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Evolving Many Worlds: Towards Open-Ended Discovery in Petri Dish NCA via Population-Based Training

arXiv 2604.11248 ↗First posted 13 Apr 2026cs.NE cs.AI cs.MAcited by 0

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Abstract (arXiv)

The generation of sustained, open-ended complexity from local interactions remains a fundamental challenge in artificial life. Differentiable multi-agent systems, such as Petri Dish Neural Cellular Automata (PD-NCA), exhibit rich self-organization driven purely by spatial competition; however, they are highly sensitive to hyperparameters and frequently collapse into uninteresting patterns and dynamics, such as frozen equilibria or structureless noise. In this paper, we introduce PBT-NCA, a meta-evolutionary algorithm that evolves a population of PD-NCAs subject to a composite objective that rewards both historical behavioral novelty and contemporary visual diversity. Driven by this continuous evolutionary pressure, PBT-NCA spontaneously generates a plethora of emergent lifelike phenomena over extended horizons-a hallmark of true open-endedness. Strikingly, the substrate autonomously discovers diverse morphological survival and self-organization strategies. We observe highly regular, coordinated periodic waves; spore-like scattering where homogeneous groups eject cell-like clusters to colonize distant territories; and fluid, shape-shifting macro-structures that migrate across the substrate, maintaining stable outer boundaries that enclose highly active interiors. By actively penalizing monocultures and dead states, PBT-NCA sustains a state of effective complexity that is neither globally ordered nor globally random, operating persistently at the "edge of chaos".

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References · 25

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
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  3. 2023DINOv2: Learning Robust Visual Features without Supervisioncited by 7,764
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  8. 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
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  10. 2024Open-Endedness is Essential for Artificial Superhuman Intelligencecited by 79
  11. 2023OMNI: Open-endedness via Models of human Notions of Interestingnesscited by 66
  12. 2019Emergent Coordination Through Competitioncited by 57
13 more
  1. 2018Lenia - Biology of Artificial Lifecited by 41
  2. 2021Growing 3D Artefacts and Functional Machines with Neural Cellular Automatacited by 38
  3. 2020Lenia and Expanded Universecited by 23
  4. 2025Evolution Strategies at the Hyperscalecited by 22
  5. 2024Automating the Search for Artificial Life with Foundation Modelscited by 20
  6. 2024Intelligence at the Edge of Chaoscited by 13
  7. 2024Toward Artificial Open-Ended Evolution within Lenia using Quality-Diversitycited by 12
  8. 2022Flow-Lenia: Towards open-ended evolution in cellular automata through mass conservation and parameter localizationcited by 11
  9. 2023Towards Large-Scale Simulations of Open-Ended Evolution in Continuous Cellular Automatacited by 10
  10. 2024CAX: Cellular Automata Accelerated in JAXcited by 8
  11. 2026Digital Red Queen: Adversarial Program Evolution in Core War with LLMscited by 7
  12. 2022Learning Synthetic Environments and Reward Networks for Reinforcement Learningcited by 6
  13. 2025Guiding Evolution of Artificial Life Using Vision-Language Modelscited by 1

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