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Related papers: Memory and long-range correlations in chess games

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We investigate the look-ahead capabilities of chess-playing neural networks, specifically focusing on the Leela Chess Zero policy network. We build on the work of Jenner et al. (2024) by analyzing the model's ability to consider future…

Artificial Intelligence · Computer Science 2025-05-29 Diogo Cruz

A new approach to describing correlation properties of complex dynamic systems with long-range memory based on a concept of additive Markov chains (Phys. Rev. E 68, 061107 (2003)) is developed. An equation connecting a memory function of…

Classical Physics · Physics 2007-05-23 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii

Spatial evolutionary games provide a valuable framework for elucidating the emergence and maintenance of cooperative behavior. However, most previous studies assume that individuals are profiteers and neglect to consider the effects of…

Computer Science and Game Theory · Computer Science 2025-11-25 Bin Pi , Minyu Feng , Liang-Jian Deng

We study stochastic differential games with $N$ players, where interactions are determined by sequences of graphs in which the number of neighbours of each node remains bounded as $N$ grows, such as chain graphs or lattices. Our main goal…

Analysis of PDEs · Mathematics 2026-05-01 Marco Cirant , Davide Francesco Redaelli

The presence or absence of winner-loser effects is a widely discussed phenomenon across both sports and psychology research. Investigation of such effects is often hampered by the limited availability of data. Online chess has exploded in…

Applications · Statistics 2025-08-12 Adam Gee , Sydney O. Seese , James P. Curley , Owen G. Ward

Hundreds of years after its creation, the game of chess is still widely played worldwide. Opening Theory is one of the pillars of chess and requires years of study to be mastered. Here we exploit the "wisdom of the crowd" in an online chess…

Physics and Society · Physics 2022-07-26 Giordano De Marzo , Vito DP Servedio

We study strategic similarity of game positions in two-player extensive games of perfect information, by looking at the structure of their local game trees, with the aim of improving the performance of game playing agents in detecting…

Artificial Intelligence · Computer Science 2019-02-26 Sabrina Evans , Paolo Turrini

In this article, we review recent Deep Learning advances in the context of how they have been applied to play different types of video games such as first-person shooters, arcade games, and real-time strategy games. We analyze the unique…

Artificial Intelligence · Computer Science 2019-02-19 Niels Justesen , Philip Bontrager , Julian Togelius , Sebastian Risi

We study a game where one player selects a random function, and the other has to guess that function, and show that with high probability the second player can correctly guess most of the random function. We apply this analysis to…

Optimization and Control · Mathematics 2023-11-28 Catherine Rainer , Eilon Solan

The complexity of human interactions with social and natural phenomena is mirrored in the way we describe our experiences through natural language. In order to retain and convey such a high dimensional information, the statistical…

Data Analysis, Statistics and Probability · Physics 2013-04-09 Eduardo G. Altmann , Giampaolo Cristadoro , Mirko Degli Esposti

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin

Memory plays a pivotal role in enabling large language model~(LLM)-based agents to engage in complex and long-term interactions, such as question answering (QA) and dialogue systems. While various memory modules have been proposed for these…

Computation and Language · Computer Science 2024-12-23 Ruihong Zeng , Jinyuan Fang , Siwei Liu , Zaiqiao Meng

Complex social behaviors lie at the heart of many of the challenges facing evolutionary biology, sociology, economics, and beyond. For evolutionary biologists in particular the question is often how such behaviors can arise \textit{de novo}…

Populations and Evolution · Quantitative Biology 2015-11-18 Alexander J. Stewart , Joshua B. Plotkin

Reinforcement learning (RL) agents performing complex tasks must be able to remember observations and actions across sizable time intervals. This is especially true during the initial learning stages, when exploratory behaviour can increase…

Machine Learning · Computer Science 2018-05-15 Thomas Stepleton , Razvan Pascanu , Will Dabney , Siddhant M. Jayakumar , Hubert Soyer , Remi Munos

Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we…

Physics and Society · Physics 2023-03-17 Luca Gallo , Lucas Lacasa , Vito Latora , Federico Battiston

League of Legends (LoL) is the most widely played multiplayer online battle arena (MOBA) game in the world. An important aspect of LoL is competitive ranked play, which utilizes a skill-based matchmaking system to form fair teams. However,…

Machine Learning · Computer Science 2021-08-09 Tiffany D. Do , Seong Ioi Wang , Dylan S. Yu , Matthew G. McMillian , Ryan P. McMahan

Long-term planning, as in reinforcement learning (RL), involves finding strategies: actions that collectively work toward a goal rather than individually optimizing their immediate outcomes. As part of a strategy, some actions are taken at…

Machine Learning · Computer Science 2025-05-23 Alihan Hüyük , Finale Doshi-Velez

Player modelling is the field of study associated with understanding players. One pursuit in this field is affect prediction: the ability to predict how a game will make a player feel. We present novel improvements to affect prediction by…

Human-Computer Interaction · Computer Science 2022-12-08 Natalie Bombardieri , Matthew Guzdial

Increasing evidence suggests that cortical dynamics during wake exhibits long-range temporal correlations suitable to integrate inputs over extended periods of time to increase the signal-to-noise ratio in decision-making and working memory…

Neurons and Cognition · Quantitative Biology 2017-06-14 Christian Meisel , Andreas Klaus , Vladyslav V. Vyazovskiy , Dietmar Plenz

Ranking athletes by their performance in competitions and tournaments is common in every popular sport and has significant benefits that contribute to both the organization and strategic aspects of competitions. Although rankings are…

Physics and Society · Physics 2025-08-28 Bogdán Asztalos , Boldizsár Balázs , Gergely Palla , Tamás Vicsek