On the Local Ultrametricity of Finite Metric Data
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Abstract (arXiv)
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.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Aug 2024.
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Citing papers per year: 2026: 2.
2 papers.
- 2026p-adic Character Neural Networkcited by 2
- 2026p-adic Manifold Learning and Benchmark Tasks from Impartial Gamescited by 0
- 2026p-adic Manifold Learning and Benchmark Tasks from Impartial Games6 May 2026
- 2026p-adic Character Neural Network31 Mar 2026