Zigzag Persistence
Zigzag Persistence
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DOI：
10.1007/s10208-010-9066-0
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发表时间：
2010-08-01
影响因子：
3
通讯作者：
de Silva, Vin
中科院分区：
文献类型：
--
作者：
Carlsson, Gunnar;de Silva, Vin
我们描述了一种新的方法，用于研究跨空间或点云数据集的拓扑特征的持久性，称为之字形持久性。在颤振表示的经典结果的基础上，之字形持久推广了非常成功的持久同调理论，并解决了该理论未涵盖的几种情况。在本文中，我们发展理论和算法的基础，对拓扑统计应用的观点。
We describe a new methodology for studying persistence of topological features across a family of spaces or point-cloud data sets, called zigzag persistence. Building on classical results about quiver representations, zigzag persistence generalises the highly successful theory of persistent homology and addresses several situations which are not covered by that theory. In this paper we develop theoretical and algorithmic foundations with a view towards applications in topological statistics.