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Related papers: Flow-Lenia: Emergent evolutionary dynamics in mass…

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The design of complex self-organising systems producing life-like phenomena, such as the open-ended evolution of virtual creatures, is one of the main goals of artificial life. Lenia, a family of cellular automata (CA) generalizing Conway's…

Neural and Evolutionary Computing · Computer Science 2023-03-27 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Pierre-Yves Oudeyer , Clément Moulin-Frier , Bert Wang-Chak Chan

We present a method for the automated discovery of system-level dynamics in Flow-Lenia--a continuous cellular automaton (CA) with mass conservation and parameter localization-using a curiosity--driven AI scientist. This method aims to…

Artificial Intelligence · Computer Science 2026-01-30 Thomas Michel , Marko Cvjetko , Gautier Hamon , Pierre-Yves Oudeyer , Clément Moulin-Frier

We report a new system of artificial life called Lenia (from Latin lenis "smooth"), a two-dimensional cellular automaton with continuous space-time-state and generalized local rule. Computer simulations show that Lenia supports a great…

Cellular Automata and Lattice Gases · Physics 2021-07-12 Bert Wang-Chak Chan

We report experimental extensions of Lenia, a continuous cellular automata family capable of producing lifelike self-organizing autonomous patterns. The rule of Lenia was generalized into higher dimensions, multiple kernels, and multiple…

Cellular Automata and Lattice Gases · Physics 2021-07-12 Bert Wang-Chak Chan

Substantial efforts have been applied to engineer CA with desired emergent properties, such as supporting gliders. Recent work in continuous CA has generated a wide variety of compelling bioreminiscent patterns, and the expansion of CA…

Neural and Evolutionary Computing · Computer Science 2022-05-25 Q. Tyrell Davis , Josh Bongard

Inspired by biological and cultural evolution, there have been many attempts to explore and elucidate the necessary conditions for open-endedness in artificial intelligence and artificial life. Using a continuous cellular automata called…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Bert Wang-Chak Chan

Artificial life aims to understand the fundamental principles of biological life by creating computational models that exhibit life-like properties. Although artificial life systems show promise for simulating biological evolution,…

Neural and Evolutionary Computing · Computer Science 2025-06-04 Niko Lorantos , Lee Spector

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

Cellular Automata and Lattice Gases · Physics 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

This research project investigates Lenia, an artificial life platform that simulates ecosystems of digital creatures. Lenia's ecosystem consists of simple, artificial organisms that can move, consume, grow, and reproduce. The platform is…

Neural and Evolutionary Computing · Computer Science 2023-08-11 Sanyam Jain , Aarati Shrestha , Stefano Nichele

From the formation of snowflakes to the evolution of diverse life forms, emergence is ubiquitous in our universe. In the quest to understand how complexity can arise from simple rules, abstract computational models, such as cellular…

Neural and Evolutionary Computing · Computer Science 2024-06-07 Maxence Faldor , Antoine Cully

Recent work with Lenia, a continuously-valued cellular automata (CA) framework, has yielded $\sim$100s of compelling, bioreminiscent and mobile patterns. Lenia can be viewed as a continuously-valued generalization of the Game of Life, a…

Cellular Automata and Lattice Gases · Physics 2022-05-24 Q. Tyrell Davis , Josh Bongard

Like Life, Lenia CA support a range of patterns that move, interact with their environment, and/or are modified by said interactions. These patterns maintain a cohesive, self-organizing morphology, i.e. they exemplify autopoiesis, the…

Cellular Automata and Lattice Gases · Physics 2024-08-01 Q. Tyrell Davis

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

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

Neuro-inspired models and systems have great potential for applications in unconventional computing. Often, the mechanisms of biological neurons are modeled or mimicked in simulated or physical systems in an attempt to harness some of the…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Jørgen Jensen Farner , Håkon Weydahl , Ruben Jahren , Ola Huse Ramstad , Stefano Nichele , Kristine Heiney

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

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

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,…

Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions about how neural networks encode and represent dynamical rules.…

Cellular Automata and Lattice Gases · Physics 2020-01-20 William Gilpin

One key challenge in Artificial Life is designing systems that display an emergence of complex behaviors. Many such systems depend on a high-dimensional parameter space, only a small subset of which displays interesting dynamics. Focusing…

Adaptation and Self-Organizing Systems · Physics 2024-03-11 Vassilis Papadopoulos , Guilhem Doat , Arthur Renard , Clément Hongler
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