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We propose a provably correct Monte Carlo tree search (MCTS) algorithm for solving risk-aware Markov decision processes (MDPs) with entropic risk measure (ERM) objectives. We provide a non-asymptotic analysis of our proposed algorithm,…

Machine Learning · Computer Science 2026-02-06 Pedro P. Santos , Jacopo Silvestrin , Alberto Sardinha , Francisco S. Melo

In large domains, Monte-Carlo tree search (MCTS) is required to estimate the values of the states as efficiently and accurately as possible. However, the standard update rule in backpropagation assumes a stationary distribution for the…

Machine Learning · Computer Science 2020-01-28 Yueqin Li , Nengli Lim

The integration of autonomous vehicles into urban and highway environments necessitates the development of robust and adaptable behavior planning systems. This study presents an innovative approach to address this challenge by utilizing a…

Robotics · Computer Science 2023-10-19 Qianfeng Wen , Zhongyi Gong , Lifeng Zhou , Zhongshun Zhang

This paper introduces a novel backup strategy for Monte-Carlo Tree Search (MCTS) designed for highly stochastic and partially observable Markov decision processes. We adopt a probabilistic approach, modeling both value and action-value…

Artificial Intelligence · Computer Science 2023-09-20 Tuan Dam , Pascal Stenger , Lukas Schneider , Joni Pajarinen , Carlo D'Eramo , Odalric-Ambrym Maillard

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

We consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of finite-horizon Markov decision process. We propose a dynamic sampling tree policy that…

Artificial Intelligence · Computer Science 2023-05-09 Gongbo Zhang , Yijie Peng , Yilong Xu

Proof-Number Search (PNS) and Monte-Carlo Tree Search (MCTS) have been successfully applied for decision making in a range of games. This paper proposes a new approach called PN-MCTS that combines these two tree-search methods by…

Artificial Intelligence · Computer Science 2022-06-09 Elliot Doe , Mark H. M. Winands , Dennis J. N. J. Soemers , Cameron Browne

Inference-time search algorithms such as Monte-Carlo Tree Search (MCTS) may seem unnecessary when generating natural language text based on state-of-the-art reinforcement learning such as Proximal Policy Optimization (PPO). In this paper,…

Computation and Language · Computer Science 2024-04-03 Jiacheng Liu , Andrew Cohen , Ramakanth Pasunuru , Yejin Choi , Hannaneh Hajishirzi , Asli Celikyilmaz

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

Monte Carlo Tree Search (MCTS) is a sampling best-first method to search for optimal decisions. The success of MCTS depends heavily on how the tree is built and the selection process plays a fundamental role in this. One particular…

Neural and Evolutionary Computing · Computer Science 2022-08-30 Edgar Galván , Gavin Simpson , Fred Valdez Ameneyro

Leveraging the power of a graph neural network (GNN) with message passing, we present a Monte Carlo Tree Search (MCTS) method to solve stochastic orienteering problems with chance constraints. While adhering to an assigned travel budget the…

Robotics · Computer Science 2025-08-19 Marcos Abel Zuzuárregui , Stefano Carpin

This paper proposes a new game-search algorithm, PN-MCTS, which combines Monte-Carlo Tree Search (MCTS) and Proof-Number Search (PNS). These two algorithms have been successfully applied for decision making in a range of domains. We define…

Artificial Intelligence · Computer Science 2024-05-30 Jakub Kowalski , Elliot Doe , Mark H. M. Winands , Daniel Górski , Dennis J. N. J. Soemers

Monte Carlo Tree Search (MCTS) has emerged as a powerful tool for decision-making in robotics, enabling efficient exploration of large search spaces. However, traditional MCTS methods struggle in environments characterized by high…

Robotics · Computer Science 2025-03-10 Xibai Wang

UCT, a state-of-the art algorithm for Monte Carlo tree sampling (MCTS), is based on UCB, a sampling policy for the Multi-armed Bandit Problem (MAB) that minimizes the accumulated regret. However, MCTS differs from MAB in that only the final…

Artificial Intelligence · Computer Science 2012-07-26 David Tolpin , Solomon Eyal Shimony

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

The key to Black-Box Optimization is to efficiently search through input regions with potentially widely-varying numerical properties, to achieve low-regret descent and fast progress toward the optima. Monte Carlo Tree Search (MCTS) methods…

Machine Learning · Computer Science 2022-11-03 Yaoguang Zhai , Sicun Gao

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

Effective decision-making and problem-solving in conversational systems require the ability to identify and acquire missing information through targeted questioning. A key challenge lies in efficiently narrowing down a large space of…

Artificial Intelligence · Computer Science 2025-06-03 Harshita Chopra , Chirag Shah

Monte Carlo Tree Search (MCTS) efficiently balances exploration and exploitation in tree search based on count-derived uncertainty. However, these local visit counts ignore a second type of uncertainty induced by the size of the subtree…

Artificial Intelligence · Computer Science 2020-05-21 Thomas M Moerland , Joost Broekens , Aske Plaat , Catholijn M Jonker

High-dimensional design spaces underpin a wide range of physics-based modeling and computational design tasks in science and engineering. These problems are commonly formulated as constrained black-box searches over rugged objective…

Machine Learning · Computer Science 2026-01-13 Suvo Banik , Troy D. Loeffler , Henry Chan , Sukriti Manna , Orcun Yildiz , Tom Peterka , Subramanian Sankaranarayanan