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Cybernetical Concepts for Cellular Automaton and Artificial Neural Network Modelling and Implementation
arXiv - CS - Neural and Evolutionary Computing Pub Date : 2019-11-24 , DOI: arxiv-2001.02037
Patrik Christen and Olivier Del Fabbro

As a discipline cybernetics has a long and rich history. In its first generation it not only had a worldwide span, in the area of computer modelling, for example, its proponents such as John von Neumann, Stanislaw Ulam, Warren McCulloch and Walter Pitts, also came up with models and methods such as cellular automata and artificial neural networks, which are still the foundation of most modern modelling approaches. At the same time, cybernetics also got the attention of philosophers, such as the Frenchman Gilbert Simondon, who made use of cybernetical concepts in order to establish a metaphysics and a natural philosophy of individuation, giving cybernetics thereby a philosophical interpretation, which he baptised allagmatic. In this paper, we emphasise this allagmatic theory by showing how Simondon's philosophical concepts can be used to formulate a generic computer model or metamodel for complex systems modelling and its implementation in program code, according to generic programming. We also present how the developed allagmatic metamodel is capable of building simple cellular automata and artificial neural networks.

中文翻译:

元胞自动机和人工神经网络建模与实现的控制论概念

作为一门学科,控制论有着悠久而丰富的历史。在它的第一代,它不仅具有世界性的跨度,例如在计算机建模领域,其支持者如约翰·冯·诺依曼、斯坦尼斯拉夫·乌拉姆、沃伦·麦卡洛克和沃尔特·皮茨,还提出了细胞自动机等模型和方法。和人工神经网络,它们仍然是大多数现代建模方法的基础。同时,控制论也得到哲学家的关注,如法国人吉尔伯特·西蒙东,他利用控制论的概念建立了形而上学和个体化的自然哲学,从而赋予了控制论一种哲学的解释,并对其进行了洗礼。 . 在本文中,我们通过展示 Simondon 如何强调这种混杂理论 根据通用编程,s 哲学概念可用于为复杂系统建模及其在程序代码中的实现制定通用计算机模型或元模型。我们还展示了开发的 allagmatic 元模型如何能够构建简单的细胞自动机和人工神经网络。
更新日期:2020-09-02
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