Numeric invariants from multidimensional persistence

DOI10.1007/s41468-017-0003-zzbMath1439.55007arXiv1411.4022OpenAlexW2962957913MaRDI QIDQ1659339

Jacek Skryzalin, Gunnar Carlsson

Publication date: 15 August 2018

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4022

zbMATH Keywords

multidimensional persistent homologyapplied topologynumeric invariants

Mathematics Subject Classification ID

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

Related Items (5)

Multiparameter Persistence Landscapes ⋮ Multidimensional persistence and noise ⋮ Generalized persistence algorithm for decomposing multiparameter persistence modules ⋮ Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology ⋮ Correspondence modules and persistence sheaves: a unifying perspective on one-parameter persistent homology

Uses Software

• PersistenceImages

Cites Work

• The ring of algebraic functions on persistence bar codes
• The theory of multidimensional persistence
• Multisymmetric functions
• Computing multidimensional persistence
• Topology and data
• Topological pattern recognition for point cloud data
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Statistical topological data analysis using persistence landscapes

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