描述没有标记的时间网络的动态
Annalisa Caligiuri1, Tobias Galla1, Lucas Lacasa1
1Institute for Cross-Disciplinary Physics and Complex Systems (IFISC, CSIC-UIB), 07122 Palma de Mallorca, Spain.
Chaos (Woodbury, N.Y.)
|May 8, 2025
概括
本研究介绍了分析时间网络而不使用节点标签的方法,使用图形不变量来理解网络动态. 这些发现使得未标记的网络轨迹及其动态属性的表征成为可能.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 动态系统 动态系统
背景情况:
- 时间网络代表着随着时间的推移而演变的系统,对于理解复杂系统至关重要.
- 分析带有未标记节点的时间网络是具有挑战性的,因为缺乏跨时间快照的节点对应.
- 现有的动态系统分析方法通常需要标记的节点,限制它们的应用到未标记的时间网络.
研究的目的:
- 将动态系统概念和网络动态定量器扩展到具有未标记节点的时间网络.
- 开发方法来表征没有标记的时间网络轨迹的动态性质.
- 为了应对当节点身份无法随时间跟踪时分析网络演变的挑战.
主要方法:
- 利用图形不变量来调整现有的网络动态定量器.
- 专注于自相关函数和对初始条件的敏感依赖.
- 使用合成图形动态和经验时间网络,删除节点标签以验证.
主要成果:
- 成功地将网络动态定量器 (自相对应,对初始条件的敏感依赖) 扩展到未标记的时间网络.
- 证明了这些措施能够恢复和估计动态指纹,即使没有节点标签.
- 在合成和实证无标记的时间网络数据上验证了拟议的方法.
结论:
- 图形不变提供了一种可行的方法来分析未标记时间网络的动态特性.
- 开发的方法提供了一个强大的方法来研究缺失节点信息的场景中的网络演变.
- 这项工作为理解那些节点跟踪是不可行的或受限制的复杂系统开辟了新的途径.
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