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arXiv · 2107.04519

Partial Matchings Induced by Morphisms between Persistence Modules

R. Gonzalez-Diaz·M. Soriano-Trigueros·A. Torras-Casas
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Abstract

We study how to obtain partial matchings using the block function $\mathcal{M}_f$, induced by a morphism $f$ between persistence modules. $\mathcal{M}_f$ is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of $\mathcal{M}_f$, and provide a way to obtain $\mathcal{M}_f$ using matrix operations.

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BibTeXRIS

R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas. 2021-07-09. Partial Matchings Induced by Morphisms between Persistence Modules. https://doi.org/10.1016/j.comgeo.2023.101985

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