3 papers
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…
math.GT2016
Counting curves on surfaces
Norman Do, Musashi A. Koyama, Daniel V. Mathews
In this paper we consider an elementary, and largely unexplored, combinatorial problem in low-dimensional topology. Consider a real 2-dimensional compact surface , and fix a num…