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This paper addresses the problem of optimal control using search trees. We start by considering multi-armed bandit problems with continuous action spaces and propose LD-HOO, a limited depth variant of the hierarchical optimistic…

Optimization and Control · Mathematics 2021-06-30 Ricardo Quinteiro , Francisco S. Melo , Pedro A. Santos

The combination of Monte-Carlo tree search (MCTS) with deep reinforcement learning has led to significant advances in artificial intelligence. However, AlphaZero, the current state-of-the-art MCTS algorithm, still relies on handcrafted…

Machine Learning · Computer Science 2020-07-27 Jean-Bastien Grill , Florent Altché , Yunhao Tang , Thomas Hubert , Michal Valko , Ioannis Antonoglou , Rémi Munos

Monte Carlo tree search (MCTS) has been successful in a variety of domains, but faces challenges with long-horizon exploration when compared to sampling-based motion planning algorithms like Rapidly-Exploring Random Trees. To address these…

Machine Learning · Computer Science 2024-07-09 Liam Schramm , Abdeslam Boularias

In this work, we consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of infinite-horizon discounted cost Markov Decision Process (MDP). While…

Machine Learning · Statistics 2020-01-14 Devavrat Shah , Qiaomin Xie , Zhi Xu

Path planning is a crucial algorithmic approach for designing robot behaviors. Sampling-based approaches, like rapidly exploring random trees (RRTs) or probabilistic roadmaps, are prominent algorithmic solutions for path planning problems.…

Robotics · Computer Science 2022-08-05 T. Dam , G. Chalvatzaki , J. Peters , J. Pajarinen

In this paper, we develop Monte-Carlo based heuristic approaches to approximate the objective function in long horizon optimal control problems. In these approaches, to approximate the expectation operator in the objective function, we…

Systems and Control · Electrical Eng. & Systems 2020-09-17 Shankarachary Ragi , Hans D. Mittelmann

Monte Carlo Tree Search (MCTS) is particularly adapted to domains where the potential actions can be represented as a tree of sequential decisions. For an effective action selection, MCTS performs many simulations to build a reliable tree…

Artificial Intelligence · Computer Science 2018-09-10 Seydou Ba , Takuya Hiraoka , Takashi Onishi , Toru Nakata , Yoshimasa Tsuruoka

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

Monte-Carlo Tree Search (MCTS) is a widely-used strategy for online planning that combines Monte-Carlo sampling with forward tree search. Its success relies on the Upper Confidence bound for Trees (UCT) algorithm, an extension of the UCB…

Artificial Intelligence · Computer Science 2024-06-05 Tuan Dam , Odalric-Ambrym Maillard , Emilie Kaufmann

This work investigates Monte-Carlo planning for agents in stochastic environments, with multiple objectives. We propose the Convex Hull Monte-Carlo Tree-Search (CHMCTS) framework, which builds upon Trial Based Heuristic Tree Search and…

Artificial Intelligence · Computer Science 2020-03-24 Michael Painter , Bruno Lacerda , Nick Hawes

This paper introduces COR-MCTS (Conservation of Resources - Monte Carlo Tree Search), a novel tactical decision-making approach for automated driving focusing on maneuver planning over extended horizons. Traditional decision-making…

Robotics · Computer Science 2025-04-23 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

Monte Carlo Tree Search (MCTS) has proven effective in solving decision-making problems in perfect information settings. However, its application to stochastic and imperfect information domains remains limited. This paper extends the…

Machine Learning · Computer Science 2025-02-12 Can Cömer , Jannis Blüml , Cedric Derstroff , Kristian Kersting

Real-world problems often require reasoning about hybrid beliefs, over both discrete and continuous random variables. Yet, such a setting has hardly been investigated in the context of planning. Moreover, existing online Partially…

Artificial Intelligence · Computer Science 2023-05-04 Moran Barenboim , Moshe Shienman , Vadim Indelman

Monte-Carlo planning and Reinforcement Learning (RL) are essential to sequential decision making. The recent AlphaGo and AlphaZero algorithms have shown how to successfully combine these two paradigms in order to solve large scale…

Machine Learning · Computer Science 2021-02-17 Tuan Dam , Carlo D'Eramo , Jan Peters , Joni Pajarinen

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

Online planning is crucial for high performance in many complex sequential decision-making tasks. Monte Carlo Tree Search (MCTS) employs a principled mechanism for trading off exploration for exploitation for efficient online planning, and…

Artificial Intelligence · Computer Science 2024-02-08 Kalle Kujanpää , Amin Babadi , Yi Zhao , Juho Kannala , Alexander Ilin , Joni Pajarinen

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

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

Bayes-optimal behavior, while well-defined, is often difficult to achieve. Recent advances in the use of Monte-Carlo tree search (MCTS) have shown that it is possible to act near-optimally in Markov Decision Processes (MDPs) with very large…

Artificial Intelligence · Computer Science 2012-02-20 John Asmuth , Michael L. Littman

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
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