2 papers
math.GT2024
Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis
Ruzhi Song, Fengling Li, Jie Wu +2
Many structures in science, engineering, and art can be viewed as curves in 3-space. The entanglement of these curves plays a crucial role in determining the functionality and phys…
math.AT2023
Persistent hypergraph homology and its applications
Yaru Gao, Yan Xu, Fengchun Lei
Persistent homology theory is a relatively new but powerful method in data analysis. Using simplicial complexes, classical persistent homology is able to reveal high dimensional ge…