Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration

Published 30 Jul 2023 in math.AT | (2307.16333v2)

Abstract: 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 can compute the degree-1 Vietoris-Rips Persistent Homology of point clouds in low dimensional Euclidean Space for larger point clouds.

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