On the Local Ultrametricity of Finite Metric Data
<|reference_start|>On the Local Ultrametricity of Finite Metric Data: 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.<|reference_end|>
@article{bradley2024on,
    title={On the Local Ultrametricity of Finite Metric Data},
    author={Patrick Erik Bradley},
    journal={arXiv preprint arXiv:2408.07174},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.07174},
    primaryClass={cs.IR}
}