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 the iris dataset.
@article{arxiv.2408.07174,
title = {On the Local Ultrametricity of Finite Metric Data},
author = {Patrick Erik Bradley},
journal= {arXiv preprint arXiv:2408.07174},
year = {2024}
}