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In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from a single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

Artificial Intelligence · Computer Science 2022-12-07 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

Rewrite systems [6, 10, 12] have been widely employing equality saturation [9], which is an optimisation methodology that uses a saturated e-graph to represent all possible sequences of rewrite simultaneously, and then extracts the optimal…

Artificial Intelligence · Computer Science 2023-04-21 Guoliang He , Zak Singh , Eiko Yoneki

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

Recent advances in reasoning with large language models (LLMs) have shown the effectiveness of Monte Carlo Tree Search (MCTS) for generating high quality intermediate trajectories, particularly in math and symbolic domains. Inspired by…

Artificial Intelligence · Computer Science 2025-12-23 Bingning Huang , Tu Nguyen , Matthieu Zimmer

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

In this work we study a well-known and challenging problem of Multi-agent Pathfinding, when a set of agents is confined to a graph, each agent is assigned a unique start and goal vertices and the task is to find a set of collision-free…

Artificial Intelligence · Computer Science 2023-07-26 Yelisey Pitanov , Alexey Skrynnik , Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov

Decision-making under uncertainty (DMU) is present in many important problems. An open challenge is DMU in non-stationary environments, where the dynamics of the environment can change over time. Reinforcement Learning (RL), a popular…

Artificial Intelligence · Computer Science 2022-03-01 Geoffrey Pettet , Ayan Mukhopadhyay , Abhishek Dubey

Recently, the seminal algorithms AlphaGo and AlphaZero have started a new era in game learning and deep reinforcement learning. While the achievements of AlphaGo and AlphaZero - playing Go and other complex games at super human level - are…

Machine Learning · Computer Science 2022-09-27 Johannes Scheiermann , Wolfgang Konen

This study investigates the combined use of generative grammar rules and Monte Carlo Tree Search (MCTS) for optimizing truss structures. Our approach accommodates intermediate construction stages characteristic of progressive construction…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Gabriel Garayalde , Luca Rosafalco , Matteo Torzoni , Alberto Corigliano

This paper introduces the Constrained Monte Carlo Tree Search (CMCTS) framework to enhance the mathematical reasoning capabilities of Large Language Models (LLM). By incorporating a constrained action space, Process Reward Model (PRM), and…

Computation and Language · Computer Science 2025-06-17 Qingwen Lin , Boyan Xu , Guimin Hu , Zijian Li , Zhifeng Hao , Keli Zhang , Ruichu Cai

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

Monte Carlo Tree Search (MCTS) methods have achieved great success in many Artificial Intelligence (AI) benchmarks. The in-tree operations become a critical performance bottleneck in realizing parallel MCTS on CPUs. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Yuan Meng , Rajgopal Kannan , Viktor Prasanna

Monte Carlo Tree Search (MCTS) is a widely used approach for policy improvement through search with increasing popularity for real world applications. Due to the sequential and deterministic nature of its search, runtime-scaling of MCTS…

Machine Learning · Computer Science 2026-05-22 Yaniv Oren , Viliam Vadocz , Joery A. de Vries , Wendelin Böhmer , Matthijs T. J. Spaan , Hendrik Baier

Lane-free traffic environments allow vehicles to better harness the lateral capacity of the road without being restricted to lane-keeping, thereby increasing the traffic flow rates. As such, we have a distinct and more challenging setting…

Tree search-based methods have made significant progress in enhancing the code generation capabilities of large language models. However, due to the difficulty in effectively evaluating intermediate algorithmic steps and the inability to…

Artificial Intelligence · Computer Science 2025-12-18 Yuanyuan Lin , Xiangyu Ouyang , Teng Zhang , Kaixin Sui

One of the most important AI research questions is to trade off computation versus performance since ``perfect rationality" exists in theory but is impossible to achieve in practice. Recently, Monte-Carlo tree search (MCTS) has attracted…

Artificial Intelligence · Computer Science 2022-10-25 Weirui Ye , Pieter Abbeel , Yang Gao

Symbolic regression aims to discover concise, interpretable mathematical expressions that satisfy desired objectives, such as fitting data, posing a highly combinatorial optimization problem. While genetic programming has been the dominant…

Machine Learning · Computer Science 2025-09-25 Zhengyao Huang , Daniel Zhengyu Huang , Tiannan Xiao , Dina Ma , Zhenyu Ming , Hao Shi , Yuanhui Wen

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

One-shot neural architecture search (NAS) methods significantly reduce the search cost by considering the whole search space as one network, which only needs to be trained once. However, current methods select each operation independently…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Xiu Su , Tao Huang , Yanxi Li , Shan You , Fei Wang , Chen Qian , Changshui Zhang , Chang Xu

Autonomous mobile robots enable increased flexibility of manufacturing systems. The design and operating strategy of such a fleet of robots requires careful consideration of both fixed and operational costs. In this paper, a Monte-Carlo…

Systems and Control · Electrical Eng. & Systems 2024-03-05 T. M. J. T. Baltussen , M. Goutham , M. Menon , S. G. Garrow , M. Santillo , S. Stockar
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