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Neural Cellular Automata (NCA) represent a powerful framework for modeling biological self-organization, extending classical rule-based systems with trainable, differentiable (or evolvable) update rules that capture the adaptive…

人工智能 · 计算机科学 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez

Cellular Automata (CA) have long been foundational in simulating dynamical systems computationally. With recent innovations, this model class has been brought into the realm of deep learning by parameterizing the CA's update rule using an…

神经与进化计算 · 计算机科学 2023-11-29 Magnus Petersen

Neural Cellular Automata (NCAs) are bio-inspired dynamical systems in which identical cells iteratively apply a learned local update rule to self-organize into complex patterns, exhibiting regeneration, robustness, and spontaneous dynamics.…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Ehsan Pajouheshgar , Yitao Xu , Ali Abbasi , Alexander Mordvintsev , Wenzel Jakob , Sabine Süsstrunk

Inspired by cellular growth and self-organization, Neural Cellular Automata (NCAs) have been capable of "growing" artificial cells into images, 3D structures, and even functional machines. NCAs are flexible and robust computational systems…

神经与进化计算 · 计算机科学 2022-05-16 Shyam Sudhakaran , Elias Najarro , Sebastian Risi

Neural Cellular Automata (NCA) are a powerful combination of machine learning and mechanistic modelling. We train NCA to learn complex dynamics from time series of images and PDE trajectories. Our method is designed to identify underlying…

斑图形成与孤子 · 物理学 2024-04-23 Alex D. Richardson , Tibor Antal , Richard A. Blythe , Linus J. Schumacher

Neural Cellular Automata (NCA) have proven to be effective in a variety of fields, with numerous biologically inspired applications. One of the fields, in which NCAs perform well is the generation of textures, modelling global patterns from…

神经与进化计算 · 计算机科学 2025-11-25 Mirela-Magdalena Catrina , Ioana Cristina Plajer , Alexandra Baicoianu

Neural Cellular Automata (NCA) models are trainable variations of traditional Cellular Automata (CA). Emergent motion in the patterns created by NCA has been successfully applied to synthesize dynamic textures. However, the conditions…

计算机视觉与模式识别 · 计算机科学 2026-01-30 Yitao Xu , Ehsan Pajouheshgar , Sabine Süsstrunk

Neural Cellular Automata (NCAs) have been proven effective in simulating morphogenetic processes, the continuous construction of complex structures from very few starting cells. Recent developments in NCAs lie in the 2D domain, namely…

机器学习 · 计算机科学 2021-06-07 Shyam Sudhakaran , Djordje Grbic , Siyan Li , Adam Katona , Elias Najarro , Claire Glanois , Sebastian Risi

Very recently, the Neural Cellular Automata (NCA) has been proposed to simulate the morphogenesis process with deep networks. NCA learns to grow an image starting from a fixed single pixel. In this work, we show that the neural network (NN)…

神经与进化计算 · 计算机科学 2021-03-03 Alejandro Hernandez Ruiz , Armand Vilalta , Francesc Moreno-Noguer

Most of the Neural Cellular Automata (NCAs) defined in the literature have a common theme: they are based on regular grids with a Moore neighborhood (one-hop neighbour). They do not take into account long-range connections and more complex…

人工智能 · 计算机科学 2026-04-03 Léo Pio-Lopez , Benedikt Hartl , Michael Levin

We introduce Neural Particle Automata (NPA), a Lagrangian generalization of Neural Cellular Automata (NCA) from static lattices to dynamic particle systems. Unlike classical Eulerian NCA where cells are pinned to pixels or voxels, NPA model…

神经与进化计算 · 计算机科学 2026-01-23 Hyunsoo Kim , Ehsan Pajouheshgar , Sabine Süsstrunk , Wenzel Jakob , Jinah Park

Neural Cellular Automata (NCAs) are a model of morphogenesis, capable of growing two-dimensional artificial organisms from a single seed cell. In this paper, we show that NCAs can be trained to respond to signals. Two types of signal are…

神经与进化计算 · 计算机科学 2024-01-30 James Stovold

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…

神经与进化计算 · 计算机科学 2022-02-03 Rasmus Berg Palm , Miguel González-Duque , Shyam Sudhakaran , Sebastian Risi

We propose Neural Cellular Automata (NCA) to simulate the microstructure development during the solidification process in metals. Based on convolutional neural networks, NCA can learn essential solidification features, such as preferred…

材料科学 · 物理学 2023-09-08 Jian Tang , Siddhant Kumar , Laura De Lorenzis , Ehsan Hosseini

Memristors are novel non volatile devices that manage to combine storing and processing capabilities in the same physical place.Their nanoscale dimensions and low power consumption enable the further design of various nanoelectronic…

Neural Cellular Automata (NCA) have shown a remarkable ability to learn the required rules to "grow" images, classify morphologies, segment images, as well as to do general computation such as path-finding. We believe the inductive prior…

人工智能 · 计算机科学 2021-05-18 Alexander Mordvintsev , Eyvind Niklasson , Ettore Randazzo

This paper presents a novel framework using neural cellular automata (NCA) to regenerate and predict geographic information. The model extends the idea of using NCA to generate/regenerate a specific image by training the model with various…

计算机视觉与模式识别 · 计算机科学 2020-09-22 Mingxiang Chen , Qichang Chen , Lei Gao , Yilin Chen , Zhecheng Wang

Rapid advancements in deep learning over the past decade have fueled an insatiable demand for efficient and scalable hardware. Photonics offers a promising solution by leveraging the unique properties of light. However, conventional neural…

Neural Cellular Automata (NCA) models have shown remarkable capacity for pattern formation and complex global behaviors stemming from local coordination. However, in the original implementation of NCA, cells are incapable of adjusting their…

神经与进化计算 · 计算机科学 2023-05-18 Ettore Randazzo , Alexander Mordvintsev , Craig Fouts

Biological systems exhibit remarkable morphogenetic plasticity, where a single genome can encode various specialized cellular structures triggered by local chemical signals. In the domain of Deep Learning, Differentiable Neural Cellular…

神经与进化计算 · 计算机科学 2025-12-10 Ali Sakour
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