A normalized bottleneck distance on persistence diagrams and homology preservation under dimension reduction

DOI10.1007/S44007-024-00130-0MaRDI QIDQ6659515

Patrick Gambill, Bala Krishnamoorthy, Nathan H. May

Publication date: 9 January 2025

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

metric multidimensional scalingbottleneck distancemetric decompositionpersistence diagramsJohnson-Lindenstrauss projection

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Statistics (62-XX) Computing methodologies and applications (68Uxx)

Cites Work

• Title not available (Why is that?)
• Persistence stability for geometric complexes
• Dimensionality reduction for \(k\)-distance applied to persistent homology
• The theory of the design of experiments
• Persistent Homology: Theory and Practice
• The Structure and Stability of Persistence Modules
• Extensions of Lipschitz mappings into a Hilbert space
• Topology and data
• The Persistent Homology of Distance Functions under Random Projection
• Persistent homology for low-complexity models
• Nonlinear dimension reduction via outer Bi-Lipschitz extensions
• Computational Topology
• Topological information retrieval with dilation-invariant bottleneck comparative measures

This page was built for publication: A normalized bottleneck distance on persistence diagrams and homology preservation under dimension reduction

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6659515)