Title
Applications of Zigzag Persistence to Topological Data Analysis
Abstract
The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled the investigation of several unexplored avenues in the area of topological data analysis. In this paper, we discuss three applications of zigzag persistence: topological bootstrapping, parameter thresholding, and the comparison of witness complexes.
Year
Venue
Keywords
2011
CoRR
data analysis,persistent homology,computational geometry
Field
DocType
Volume
Topological data analysis,Discrete mathematics,Combinatorics,Algebraic topology,Bootstrapping,Persistent homology,Thresholding,Zigzag,Wireless sensor network,Mathematics,Cognitive neuroscience of visual object recognition
Journal
abs/1108.3545
Citations 
PageRank 
References 
7
0.70
4
Authors
2
Name
Order
Citations
PageRank
Andrew Tausz171.04
Gunnar Carlsson2254.00