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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.AT2023
Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration
Musashi Ayrton Koyama, Facundo Mémoli, Vanessa Robins +1
Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which c…