Efficient computation of image persistence

We present an algorithm for computing the barcode of the image of a morphisms in persistent homology induced by an inclusion of filtered finite-dimensional chain complexes. These algorithms make use of the clearing optimization and can be applied to inclusion-induced maps in persistent absolute homo...

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Bibliographic Details
Main Authors: Bauer, Ulrich (Author) , Schmahl, Maximilian (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: January 13, 2022
In: Arxiv
Year: 2022, Pages: 1-16
DOI:10.48550/arXiv.2201.04170
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2201.04170
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2201.04170
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Author Notes:Ulrich Bauer, Maximilian Schmahl
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