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A core challenge of Monte Carlo Tree Search (MCTS) is its sample efficiency, which can be improved by grouping state-action pairs and using their aggregate statistics instead of single-node statistics. On the Go Abstractions in Upper…

Artificial Intelligence · Computer Science 2025-10-30 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

One weakness of Monte Carlo Tree Search (MCTS) is its sample efficiency which can be addressed by building and using state and/or action abstractions in parallel to the tree search such that information can be shared among nodes of the same…

Artificial Intelligence · Computer Science 2025-10-29 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

One paradigm of Monte Carlo Tree Search (MCTS) improvements is to build and use state and/or action abstractions during the tree search. Non-exact abstractions, however, introduce an approximation error making convergence to the optimal…

Artificial Intelligence · Computer Science 2025-07-04 Robin Schmöcker , Lennart Kampmann , Alexander Dockhorn

Monte Carlo Tree Search (MCTS) has showcased its efficacy across a broad spectrum of decision-making problems. However, its performance often degrades under vast combinatorial action space, especially where an action is composed of multiple…

Machine Learning · Computer Science 2024-06-04 Yunhyeok Kwak , Inwoo Hwang , Dooyoung Kim , Sanghack Lee , Byoung-Tak Zhang

Monte Carlo Tree Search (MCTS) algorithms such as AlphaGo and MuZero have achieved superhuman performance in many challenging tasks. However, the computational complexity of MCTS-based algorithms is influenced by the size of the search…

Artificial Intelligence · Computer Science 2023-10-11 Yangqing Fu , Ming Sun , Buqing Nie , Yue Gao

We introduce a novel, drop-in modification to Monte Carlo Tree Search's (MCTS) decision policy that we call AUPO. Comparisons based on a range of IPPC benchmark problems show that AUPO clearly outperforms MCTS. AUPO is an automatic action…

Artificial Intelligence · Computer Science 2025-10-28 Robin Schmöcker , Alexander Dockhorn , Bodo Rosenhahn

We consider the problem of using a heuristic policy to improve the value approximation by the Upper Confidence Bound applied in Trees (UCT) algorithm in non-adversarial settings such as planning with large-state space Markov Decision…

Artificial Intelligence · Computer Science 2012-06-27 Truong-Huy Dinh Nguyen , Wee-Sun Lee , Tze-Yun Leong

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…

Artificial Intelligence · Computer Science 2013-12-04 Ben Ruijl , Jos Vermaseren , Aske Plaat , Jaap van den Herik

We consider Monte-Carlo Tree Search (MCTS) applied to Markov Decision Processes (MDPs) and Partially Observable MDPs (POMDPs), and the well-known Upper Confidence bound for Trees (UCT) algorithm. In UCT, a tree with nodes (states) and edges…

Artificial Intelligence · Computer Science 2020-07-14 Tuan Dam , Pascal Klink , Carlo D'Eramo , Jan Peters , Joni Pajarinen

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…

Artificial Intelligence · Computer Science 2024-05-24 Farnaz Kohankhaki , Kiarash Aghakasiri , Hongming Zhang , Ting-Han Wei , Chao Gao , Martin Müller

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…

Optimization and Control · Mathematics 2025-02-04 Hyeong Soo Chang

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…

Machine Learning · Statistics 2020-01-14 Devavrat Shah , Qiaomin Xie , Zhi Xu

Monte Carlo Tree Search (MCTS) is a best-first sampling method employed in the search for optimal decisions. The effectiveness of MCTS relies on the construction of its statistical tree, with the selection policy playing a crucial role. A…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Edgar Galvan , Fred Valdez Ameneyro

Monte Carlo Tree Search (MCTS), most famously used in game-play artificial intelligence (e.g., the game of Go), is a well-known strategy for constructing approximate solutions to sequential decision problems. Its primary innovation is the…

Optimization and Control · Mathematics 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

Constrained Markov decision processes (CMDPs), in which the agent optimizes expected payoffs while keeping the expected cost below a given threshold, are the leading framework for safe sequential decision making under stochastic…

Artificial Intelligence · Computer Science 2024-12-19 Martin Kurečka , Václav Nevyhoštěný , Petr Novotný , Vít Unčovský

Monte-Carlo Tree Search (MCTS) methods, such as Upper Confidence Bound applied to Trees (UCT), are instrumental to automated planning techniques. However, UCT can be slow to explore an optimal action when it initially appears inferior to…

Artificial Intelligence · Computer Science 2024-04-12 Michael Painter , Mohamed Baioumy , Nick Hawes , Bruno Lacerda

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…

Machine Learning · Statistics 2018-05-24 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

Monte-Carlo Tree Search (MCTS) is a widely-used strategy for online planning that combines Monte-Carlo sampling with forward tree search. Its success relies on the Upper Confidence bound for Trees (UCT) algorithm, an extension of the UCB…

Artificial Intelligence · Computer Science 2024-06-05 Tuan Dam , Odalric-Ambrym Maillard , Emilie Kaufmann

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…

Machine Learning · Computer Science 2012-03-19 Gerald Tesauro , V T Rajan , Richard Segal

Online planning in continuous state, action, and observation spaces remains challenging for autonomous systems. While Monte Carlo Tree Search (MCTS) scales effectively via sampling, most continuous (PO)MDP solvers do not exploit…

Artificial Intelligence · Computer Science 2026-05-19 Idan Lev-Yehudi , Michael Novitsky , Moran Barenboim , Ron Benchetrit , Vadim Indelman
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