable…

机器人学 · 计算机科学 2024-09-06 Stefano Carpin

Bandit based methods for tree search have recently gained popularity when applied to huge trees, e.g. in the game of go (Gelly et al., 2006). The UCT algorithm (Kocsis and Szepesvari, 2006), a tree search method based on Upper Confidence…

机器学习 · 计算机科学 2016-08-14 Pierre-Arnaud Coquelin , Rémi Munos

Monte-Carlo Tree Search (MCTS) is one of the most-widely used methods for planning, and has powered many recent advances in artificial intelligence. In MCTS, one typically performs computations (i.e., simulations) to collect statistics…

人工智能 · 计算机科学 2020-11-20 Eren Sezener , Peter Dayan

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…

机器学习 · 计算机科学 2023-02-06 Runzhe Wan , Haoyu Wei , Branislav Kveton , Rui Song