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合法超图

Legal hypergraphs.

作者信息

Coupette Corinna, Hartung Dirk, Katz Daniel Martin

机构信息

Max Planck Institute for Informatics, Saarbrucken, Germany.

Center for Legal Technology and Data Science, Bucerius Law School, Hamburg, Germany.

出版信息

Philos Trans A Math Phys Eng Sci. 2024 Apr 15;382(2270):20230141. doi: 10.1098/rsta.2023.0141. Epub 2024 Feb 26.

DOI:10.1098/rsta.2023.0141
PMID:38403053
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10894694/
Abstract

Complexity science provides a powerful framework for understanding physical, biological and social systems, and network analysis is one of its principal tools. Since many complex systems exhibit multilateral interactions that change over time, in recent years, network scientists have become increasingly interested in modelling and measuring networks featuring . At the same time, while network analysis has been more widely adopted to investigate the structure and evolution of law as a complex system, the utility of dynamic higher-order networks in the legal domain has remained largely unexplored. Setting out to change this, we introduce as a powerful tool for studying legal network data. Temporal hypergraphs generalize static graphs by (i) allowing any number of nodes to participate in an edge and (ii) permitting nodes or edges to be added, modified or deleted. We describe models and methods to explore that evolve over time and elucidate their benefits through case studies on legal citation and collaboration networks that change over a period of more than 70 years. Our work demonstrates the potential of dynamic higher-order networks for studying complex legal systems, and it facilitates further advances in legal network analysis. This article is part of the theme issue 'A complexity science approach to law and governance'.

摘要

复杂性科学为理解物理、生物和社会系统提供了一个强大的框架,而网络分析是其主要工具之一。由于许多复杂系统呈现出随时间变化的多边相互作用,近年来,网络科学家对具有……特征的网络建模和测量越来越感兴趣。与此同时,虽然网络分析已被更广泛地用于研究作为复杂系统的法律的结构和演变,但动态高阶网络在法律领域的效用在很大程度上仍未得到探索。为了改变这种情况,我们引入……作为研究法律网络数据的强大工具。时态超图通过(i)允许任意数量的节点参与一条边以及(ii)允许节点或边被添加、修改或删除来推广静态图。我们描述了探索随时间演变的……的模型和方法,并通过对超过70年时间里变化的法律引用和合作网络的案例研究阐明了它们的优势。我们的工作展示了动态高阶网络在研究复杂法律系统方面的潜力,并促进了法律网络分析的进一步发展。本文是“法律与治理的复杂性科学方法”主题特刊的一部分。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/b57190746524/rsta20230141f08.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/bc996c42c079/rsta20230141f01.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/9ed1473fbaba/rsta20230141f02.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/ed3533fbc3c3/rsta20230141f03.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/ea5c3584d752/rsta20230141f04.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/f03eac577262/rsta20230141f05.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/a0e2ba7eea1f/rsta20230141f06.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/df6b6f63b416/rsta20230141f07.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/b57190746524/rsta20230141f08.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/bc996c42c079/rsta20230141f01.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/9ed1473fbaba/rsta20230141f02.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/ed3533fbc3c3/rsta20230141f03.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/ea5c3584d752/rsta20230141f04.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7da2/10894694/b57190746524/rsta20230141f08.jpg

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本文引用的文献

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Hyper-cores promote localization and efficient seeding in higher-order processes.超核心促进高阶过程中的定位和高效播种。
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