Geometry of the matching distance for 2D filtering functions

DOI10.1007/s41468-023-00128-7arXiv2210.16718OpenAlexW4381681592WikidataQ122584213 ScholiaQ122584213MaRDI QIDQ6082669

Francesca Tombari, Nicola Quercioli, Patrizio Frosini, Marc Ethier

Publication date: 30 November 2023

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.16718

zbMATH Keywords

matching distancemultiparameter persistenceextended Pareto gridfiltering functions

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Algebraic topology on manifolds and differential topology (57R19)

Cites Work

• Natural pseudo-distance and optimal matching between reduced size functions
• Morse theory for two functions
• On the geometrical properties of the coherent matching distance in 2D persistent homology
• The theory of the interleaving distance on multidimensional persistence modules
• Betti numbers in multidimensional persistent homology are stable functions
• Persistent Homology: Theory and Practice
• A New Approximation Algorithm for the Matching Distance in Multidimensional Persistence
• Efficient Approximation of the Matching Distance for 2-Parameter Persistence
• Unnamed Item

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