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arXiv · 2303.07097

Layers and stability

J. F. Jardine
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Abstract

The hierarchy associated to clusters in the HDBSCAN algorithm has layers, which are defined by cardinality. The layers define a layer subposet of the HDBSCAN hierarchy, which is a strong deformation retract and admits a stability analysis. That stability analysis is introduced here. Cardinality arguments lead to sharper results for layers than one sees for stability statements for branch points.

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J. F. Jardine. 2023-03-13. Layers and stability. https://arxiv.org/abs/2303.07097

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