Ripser: efficient computation of Vietoris–Rips persistence barcodes

We present an algorithm for the computation of Vietoris–Rips persistence barcodes and describe its implementation in the software Ripser. The method relies on implicit representations of the coboundary operator and the filtration order of the simplices, avoiding the explicit construction and storage...

Celý popis

Podrobná bibliografia

Vydané v:	Journal of applied and computational topology Ročník 5; číslo 3; s. 391 - 423
Hlavný autor:	Bauer, Ulrich
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.09.2021
Predmet:	Algebraic Topology Computational Science and Engineering Mathematical and Computational Biology Mathematics Mathematics and Statistics 55N31 . 55-04 Persistent homology . Vietoris-Rips complexes . Topological data analysis . Discrete Morse theory
ISSN:	2367-1726, 2367-1734
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!