Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
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Publication:5118359
DOI10.1007/978-3-030-43408-3_3zbMath1453.55004arXiv1610.10085OpenAlexW2546347714MaRDI QIDQ5118359
Publication date: 8 September 2020
Published in: Topological Data Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.10085
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Persistent extensions and analogous bars: data-induced relations between persistence barcodes, Partial matchings induced by morphisms between persistence modules, Persistent homology and microlocal sheaf theory, Topological spaces of persistence modules and their properties, A comparison framework for interleaved persistence modules, Decorated merge trees for persistent topology
Cites Work
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- Confidence sets for persistence diagrams
- Categorified Reeb graphs
- Stability of persistence diagrams
- The persistent homology of a self-map
- Metrics for generalized persistence modules
- Korrespondenzen in abelschen Kategorien
- Algebraic stability of zigzag persistence modules
- Categorification of persistent homology
- The theory of the interleaving distance on multidimensional persistence modules
- Linear-size approximations to the Vietoris-Rips filtration
- Induced Matchings and the Algebraic Stability of Persistence Barcodes
- Homological Algebra
- The Structure and Stability of Persistence Modules
- Decomposition of pointwise finite-dimensional persistence modules
- Visualizing Sparse Filtrations.
- Proximity of persistence modules and their diagrams