Metrics and Stabilization in One Parameter Persistence

DOI10.1137/19M1243932zbMath1445.55003arXiv1904.02905OpenAlexW3003964599WikidataQ114615468 ScholiaQ114615468MaRDI QIDQ5215535

Henri Riihimäki, Wojciech Chachólski

Publication date: 12 February 2020

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02905

zbMATH Keywords

stable ranktopological data analysispersistent homologyhierarchical stabilization

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Related Items

Bottleneck profiles and discrete Prokhorov metrics for persistence diagrams ⋮ The Persistence Landscape and Some of Its Properties ⋮ Homotopical decompositions of simplicial and Vietoris Rips complexes

Uses Software

• GitHub
• Ripser

Cites Work

• Hypothesis testing for topological data analysis
• Metrics for generalized persistence modules
• Limit theorems for persistence diagrams
• Multidimensional persistence and noise
• Erosion distance for generalized persistence modules

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