Applications of Zigzag Persistence to Topological Data Analysis

Details Applications of Zigzag Persistence to Topological Data Analysis Applications of Zigzag Persistence to Topological Data Analysis

2011-08-17

arxiv.org/abs/1108.3545v1

Computer Science

Computational Geometry

Scientific paper

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.

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