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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

Determining optimal well placements and controls are two important tasks in oil field development. These problems are computationally expensive, nonconvex, and contain multiple optima. The practical solution of these problems require…

Optimization and Control · Mathematics 2016-09-02 Xiang Wang , Ronald D. Haynes , Qihong Feng

Large Language Models (LLMs) have empowered autonomous agents to handle complex web navigation tasks. While recent studies integrate tree search to enhance long-horizon reasoning, applying these algorithms in web navigation faces two…

Artificial Intelligence · Computer Science 2026-02-17 Weiming Zhang , Jihong Wang , Jiamu Zhou , Qingyao Li , Xinbei Ma , Congmin Zheng , Xingyu Lou , Weiwen Liu , Zhuosheng Zhang , Jun Wang , Yong Yu , Weinan Zhang

Now a days many algorithms are invented or being inventing to find the solution for Euclidean Minimum Spanning Tree, EMST, problem, as its applicability is increasing in much wide range of fields containing spatial or spatio temporal data…

Performance · Computer Science 2012-10-24 Hazarath Munaga , Venkata Jarugumalli

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

Artificial Intelligence · Computer Science 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

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

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

Motion Planning is necessary for robots to complete different tasks. Rapidly-exploring Random Tree (RRT) and its variants have been widely used in robot motion planning due to their fast search in state space. However, they perform not well…

Robotics · Computer Science 2022-05-19 Zhirui Sun , Jiankun Wang , Max Q. -H. Meng

With the aim of improving performance in Markov Decision Problem in an Off-Policy setting, we suggest taking inspiration from what is done in Offline Reinforcement Learning (RL). In Offline RL, it is a common practice during policy learning…

Artificial Intelligence · Computer Science 2024-10-29 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

Standard planners for sequential decision making (including Monte Carlo planning, tree search, dynamic programming, etc.) are constrained by an implicit sequential planning assumption: The order in which a plan is constructed is the same in…

We introduce MCTS-RAG, a novel approach that enhances the reasoning capabilities of small language models on knowledge-intensive tasks by leveraging retrieval-augmented generation (RAG) to provide relevant context and Monte Carlo Tree…

Computation and Language · Computer Science 2025-10-09 Yunhai Hu , Yilun Zhao , Chen Zhao , Arman Cohan

Monte-Carlo Tree Search (MCTS) is a fundamental sampling-based search algorithm widely used for online planning in sequential decision-making domains. Despite its success in driving recent advances in artificial intelligence, understanding…

Artificial Intelligence · Computer Science 2026-04-17 Yiyu Qian , Liyuan Zhao , Tim Miller

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

Neural and Evolutionary Computing · Computer Science 2020-01-30 Yu Chen , Jun He

In Noisy Intermediate-Scale Quantum (NISQ) era, quantum processing units (QPUs) suffer from, among others, highly limited connectivity between physical qubits. To make a quantum circuit effectively executable, a circuit transformation…

Quantum Physics · Physics 2022-01-26 Xiangzhen Zhou , Yuan Feng , Sanjiang Li

We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Yunchuan Li , Michael C. Fu , Jie Xu

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

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

Computational Geometry · Computer Science 2021-06-24 Parikshit Ram , Alexander G. Gray

We explore how a general AI algorithm can be used for 3D scene understanding to reduce the need for training data. More exactly, we propose a modification of the Monte Carlo Tree Search (MCTS) algorithm to retrieve objects and room layouts…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Shreyas Hampali , Sinisa Stekovic , Sayan Deb Sarkar , Chetan Srinivasa Kumar , Friedrich Fraundorfer , Vincent Lepetit

We present a self-improving, Neural Tree Expansion (NTE) method for multi-robot online planning in non-cooperative environments, where each robot attempts to maximize its cumulative reward while interacting with other self-interested…

Robotics · Computer Science 2021-07-12 Benjamin Riviere , Wolfgang Hoenig , Matthew Anderson , Soon-Jo Chung

We present Doubly Robust Monte Carlo Tree Search (DR-MCTS), a novel algorithm that integrates Doubly Robust (DR) off-policy estimation into Monte Carlo Tree Search (MCTS) to enhance sample efficiency and decision quality in complex…

Machine Learning · Statistics 2025-02-05 Manqing Liu , Andrew L. Beam
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