Efficient Simulation of Non-uniform Cellular Automata with a Convolutional Neural Network

Michiel Rollier, Aisling J. Daly, Odemir M. Bruno, Jan M. Baetens
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Abstract

Cellular automata (CAs) and convolutional neural networks (CNNs) are closely related due to the local nature of information processing. The connection between these topics is beneficial to both related fields, for conceptual as well as practical reasons. Our contribution solidifies this connection in the case of non-uniform CAs (nuCAs), simulating a global update in the architecture of the Python package TensorFlow. Additionally, we demonstrate how the highly optimised out-of-the-box multiprocessing in TensorFlow offers interesting computational benefits, especially when simulating large numbers of nuCAs with many cells.
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用卷积神经网络高效模拟非均匀蜂窝自动机
由于信息处理的局部性,细胞自动机(CA)和卷积神经网络(CNN)密切相关。出于概念和实际原因,这些主题之间的联系对这两个相关领域都是有益的。我们的贡献巩固了非均匀神经网络(nuCAs)中的这种联系,模拟了 Python 软件包 TensorFlow 架构中的全局更新。此外,我们还展示了 TensorFlow 高度优化的开箱即用多处理功能如何带来有趣的计算优势,尤其是在模拟大量具有多个单元的 nuCA 时。
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