On the Local Ultrametricity of Finite Metric Data

August 13, 2024 Β· Declared Dead Β· πŸ› Journal of Classification

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Authors Patrick Erik Bradley arXiv ID 2408.07174 Category cs.IR: Information Retrieval Citations 2 Venue Journal of Classification Last Checked 4 months ago
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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