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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…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Caitlin Grasso , Josh Bongard

This paper develops generalizations of empowerment to continuous states. Empowerment is a recently introduced information-theoretic quantity motivated by hypotheses about the efficiency of the sensorimotor loop in biological organisms, but…

Artificial Intelligence · Computer Science 2012-02-01 Tobias Jung , Daniel Polani , Peter Stone

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…

Artificial Intelligence · Computer Science 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez

Neural Cellular Automata (NCAs) offer a way to study the growth of two-dimensional artificial organisms from a single seed cell. From the outset, NCA-grown organisms have had issues with stability, their natural boundary often breaking down…

Neural and Evolutionary Computing · Computer Science 2025-12-11 James Stovold

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…

Pattern Formation and Solitons · Physics 2024-04-23 Alex D. Richardson , Tibor Antal , Richard A. Blythe , Linus J. Schumacher

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…

Artificial Intelligence · Computer Science 2025-06-26 Salvatore Milite , Giulio Caravagna , Andrea Sottoriva

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…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Yitao Xu , Ehsan Pajouheshgar , Sabine Süsstrunk

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…

Artificial Intelligence · Computer Science 2026-04-03 Léo Pio-Lopez , Benedikt Hartl , Michael Levin

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.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Ehsan Pajouheshgar , Yitao Xu , Ali Abbasi , Alexander Mordvintsev , Wenzel Jakob , Sabine Süsstrunk

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…

Neural and Evolutionary Computing · Computer Science 2023-11-29 Magnus Petersen

We propose a lifelong learning architecture, the Neural Computer Agent (NCA), where a Reinforcement Learning agent is paired with a predictive model of the environment learned by a Differentiable Neural Computer (DNC). The agent and DNC…

Machine Learning · Computer Science 2019-06-19 Adeel Mufti , Svetlin Penkov , Subramanian Ramamoorthy

We introduce a methodology for efficiently computing a lower bound to empowerment, allowing it to be used as an unsupervised cost function for policy learning in real-time control. Empowerment, being the channel capacity between actions and…

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

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…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Elias Najarro , Shyam Sudhakaran , Claire Glanois , Sebastian Risi

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…

Neural and Evolutionary Computing · Computer Science 2022-05-16 Shyam Sudhakaran , Elias Najarro , Sebastian Risi

Most classical (non-spiking) neural network models disregard internal neuron dynamics and treat neurons as simple input integrators. However, biological neurons have an internal state governed by complex dynamics that plays a crucial role…

Neural and Evolutionary Computing · Computer Science 2021-06-10 Alexander Hadjiivanov

This study introduces EngramNCA, a neural cellular automaton (NCA) that integrates both publicly visible states and private, cell-internal memory channels, drawing inspiration from emerging biological evidence suggesting that memory storage…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Etienne Guichard , Felix Reimers , Mia Kvalsund , Mikkel Lepperød , Stefano Nichele

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…

Neural and Evolutionary Computing · Computer Science 2026-01-23 Hyunsoo Kim , Ehsan Pajouheshgar , Sabine Süsstrunk , Wenzel Jakob , Jinah Park

Neural Cellular Automata (NCA) is a class of Cellular Automata where the update rule is parameterized by a neural network that can be trained using gradient descent. In this paper, we focus on NCA models used for texture synthesis, where…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Ehsan Pajouheshgar , Yitao Xu , Sabine Süsstrunk

With the rapid growth of the Internet of Things ecosystem, Automatic Modulation Classification (AMC) has become increasingly paramount. However, extended signal lengths offer a bounty of information, yet impede the model's adaptability,…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Yezhuo Zhang , Zinan Zhou , Yichao Cao , Guangyu Li , Xuanpeng Li
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