Bottleneck stability for generalized persistence diagrams

DOI10.1090/proc/14929zbMath1446.55007arXiv1806.00170OpenAlexW2806874312MaRDI QIDQ5111524

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Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00170

zbMATH Keywords

bottleneck stabilitygeneralized persistence diagram

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Algebraic combinatorics (05E99)

Related Items (8)

Capturing dynamics of time-varying data via topology ⋮ Edit Distance and Persistence Diagrams over Lattices ⋮ Steady and ranging sets in graph persistence ⋮ Euler characteristic surfaces ⋮ Exact weights, path metrics, and algebraic Wasserstein distances ⋮ Unnamed Item ⋮ Generalized persistence diagrams for persistence modules over posets ⋮ Graded persistence diagrams and persistence landscapes

Cites Work

• Stability of persistence diagrams
• Generalized persistence diagrams
• Computing persistent homology
• Zigzag persistence
• The Structure and Stability of Persistence Modules
• Decomposition of pointwise finite-dimensional persistence modules
• Higher Interpolation and Extension for Persistence Modules
• Proximity of persistence modules and their diagrams

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