HERMES: persistent spectral graph software

DOI10.3934/fods.2021006zbMath1482.55001arXiv2012.11065OpenAlexW3138008475WikidataQ111900512 ScholiaQ111900512MaRDI QIDQ2069947

Emily Ribando-Gros, Yiying Tong, Jiahui Chen, Rui Wang, Run-Dong Zhao, Guo-Wei Wei

Publication date: 21 January 2022

Published in: Foundations of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11065

zbMATH Keywords

spectral graph theorytopological data analysispersistent homologyspectral data analysispersistent Laplaciansimultaneous geometric and topological analyses

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to algebraic topology (55-04) Computational methods for problems pertaining to biology (92-08)

Related Items (6)

Persistent Laplacians: Properties, Algorithms and Implications ⋮ Persistent hyperdigraph homology and persistent hyperdigraph Laplacians ⋮ Persistent path Laplacian ⋮ Homotopy continuation for the spectra of persistent Laplacians ⋮ Biomolecular topology: modelling and analysis ⋮ HERMES

Uses Software

• Gudhi
• javaPlex
• Dionysus
• TDA
• GitHub
• Ripser
• DIPHA
• CliqueTop
• DioDe
• TopologyNet
• AGL-Score

Cites Work

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• Morse theory for filtrations and efficient computation of persistent homology
• De Rham-Hodge theory for Riemannian foliations
• Computing Betti numbers via combinatorial Laplacians
• Computational homology
• Computing persistent homology
• Evolutionary de Rham-Hodge method
• Centrality measures in simplicial complexes: applications of topological data analysis to network science
• The de Rham-Hodge analysis and modeling of biomolecules
• The embedded homology of hypergraphs and applications
• A statistical approach to persistent homology
• Coverage in sensor networks via persistent homology
• Harmonic functions and boundary value problems on a chain complex
• Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks
• Voronoi Diagrams and Delaunay Triangulations
• javaPlex: A Research Software Package for Persistent (Co)Homology
• Clique topology reveals intrinsic geometric structure in neural correlations
• Computing Topological Persistence for Simplicial Maps
• A Bayesian Topological Framework for the Identification and Reconstruction of Subcellular Motion
• 3D Kinetic Alpha Complexes and Their Implementation
• Distributed Computation of Persistent Homology
• Zigzag persistent homology and real-valued functions
• PERSISTENCE BARCODES FOR SHAPES

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