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Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund

Cellular automata (CA) are dynamical systems defined by a finite local rule but they are studied for their global dynamics. They can exhibit a wide range of complex behaviours and a celebrated result is the existence of (intrinsically)…

Discrete Mathematics · Computer Science 2009-02-10 Laurent Boyer , Guillaume Theyssier

Deep learning has proven to be more effective than other methods in medical image analysis, including the seemingly simple but challenging task of segmenting individual cells, an essential step for many biological studies. Comparative…

Image and Video Processing · Electrical Eng. & Systems 2023-11-07 Valentina Vadori , Antonella Peruffo , Jean-Marie Graïc , Livio Finos , Livio Corain , Enrico Grisan

Graph-Rewriting Automata (GRA) are an extension of Cellular Automata to a dynamic structure using local graph-rewriting rules. This work introduces linear algebra based tools that allow for a practical investigation of their behavior in…

Dynamical Systems · Mathematics 2025-11-11 Paul Cousin , Aude Maignan

In biological evolution complex neural structures grow from a handful of cellular ingredients. As genomes in nature are bounded in size, this complexity is achieved by a growth process where cells communicate locally to decide whether to…

Neural and Evolutionary Computing · Computer Science 2024-05-15 Eleni Nisioti , Erwan Plantec , Milton Montero , Joachim Winther Pedersen , Sebastian Risi

Neural architectures inspired by our own human cognitive system, such as the recently introduced world models, have been shown to outperform traditional deep reinforcement learning (RL) methods in a variety of different domains. Instead of…

Neural and Evolutionary Computing · Computer Science 2019-06-24 Sebastian Risi , Kenneth O. Stanley

The generation of sustained, open-ended complexity from local interactions remains a fundamental challenge in artificial life. Differentiable multi-agent systems, such as Petri Dish Neural Cellular Automata (PD-NCA), exhibit rich…

Neural and Evolutionary Computing · Computer Science 2026-04-14 Uljad Berdica , Jakob Foerster , Frank Hutter , Arber Zela

This works proposes a methodology to searching for automatically Artificial Neural Networks (ANN) by using Cellular Genetic Algorithm (CGA). The goal of this methodology is to find compact networks whit good performance for classification…

Neural and Evolutionary Computing · Computer Science 2021-07-20 Anderson da Silva , Teresa Ludermir

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

Machine Learning · Statistics 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

This paper studies the number conservation property of 1-dimensional non-uniform cellular automata (CAs). In a non-uniform cellular automaton (CA), different cells may follow different rules. The present work considers that the cells follow…

Formal Languages and Automata Theory · Computer Science 2016-04-25 Raju Hazari , Sukanta Das

We introduce a new framework for constructing topological quantum memories, by recasting error recovery as a dynamical process on a field generating cellular automaton. We envisage quantum systems controlled by a classical hardware composed…

Quantum Physics · Physics 2015-10-28 Michael Herold , Earl T. Campbell , Jens Eisert , Michael J. Kastoryano

Learning editable high-resolution scene representations for dynamic scenes is an open problem with applications across the domains from autonomous driving to creative editing - the most successful approaches today make a trade-off between…

The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the…

Neurons and Cognition · Quantitative Biology 2009-11-10 Luciano da Fontoura Costa , Regina Celia Coelho

Pathfinding makes up an important sub-component of a broad range of complex tasks in AI, such as robot path planning, transport routing, and game playing. While classical algorithms can efficiently compute shortest paths, neural networks…

Machine Learning · Computer Science 2023-01-18 Sam Earle , Ozlem Yildiz , Julian Togelius , Chinmay Hegde

Cellular automata generate spatially extended, temporally persistent emergent structures from local update rules. No general method derives the mechanisms of that generation from the rule itself; existing tools reconstruct structure from…

Cellular Automata and Lattice Gases · Physics 2026-04-02 Manuel Pita

The essential ingredient for studying the phenomena of emergence is the ability to generate and manipulate emergent systems that span large scales. Cellular automata are the model class particularly known for their effective scalability but…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Sina Khajehabdollahi , Emmanouil Giannakakis , Victor Buendia , Georg Martius , Anna Levina

We introduce our GraftalLace Cellular Automaton in short GLCA which is a new one-dimensional cellular automaton on the regular square lattice. It makes a monochromatic infinite directed graph otherwise an octal number triangle or number…

Cellular Automata and Lattice Gases · Physics 2018-05-30 András Kaszanyitzky

Noise in the local transition function is compared to fluctuations in the updating times of the cells. Obtained results are shown to be quite different in both cases. In this extended abstract we briefly explain the problem and present…

Cellular Automata and Lattice Gases · Physics 2016-08-16 Luís Correia , Thomas Wehrle

The rapid advancement of neural network applications necessitates hardware that not only accelerates computation but also adapts efficiently to dynamic processing requirements. While processing-in-pixel has emerged as a promising solution…

Hardware Architecture · Computer Science 2024-08-21 Zihan Yin , Akhilesh Jaiswal

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Barbora Hudcová , Tomáš Mikolov