Zigzag Persistence
Year: 2008
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Gunnar Carlsson, Vin de Silva
Institutions: Stanford University, Pomona College
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3037102253