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Classical Cellular Automata (CCAs) are a powerful computational framework widely used to model complex systems driven by local interactions. Their simplicity lies in the use of a finite set of states and a uniform local rule, yet this…

Cellular Automata and Lattice Gases · Physics 2025-03-20 Enrico Formenti , Faizal Hafiz , Amelia Kunze , Davide La Torre

In Distributed Manipulator Systems (DMS), decentralization is a highly desirable property as it promotes robustness and facilitates scalability by distributing computational burden and eliminating singular points of failure. However,…

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

Continual learning (CL) in medical imaging presents a unique challenge, requiring models to adapt to new domains while retaining previously acquired knowledge. We introduce NCAdapt, a Neural Cellular Automata (NCA) based method designed to…

Image and Video Processing · Electrical Eng. & Systems 2024-11-01 Amin Ranem , John Kalkhof , Anirban Mukhopadhyay

In the field of medical imaging, the U-Net architecture, along with its variants, has established itself as a cornerstone for image segmentation tasks, particularly due to its strong performance when trained on limited datasets. Despite its…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Steven Korevaar , Ruwan Tennakoon , Alireza Bab-Hadiashar

Saliency detection, finding the most important parts of an image, has become increasingly popular in computer vision. In this paper, we introduce Hierarchical Cellular Automata (HCA) -- a temporally evolving model to intelligently detect…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Yao Qin , Mengyang Feng , Huchuan Lu , Garrison W. Cottrell

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…

Artificial Intelligence · Computer Science 2025-06-06 Pietro Miotti , Eyvind Niklasson , Ettore Randazzo , Alexander Mordvintsev

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly complex phenomena. Despite the model's theoretical maturity and…

Cellular Automata and Lattice Gases · Physics 2025-07-10 Michiel Rollier , Kallil M. C. Zielinski , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens

We present a method of generating diverse collections of neural cellular automata (NCA) to design video game levels. While NCAs have so far only been trained via supervised learning, we present a quality diversity (QD) approach to…

Neural and Evolutionary Computing · Computer Science 2022-02-21 Sam Earle , Justin Snider , Matthew C. Fontaine , Stefanos Nikolaidis , Julian Togelius

A one-dimensional two-state number-conserving cellular automaton (NCCA) is a cellular automaton whose states are 0 or 1 and where cells take states 0 and 1 and updated their states by the rule which keeps overall sum of states constant. It…

Cellular Automata and Lattice Gases · Physics 2019-10-21 Gil-Tak Kong , Katsunobu Imai , Toru Nakanashi

Vision Transformers (ViTs) demonstrate remarkable performance in image classification through visual-token interaction learning, particularly when equipped with local information via region attention or convolutions. Although such…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Yitao Xu , Tong Zhang , Sabine Süsstrunk

We propose a new frontier: Neural Computers (NCs) that unify computation, memory, and I/O of traditional computers in a learned runtime state. Our long-term goal is the Completely Neural Computer (CNC): the mature, general-purpose…

We describe a class of cellular automata (CAs) that are end-to-end differentiable. DCAs interpolate the behavior of ordinary CAs through rules that act on distributions of states. The gradient of a DCA with respect to its parameters can be…

Discrete Mathematics · Computer Science 2017-09-01 Carlos Martin

Locally interacting dynamical systems, such as epidemic spread, rumor propagation through crowd, and forest fire, exhibit complex global dynamics originated from local, relatively simple, and often stochastic interactions between dynamic…

Systems and Control · Electrical Eng. & Systems 2024-05-29 Beomseok Kang , Harshit Kumar , Minah Lee , Biswadeep Chakraborty , Saibal Mukhopadhyay

Cellular automata (CA), originally developed as computational models of natural processes, have become a central subject in the study of complex systems and generative visual forms. Among them, the Ulam-Warburton Cellular Automaton (UWCA)…

Cellular Automata and Lattice Gases · Physics 2026-01-28 Chung-En Hao , Ivan C. H. Liu

In this work, we investigate the computational aspects of asynchronous cellular automata (ACAs), a modification of cellular automata in which cells update independently, following an asynchronous schedule. We introduce flip automata…

Formal Languages and Automata Theory · Computer Science 2025-10-20 Ivan Baburin , Matthew Cook , Florian Grötschla , Andreas Plesner , Roger Wattenhofer

Medical image segmentation relies heavily on large-scale deep learning models, such as UNet-based architectures. However, the real-world utility of such models is limited by their high computational requirements, which makes them…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 John Kalkhof , Anirban Mukhopadhyay

Cellular automata are capable of developing complex behaviors based on simple local interactions between their elements. Some of these characteristics have been used to propose and improve meta-heuristics for global optimization; however,…

Non-uniform cellular automata (NUCA) are an extension of cellular automata (CA), which transform cells according to multiple different local rules. A NUCA is defined by a configuration of local rules called a local rule distribution. We…

Dynamical Systems · Mathematics 2025-07-10 Katariina Paturi

Synthetic contrast enhancement offers fast image acquisition and eliminates the need for intravenous injection of contrast agent. This is particularly beneficial for breast imaging, where long acquisition times and high cost are…

Image and Video Processing · Electrical Eng. & Systems 2025-06-24 Daniel M. Lang , Richard Osuala , Veronika Spieker , Karim Lekadir , Rickmer Braren , Julia A. Schnabel