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Related papers: Capturing Emerging Complexity in Lenia

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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

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

Central to the artificial life endeavour is the creation of artificial systems spontaneously generating properties found in the living world such as autopoiesis, self-replication, evolution and open-endedness. While numerous models and…

Cellular Automata and Lattice Gases · Physics 2025-06-11 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Bert Wang-Chak Chan , Pierre-Yves Oudeyer , Clément Moulin-Frier

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

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

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

We explore how physical scale and population size shape the emergence of complex behaviors in open-ended ecological environments. In our setting, agents are unsupervised and have no explicit rewards or learning objectives but instead evolve…

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

In this paper we propose an approach for measuring growth of complexity of emerging patterns in complex systems such as cellular automata. We discuss several ways how a metric for measuring the complexity growth can be defined. This…

Cellular Automata and Lattice Gases · Physics 2022-07-22 Hugo Cisneros , Josef Sivic , Tomas Mikolov

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

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

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

Evolution, the engine behind the survival and growth of life on Earth, operates through the population-based process of reproduction. Inspired by this principle, this paper formally defines a newly emerging problem -- the population-based…

Computation and Language · Computer Science 2025-03-10 Yiqun Zhang , Peng Ye , Xiaocui Yang , Shi Feng , Shufei Zhang , Lei Bai , Wanli Ouyang , Shuyue Hu

A common assumption in evolutionary thought is that adaptation drives an increase in biological complexity. However, the rules governing evolution of complexity appear more nuanced. Evolution is deeply connected to learning, where…

Populations and Evolution · Quantitative Biology 2025-08-06 Hagai Rappeport , Mor Nitzan

Evolution is the theory that plants and animals today have come from kinds that have existed in the past. Scientists such as Charles Darwin and Alfred Wallace dedicate their life to observe how species interact with their environment, grow,…

Neural and Evolutionary Computing · Computer Science 2022-09-16 Manasa Josyula

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

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

Observations are an essential component of the simulation based studies on artificial-evolutionary systems (AES) by which entities are identified and their behavior is observed to uncover higher-level "emergent" phenomena. Because of the…

Neural and Evolutionary Computing · Computer Science 2018-08-13 Janardan Misra

Understanding the mechanisms behind emergent behaviors in multi-agent systems is critical for advancing fields such as swarm robotics and artificial intelligence. In this study, we investigate how neural networks evolve to control agents'…

Adaptation and Self-Organizing Systems · Physics 2024-10-28 Guilherme S. Y. Giardini , John F. Hardy , Carlo R. da Cunha

Evolution gave rise to human and animal intelligence here on Earth. We argue that the path to developing artificial human-like-intelligence will pass through mimicking the evolutionary process in a nature-like simulation. In Nature, there…

Artificial Intelligence · Computer Science 2020-05-07 João P. Abrantes , Arnaldo J. Abrantes , Frans A. Oliehoek
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