Persistent Homology: A Topological Tool for Higher-Interaction Systems

DOI10.1007/978-3-030-91374-8_3zbMath1505.55013OpenAlexW4225725980MaRDI QIDQ5053661

Ulderico Fugacci, Sara Scaramuccia, Francesco Vaccarino

Publication date: 6 December 2022

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-91374-8_3

zbMATH Keywords

surveyTDAnetworkstopological data analysispersistent homologypoint cloudsfiltrations of datapersistence summariesscale operator

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Uses Software

• Gudhi
• Dionysus
• jHoles
• Holes
• TDAmapper
• GitHub
• Ripser
• CliqueTop
• giotto-tda

Cites Work

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• Ripser: efficient computation of Vietoris-Rips persistence barcodes
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• Size functions and formal series

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