ArticleJournal of computational science2024
Dory: Computation of persistence diagrams up to dimension two for Vietoris-Rips filtrations of large data sets.
Article in Journal of computational science, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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1 citing paper in PubMed.
- Topological Approach to Void Finding Applied to the SDSS Galaxy Map.The Astrophysical journal · 2024Article
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Abstract
Persistent homology (PH) is an approach to topological data analysis (TDA) that computes multi-scale topologically invariant properties of high-dimensional data that are robust to noise. While PH has revealed useful patterns across various applications, computational requirements have limited applications to small data sets of a few thousand points. We present Dory, an efficient and scalable algorithm that can compute the persistent homology of sparse Vietoris-Rips complexes on larger data sets, up to and including dimension two and over the field
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