Persistent de Rham-Hodge Laplacians in Eulerian representation for manifold topological learning

Recently, topological data analysis has become a trending topic in data science and engineering. However, the key technique of topological data analysis, i.e., persistent homology, is defined on point cloud data, which does not work directly for data on manifolds. Although earlier evolutionary de Rh...

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Bibliographic Details
Main Authors: Zhe Su, Yiying Tong, Guo-Wei Wei
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241333?viewType=HTML

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