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Greedy heuristics may be attuned by looking ahead for each possible choice, in an approach called the rollout or Pilot method. These methods may be seen as meta-heuristics that can enhance (any) heuristic solution, by repetitively modifying…

Data Structures and Algorithms · Computer Science 2012-10-02 Thomas Philip Runarsson , Marc Schoenauer , Michèle Sebag

Monte Carlo tree search (MCTS) has been successful in a variety of domains, but faces challenges with long-horizon exploration when compared to sampling-based motion planning algorithms like Rapidly-Exploring Random Trees. To address these…

Machine Learning · Computer Science 2024-07-09 Liam Schramm , Abdeslam Boularias

Large language models (LLMs) have demonstrated remarkable capabilities in code generation and structured reasoning; however, their performance often degrades on complex tasks that require consistent multi-step planning. Recent work has…

Machine Learning · Computer Science 2025-08-11 Fei Xu Yu , Gina Adam , Nathaniel D. Bastian , Tian Lan

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

Flexible implementations of Monte Carlo Tree Search (MCTS), combined with domain specific knowledge and hybridization with other search algorithms, can be powerful for finding the solutions to problems in complex planning. We introduce…

Machine Learning · Computer Science 2021-08-24 Larkin Liu , Jun Tao Luo

Monte Carlo tree search (MCTS) is a popular choice for solving sequential anytime problems. However, it depends on a numeric feedback signal, which can be difficult to define. Real-time MCTS is a variant which may only rarely encounter…

Artificial Intelligence · Computer Science 2018-09-20 Tobias Joppen , Christian Wirth , Johannes Fürnkranz

Monte Carlo Tree Search (MCTS) has profoundly influenced reinforcement learning (RL) by integrating planning and learning in tasks requiring long-horizon reasoning, exemplified by the AlphaZero family of algorithms. Central to MCTS is the…

Machine Learning · Computer Science 2026-04-28 Maximilian Weichart

Monte Carlo Tree Search (MCTS) has emerged as a powerful tool for decision-making in robotics, enabling efficient exploration of large search spaces. However, traditional MCTS methods struggle in environments characterized by high…

Robotics · Computer Science 2025-03-10 Xibai Wang

We introduce an approach aimed at enhancing the reasoning capabilities of Large Language Models (LLMs) through an iterative preference learning process inspired by the successful strategy employed by AlphaZero. Our work leverages Monte…

Artificial Intelligence · Computer Science 2024-06-19 Yuxi Xie , Anirudh Goyal , Wenyue Zheng , Min-Yen Kan , Timothy P. Lillicrap , Kenji Kawaguchi , Michael Shieh

In many problem settings, most notably in game playing, an agent receives a possibly delayed reward for its actions. Often, those rewards are handcrafted and not naturally given. Even simple terminal-only rewards, like winning equals 1 and…

Artificial Intelligence · Computer Science 2020-12-09 Tobias Joppen , Johannes Fürnkranz

UCT, a state-of-the art algorithm for Monte Carlo tree search (MCTS) in games and Markov decision processes, is based on UCB1, a sampling policy for the Multi-armed Bandit problem (MAB) that minimizes the cumulative regret. However, search…

Artificial Intelligence · Computer Science 2012-07-25 David Tolpin , Solomon Eyal Shimony

Recent advancements in large language models (LLMs) have shown remarkable potential in automating machine learning tasks. However, existing LLM-based agents often struggle with low-diversity and suboptimal code generation. While recent work…

Computation and Language · Computer Science 2026-01-26 Zujie Liang , Feng Wei , Wujiang Xu , Lin Chen , Yuxi Qian , Xinhui Wu

Bayesian optimization (BO) is a popular method for computationally expensive black-box optimization. However, traditional BO methods need to solve new problems from scratch, leading to slow convergence. Recent studies try to extend BO to a…

Machine Learning · Computer Science 2024-12-11 Shukuan Wang , Ke Xue , Lei Song , Xiaobin Huang , Chao Qian

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 extremely popular in computer Go which determines each action by enormous simulations in a broad and deep search tree. However, human experts select most actions by pattern analysis and careful evaluation…

Artificial Intelligence · Computer Science 2017-06-14 Jinzhuo Wang , Wenmin Wang , Ronggang Wang , Wen Gao

We propose Monte Carlo Permutation Search (MCPS), a general-purpose Monte Carlo Tree Search (MCTS) algorithm that improves upon the GRAVE algorithm. MCPS is relevant when deep reinforcement learning is not an option or when the computing…

Machine Learning · Computer Science 2026-05-27 Tristan Cazenave

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 describe mts, a generic framework for parallelizing certain types of tree search programs including reverse search, backtracking, branch and bound and satisfiability testing. It abstracts and generalizes the ideas used in parallelizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-29 David Avis , Charles Jordan

The single-track railway train timetabling problem (TTP) is an important and complex problem. This article proposes an integrated Monte Carlo Tree Search (MCTS) computing framework that combines heuristic methods, unsupervised learning…

Machine Learning · Computer Science 2023-11-03 Feiyu Yang

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
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