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Related papers: Ordinal Monte Carlo Tree Search

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Recent advances in reasoning with large language models (LLMs) have shown the effectiveness of Monte Carlo Tree Search (MCTS) for generating high quality intermediate trajectories, particularly in math and symbolic domains. Inspired by…

Artificial Intelligence · Computer Science 2025-12-23 Bingning Huang , Tu Nguyen , Matthieu Zimmer

One of the most important AI research questions is to trade off computation versus performance since ``perfect rationality" exists in theory but is impossible to achieve in practice. Recently, Monte-Carlo tree search (MCTS) has attracted…

Artificial Intelligence · Computer Science 2022-10-25 Weirui Ye , Pieter Abbeel , Yang Gao

Monte-Carlo tree search (MCTS) is an effective anytime algorithm with a vast amount of applications. It strategically allocates computational resources to focus on promising segments of the search tree, making it a very attractive search…

Artificial Intelligence · Computer Science 2024-02-14 Cedric Derstroff , Jannis Brugger , Jannis Blüml , Mira Mezini , Stefan Kramer , Kristian Kersting

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

UCT, a state-of-the art algorithm for Monte Carlo tree search (MCTS) in games and Markov decision processes, is based on UCB1, a sampling policy for the Multi-armed Bandit problem (MAB) that minimizes the cumulative regret. However, search…

Artificial Intelligence · Computer Science 2012-07-25 David Tolpin , Solomon Eyal Shimony

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 MCTS statistical tree is built and the selection policy plays a fundamental role in this. A…

Artificial Intelligence · Computer Science 2023-02-08 Fred Valdez Ameneyro , Edgar Galvan

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

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

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

Monte Carlo Tree Search (MCTS) is an effective test-time compute scaling (TTCS) method for improving the reasoning performance of large language models, but its highly variable execution time leads to severe long-tail latency in practice.…

Artificial Intelligence · Computer Science 2026-04-02 Hongbeen Kim , Juhyun Lee , Sanghyeon Lee , Kwanghoon Choi , Jaehyuk Huh

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

In many games, moves consist of several decisions made by the player. These decisions can be viewed as separate moves, which is already a common practice in multi-action games for efficiency reasons. Such division of a player move into a…

Artificial Intelligence · Computer Science 2021-12-16 Jakub Kowalski , Maksymilian Mika , Wojciech Pawlik , Jakub Sutowicz , Marek Szykuła , Mark H. M. Winands

We propose SC-MCTS*: a novel Monte Carlo Tree Search (MCTS) reasoning algorithm for Large Language Models (LLMs), significantly improves both reasoning accuracy and speed. Our motivation comes from: 1. Previous MCTS LLM reasoning works…

Computation and Language · Computer Science 2024-12-30 Zitian Gao , Boye Niu , Xuzheng He , Haotian Xu , Hongzhang Liu , Aiwei Liu , Xuming Hu , Lijie Wen

Monte Carlo Tree Search (MCTS) has shown its strength for a lot of deterministic and stochastic examples, but literature lacks reports of applications to real world industrial processes. Common reasons for this are that there is no…

Artificial Intelligence · Computer Science 2021-08-05 Dorina Weichert , Felix Horchler , Alexander Kister , Marcus Trost , Johannes Hartung , Stefan Risse

In this paper, we present a simple and cheap ordinal bucketing algorithm that approximately generates $q$-quantiles from an incremental data stream. The bucketing is done dynamically in the sense that the amount of buckets $q$ increases…

Artificial Intelligence · Computer Science 2020-12-09 Tobias Joppen , Tilman Strübig , Johannes Fürnkranz

We investigate the impact of supervised prediction models on the strength and efficiency of artificial agents that use the Monte-Carlo Tree Search (MCTS) algorithm to play a popular video game Hearthstone: Heroes of Warcraft. We overview…

Artificial Intelligence · Computer Science 2018-08-15 Maciej Świechowski , Tomasz Tajmajer , Andrzej Janusz

Monte Carlo Tree Search (MCTS) is a sampling best-first method to search for optimal decisions. The MCTS's popularity is based on its extraordinary results in the challenging two-player based game Go, a game considered much harder than…

Neural and Evolutionary Computing · Computer Science 2021-12-21 Edgar Galván , Gavin Simpson

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

This paper introduces Monte Carlo *-Minimax Search (MCMS), a Monte Carlo search algorithm for turned-based, stochastic, two-player, zero-sum games of perfect information. The algorithm is designed for the class of of densely stochastic…

Computer Science and Game Theory · Computer Science 2013-04-23 Marc Lanctot , Abdallah Saffidine , Joel Veness , Christopher Archibald , Mark H. M. Winands

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