A lower bound for the interleaving distance on persistence modules is given in terms of matching distance of rank invariants. This offers an alternative proof of the stability of rank invariants. As a further contribution, also the internal stability of the rank invariant is proved in terms of interleavings.
The Rank Invariant Stability via Interleavings / Landi, Claudia. - 13:(2018), pp. 1-10. [10.1007/978-3-319-89593-2_1]
The Rank Invariant Stability via Interleavings
Landi, Claudia
2018
Abstract
A lower bound for the interleaving distance on persistence modules is given in terms of matching distance of rank invariants. This offers an alternative proof of the stability of rank invariants. As a further contribution, also the internal stability of the rank invariant is proved in terms of interleavings.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
WinCompTop-2016_005_v2.pdf
Accesso riservato
Tipologia:
AAM - Versione dell'autore revisionata e accettata per la pubblicazione
Dimensione
185.59 kB
Formato
Adobe PDF
|
185.59 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
