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• W3100542044 abstract "This article introduces an algorithm to compute the persistent homology of a filtered complex with various coefficient fields in a single matrix reduction. The algorithm is output-sensitive in the total number of distinct persistent homological features in the diagrams for the different coefficient fields. This computation allows us to infer the prime divisors of the torsion coefficients of the integral homology groups of the topological space at any scale, hence furnishing a more informative description of topology than persistence in a single coefficient field. We provide theoretical complexity analysis as well as detailed experimental results. The code is part of the Gudhi software library." @default.
• W3100542044 created "2020-11-23" @default.
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• W3100542044 date "2019-04-30" @default.
• W3100542044 modified "2023-10-10" @default.
• W3100542044 title "Computing persistent homology with various coefficient fields in a single pass" @default.
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• W3100542044 doi "https://doi.org/10.1007/s41468-019-00025-y" @default.
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