2 papers
math.AT2026
Computing extended persistent homology of radial distance filtrations of Euclidean shapes
Yuchen Jency Jiang, Vanessa Robins, Katharine Turner
We study the extended persistent homology of the radial filtration of a shape . A radial filtration is formed by choosing a center point and taking poi…
math.AT2024
The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm
Musashi Ayrton Koyama, Vanessa Robins, Katharine Turner
The long computational time and large memory requirements for computing Vietoris Rips persistent homology from point clouds remains a significant deterrent to its application to bi…