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arXiv · 1108.3545

Applications of Zigzag Persistence to Topological Data Analysis

Andrew Tausz·Gunnar Carlsson
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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.

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Andrew Tausz, Gunnar Carlsson. 2011-08-17. Applications of Zigzag Persistence to Topological Data Analysis. https://arxiv.org/abs/1108.3545

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