论文标题

在复杂系统中解散高阶机制和高阶行为

Disentangling high-order mechanisms and high-order behaviours in complex systems

论文作者

Rosas, Fernando E., Mediano, Pedro A. M., Luppi, Andrea I., Varley, Thomas F., Lizier, Joseph T., Stramaglia, Sebastiano, Jensen, Henrik J., Marinazzo, Daniele

论文摘要

Battiston等。 (ARXIV:2110.06023)提供了一个全面的概述,概述了复杂系统的调查如何考虑两个以上元素之间的相互作用,这些要素可以通过HyperGraphs模拟,并通过拓扑数据分析进行研究。遵循单独的查询线,广泛的文献开发了信息理论工具,以表征来自观察到的数据的高阶相互依赖性。尽管这些似乎是旨在解决相同问题的竞争方法,但在此通信中,我们澄清说,事实并非如此,并且对高阶现象的完整说明需要同时接受。

Battiston et al. (arXiv:2110.06023) provide a comprehensive overview of how investigations of complex systems should take into account interactions between more than two elements, which can be modelled by hypergraphs and studied via topological data analysis. Following a separate line of enquiry, a broad literature has developed information-theoretic tools to characterize high-order interdependencies from observed data. While these could seem to be competing approaches aiming to address the same question, in this correspondence we clarify that this is not the case, and that a complete account of higher-order phenomena needs to embrace both.

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