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As Neural Cellular Automata (NCAs) are increasingly applied outside of the toy models in Artificial Life, there is a pressing need to understand how they behave and to build appropriate routes to interpret what they have learnt. By their…

Neural and Evolutionary Computing · Computer Science 2026-04-14 James Stovold , Mia-Katrin Kvalsund , Harald Michael Ludwig , Varun Sharma , Alexander Mordvintsev

New computational tools for solid-state synthesis recipe design are needed in order to accelerate the experimental realization of novel functional materials proposed by high-throughput materials discovery workflows. This work contributes a…

Materials Science · Physics 2024-07-30 Max C. Gallant , Matthew J. McDermott , Bryant Li , Kristin A. Persson

Computational experiments are exploited in finding a well-designed processing path to optimize material structures for desired properties. This requires understanding the interplay between the processing-(micro)structure-property linkages…

Computational Engineering, Finance, and Science · Computer Science 2023-05-04 Junrong Lin , Mahmudul Hasan , Pinar Acar , Jose Blanchet , Vahid Tarokh

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Jean-Baptiste Rouquier , Michel Morvan

Emergent processes in complex systems such as cellular automata can perform computations of increasing complexity, and could possibly lead to artificial evolution. Such a feat would require scaling up current simulation sizes to allow for…

Cellular Automata and Lattice Gases · Physics 2021-04-05 Hugo Cisneros , Josef Sivic , Tomas Mikolov

The problem of generating microstructures of complex materials in silico has been approached from various directions including simulation, Markov, deep learning and descriptor-based approaches. This work presents a hybrid method that is…

Quantum-dot cellular automata (QCAs) offer a diffusive computing paradigm with picosecond transmission speed, making them an ideal candidate for moving diffusive computing to real-world applications. By implementing a trainable associative…

Emerging Technologies · Computer Science 2019-01-07 James Stovold

We study the problem of example-based procedural texture synthesis using highly compact models. Given a sample image, we use differentiable programming to train a generative process, parameterised by a recurrent Neural Cellular Automata…

Machine Learning · Computer Science 2021-11-29 Alexander Mordvintsev , Eyvind Niklasson

Cellular automata have long been celebrated for their ability to generate complex behaviors from simple, local rules, with well-known discrete models like Conway's Game of Life proven capable of universal computation. Recent advancements…

Machine Learning · Computer Science 2025-05-22 Gabriel Béna , Maxence Faldor , Dan F. M. Goodman , Antoine Cully

Neural cellular automata represent an evolution of the traditional cellular automata model, enhanced by the integration of a deep learning-based transition function. This shift from a manual to a data-driven approach significantly increases…

Image and Video Processing · Electrical Eng. & Systems 2024-03-26 Andrea Menta , Alberto Archetti , Matteo Matteucci

We present ongoing work on a tool that consists of two parts: (i) A raw micro-level abstract world simulator with an interface to (ii) a 3D game engine, translator of raw abstract simulator data to photorealistic graphics. Part (i)…

Multiagent Systems · Computer Science 2017-11-22 Olivier Van Acker , Oded Lachish , Graeme Burnett

Cellular Automata (CA) theory is a discrete model that represents the state of each of its cells from a finite set of possible values which evolve in time according to a pre-defined set of transition rules. CA have been applied to a number…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Karttikeya Mangalam , K S Venkatesh

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

Materials Science · Physics 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

Cellular Automata and Lattice Gases · Physics 2025-06-02 Markus Redeker

Neural Cellular Automata (NCA) offer a robust and interpretable approach to image classification, making them a promising choice for microscopy image analysis. However, a performance gap remains between NCA and larger, more complex…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Chen Yang , Michael Deutges , Jingsong Liu , Han Li , Nassir Navab , Carsten Marr , Ario Sadafi

Cellular automata (CA) models are widely used to simulate complex systems with emergent behaviors, but identifying hidden parameters that govern their dynamics remains a significant challenge. This study explores the use of Convolutional…

Machine Learning · Computer Science 2025-03-05 Valery Ashu , Zhisong Liu , Heikki Haario , Andreas Rupp

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-12-13 Jean-Baptiste Rouquier , Michel Morvan

In this dissertation, we study temporally stochasticity in cellular automata and the behavior of such cellular automata. The work also explores the computational ability of such cellular automaton that illustrates the computability of…

Cellular Automata and Lattice Gases · Physics 2022-10-26 Subrata Paul

In nature, the process of cellular growth and differentiation has lead to an amazing diversity of organisms -- algae, starfish, giant sequoia, tardigrades, and orcas are all created by the same generative process. Inspired by the incredible…

Neural and Evolutionary Computing · Computer Science 2022-02-03 Rasmus Berg Palm , Miguel González-Duque , Shyam Sudhakaran , Sebastian Risi

Recent extensions of Cellular Automata (CA) have incorporated key ideas from modern deep learning, dramatically extending their capabilities and catalyzing a new family of Neural Cellular Automata (NCA) techniques. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Mattie Tesfaldet , Derek Nowrouzezahrai , Christopher Pal