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This paper introduces a new paradigm for minimax game-tree search algo- rithms. MT is a memory-enhanced version of Pearls Test procedure. By changing the way MT is called, a number of best-first game-tree search algorithms can be simply and…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

This paper has three main contributions to our understanding of fixed-depth minimax search: (A) A new formulation for Stockman's SSS* algorithm, based on Alpha-Beta, is presented. It solves all the perceived drawbacks of SSS*, finally…

Artificial Intelligence · Computer Science 2017-02-20 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

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

Most practitioners use a variant of the Alpha-Beta algorithm, a simple depth-first pro- cedure, for searching minimax trees. SSS*, with its best-first search strategy, reportedly offers the potential for more efficient search. However, the…

Artificial Intelligence · Computer Science 2015-05-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

AlphaZero in 2017 was able to master chess and other games without human knowledge by playing millions of games against itself (self-play), with a computation budget running in the tens of millions of dollars. It used a variant of the Monte…

Artificial Intelligence · Computer Science 2025-04-11 Ameya Joshi

In this paper we present TDLeaf(lambda), a variation on the TD(lambda) algorithm that enables it to be used in conjunction with minimax search. We present some experiments in both chess and backgammon which demonstrate its utility and…

Machine Learning · Computer Science 2007-07-16 Jonathan Baxter , Andrew Tridgell , Lex Weaver

Monte Carlo Tree Search (MCTS) has improved the performance of game engines in domains such as Go, Hex, and general game playing. MCTS has been shown to outperform classic alpha-beta search in games where good heuristic evaluations are…

Artificial Intelligence · Computer Science 2014-06-23 Marc Lanctot , Mark H. M. Winands , Tom Pepels , Nathan R. Sturtevant

AlphaZero, using a combination of Deep Neural Networks and Monte Carlo Tree Search (MCTS), has successfully trained reinforcement learning agents in a tabula-rasa way. The neural MCTS algorithm has been successful in finding near-optimal…

Artificial Intelligence · Computer Science 2021-10-12 Prashank Kadam , Ruiyang Xu , Karl Lieberherr

Recently, the seminal algorithms AlphaGo and AlphaZero have started a new era in game learning and deep reinforcement learning. While the achievements of AlphaGo and AlphaZero - playing Go and other complex games at super human level - are…

Machine Learning · Computer Science 2022-09-27 Johannes Scheiermann , Wolfgang Konen

Many of the strongest game playing programs use a combination of Monte Carlo tree search (MCTS) and deep neural networks (DNN), where the DNNs are used as policy or value evaluators. Given a limited budget, such as online playing or during…

Artificial Intelligence · Computer Science 2019-06-03 Li-Cheng Lan , Wei Li , Ting-Han Wei , I-Chen Wu

Many recent deep learning platforms rely on third-party libraries (such as cuBLAS) to utilize the computing power of modern hardware accelerators (such as GPUs). However, we observe that they may achieve suboptimal performance because the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-20 Shaohuai Shi , Pengfei Xu , Xiaowen Chu

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

Given a graph, the minimum dominating set (MinDS) problem is to identify a smallest set $D$ of vertices such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The MinDS problem is a classic $\mathcal{NP}$-hard problem…

Social and Information Networks · Computer Science 2023-08-01 Enqiang Zhu , Yu Zhang , Shengzhi Wang , Darren Strash , Chanjuan Liu

Optimization of searching the best possible action depending on various states like state of environment, system goal etc. has been a major area of study in computer systems. In any search algorithm, searching best possible solution from…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Shubhendra Pal Singhal , M. Sridevi

In recent years, Monte Carlo tree search (MCTS) has achieved widespread adoption within the game community. Its use in conjunction with deep reinforcement learning has produced success stories in many applications. While these approaches…

Artificial Intelligence · Computer Science 2024-04-02 Kimiya Saadat , Richard Zhao

Monte Carlo Tree Search (MCTS) is a relatively new sampling method with multiple variants in the literature. They can be applied to a wide variety of challenging domains including board games, video games, and energy-based problems to…

Artificial Intelligence · Computer Science 2020-10-06 Fred Valdez Ameneyro , Edgar Galvan , Anger Fernando Kuri Morales

The minimum-cost flow (MCF) problem is a fundamental optimization problem with many applications and seems to be well understood. Over the last half century many algorithms have been developed to solve the MCF problem and these algorithms…

Data Structures and Algorithms · Computer Science 2015-05-01 Kamiel Cornelissen , Bodo Manthey

Monte Carlo tree search (MCTS) is extremely popular in computer Go which determines each action by enormous simulations in a broad and deep search tree. However, human experts select most actions by pattern analysis and careful evaluation…

Artificial Intelligence · Computer Science 2017-06-14 Jinzhuo Wang , Wenmin Wang , Ronggang Wang , Wen Gao

Rewrite systems [6, 10, 12] have been widely employing equality saturation [9], which is an optimisation methodology that uses a saturated e-graph to represent all possible sequences of rewrite simultaneously, and then extracts the optimal…

Artificial Intelligence · Computer Science 2023-04-21 Guoliang He , Zak Singh , Eiko Yoneki

Monte Carlo Tree Search (MCTS) algorithms perform simulation-based search to improve policies online. During search, the simulation policy is adapted to explore the most promising lines of play. MCTS has been used by state-of-the-art…

Machine Learning · Computer Science 2019-04-09 Thomas Anthony , Robert Nishihara , Philipp Moritz , Tim Salimans , John Schulman
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