Partial matchings induced by morphisms between persistence modules
We study how to obtain partial matchings using the block function Mf , induced by a morphism f between persistence modules. Mf is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of Mf , and provide a way of obtaining Mf using matrix...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/144197 |
| Acesso em linha: | https://hdl.handle.net/11441/144197 https://doi.org/10.1016/j.comgeo.2023.101985 |
| Access Level: | acceso abierto |
| Palavra-chave: | Partial matchings Persistence modules Topological data analysis Block functions |
| Resumo: | We study how to obtain partial matchings using the block function Mf , induced by a morphism f between persistence modules. Mf is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of Mf , and provide a way of obtaining Mf using matrix operations |
|---|