Layers and stability
Algebraic Topology
2023-03-14 v1
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.
Cite
@article{arxiv.2303.07097,
title = {Layers and stability},
author = {J. F. Jardine},
journal= {arXiv preprint arXiv:2303.07097},
year = {2023}
}
Comments
This paper appeared on the author's website in January, 2021