Weighted persistent homology

DOI10.1216/RMJ-2018-48-8-2661zbMath1411.55005arXiv1708.06722MaRDI QIDQ5916075

Chengyuan Wu, Jie Wu, Shiquan Ren

Publication date: 10 January 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06722

zbMATH Keywords

persistent homologyweighted homologyweighted simplicial complex

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Other homology theories in algebraic topology (55N35)

Related Items (10)

Aspects of topological approaches for data science ⋮ Discrete differential calculus on simplicial complexes and constrained homology ⋮ The arithmetic topology of genetic alignments ⋮ Weighted fundamental group ⋮ Unnamed Item ⋮ Weighted persistent homology ⋮ Discrete Morse theory for weighted simplicial complexes ⋮ Computational tools in weighted persistent homology ⋮ The twisted homology of simplicial set ⋮ Topological data analysis for the energy and stability of endohedral metallofullerenes

Uses Software

• Holes

Cites Work

• Discrete Morse theory for computing cellular sheaf cohomology
• Persistent homology of collaboration networks
• On the local behavior of spaces of natural images
• The theory of multidimensional persistence
• Computing persistent homology
• Topological persistence and simplification
• Spectra of combinatorial Laplace operators on simplicial complexes
• Betti numbers in multidimensional persistent homology are stable functions
• Computing Multidimensional Persistence
• Topology for Computing
• Barcodes: The persistent topology of data
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• Unnamed Item
• Unnamed Item
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• Unnamed Item

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