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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

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 (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

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 (NCAs) are a promising new approach to model self-organizing processes, with potential applications in life science. However, their deterministic nature limits their ability to capture the stochasticity of…

人工智能 · 计算机科学 2025-06-26 Salvatore Milite , Giulio Caravagna , Andrea Sottoriva

This paper presents a rotation-invariant embedded platform for simulating (neural) cellular automata (NCA) in modular robotic systems. Inspired by previous work on physical NCA, we introduce key innovations that overcome limitations in…

神经与进化计算 · 计算机科学 2025-10-10 Dominik Woiwode , Jakob Marten , Bodo Rosenhahn

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

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

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…

图像与视频处理 · 电气工程与系统科学 2024-03-26 Andrea Menta , Alberto Archetti , Matteo Matteucci

Despite substantial research into the biological basis of memory, the precise mechanisms by which experiences are encoded, stored, and retrieved in the brain remain incompletely understood. A growing body of evidence supports the engram…

神经与进化计算 · 计算机科学 2025-10-28 Daniel Szelogowski

Modeling the ability of multicellular organisms to build and maintain their bodies through local interactions between individual cells (morphogenesis) is a long-standing challenge of developmental biology. Recently, the Neural Cellular…

神经与进化计算 · 计算机科学 2022-06-02 Alexander Mordvintsev , Ettore Randazzo , Craig Fouts

In contrast to deep reinforcement learning agents, biological neural networks are grown through a self-organized developmental process. Here we propose a new hypernetwork approach to grow artificial neural networks based on neural cellular…

神经与进化计算 · 计算机科学 2022-04-26 Elias Najarro , Shyam Sudhakaran , Claire Glanois , 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

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

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…

计算机视觉与模式识别 · 计算机科学 2022-11-03 Mattie Tesfaldet , Derek Nowrouzezahrai , Christopher Pal

Information-theoretic fitness functions are becoming increasingly popular to produce generally useful, task-independent behaviors. One such universal function, dubbed empowerment, measures the amount of control an agent exerts on its…

神经与进化计算 · 计算机科学 2024-07-30 Caitlin Grasso , Josh Bongard

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

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

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
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