Phat – Persistent Homology Algorithms Toolbox

Phat is an open-source C++ library for the computation of persistent homology by matrix reduction, targeted towards developers of software for topological data analysis. We aim for a simple generic design that decouples algorithms from data structures without sacrificing efficiency or user-friendlin...

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Veröffentlicht in:Journal of symbolic computation Jg. 78; S. 76 - 90
Hauptverfasser: Bauer, Ulrich, Kerber, Michael, Reininghaus, Jan, Wagner, Hubert
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.01.2017
Schlagworte:
Algorithm engineering
Matrix reduction
Persistent homology
Topological data analysis
Persistent homology
Algorithm engineering
Topological data analysis
Matrix reduction
ISSN:0747-7171, 1095-855X
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:Phat is an open-source C++ library for the computation of persistent homology by matrix reduction, targeted towards developers of software for topological data analysis. We aim for a simple generic design that decouples algorithms from data structures without sacrificing efficiency or user-friendliness. We provide numerous different reduction strategies as well as data types to store and manipulate the boundary matrix. We compare the different combinations through extensive experimental evaluation and identify optimization techniques that work well in practical situations. We also compare our software with various other publicly available libraries for persistent homology.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2016.03.008