Distributed Computation of Persistent Homology

DOI10.1137/1.9781611973198.4zbMath1429.68328arXiv1310.0710OpenAlexW1481632020MaRDI QIDQ5232488

Michael Kerber, Jan Reininghaus, Ulrich Bauer

Publication date: 12 September 2019

Published in: 2014 Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments (ALENEX) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0710

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Distributed algorithms (68W15)

Related Items (18)

Persistent Homology: A Topological Tool for Higher-Interaction Systems ⋮ Aspects of topological approaches for data science ⋮ Unnamed Item ⋮ Homology of configuration spaces of hard squares in a rectangle ⋮ Local computation of homology variations over a construction process ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Geometric Metrics for Topological Representations ⋮ Singular persistent homology with geometrically parallelizable computation ⋮ Discrete Morse theory for computing zigzag persistence ⋮ Ripser: efficient computation of Vietoris-Rips persistence barcodes ⋮ \textsc{Phat} -- persistent homology algorithms toolbox ⋮ Persistent homology in \(\ell_\infty\) metric ⋮ HERMES: persistent spectral graph software ⋮ Generalized persistence algorithm for decomposing multiparameter persistence modules ⋮ A simplified algorithm for identifying abnormal changes in dynamic networks ⋮ Biomolecular topology: modelling and analysis ⋮ Metric Spaces with Expensive Distances ⋮ Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology

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