Zigzag Persistence

被引：0
|
作者：
Gunnar Carlsson
Vin de Silva
机构：
[1] Stanford University,Department of Mathematics
[2] Pomona College,Department of Mathematics
来源：
Foundations of Computational Mathematics | 2010年 / 10卷
关键词：
Applied topology; Persistent topology; Quiver representations; 68W30; 55N99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：367 / 405
页数：38
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