Persistence-based clustering with outlier-removing filtration

This article describes a non-parametric clustering algorithm with an outlier removal step. Our method is based on tools from topological data analysis: we define a new filtration on metric spaces which is a variant of the Vietoris–Rips filtration that adds information about the points' nearest...

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Bibliographic Details
Main Authors: Alexandre Bois, Brian Tervil, Laurent Oudre
Format: Article
Language:English
Published: Frontiers Media S.A. 2024-04-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2024.1260828/full

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