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math.AT2025
Persistent Stanley--Reisner Theory
Faisal Suwayyid, Guo-Wei Wei
Topological data analysis (TDA) has emerged as an effective approach in data science, with its key technique, persistent homology, rooted in algebraic topology. Although alternativ…
math.AT2023★ 2 cited
Persistent Dirac of Path and Hypergraph
Faisal Suwayyid, Guo-Wei Wei
This work introduces the development of path Dirac and hypergraph Dirac operators, along with an exploration of their persistence. These operators excel in distinguishing between h…