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math.AT2026
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.AT2025
Quantifying the homology of periodic cell complexes
Adam Onus, Vanessa Robins
A periodic cell complex, , has a finite representation as the quotient space, , consisting of equivalence classes of cells identified under the translation group acting on…