Instability of the Betti Sequence for Persistent Homology and a Stabilized Version of the Betti Sequence

DOI10.12941/jksiam.2021.25.296zbMath1501.55005arXiv2109.09218MaRDI QIDQ5095435

Jae-Hun Jung, Megan Johnson

Publication date: 8 August 2022

Full work available at URL: https://arxiv.org/abs/2109.09218

zbMATH Keywords

stabilityvectorizationtopological data analysispersistent homologyBetti sequenceBetti curve

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computational methods for problems pertaining to algebraic topology (55-08)

Uses Software

• PersistenceImages
• PersistenceCurves

Cites Work

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• PersistenceImages
• PersistenceCurves
• A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition
• Topological persistence and simplification
• Persistence curves: a canonical framework for summarizing persistence diagrams
• Topology and data
• Persistent homology and non-Gaussianity
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Topological data analysis of zebrafish patterns

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