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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…
math.AT2024
Decomposing the Persistent Homology Transform of Star-Shaped Objects
Shreya Arya, Barbara Giunti, Abigail Hickok +3
In this paper, we study the geometric decomposition of the degree- Persistent Homology Transform (PHT) as viewed as a persistence diagram bundle. We focus on star-shaped objects…