How Global Directionality and Hierarchy shape the Structure and Function of Directed Complex Networks

全局方向性和层次结构如何塑造有向复杂网络的结构和功能

• 批准号: 2450858
• 金额: --
• 依托单位: University of Birmingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2450858
• 关键词: How; Global; Directionality; Hierarchy; shape

My PhD concerned the study of directed complex networks and the application of a method known as Trophic Analysis to study these systems which can be as diverse as food webs, neural networks, social networks, the internet or economies. Trophic Analysis measures the global directional organisation of these systems as well as providing a local ranking of the nodes by their place in the hierarchical structure. Throughout my PhD I have been applying these methods to study various facets of directed complex systems. I have published work on a variety of topics. We studied how in directed Hopfield Neural Networks the global directionality and hierarchy can influence the ability to store and recover patterns as well as the fact that the location in the hierarchy of information presentation can affect the ability of networks to recall the pattern. We also showed some analytical results which show how emergence of strong connectivity in real directed networks can be predicted using Trophic Analysis and by using percolation theory on the edges which break the global directionality and incite the strongly connected component. We also have worked on the notion of influence and influenceability in a directed systems and showed the correlation between dynamical and structural notions of network influence and the directed ordering of the system as measured by Trophic Analysis. We are also working on notions to explain how ordered structures arise in directed systems by working on network generative models based on node fitness difference distributions.

我的博士研究方向是定向复杂网络，以及利用营养分析方法来研究这些系统，这些系统可以是食物网、神经网络、社会网络、互联网或经济。营养分析测量这些系统的全局定向组织，并根据其在层次结构中的位置提供节点的局部排名。在我的博士学位期间，我一直在应用这些方法研究有向复杂系统的各个方面。我发表过各种主题的作品。我们研究了有向Hopfield神经网络的全局方向性和层次结构如何影响模式的存储和恢复能力，以及信息表示层次结构中的位置如何影响网络对模式的回忆能力。我们还展示了一些分析结果，这些结果表明如何使用营养分析和通过在边缘上使用渗透理论来预测真实有向网络中强连接的出现，这些边缘破坏了全局方向性并激发了强连接成分。我们还研究了定向系统中的影响和影响能力的概念，并展示了网络影响的动态和结构概念与通过营养分析测量的系统的定向排序之间的相关性。我们还致力于通过基于节点适应度差异分布的网络生成模型来解释有序结构如何在有向系统中产生的概念。