MaCE: General Mass Conserving Dynamics for Cellular Automata
Vassilis Papadopoulos and Etienne Guichard
我们介绍了Mass-Conserving Evolution(MaCE),这是一种在细胞自体(CA)中实现质量保护的一般方法。 MaCE是一个简单的进化规则,可以很容易地“附着”到现有的CA,使它们成为大规模保护,这往往会产生更频繁有趣的行为,因为模式不能再爆炸或消亡。 我们首先表明MaCE在数值上是稳定的,并且承认一个简单的连续限制。 然后,我们在Lenia上测试MaCE,通过几个实验,我们证明它产生了各种各样的有趣行为,从孤种的多样性和丰富性开始,到资源受限环境中内在进化的暗示。 最后,我们通过将其应用于神经-CA和离散CA来展示MaCE的多功能性,并讨论该计划开辟的有希望的研究方向。
We present Mass-Conserving Evolution (MaCE), a general method for implementing mass conservation in Cellular Automata (CA). MaCE is a simple evolution rule that can be easily 'attached' to existing CAs to make them mass-conserving, which tends to produce interesting behaviours more often, as patterns can no longer explode or die out. We first show that MaCE is numerically stable and admits a simple continuous limit. We then test MaCE on Lenia, and through several experiments, we demonstrate that...
