\textsc{Phat} -- persistent homology algorithms toolbox

DOI10.1016/j.jsc.2016.03.008zbMath1348.68181OpenAlexW2333586270MaRDI QIDQ739617

Hubert Wagner, Michael Kerber, Ulrich Bauer, Jan Reininghaus

Publication date: 18 August 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.03.008

zbMATH Keywords

topological data analysispersistent homologyalgorithm engineeringmatrix reduction

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Learning and adaptive systems in artificial intelligence (68T05) Other homology theories in algebraic topology (55N35) Software, source code, etc. for problems pertaining to computer science (68-04)

Related Items (24)

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Uses Software

• Gudhi
• Perseus
• javaPlex
• Dionysus
• TDA

Cites Work

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• The Simplex Tree: An Efficient Data Structure for General Simplicial Complexes
• Morse theory for filtrations and efficient computation of persistent homology
• The compressed annotation matrix: an efficient data structure for computing persistent cohomology
• Morse theory for cell complexes
• Computing persistent homology
• Topological persistence and simplification
• An output-sensitive algorithm for persistent homology
• javaPlex: A Research Software Package for Persistent (Co)Homology
• The Gudhi Library: Simplicial Complexes and Persistent Homology
• Dualities in persistent (co)homology
• Toward the Extraction of Saddle Periodic Orbits
• Clear and Compress: Computing Persistent Homology in Chunks
• Distributed Computation of Persistent Homology
• Zigzag persistent homology in matrix multiplication time

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