SimBa

DOI10.1145/3284360OpenAlexW2963197769MaRDI QIDQ4629537

Dayu Shi, Yusu Wang, Tamal Krishna Dey

Publication date: 27 March 2019

Published in: ACM Journal of Experimental Algorithmics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/3284360

zbMATH Keywords

approximationsimplicial mapstopological data analysispersistent homologyrips filtration

Mathematics Subject Classification ID

Algorithms in computer science (68Wxx)

Related Items (3)

The Persistent Homology of Cyclic Graphs ⋮ Universality of the homotopy interleaving distance ⋮ SimBa

Uses Software

• UCI-ml
• Gudhi
• PHAT
• Dionysus
• ANN
• SimPers

Cites Work

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• The Simplex Tree: An Efficient Data Structure for General Simplicial Complexes
• Persistent cohomology and circular coordinates
• \textsc{Phat} -- persistent homology algorithms toolbox
• Stability of persistence diagrams
• The compressed annotation matrix: an efficient data structure for computing persistent cohomology
• The theory of multidimensional persistence
• Extending persistence using Poincaré and Lefschetz duality
• Computing persistent homology
• Topological persistence and simplification
• Zigzag persistence
• Linear-size approximations to the Vietoris-Rips filtration
• Topological persistence for circle-valued maps
• On the Nonlinear Statistics of Range Image Patches
• The Structure and Stability of Persistence Modules
• Clear and Compress: Computing Persistent Homology in Chunks
• A distance for similarity classes of submanifolds of a Euclidean space
• Topology and data
• Computing Topological Persistence for Simplicial Maps
• Efficient and Robust Persistent Homology for Measures
• Visualizing Sparse Filtrations.
• Proximity of persistence modules and their diagrams
• Persistence-based clustering in riemannian manifolds

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