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Found 4 papers, 4 papers with code
Train-Free Segmentation in MRI with Cubical Persistent Homology
We describe a new general method for segmentation in MRI scans using Topological Data Analysis (TDA), offering several advantages over traditional machine learning approaches.
Computing persistent Stiefel-Whitney classes of line bundles
When the dataset is a finite sample of a line bundle, we implement an effective algorithm to compute its persistent Stiefel-Whitney classes.
Algebraic Topology
Recovering the homology of immersed manifolds
Given a sample of an abstract manifold immersed in some Euclidean space, we describe a way to recover the singular homology of the original manifold.
Computational Geometry Differential Geometry 55N31, 53C42, 53C20, 49Q15, 49Q22, 68U05
DTM-based Filtrations
Despite strong stability properties, the persistent homology of filtrations classically used in Topological Data Analysis, such as, e. g. the Cech or Vietoris-Rips filtrations, are very sensitive to the presence of outliers in the data from which they are computed.
Computational Geometry Algebraic Topology
