Layers and stability

التفاصيل البيبلوغرافية
العنوان: Layers and stability
المؤلفون: Jardine, J. F.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Topology, 62R40 (Primary) 55U10, 68T09 (Secondary)
الوصف: 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.
Comment: This paper appeared on the author's website in January, 2021
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.07097
رقم الأكسشن: edsarx.2303.07097
قاعدة البيانات: arXiv