Fast computation of persistent homology representatives with involuted persistent homology

DOI10.3934/fods.2023006arXiv2105.03629OpenAlexW3162517897MaRDI QIDQ6194408

Žiga Virk, Matija Čufar

Publication date: 14 February 2024

Published in: Foundations of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03629

zbMATH Keywords

cohomologypersistent homologyRips complexmatrix reductionrepresentative cycle

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Combinatorial aspects of simplicial complexes (05E45) Topological data analysis (62R40)

Cites Work

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• Dualities in persistent (co)homology
• Volume-Optimal Cycle: Tightest Representative Cycle of a Generator in Persistent Homology
• Topology of viral evolution
• Persistent 1-cycles: definition, computation, and its application

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