On the Local Ultrametricity of Finite Metric Data

Patrick Erik Bradley ()
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Patrick Erik Bradley: Karlsruhe Institute of Technology

Journal of Classification, 2025, vol. 42, issue 3, No 7, 624-638

Abstract: Abstract New local ultrametricity measures for finite metric data are proposed through the viewpoint that their Vietoris-Rips corners are samples from p-adic Mumford curves endowed with a Radon measure coming from a regular differential 1-form. This is experimentally applied to three datasets.

Keywords: Local ultrametricity; p-adic numbers; Finite data; Mumford curves; Vietoris-Rips complex; Data analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00357-025-09508-3

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