On the Local Ultrametricity of Finite Metric Data

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.

Authors

Patrick Erik Bradley (ORCID: https://orcid.org/0000-0001-5595-490X)

Institutions

American Society for Photogrammetry and Remote Sensing (US)

Publication Details

Journal: Journal of Classification
Published: 2025-03-25
DOI: https://doi.org/10.1007/s00357-025-09508-3
Citations: 3
Primary Topic: advanced mathematical theories
Type: article
Field-Weighted Citation Impact: 11.08

Funders

Deutsche Forschungsgemeinschaft

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article

On the Local Ultrametricity of Finite Metric Data

Patrick Erik Bradley

Mar 25, 2025

3 citations

Journal of Classification

advanced mathematical theories

11.08

article

On the Local Ultrametricity of Finite Metric Data

Patrick Erik Bradley

March 25, 2025article en

3 citations

Abstract

Journal of ClassificationVol. 42(3)

American Society for Photogrammetry and Remote Sensing (US)

Deutsche Forschungsgemeinschaft

Openalex Percentile: Top 2%

advanced mathematical theories

11.08

DOI Open Access PDF OpenAlex

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On the Local Ultrametricity of Finite Metric Data — Patrick Erik Bradley · Journal of Classification (2025) | TGRS Research Map | TGRS