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The combination of self-play and planning has achieved great successes in sequential games, for instance in Chess and Go. However, adapting algorithms such as AlphaZero to simultaneous games poses a new challenge. In these games, missing…

Artificial Intelligence · Computer Science 2024-06-12 Yannik Mahlau , Frederik Schubert , Bodo Rosenhahn

Planning problems are among the most important and well-studied problems in artificial intelligence. They are most typically solved by tree search algorithms that simulate ahead into the future, evaluate future states, and back-up those…

Artificial Intelligence · Computer Science 2018-07-18 Arthur Guez , Théophane Weber , Ioannis Antonoglou , Karen Simonyan , Oriol Vinyals , Daan Wierstra , Rémi Munos , David Silver

In this paper, we explore and compare multiple algorithms for solving the complex strategy game of Terra Mystica, hereafter abbreviated as TM. Previous work in the area of super-human game-play using AI has proven effective, with recent…

Multiagent Systems · Computer Science 2021-02-23 Luis Perez

In this paper, we study the effects of several Monte Carlo Tree Search (MCTS) modifications for video game testing. Although MCTS modifications are highly studied in game playing, their impacts on finding bugs are blank. We focused on bug…

Artificial Intelligence · Computer Science 2020-03-18 Sinan Ariyurek , Aysu Betin-Can , Elif Surer

We introduce a recursive AlphaZero-style Monte--Carlo tree search algorithm, "RMCTS". The advantage of RMCTS over AlphaZero's MCTS-UCB is speed. In RMCTS, the search tree is explored in a breadth-first manner, so that network inferences…

Artificial Intelligence · Computer Science 2026-01-12 Keith Frankston , Benjamin Howard

Many robotic tasks, such as inverse kinematics, motion planning, and optimal control, can be formulated as optimization problems. Solving these problems involves addressing nonlinear kinematics, complex contact dynamics, long-horizon…

Robotics · Computer Science 2025-09-10 Teng Xue , Yan Zhang , Amirreza Razmjoo , Sylvain Calinon

As quantum processors advance, the emergence of large-scale decentralized systems involving interacting quantum-enabled agents is on the horizon. Recent research efforts have explored quantum versions of Nash and correlated equilibria as…

Computer Science and Game Theory · Computer Science 2024-12-18 Wayne Lin , Georgios Piliouras , Ryann Sim , Antonios Varvitsiotis

Constructing agents with planning capabilities has long been one of the main challenges in the pursuit of artificial intelligence. Tree-based planning methods have enjoyed huge success in challenging domains, such as chess and Go, where a…

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

Games, including abstract board games, constitute a convenient ground to create, design, and improve new AI methods. In this field, Monte Carlo Tree Search is a popular algorithm family, aiming to build game trees and explore them…

Artificial Intelligence · Computer Science 2024-06-14 Florian Richoux

The quantified Boolean formula (QBF) problem is an important decision problem generally viewed as the archetype for PSPACE-completeness. Many problems of central interest in AI are in general not included in NP, e.g., planning, model…

Computational Complexity · Computer Science 2024-05-13 Leif Eriksson , Victor Lagerkvist , George Osipov , Sebastian Ordyniak , Fahad Panolan , Mateusz Rychlicki

Competitive program generation aims to automatically produce correct and efficient solutions for programming-contest problems under strict time and memory constraints. Existing LLM-based approaches often fail to perform explicit algorithmic…

Software Engineering · Computer Science 2026-05-05 Minnan Wei , Xiang Chen , Xiaoshuai Niu , Siyu Chen

Consider QBF, the Quantified Boolean Formula problem, as a combinatorial game ruleset. The problem is rephrased as determining the winner of the game where two opposing players take turns assigning values to boolean variables. In this…

Computational Complexity · Computer Science 2014-12-31 Kyle Burke

The performance of Variational Quantum Algorithms (VQAs) strongly depends on the choice of the parameterized quantum circuit to optimize. One of the biggest challenges in VQAs is designing quantum circuits tailored to the particular…

Quantum Physics · Physics 2026-05-06 Vincenzo Lipardi , Domenica Dibenedetto , Georgios Stamoulis , Mark H. M. Winands

Game solving is a similar, yet more difficult task than mastering a game. Solving a game typically means to find the game-theoretic value (outcome given optimal play), and optionally a full strategy to follow in order to achieve that…

Artificial Intelligence · Computer Science 2023-11-14 Ti-Rong Wu , Hung Guei , Ting Han Wei , Chung-Chin Shih , Jui-Te Chin , I-Chen Wu

Monte Carlo tree search (MCTS) has achieved state-of-the-art results in many domains such as Go and Atari games when combining with deep neural networks (DNNs). When more simulations are executed, MCTS can achieve higher performance but…

Artificial Intelligence · Computer Science 2020-12-16 Li-Cheng Lan , Meng-Yu Tsai , Ti-Rong Wu , I-Chen Wu , Cho-Jui Hsieh

Despite its groundbreaking success in Go and computer games, Monte Carlo Tree Search (MCTS) is computationally expensive as it requires a substantial number of rollouts to construct the search tree, which calls for effective…

Machine Learning · Computer Science 2020-10-06 Anji Liu , Yitao Liang , Ji Liu , Guy Van den Broeck , Jianshu Chen

UCT, a state-of-the art algorithm for Monte Carlo tree search (MCTS) in games and Markov decision processes, is based on UCB, 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

Modern SMT solvers, such as Z3, offer user-controllable strategies, enabling users to tailor solving strategies for their unique set of instances, thus dramatically enhancing solver performance for their use case. However, this approach of…

Artificial Intelligence · Computer Science 2024-05-01 Zhengyang Lu , Stefan Siemer , Piyush Jha , Joel Day , Florin Manea , Vijay Ganesh

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…

Artificial Intelligence · Computer Science 2022-02-16 Tuan Dam , Carlo D'Eramo , Jan Peters , Joni Pajarinen
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