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Fractal AI is a theory for general artificial intelligence. It allows deriving new mathematical tools that constitute the foundations for a new kind of stochastic calculus, by modelling information using cellular automaton-like structures…

Artificial Intelligence · Computer Science 2020-07-31 Sergio Hernandez Cerezo , Guillem Duran Ballester

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…

Artificial Intelligence · Computer Science 2023-04-04 Maciej Świechowski , Konrad Godlewski , Bartosz Sawicki , Jacek Mańdziuk

The article presents the use of Monte Carlo Tree Search algorithms for the card game Lord of the Rings. The main challenge was the complexity of the game mechanics, in which each round consists of 5 decision stages and 2 random stages. To…

Artificial Intelligence · Computer Science 2021-09-28 Konrad Godlewski , Bartosz Sawicki

Artificial Intelligence, when amalgamated with games makes the ideal structure for research and advancing the field. Multi-agent games have multiple controls for each agent which generates huge amounts of data while increasing search…

Artificial Intelligence · Computer Science 2021-11-30 Harsh Panwar , Saswata Chatterjee , Wil Dube

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…

Artificial Intelligence · Computer Science 2024-09-26 Esteban Aldana Guerra

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 one…

Artificial Intelligence · Computer Science 2021-01-27 Tobias Joppen , Johannes Fürnkranz

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…

Artificial Intelligence · Computer Science 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

We examine a type of modified Monte Carlo Tree Search (MCTS) for strategising in combinatorial games. The modifications are derived by analysing simplified strategies and simplified versions of the underlying game and then using the results…

Computer Science and Game Theory · Computer Science 2025-01-14 Michael Haythorpe , Alex Newcombe , Damian O'Dea

Large Language Models (LLM) are increasingly being explored for problem-solving tasks. However, their strategic planning capability is often viewed with skepticism. Recent studies have incorporated the Monte Carlo Tree Search (MCTS)…

Artificial Intelligence · Computer Science 2025-02-05 Bingzheng Gan , Yufan Zhao , Tianyi Zhang , Jing Huang , Yusu Li , Shu Xian Teo , Changwang Zhang , Wei Shi

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

Monte Carlo Tree Search (MCTS) is a branch of stochastic modeling that utilizes decision trees for optimization, mostly applied to artificial intelligence (AI) game players. This project imagines a game in which an AI player searches for a…

Machine Learning · Computer Science 2020-12-01 Elana Kozak , Scott Hottovy

In many games, moves consist of several decisions made by the player. These decisions can be viewed as separate moves, which is already a common practice in multi-action games for efficiency reasons. Such division of a player move into a…

Artificial Intelligence · Computer Science 2021-12-16 Jakub Kowalski , Maksymilian Mika , Wojciech Pawlik , Jakub Sutowicz , Marek Szykuła , Mark H. M. Winands

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…

Machine Learning · Computer Science 2019-05-16 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

Strategy video games challenge AI agents with their combinatorial search space caused by complex game elements. State abstraction is a popular technique that reduces the state space complexity. However, current state abstraction methods for…

Artificial Intelligence · Computer Science 2022-05-31 Linjie Xu , Jorge Hurtado-Grueso , Dominic Jeurissen , Diego Perez Liebana , Alexander Dockhorn

We provide an overview of Monte Carlo algorithms based on Markovian stochastic dynamics of interacting and reacting many-particle systems not in thermal equilibrium. These agent-based simulations are an effective way of introducing students…

Statistical Mechanics · Physics 2025-07-24 Mohamed Swailem , Ulrich Dobramysl , Ruslan Mukhamadiarov , Uwe C. Täuber

We present Frost Training, a method for improving Monte Carlo-based policy optimization for a large family of LLM-as-a-judge tasks called Cross-Entropy Games. The key idea is to exploit the gradient of the reward function in embedding…

Artificial Intelligence · Computer Science 2026-05-28 Arthur Renard , Franck Gabriel , Valentin Hartmann , Clément Hongler

Monte Carlo Tree Search (MCTS) is a relatively new sampling method with multiple variants in the literature. They can be applied to a wide variety of challenging domains including board games, video games, and energy-based problems to…

Artificial Intelligence · Computer Science 2020-10-06 Fred Valdez Ameneyro , Edgar Galvan , Anger Fernando Kuri Morales

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

In this study, we explore the efficiency of the Monte Carlo Tree Search (MCTS), a prominent decision-making algorithm renowned for its effectiveness in complex decision environments, contingent upon the volume of simulations conducted.…

Artificial Intelligence · Computer Science 2024-03-19 Ye Zhang , Mengran Zhu , Kailin Gui , Jiayue Yu , Yong Hao , Haozhan Sun

This paper introduces a new negotiating agent model for automated negotiation. We focus on applications without time pressure with multidi-mensional negotiation on both continuous and discrete domains. The agent bidding strategy relies on…

Multiagent Systems · Computer Science 2019-09-23 Cédric Buron , Zahia Guessoum , Sylvain Ductor
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