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The AlphaZero algorithm has achieved superhuman performance in two-player, deterministic, zero-sum games where perfect information of the game state is available. This success has been demonstrated in Chess, Shogi, and Go where learning…

Artificial Intelligence · Computer Science 2019-12-10 Nick Petosa , Tucker Balch

Constructing agents with planning capabilities has long been one of the main challenges in the pursuit of artificial intelligence. Tree-based planning methods have enjoyed huge success in challenging domains, such as chess and Go, where a…

The AlphaZero algorithm has been successfully applied in a range of discrete domains, most notably board games. It utilizes a neural network, that learns a value and policy function to guide the exploration in a Monte-Carlo Tree Search.…

Artificial Intelligence · Computer Science 2020-12-22 Johannes Czech , Patrick Korus , Kristian Kersting

AlphaZero learns to play go, chess and shogi at a superhuman level through self play given only the rules of the game. This raises the question of whether a similar thing could be done for mathematics -- a MathZero. MathZero would require a…

Logic in Computer Science · Computer Science 2020-05-19 David McAllester

The game of Go has long served as a benchmark for artificial intelligence, demanding sophisticated strategic reasoning and long-term planning. Previous approaches such as AlphaGo and its successors, have predominantly relied on model-based…

Artificial Intelligence · Computer Science 2026-01-08 Jingbin Liu , Xuechun Wang

Recently, AlphaZero has achieved landmark results in deep reinforcement learning, by providing a single self-play architecture that learned three different games at super human level. AlphaZero is a large and complicated system with many…

Artificial Intelligence · Computer Science 2021-01-11 Hui Wang , Mike Preuss , Aske Plaat

Recent achievements from AlphaZero using self-play has shown remarkable performance on several board games. It is plausible to think that self-play, starting from zero knowledge, can gradually approximate a winning strategy for certain…

Artificial Intelligence · Computer Science 2021-01-19 Ruiyang Xu , Karl Lieberherr

AlphaZero is a self-play reinforcement learning algorithm that achieves superhuman play in chess, shogi, and Go via policy iteration. To be an effective policy improvement operator, AlphaZero's search requires accurate value estimates for…

Artificial Intelligence · Computer Science 2023-03-02 Alexandre Trudeau , Michael Bowling

In the past few years, AlphaZero's exceptional capability in mastering intricate board games has garnered considerable interest. Initially designed for the game of Go, this revolutionary algorithm merges deep learning techniques with the…

Artificial Intelligence · Computer Science 2023-09-06 Wen Liang , Chao Yu , Brian Whiteaker , Inyoung Huh , Hua Shao , Youzhi Liang

Game solving is a similar, yet more difficult task than mastering a game. Solving a game typically means to find the game-theoretic value (outcome given optimal play), and optionally a full strategy to follow in order to achieve that…

Artificial Intelligence · Computer Science 2023-11-14 Ti-Rong Wu , Hung Guei , Ting Han Wei , Chung-Chin Shih , Jui-Te Chin , I-Chen Wu

This paper presents MiniZero, a zero-knowledge learning framework that supports four state-of-the-art algorithms, including AlphaZero, MuZero, Gumbel AlphaZero, and Gumbel MuZero. While these algorithms have demonstrated super-human…

Artificial Intelligence · Computer Science 2024-04-29 Ti-Rong Wu , Hung Guei , Pei-Chiun Peng , Po-Wei Huang , Ting Han Wei , Chung-Chin Shih , Yun-Jui Tsai

AlphaZero-like Monte Carlo Tree Search systems, originally introduced for two-player games, dynamically balance exploration and exploitation using neural network guidance. This combination makes them also suitable for classical search…

Machine Learning · Computer Science 2025-11-06 Alexandros Vazaios , Jannis Brugger , Cedric Derstroff , Kristian Kersting , Mira Mezini

Complex sequential decision-making planning problems, covering infinite states' space have been shown to be solvable by AlphaZero type of algorithms. Such an approach that trains a neural model while simulating projection of futures with a…

Artificial Intelligence · Computer Science 2024-08-13 Ronit Bustin , Claudia V. Goldman

Goal-achieving problems are puzzles that set up a specific situation with a clear objective. An example that is well-studied is the category of life-and-death (L&D) problems for Go, which helps players hone their skill of identifying region…

Artificial Intelligence · Computer Science 2024-12-17 Chung-Chin Shih , Ti-Rong Wu , Ting Han Wei , I-Chen Wu

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

The AlphaZero algorithm for the learning of strategy games via self-play, which has produced superhuman ability in the games of Go, chess, and shogi, uses a quantitative reward function for game outcomes, requiring the users of the…

Machine Learning · Computer Science 2019-12-17 Dan Schmidt , Nick Moran , Jonathan S. Rosenfeld , Jonathan Rosenthal , Jonathan Yedidia

The combination of Monte-Carlo tree search (MCTS) with deep reinforcement learning has led to significant advances in artificial intelligence. However, AlphaZero, the current state-of-the-art MCTS algorithm, still relies on handcrafted…

Machine Learning · Computer Science 2020-07-27 Jean-Bastien Grill , Florent Altché , Yunhao Tang , Thomas Hubert , Michal Valko , Ioannis Antonoglou , Rémi Munos

The combination of deep learning and Monte Carlo Tree Search (MCTS) has shown to be effective in various domains, such as board and video games. AlphaGo represented a significant step forward in our ability to learn complex board games, and…

Machine Learning · Computer Science 2021-04-29 Alexandre Borges , Arlindo Oliveira

AlphaZero, an approach to reinforcement learning that couples neural networks and Monte Carlo tree search (MCTS), has produced state-of-the-art strategies for traditional board games like chess, Go, shogi, and Hex. While researchers and…

Artificial Intelligence · Computer Science 2022-11-29 Charles Lovering , Jessica Zosa Forde , George Konidaris , Ellie Pavlick , Michael L. Littman

The game of chess is the most widely-studied domain in the history of artificial intelligence. The strongest programs are based on a combination of sophisticated search techniques, domain-specific adaptations, and handcrafted evaluation…

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