Artículo
Persistence Partial Matchings Induced by Morphisms between Persistence Modules
Autor/es | González Díaz, Rocío
![]() ![]() ![]() ![]() ![]() ![]() ![]() Soriano Trigueros, Manuel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2021 |
Fecha de depósito | 2021-10-07 |
Publicado en |
|
Resumen | The notion of persistence partial matching, as a generalization of partial matchings
between persistence modules, is introduced. We study how to obtain a persistence
partial matching Gf , and a partial matching Mf , ... The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is introduced. We study how to obtain a persistence partial matching Gf , and a partial matching Mf , induced by a morphism f between persistence modules, both being linear with respect to direct sums of morphisms. Some of their properties are also provided, including their stability after a perturbation of the morphism f, and their relationship with other induced partial matchings already de ned in TDA. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España |
Identificador del proyecto | PID2019-107339GB-I00
![]() |
Cita | González Díaz, R. y Soriano Trigueros, M. (2021). Persistence Partial Matchings Induced by Morphisms between Persistence Modules. ArXiv.org, arXiv:2107.04519 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Persistence Partial Matchings ... | 505.5Kb | ![]() | Ver/ | |