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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| Vydané v: | Journal of symbolic computation Ročník 78; s. 76 - 90 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.01.2017
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| ISSN: | 0747-7171, 1095-855X |
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| 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. |
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| AbstractList | 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. |
| Author | Wagner, Hubert Bauer, Ulrich Kerber, Michael Reininghaus, Jan |
| Author_xml | – sequence: 1 givenname: Ulrich surname: Bauer fullname: Bauer, Ulrich email: mail@ulrich-bauer.org organization: Technische Universität München (TUM), Munich, Germany – sequence: 2 givenname: Michael surname: Kerber fullname: Kerber, Michael email: kerber@tugraz.at organization: Graz University of Technology, Graz, Austria – sequence: 3 givenname: Jan surname: Reininghaus fullname: Reininghaus, Jan organization: CD-Adapco Inc., Vienna, Austria – sequence: 4 givenname: Hubert surname: Wagner fullname: Wagner, Hubert email: hub.wag@gmail.com organization: Institute of Science and Technology (IST) Austria, Klosterneuburg, Austria |
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