Persistent extensions and analogous bars: data-induced relations between persistence barcodes
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Publication:6074057
DOI10.1007/s41468-023-00115-yarXiv2201.05190MaRDI QIDQ6074057
Chad Giusti, Robert W. Ghrist, Hee Rhang Yoon
Publication date: 18 September 2023
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05190
Persistent homology and applications, topological data analysis (55N31) Computational aspects of data analysis and big data (68T09)
Cites Work
- Construction of universal bundles. I
- Computing persistent homology
- Topological persistence and simplification
- Zigzag persistence
- The persistent homology of a sampled map: from a viewpoint of quiver representations
- A functorial Dowker theorem and persistent homology of asymmetric networks
- Topological spaces of persistence modules and their properties
- Homology groups of relations
- Topology and data
- Induced Matchings of Barcodes and the Algebraic Stability of Persistence
- Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
- Sparse Circular Coordinates via Principal $$\mathbb {Z}$$-Bundles
- Stability of persistence diagrams
- Barcodes: The persistent topology of data
- The space of barcode bases for persistence modules
- Partial matchings induced by morphisms between persistence modules
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