9 citations · 19 across the 14 of their papers we have counts for
5 papers · 1 filter
Persistent Mayer homology and persistent Mayer Laplacian
Li Shen, Jian Liu, Guo-Wei Wei
In algebraic topology, the differential (i.e., boundary operator) typically satisfies . However, the generalized differential for an integer has been s…
Persistent Topological Laplacians -- a Survey
Xiaoqi Wei, Guo-Wei Wei
Persistent topological Laplacians constitute a new class of tools in topological data analysis (TDA). They are motivated by the necessity to address challenges encountered in persi…
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…
ChatGPT for Computational Topology
Jian Liu, Li Shen, Guo-Wei Wei
ChatGPT represents a significant milestone in the field of artificial intelligence (AI), finding widespread applications across diverse domains. However, its effectiveness in mathe…
Knot data analysis using multiscale Gauss link integral
Li Shen, Hongsong Feng, Fengling Li +3
In the past decade, topological data analysis (TDA) has emerged as a powerful approach in data science. The main technique in TDA is persistent homology, which tracks topological i…