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Persistent Topological Laplacians-A Survey

Xiaoqi Wei1, Guo-Wei Wei1,2,3

  • 1Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.

Mathematics (Basel, Switzerland)
|September 29, 2025
PubMed
Summary

Persistent topological Laplacians offer advanced tools for topological data analysis (TDA), outperforming persistent homology in complex datasets like protein engineering. This review explores their mathematical formulations and applications.

Keywords:
persistent spectral theorytopological Laplacianstopological data analysis

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