On the Local Ultrametricity of Finite Metric Data
arXiv:2408.07174
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 the iris dataset.
12 pages, 3 figures, 3 tables