In this paper, we propose a brief overview about multidimensional persistent Betti numbers (PBNs) and the metric that is usually used to compare them, i.e., the multidimensional matching distance. We recall the main definitions and results, mainly focusing on the 2-dimensional case. An algorithm to approximate n-dimensional PBNs with arbitrary precision is described.
A Brief Introduction to Multidimensional Persistent Betti Numbers / Cerri A.; Frosini P.. - STAMPA. - 350:(2021), pp. 215-228. (Intervento presentato al convegno 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018 tenutosi a Kochi, India nel December 9–11, 2018) [10.1007/978-981-16-0174-3_18].
A Brief Introduction to Multidimensional Persistent Betti Numbers
Frosini P.
2021
Abstract
In this paper, we propose a brief overview about multidimensional persistent Betti numbers (PBNs) and the metric that is usually used to compare them, i.e., the multidimensional matching distance. We recall the main definitions and results, mainly focusing on the 2-dimensional case. An algorithm to approximate n-dimensional PBNs with arbitrary precision is described.| File | Dimensione | Formato | |
|---|---|---|---|
|
final_version_paper_Cerri_Frosini_IWCTA_2018_POSTPRINT.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
273.75 kB
Formato
Adobe PDF
|
273.75 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
