将连续值Lenia框架推广到任意类生命元胞自动机

Q. Davis, J. Bongard
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引用次数: 3

摘要

最近与Lenia(一个连续值细胞自动机(CA)框架)的合作,已经产生了价值100万美元的引人注目的、生物记忆的和可移动的模式。Lenia可以被看作是生命游戏(Game of Life)的持续价值概括。生命游戏是由John Conway开发的一种重要的细胞自动机,它基于简单的出生和生存规则,表现出复杂而普遍的行为。基于Moore邻域的总体CA的Life框架包括许多其他有趣的,Life-like CA。Lenia中引入的简化将在Lenia中可表达的Life-like CA的类型限制为特定子集。这项工作通过将Lenia的生长函数拆分为起源和持续函数(类似于生命的诞生和生存规则),恢复了轻松实现任何类生命CA的能力。我们通过实现来自Life-like CA Morley/Move的一个puffer模式来演示这个新的CA变体的功能,并检查Lenia和Glaberish框架中相关CA之间的差异:Hydrogeminium natans和s613。随着时间的推移,这些CA在基于空间熵的动态和特征上表现出明显的差异,并且都支持几种持久的移动模式。在Glaberish框架中实现的CA s613在空间熵随时间变化的一致性方面比Hydrogeminium CA更具动态性。这些结果表明,可能有各种各样有趣的CA可以在Lenia框架的Glaberish变体中实现,类似于Conway的生活之外的许多有趣的Life-like CA。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Glaberish: Generalizing the Continuously-Valued Lenia Framework to Arbitrary Life-Like Cellular Automata
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 seminal cellular automaton developed by John Conway that exhibits complex and universal behavior based on simple birth and survival rules. Life's framework of totalistic CA based on the Moore neighborhood includes many other interesting, Life-like, CA. A simplification introduced in Lenia limits the types of Life-like CA that are expressible in Lenia to a specific subset. This work recovers the ability to easily implement any Life-like CA by splitting Lenia's growth function into genesis and persistence functions, analogous to Life's birth and survival rules. We demonstrate the capabilities of this new CA variant by implementing a puffer pattern from Life-like CA Morley/Move, and examine differences between related CA in Lenia and Glaberish frameworks: Hydrogeminium natans and s613, respectively. These CA exhibit marked differences in dynamics and character based on spatial entropy over time, and both support several persistent mobile patterns. The CA s613, implemented in the Glaberish framework, is more dynamic than the Hydrogeminium CA in terms of a consistently high variance in spatial entropy over time. These results suggest there may be a wide variety of interesting CA that can be implemented in the Glaberish variant of the Lenia framework, analogous to the many interesting Life-like CA outside of Conway's Life.
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