Stability and machine learning applications of persistent homology using the Delaunay-Rips complex

Persistent homology (PH) is a robust method to compute multi-dimensional geometric and topological features of a dataset. Because these features are often stable under certain perturbations of the underlying data, are often discriminating, and can be used for visualization of structure in high-dimen...

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Bibliographic Details
Main Authors: Amish Mishra, Francis C. Motta
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-07-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2023.1179301/full