3 citations · 4 across the 5 of their papers we have counts for
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Parametrization of Symmetry in Data
Jian Liu, Dong Chen, Guo-Wei Wei
Symmetry plays a fundamental role in understanding natural phenomena and mathematical structures. This work develops a comprehensive theory for studying the persistent symmetries a…
Topological Sequence Analysis of Genomes: Delta Complex approaches
Jian Liu, Li Shen, Dong Chen +1
Algebraic topology has been widely applied to point cloud data to capture geometric shapes and topological structures. However, its application to genome sequence analysis remains…
Persistent interaction topology in data analysis
Jian Liu, Dong Chen, Guo-Wei Wei
Topological data analysis, as a tool for extracting topological features and characterizing geometric shapes, has experienced significant development across diverse fields. Its key…
Interaction homotopy and interaction homology
Jian Liu, Dong Chen, Guo-Wei Wei
Interactions in complex systems are widely observed across various fields, drawing increased attention from researchers. In mathematics, efforts are made to develop various theorie…
Persistent hyperdigraph homology and persistent hyperdigraph Laplacians
Dong Chen, Jian Liu, Jie Wu +1
Hypergraphs are useful mathematical models for describing complex relationships among members of a structured graph, while hyperdigraphs serve as a generalization that can encode a…