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Cellular automata (CA) provide a minimal formalism for investigating how simple local interactions generate rich spatiotemporal behavior in domains as diverse as traffic flow, ecology, tissue morphogenesis and crystal growth. However,…

机器学习 · 计算机科学 2025-06-24 Jaime A. Berkovich , Noah S. David , Markus J. Buehler

This paper introduces Differentiable Logic Cellular Automata (DiffLogic CA), a novel combination of Neural Cellular Automata (NCA) and Differentiable Logic Gates Networks (DLGNs). The fundamental computation units of the model are…

人工智能 · 计算机科学 2025-06-06 Pietro Miotti , Eyvind Niklasson , Ettore Randazzo , Alexander Mordvintsev

Cellular automata (CA) captivate researchers due to teh emergent, complex individualized behavior that simple global rules of interaction enact. Recent advances in the field have combined CA with convolutional neural networks to achieve…

神经与进化计算 · 计算机科学 2023-01-04 Marlene Grieskamp , Chaytan Inman , Shaun Lee

Conway's Game of Life is the best-known cellular automaton. It is a classic model of emergence and self-organization, it is Turing-complete, and it can simulate a universal constructor. The Game of Life belongs to the set of semi-totalistic…

神经与进化计算 · 计算机科学 2021-06-11 Peter D. Turney

Conway's cellular automaton Game of LIFE has been conjectured to be a critical (or quasicritical) dynamical system. This criticality is generally seen as a continuous order-disorder transition in cellular automata (CA) rule space. LIFE's…

统计力学 · 物理学 2014-07-04 Sandro Martinelli Reia , Osame Kinouchi

To test generalization ability of a class of deep neural networks, we randomly generate a large number of different rule sets for 2-D cellular automata (CA), based on John Conway's Game of Life. Using these rules, we compute several…

机器学习 · 计算机科学 2021-11-22 Marcel Aach , Jens Henrik Goebbert , Jenia Jitsev

Recent experiments by Springer and Kenyon have shown that a deep neural network can be trained to predict the action of $t$ steps of Conway's Game of Life automaton given millions of examples of this action on random initial states.…

元胞自动机与格子气 · 物理学 2021-09-08 Veit Elser

Graph generation is a critical task in numerous domains, including molecular design and social network analysis, due to its ability to model complex relationships and structured data. While most modern graph generative models utilize…

机器学习 · 计算机科学 2025-06-04 Xiaohui Chen , Yinkai Wang , Jiaxing He , Yuanqi Du , Soha Hassoun , Xiaolin Xu , Li-Ping Liu

The Game of Life (GoL), one well known 2D cellular automaton, does not typically ensure interesting long-term phenotypic dynamics. Therefore, while being Turing complete, GoL cannot be said to be open-ended. In this work, we extend GoL with…

元胞自动机与格子气 · 物理学 2024-06-21 Aarati Shrestha , Felix Reimers , Sanyam Jain , Paolo Baldini , Michele Braccini , Andrea Roli , Stefano Nichele

We settle two long-standing open problems about Conway's Life, a two-dimensional cellular automaton. We solve the Generalized grandfather problem: for all $n \geq 0$, there exists a configuration that has an $n$th predecessor but not an…

动力系统 · 数学 2022-04-26 Ville Salo , Ilkka Törmä

Generative Pre-trained Transformer (GPT) is a state-of-the-art machine learning model capable of generating human-like text through natural language processing (NLP). GPT is trained on massive amounts of text data and uses deep learning…

Conways Game of Life is a cellular automaton noted for its rich, complex, and emergent behavior, which seems qualitatively lifelike it exists within a wider space of different rule-sets of cellular automata none of which have been found to…

元胞自动机与格子气 · 物理学 2024-10-31 James McCrum , Terence P Kee

The Generative Pre-trained Transformer (GPT) represents a notable breakthrough in the domain of natural language processing, which is propelling us toward the development of machines that can understand and communicate using language in a…

Recent work with Lenia, a continuously-valued cellular automata (CA) framework, has yielded $\sim$100s of compelling, bioreminiscent and mobile patterns. Lenia can be viewed as a continuously-valued generalization of the Game of Life, a…

元胞自动机与格子气 · 物理学 2022-05-24 Q. Tyrell Davis , Josh Bongard

This work presents a generative pre-trained transformer (GPT) designed for modeling financial time series. The GPT functions as an order generation engine within a discrete event simulator, enabling realistic replication of limit order book…

交易与市场微观结构 · 定量金融 2024-11-26 Aaron Wheeler , Jeffrey D. Varner

Generative pretraining (the "GPT" in ChatGPT) enables language models to learn from vast amounts of internet text without human supervision. This approach has driven breakthroughs across AI by allowing deep neural networks to learn from…

神经元与认知 · 定量生物学 2025-09-23 Thomas Serre , Ellie Pavlick

In the domain of autonomous vehicles (AVs), decision-making is a critical factor that significantly influences the efficacy of autonomous navigation. As the field progresses, the enhancement of decision-making capabilities in complex…

机器人学 · 计算机科学 2024-06-21 Jiaqi Liu , Shiyu Fang , Xuekai Liu , Lulu Guo , Peng Hang , Jian Sun

Nuclei classification is a critical step in computer-aided diagnosis with histopathology images. In the past, various methods have employed graph neural networks (GNN) to analyze cell graphs that model inter-cell relationships by…

计算机视觉与模式识别 · 计算机科学 2024-02-21 Wei Lou , Guanbin Li , Xiang Wan , Haofeng Li

Topological Deep Learning seeks to enhance the predictive performance of neural network models by harnessing topological structures in input data. Topological neural networks operate on spaces such as cell complexes and hypergraphs, that…

We investigate a special class of cellular automata (CA) evolving in a environment filled by an electromagnetic wave. The rules of the Conway's Game of Life are modified to account for the ability to retrieve life-sustenance from the field…

光学 · 物理学 2010-03-29 Claudio Conti
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