Layers and stability

Published 13 Mar 2023 in math.AT | (2303.07097v1)

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

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