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Monte-Carlo Tree Search (MCTS) methods are drawing great interest after yielding breakthrough results in computer Go. This paper proposes a Bayesian approach to MCTS that is inspired by distributionfree approaches such as UCT [13], yet…

Machine Learning · Computer Science 2012-03-19 Gerald Tesauro , V T Rajan , Richard Segal

Monte Carlo Tree Search (MCTS) is a branch of stochastic modeling that utilizes decision trees for optimization, mostly applied to artificial intelligence (AI) game players. This project imagines a game in which an AI player searches for a…

Machine Learning · Computer Science 2020-12-01 Elana Kozak , Scott Hottovy

Planning problems are among the most important and well-studied problems in artificial intelligence. They are most typically solved by tree search algorithms that simulate ahead into the future, evaluate future states, and back-up those…

Artificial Intelligence · Computer Science 2018-07-18 Arthur Guez , Théophane Weber , Ioannis Antonoglou , Karen Simonyan , Oriol Vinyals , Daan Wierstra , Rémi Munos , David Silver

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

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 one of the most capable online search algorithms for sequential planning tasks, with significant applications in areas such as resource allocation and transit planning. Despite its strong performance in…

Artificial Intelligence · Computer Science 2024-10-31 Ziyan An , Hendrik Baier , Abhishek Dubey , Ayan Mukhopadhyay , Meiyi Ma

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

In this paper, we consider the online computation of a strategy that aims at optimizing the expected average reward in a Markov decision process. The strategy is computed with a receding horizon and using Monte Carlo tree search (MCTS). We…

Computer Science and Game Theory · Computer Science 2020-07-17 Damien Busatto-Gaston , Debraj Chakraborty , Jean-Francois Raskin

Monte Carlo tree search (MCTS) has achieved state-of-the-art results in many domains such as Go and Atari games when combining with deep neural networks (DNNs). When more simulations are executed, MCTS can achieve higher performance but…

Artificial Intelligence · Computer Science 2020-12-16 Li-Cheng Lan , Meng-Yu Tsai , Ti-Rong Wu , I-Chen Wu , Cho-Jui Hsieh

Constrained Markov decision processes (CMDPs), in which the agent optimizes expected payoffs while keeping the expected cost below a given threshold, are the leading framework for safe sequential decision making under stochastic…

Artificial Intelligence · Computer Science 2024-12-19 Martin Kurečka , Václav Nevyhoštěný , Petr Novotný , Vít Unčovský

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

Monte-Carlo Tree Search (MCTS) is a family of sampling-based search algorithms widely used for online planning in sequential decision-making domains and at the heart of many recent advances in artificial intelligence. Understanding the…

Artificial Intelligence · Computer Science 2025-09-25 Yiyu Qian , Tim Miller , Zheng Qian , Liyuan Zhao

Monte Carlo Tree Search (MCTS) is an immensely popular search-based framework used for decision making. It is traditionally applied to domains where a perfect simulation model of the environment is available. We study and improve MCTS in…

Artificial Intelligence · Computer Science 2024-05-24 Farnaz Kohankhaki , Kiarash Aghakasiri , Hongming Zhang , Ting-Han Wei , Chao Gao , Martin Müller

Taking into account future risk is essential for an autonomously operating robot to find online not only the best but also a safe action to execute. In this paper, we build upon the recently introduced formulation of probabilistic…

Artificial Intelligence · Computer Science 2024-11-12 Andrey Zhitnikov , Vadim Indelman

Online planning under uncertainty remains a critical challenge in robotics and autonomous systems. While tree search techniques are commonly employed to construct partial future trajectories within computational constraints, most existing…

Artificial Intelligence · Computer Science 2024-12-24 Michael Novitsky , Moran Barenboim , Vadim Indelman

We present a new Monte Carlo Tree Search (MCTS) algorithm to solve the stochastic orienteering problem with chance constraints, i.e., a version of the problem where travel costs are random, and one is assigned a bound on the tolerable…

Robotics · Computer Science 2024-09-06 Stefano Carpin

The maximum reachability probabilities in a Markov decision process can be computed using value iteration (VI). Recently, simulation-based heuristic extensions of VI have been introduced, such as bounded real-time dynamic programming…

Logic in Computer Science · Computer Science 2018-09-11 Pranav Ashok , Tomáš Brázdil , Jan Křetínský , Ondřej Slámečka

In recent years, state-of-the-art game-playing agents often involve policies that are trained in self-playing processes where Monte Carlo tree search (MCTS) algorithms and trained policies iteratively improve each other. The strongest…

Machine Learning · Computer Science 2019-05-16 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

Making changes to a program to optimize its performance is an unscalable task that relies entirely upon human intuition and experience. In addition, companies operating at large scale are at a stage where no single individual understands…

Machine Learning · Computer Science 2020-05-08 Don M. Dini

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