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We present a study of several generic tree search techniques applied to the Sequential Ordering Problem. This study enables us to propose a simple and competitive tree search algorithm. It consists of an iterative Beam Search algorithm that…

Discrete Mathematics · Computer Science 2020-01-26 Luc Libralesso , Abdel-Malik Bouhassoun , Hadrien Cambazard , Vincent Jost

In this article we propose a heuristic algorithm to explore search space trees associated with instances of combinatorial optimization problems. The algorithm is based on Monte Carlo tree search, a popular algorithm in game playing that is…

Artificial Intelligence · Computer Science 2022-11-17 Jorik Jooken , Pieter Leyman , Tony Wauters , Patrick De Causmaecker

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

This paper introduces a new system to design constructive level generators by searching the space of constructive level generators defined by Marahel language. We use NSGA-II, a multi-objective optimization algorithm, to search for…

Neural and Evolutionary Computing · Computer Science 2020-07-23 Ahmed Khalifa , Julian Togelius

In this work, we consider the problem of procedural content generation for video game levels. Prior approaches have relied on evolutionary search (ES) methods capable of generating diverse levels, but this generation procedure is slow,…

Artificial Intelligence · Computer Science 2022-08-01 Nicholas Muir , Steven James

Procedurally generated video game content has the potential to drastically reduce the content creation budget of game developers and large studios. However, adoption is hindered by limitations such as slow generation, as well as low quality…

Neural and Evolutionary Computing · Computer Science 2022-04-15 Michael Beukman , Christopher W Cleghorn , Steven James

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

Search-based procedural content generation (PCG) is a well-known method for level generation in games. Its key advantage is that it is generic and able to satisfy functional constraints. However, due to the heavy computational costs to run…

Artificial Intelligence · Computer Science 2022-08-26 Ahmed Khalifa , Michael Cerny Green , Julian Togelius

Designing search algorithms for finding global optima is one of the most active research fields, recently. These algorithms consist of two main categories, i.e., classic mathematical and metaheuristic algorithms. This article proposes a…

Neural and Evolutionary Computing · Computer Science 2018-09-26 Benyamin Ghojogh , Saeed Sharifian , Hoda Mohammadzade

In this research, we investigate the possibility of applying a search strategy to genetic algorithms to explore the entire genetic tree structure. Several methods aid in performing tree searches; however, simpler algorithms such as…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Akshay Hebbar

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

Competition-level code generation tasks pose significant challenges for current state-of-the-art large language models (LLMs). For example, on the LiveCodeBench-Hard dataset, models such as O1-Mini and O1-Preview achieve pass@1 rates of…

Artificial Intelligence · Computer Science 2024-12-31 Hao Wang , Boyi Liu , Yufeng Zhang , Jie Chen

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

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

We introduce two novel tree search algorithms that use a policy to guide search. The first algorithm is a best-first enumeration that uses a cost function that allows us to prove an upper bound on the number of nodes to be expanded before…

Artificial Intelligence · Computer Science 2018-11-29 Laurent Orseau , Levi H. S. Lelis , Tor Lattimore , Théophane Weber

The combination of Monte-Carlo Tree Search (MCTS) and deep reinforcement learning is state-of-the-art in two-player perfect-information games. In this paper, we describe a search algorithm that uses a variant of MCTS which we enhanced by 1)…

Machine Learning · Computer Science 2020-05-26 Arta Seify , Michael Buro

Neural network supported tree-search has shown strong results in a variety of perfect information multi-agent tasks. However, the performance of these methods on partial information games has generally been below competing approaches. Here…

Multiagent Systems · Computer Science 2024-06-18 Ryan Yu , Alex Olshevsky , Peter Chin

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

Neural and Evolutionary Computing · Computer Science 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh

Recent research suggests that tree search algorithms (e.g. Monte Carlo Tree Search) can dramatically boost LLM performance on complex mathematical reasoning tasks. However, they often require more than 10 times the computational resources…

Computation and Language · Computer Science 2024-07-02 Ante Wang , Linfeng Song , Ye Tian , Baolin Peng , Dian Yu , Haitao Mi , Jinsong Su , Dong Yu

Dynamic resource allocation (DRA) problems are an important class of dynamic stochastic optimization problems that arise in a variety of important real-world applications. DRA problems are notoriously difficult to solve to optimality since…

Optimization and Control · Mathematics 2014-05-22 Dimitris Bertsimas , J. Daniel Griffith , Vishal Gupta , Mykel J. Kochenderfer , Velibor V. Mišić , Robert Moss
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