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A recent theoretical analysis of a Monte-Carlo tree search (MCTS) method properly modified from the ``upper confidence bound applied to trees" (UCT) algorithm established a surprising result, due to a great deal of empirical successes…

Optimization and Control · Mathematics 2025-02-04 Hyeong Soo Chang

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…

This paper introduces AlphaMapleSAT, a Cube-and-Conquer (CnC) parallel SAT solver that integrates Monte Carlo Tree Search (MCTS) with deductive feedback to efficiently solve challenging combinatorial SAT problems. Traditional lookahead…

Artificial Intelligence · Computer Science 2026-01-21 Piyush Jha , Zhengyu Li , Zhengyang Lu , Raymond Zeng , Curtis Bright , Vijay Ganesh

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

While many recent advances in deep reinforcement learning (RL) rely on model-free methods, model-based approaches remain an alluring prospect for their potential to exploit unsupervised data to learn environment model. In this work, we…

Machine Learning · Computer Science 2019-09-06 Kamyar Azizzadenesheli , Brandon Yang , Weitang Liu , Zachary C Lipton , Animashree Anandkumar

The performance of Variational Quantum Algorithms (VQAs) strongly depends on the choice of the parameterized quantum circuit to optimize. One of the biggest challenges in VQAs is designing quantum circuits tailored to the particular…

Quantum Physics · Physics 2026-05-06 Vincenzo Lipardi , Domenica Dibenedetto , Georgios Stamoulis , Mark H. M. Winands

Integrated task and motion planning (TAMP) is desirable for generalized autonomy robots but it is challenging at the same time. TAMP requires the planner to not only search in both the large symbolic task space and the high-dimension motion…

Robotics · Computer Science 2021-10-18 Tianyu Ren , Georgia Chalvatzaki , Jan Peters

The UCT algorithm, which combines the UCB algorithm and Monte-Carlo Tree Search (MCTS), is currently the most widely used variant of MCTS. Recently, a number of investigations into applying other bandit algorithms to MCTS have produced…

Artificial Intelligence · Computer Science 2015-05-13 Yun-Ching Liu , Yoshimasa Tsuruoka

This paper presents Generalized Proof-Number Monte-Carlo Tree Search: a generalization of recently proposed combinations of Proof-Number Search (PNS) with Monte-Carlo Tree Search (MCTS), which use (dis)proof numbers to bias UCB1-based…

Artificial Intelligence · Computer Science 2025-06-17 Jakub Kowalski , Dennis J. N. J. Soemers , Szymon Kosakowski , Mark H. M. Winands

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

Monte Carlo Tree Search (MCTS) methods have proven powerful in planning for sequential decision-making problems such as Go and video games, but their performance can be poor when the planning depth and sampling trajectories are limited or…

Artificial Intelligence · Computer Science 2016-04-26 Xiaoxiao Guo , Satinder Singh , Richard Lewis , Honglak Lee

We introduce Monte Carlo Forest Search (MCFS), a class of reinforcement learning (RL) algorithms for learning policies in {tree MDPs}, for which policy execution involves traversing an exponential-sized tree. Examples of such problems…

Artificial Intelligence · Computer Science 2024-07-16 Chris Cameron , Jason Hartford , Taylor Lundy , Tuan Truong , Alan Milligan , Rex Chen , Kevin Leyton-Brown

Inference-time scaling strategies, particularly Monte Carlo Tree Search (MCTS), have significantly enhanced the reasoning capabilities of Large Language Models (LLMs). However, current approaches remain predominantly stateless, discarding…

Artificial Intelligence · Computer Science 2026-02-05 Hao Lu , Haoyuan Huang , Yulin Zhou , Chen Li , Ningxin Zhu

In response to the lack of trust in Artificial Intelligence (AI) for sequential planning, we design a Computational Tree Logic-guided large language model (LLM)-based natural language explanation framework designed for the Monte Carlo Tree…

Artificial Intelligence · Computer Science 2025-05-02 Ziyan An , Xia Wang , Hendrik Baier , Zirong Chen , Abhishek Dubey , Taylor T. Johnson , Jonathan Sprinkle , Ayan Mukhopadhyay , Meiyi Ma

Models of intrinsic motivation present an important means to produce sensible behaviour in the absence of extrinsic rewards. Applications in video games are varied, and range from intrinsically motivated general game-playing agents to…

Artificial Intelligence · Computer Science 2018-03-28 Christoph Salge , Christian Guckelsberger , Rodrigo Canaan , Tobias Mahlmann

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

We study an efficient implementation of Multi-Armed Bandit (MAB)-based Monte-Carlo Tree Search (MCTS) for classical planning. One weakness of MCTS is that it spends a significant time deciding which node to expand next. While selecting a…

Artificial Intelligence · Computer Science 2025-11-18 Masataro Asai

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

Monte-Carlo Tree Search (MCTS) is one of the most-widely used methods for planning, and has powered many recent advances in artificial intelligence. In MCTS, one typically performs computations (i.e., simulations) to collect statistics…

Artificial Intelligence · Computer Science 2020-11-20 Eren Sezener , Peter Dayan

Advances in intelligent game playing agents have led to successes in perfect information games like Go and imperfect information games like Poker. The Information Set Monte Carlo Tree Search (ISMCTS) family of algorithms outperforms…

Artificial Intelligence · Computer Science 2020-05-15 Jack Reinhardt