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We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a…

系统与控制 · 电气工程与系统科学 2020-09-29 Yunchuan Li , Michael C. Fu , Jie Xu

In recent years, state-of-the-art game-playing agents often involve policies that are trained in self-playing processes where Monte Carlo tree search (MCTS) algorithms and trained policies iteratively improve each other. The strongest…

机器学习 · 计算机科学 2019-05-16 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

Monte-Carlo tree search (MCTS) is an effective anytime algorithm with a vast amount of applications. It strategically allocates computational resources to focus on promising segments of the search tree, making it a very attractive search…

人工智能 · 计算机科学 2024-02-14 Cedric Derstroff , Jannis Brugger , Jannis Blüml , Mira Mezini , Stefan Kramer , Kristian Kersting

In this work, we consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of infinite-horizon discounted cost Markov Decision Process (MDP). While…

机器学习 · 统计学 2020-01-14 Devavrat Shah , Qiaomin Xie , Zhi Xu

Monte-Carlo Tree Search (MCTS) is a class of methods for solving complex decision-making problems through the synergy of Monte-Carlo planning and Reinforcement Learning (RL). The highly combinatorial nature of the problems commonly…

人工智能 · 计算机科学 2022-02-16 Tuan Dam , Carlo D'Eramo , Jan Peters , Joni Pajarinen

In many applications of computer algebra large expressions must be simplified to make repeated numerical evaluations tractable. Previous works presented heuristically guided improvements, e.g., for Horner schemes. The remaining expression…

人工智能 · 计算机科学 2013-12-04 Ben Ruijl , Jos Vermaseren , Aske Plaat , Jaap van den Herik

Monte-Carlo Tree Search (MCTS) methods are drawing great interest after yielding breakthrough results in computer Go. This paper proposes a Bayesian approach to MCTS that is inspired by distributionfree approaches such as UCT [13], yet…

机器学习 · 计算机科学 2012-03-19 Gerald Tesauro , V T Rajan , Richard Segal

Monte Carlo Tree Search (MCTS) is a powerful approach to designing game-playing bots or solving sequential decision problems. The method relies on intelligent tree search that balances exploration and exploitation. MCTS performs random…

人工智能 · 计算机科学 2023-04-04 Maciej Świechowski , Konrad Godlewski , Bartosz Sawicki , Jacek Mańdziuk

High-dimensional design spaces underpin a wide range of physics-based modeling and computational design tasks in science and engineering. These problems are commonly formulated as constrained black-box searches over rugged objective…

The process of discovery requires active exploration -- the act of collecting new and informative data. However, efficient autonomous exploration remains a major unsolved problem. The dominant paradigm addresses this challenge by using…

机器学习 · 计算机科学 2026-05-14 Zakaria Mhammedi , James Cohan

Recent methodologies in LLM self-training mostly rely on LLM generating responses and filtering those with correct output answers as training data. This approach often yields a low-quality fine-tuning training set (e.g., incorrect plans or…

计算与语言 · 计算机科学 2024-11-19 Dan Zhang , Sining Zhoubian , Ziniu Hu , Yisong Yue , Yuxiao Dong , Jie Tang

Monte Carlo Tree Search (MCTS) is particularly adapted to domains where the potential actions can be represented as a tree of sequential decisions. For an effective action selection, MCTS performs many simulations to build a reliable tree…

人工智能 · 计算机科学 2018-09-10 Seydou Ba , Takuya Hiraoka , Takashi Onishi , Toru Nakata , Yoshimasa Tsuruoka

A recent theoretical analysis of a Monte-Carlo tree search (MCTS) method properly modified from the ``upper confidence bound applied to trees" (UCT) algorithm established a surprising result, due to a great deal of empirical successes…

最优化与控制 · 数学 2025-02-04 Hyeong Soo Chang

Popular Monte-Carlo tree search (MCTS) algorithms for online planning, such as epsilon-greedy tree search and UCT, aim at rapidly identifying a reasonably good action, but provide rather poor worst-case guarantees on performance improvement…

人工智能 · 计算机科学 2013-09-27 Zohar Feldman , Carmel Domshlak

The Upper Confidence Bounds For Trees (UCT) algorithm is not agnostic to the reward scale of the game it is applied to. For zero-sum games with the sparse rewards of $\{-1,0,1\}$ at the end of the game, this is not a problem, but many games…

人工智能 · 计算机科学 2025-10-27 Robin Schmöcker , Christoph Schnell , Alexander Dockhorn

Reinforcement learning has achieved remarkable success in perfect information games such as Go and Atari, enabling agents to compete at the highest levels against human players. However, research in reinforcement learning for imperfect…

机器学习 · 计算机科学 2024-10-24 Jiamian Li

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

We consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of finite-horizon Markov decision process. We propose a dynamic sampling tree policy that…

人工智能 · 计算机科学 2023-05-09 Gongbo Zhang , Yijie Peng , Yilong Xu

TAMER has proven to be a powerful interactive reinforcement learning method for allowing ordinary people to teach and personalize autonomous agents' behavior by providing evaluative feedback. However, a TAMER agent planning with UCT---a…

人工智能 · 计算机科学 2019-04-19 Guangliang Li , Randy Gomez , Keisuke Nakamura , Jinying Lin , Qilei Zhang , Bo He

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