Title
PHAT - Persistent Homology Algorithms Toolbox.
Abstract
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.
Year
DOI
Venue
2014
10.1016/j.jsc.2016.03.008
J. Symb. Comput.
Keywords
Field
DocType
Persistent homology,Topological data analysis,Matrix reduction,Algorithm engineering
Data structure,Matrix (mathematics),Computer science,Toolbox,Algorithm,Implementation,Persistent homology,Theoretical computer science,Computation
Conference
Volume
ISSN
Citations 
78
0747-7171
12
PageRank 
References 
Authors
0.56
17
4
Name
Order
Citations
PageRank
Ulrich Bauer110210.84
Michael Kerber24710.62
Jan Reininghaus31687.54
Hubert Wagner4131.59