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arXiv · 2408.07174

On the Local Ultrametricity of Finite Metric Data

Patrick Erik Bradley
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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.

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Patrick Erik Bradley. 2024-08-13. On the Local Ultrametricity of Finite Metric Data. https://arxiv.org/abs/2408.07174

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