Phat - Persistent Homology Algorithms Toolbox

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• 作者：Ulrich Bauer^a ; ^{mail@ulrich-bauer.org" class="auth_mail" title="E-mail the corresponding author} ; Michael Kerber^b ; ^{kerber@tugraz.at" class="auth_mail" title="E-mail the corresponding author} ; Jan Reininghaus^c ; Hubert Wagner^d ; ^{hub.wag@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Persistent homology ; Topological data analysis ; Matrix reduction ; Algorithm engineering
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：January-February 2017
• 年：2017
• 卷：78
• 期：Complete
• 页码：76-90
• 全文大小：407 K

文摘

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.