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Branch-and-bound is a systematic enumerative method for combinatorial optimization, where the performance highly relies on the variable selection strategy. State-of-the-art handcrafted heuristic strategies suffer from relatively slow…

Machine Learning · Computer Science 2022-06-15 Tianyu Zhang , Amin Banitalebi-Dehkordi , Yong Zhang

Strength estimation and adjustment are crucial in designing human-AI interactions, particularly in games where AI surpasses human players. This paper introduces a novel strength system, including a strength estimator (SE) and an SE-based…

Artificial Intelligence · Computer Science 2025-03-24 Chun Jung Chen , Chung-Chin Shih , Ti-Rong Wu

Deep reinforcement learning has shown promise in discrete domains requiring complex reasoning, including games such as Chess, Go, and Hanabi. However, this type of reasoning is less often observed in long-horizon, continuous domains with…

Machine Learning · Computer Science 2022-06-07 Andrew C. Li , Pashootan Vaezipoor , Rodrigo Toro Icarte , Sheila A. McIlraith

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

The article presents the use of Monte Carlo Tree Search algorithms for the card game Lord of the Rings. The main challenge was the complexity of the game mechanics, in which each round consists of 5 decision stages and 2 random stages. To…

Artificial Intelligence · Computer Science 2021-09-28 Konrad Godlewski , Bartosz Sawicki

A commonly used technique for managing AI complexity in real-time strategy (RTS) games is to use action and/or state abstractions. High-level abstractions can often lead to good strategic decision making, but tactical decision quality may…

Artificial Intelligence · Computer Science 2017-09-12 Nicolas A. Barriga , Marius Stanescu , Michael Buro

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

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

Traditional reinforcement learning and planning typically requires vast amounts of data and training to develop effective policies. In contrast, large language models (LLMs) exhibit strong generalization and zero-shot capabilities, but…

Artificial Intelligence · Computer Science 2025-07-30 Jonathan Light , Min Cai , Weiqin Chen , Guanzhi Wang , Xiusi Chen , Wei Cheng , Yisong Yue , Ziniu Hu

Recent years have witnessed significant advances in reinforcement learning (RL), which has registered great success in solving various sequential decision-making problems in machine learning. Most of the successful RL applications, e.g.,…

Machine Learning · Computer Science 2021-04-30 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

Deep reinforcement learning (DRL) has achieved great successes in recent years with the help of novel methods and higher compute power. However, there are still several challenges to be addressed such as convergence to locally optimal…

Machine Learning · Computer Science 2018-12-04 Bilal Kartal , Pablo Hernandez-Leal , Matthew E. Taylor

Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

There exists a broad class of sequencing problems, for example, in proteins and polymers that can be formulated as a heuristic search algorithm that involve decision making akin to a computer game. AI gaming algorithms such as Monte Carlo…

Soft Condensed Matter · Physics 2020-06-08 Tarak K Patra , Troy D. Loeffler , Subramanian K R S Sankaranarayanan

Recent advances in deep reinforcement learning (RL) have led to considerable progress in many 2-player zero-sum games, such as Go, Poker and Starcraft. The purely adversarial nature of such games allows for conceptually simple and…

Developing Large Language Models (LLMs) to cooperate and compete effectively within multi-agent systems (MASs) is a critical step towards more advanced intelligence. While reinforcement learning (RL) has proven effective for enhancing…

Artificial Intelligence · Computer Science 2026-02-13 Huining Yuan , Zelai Xu , Zheyue Tan , Xiangmin Yi , Mo Guang , Kaiwen Long , Haojia Hui , Boxun Li , Xinlei Chen , Bo Zhao , Xiao-Ping Zhang , Chao Yu , Yu Wang

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

Machine Learning · Computer Science 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi

While traditionally a labour intensive task, the testing of game content is progressively becoming more automated. Among the many directions in which this automation is taking shape, automatic play-testing is one of the most promising…

Artificial Intelligence · Computer Science 2021-07-09 Jeppe Theiss Kristensen , Paolo Burelli

Recently, reinforcement learning has been successfully applied to the logical game of Go, various Atari games, and even a 3D game, Labyrinth, though it continues to have problems in sparse reward settings. It is difficult to explore, but…

Artificial Intelligence · Computer Science 2017-03-14 Sungtae Lee , Sang-Woo Lee , Jinyoung Choi , Dong-Hyun Kwak , Byoung-Tak Zhang

This paper gives a detailed review of reinforcement learning (RL) in combinatorial optimization, introduces the history of combinatorial optimization starting in the 1950s, and compares it with the RL algorithms of recent years. This paper…

Machine Learning · Computer Science 2023-10-04 Yunhao Yang , Andrew Whinston

Reinforcement learning has exceeded human-level performance in game playing AI with deep learning methods according to the experiments from DeepMind on Go and Atari games. Deep learning solves high dimension input problems which stop the…

Machine Learning · Computer Science 2019-09-12 Yue Zheng
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