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Sequential decision-making under uncertainty is present in many important problems. Two popular approaches for tackling such problems are reinforcement learning and online search (e.g., Monte Carlo tree search). While the former learns a…

Artificial Intelligence · Computer Science 2024-01-23 Ava Pettet , Yunuo Zhang , Baiting Luo , Kyle Wray , Hendrik Baier , Aron Laszka , Abhishek Dubey , Ayan Mukhopadhyay

We consider a deterministic game with alternate moves and complete information, of which the issue is always the victory of one of the two opponents. We assume that this game is the realization of a random model enjoying some independence…

Probability · Mathematics 2018-01-25 Sylvain Delattre , Nicolas Fournier

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

Traditional search algorithms have issues when applied to games of imperfect information where the number of possible underlying states and trajectories are very large. This challenge is particularly evident in trick-taking card games.…

Artificial Intelligence · Computer Science 2024-04-23 Douglas Rebstock , Christopher Solinas , Nathan R. Sturtevant , Michael Buro

In recent years, Monte Carlo tree search (MCTS) has achieved widespread adoption within the game community. Its use in conjunction with deep reinforcement learning has produced success stories in many applications. While these approaches…

Artificial Intelligence · Computer Science 2024-04-02 Kimiya Saadat , Richard Zhao

Recent advancements in Large Language Models (LLMs) have successfully employed search-based strategies to enhance code generation. However, existing methods typically rely on static, sparse public test cases for verification, leading to…

Software Engineering · Computer Science 2026-04-14 Qingyao Li , Weiwen Liu , Weinan Zhang , Yong Yu , Bo An

This paper proposes using a linear function approximator, rather than a deep neural network (DNN), to bias a Monte Carlo tree search (MCTS) player for general games. This is unlikely to match the potential raw playing strength of DNNs, but…

Artificial Intelligence · Computer Science 2019-03-22 Dennis J. N. J. Soemers , Éric Piette , Cameron Browne

This paper introduces the MCTS algorithm to the financial world and focuses on solving significant multi-period financial planning models by combining a Monte Carlo Tree Search algorithm with a deep neural network. The MCTS provides an…

Computational Finance · Quantitative Finance 2022-05-19 Afşar Onat Aydınhan , Xiaoyue Li , John M. Mulvey

Dynamic job shop scheduling, a fundamental combinatorial optimisation problem in various industrial sectors, poses substantial challenges for effective scheduling due to frequent disruptions caused by the arrival of new jobs.…

Artificial Intelligence · Computer Science 2025-09-29 Ruiqi Chen , Yi Mei , Fangfang Zhang , Mengjie Zhang

This paper introduces a new paradigm for minimax game-tree search algo- rithms. MT is a memory-enhanced version of Pearls Test procedure. By changing the way MT is called, a number of best-first game-tree search algorithms can be simply and…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

The article presents research on the use of Monte-Carlo Tree Search (MCTS) methods to create an artificial player for the popular card game "The Lord of the Rings". The game is characterized by complicated rules, multi-stage round…

Machine Learning · Computer Science 2021-09-27 Konrad Godlewski , Bartosz Sawicki

We introduce MCTS-RAG, a novel approach that enhances the reasoning capabilities of small language models on knowledge-intensive tasks by leveraging retrieval-augmented generation (RAG) to provide relevant context and Monte Carlo Tree…

Computation and Language · Computer Science 2025-10-09 Yunhai Hu , Yilun Zhao , Chen Zhao , Arman Cohan

Gradient-based methods are often used for policy optimization in deep reinforcement learning, despite being vulnerable to local optima and saddle points. Although gradient-free methods (e.g., genetic algorithms or evolution strategies) help…

Machine Learning · Computer Science 2019-12-24 Xiaobai Ma , Katherine Driggs-Campbell , Zongzhang Zhang , Mykel J. Kochenderfer

We propose a provably correct Monte Carlo tree search (MCTS) algorithm for solving risk-aware Markov decision processes (MDPs) with entropic risk measure (ERM) objectives. We provide a non-asymptotic analysis of our proposed algorithm,…

Machine Learning · Computer Science 2026-02-06 Pedro P. Santos , Jacopo Silvestrin , Alberto Sardinha , Francisco S. Melo

In this work, a non-gaited framework for legged system locomotion is presented. The approach decouples the gait sequence optimization by considering the problem as a decision-making process. The redefined contact sequence problem is solved…

Robotics · Computer Science 2022-05-31 Lorenzo Amatucci , Joon-Ha Kim , Jemin Hwangbo , Hae-Won Park

We investigate the impact of supervised prediction models on the strength and efficiency of artificial agents that use the Monte-Carlo Tree Search (MCTS) algorithm to play a popular video game Hearthstone: Heroes of Warcraft. We overview…

Artificial Intelligence · Computer Science 2018-08-15 Maciej Świechowski , Tomasz Tajmajer , Andrzej Janusz

Diverse, top-k, and top-quality planning are concerned with the generation of sets of solutions to sequential decision problems. Previously this area has been the domain of classical planners that require a symbolic model of the problem…

Artificial Intelligence · Computer Science 2023-08-28 Lyndon Benke , Tim Miller , Michael Papasimeon , Nir Lipovetzky

This work investigates the Monte Carlo Tree Search (MCTS) method combined with dedicated heuristics for solving the Weighted Vertex Coloring Problem. In addition to the basic MCTS algorithm, we study several MCTS variants where the…

Artificial Intelligence · Computer Science 2025-03-05 Cyril Grelier , Olivier Goudet , Jin-Kao Hao

Model-based reinforcement learning (RL) methods that leverage search are responsible for many milestone breakthroughs in RL. Sequential Monte Carlo (SMC) recently emerged as an alternative to the Monte Carlo Tree Search (MCTS) algorithm…

Machine Learning · Computer Science 2026-05-22 Yaniv Oren , Joery A. de Vries , Pascal R. van der Vaart , Matthijs T. J. Spaan , Wendelin Böhmer

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