Zigzag Persistence
Computational Geometry
2008-12-02 v1
Abstract
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.
Cite
@article{arxiv.0812.0197,
title = {Zigzag Persistence},
author = {Gunnar Carlsson and Vin de Silva},
journal= {arXiv preprint arXiv:0812.0197},
year = {2008}
}
Comments
32 pages, 7 figures