DTM-Based Filtrations

DOI10.1007/978-3-030-43408-3_2zbMath1448.62212arXiv1811.04757OpenAlexW2899741138MaRDI QIDQ5118358

Raphaël Tinarrage, Hiroya Inakoshi, Marc Glisse, Fréderic Chazal, Yuhei Umeda, Hirokazu Anai, Yuichi Ike

Publication date: 8 September 2020

Published in: Topological Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04757

zbMATH Keywords

filtrationtopological data analysispersistent homology

Mathematics Subject Classification ID

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

Related Items (2)

Statistical Analysis of Random Objects Via Metric Measure Laplacians ⋮ Recovering the homology of immersed manifolds

Cites Work

• Unnamed Item
• Efficient and robust persistent homology for measures
• Persistence stability for geometric complexes
• Geometric inference for probability measures
• Witnessed \(k\)-distance
• Linear-size approximations to the Vietoris-Rips filtration
• The Structure and Stability of Persistence Modules
• Towards persistence-based reconstruction in euclidean spaces
• Weighted persistent homology

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