ripserr - Calculate Persistent Homology with Ripser-Based Engines

Ports the Ripser <arxiv:1908.02518> and Cubical Ripser <arxiv:2005.12692> persistent homology calculation engines from C++. Can be used as a rapid calculation tool in topological data analysis pipelines.

Last updated 9 hours ago

algebraic-topologycohomologycppcubical-complexpersistent-homologypixelpoint-cloudr-languager-programmingrcpprips-complexripsersimplicial-complexsimplicial-homologytopological-data-analysistopologyvietoris-complexvoxelcpp

6.16 score 8 stars 6 scripts 142 downloads

tdaunif - Uniform Manifold Samplers for Topological Data Analysis

Uniform random samples from simple manifolds, sometimes with noise, are commonly used to test topological data analytic (TDA) tools. This package includes samplers powered by two techniques: analytic volume-preserving parameterizations, as employed by Arvo (1995) <doi:10.1145/218380.218500>, and rejection sampling, as employed by Diaconis, Holmes, and Shahshahani (2013) <doi:10.1214/12-IMSCOLL1006>.

Last updated 10 months ago

manifoldssamplertdatopological-data-analysistopological-statistics

4.95 score 3 stars 8 scripts 158 downloads

interplex - Coercion Methods for Simplicial Complex Data Structures

Computational topology, which enables topological data analysis (TDA), makes pervasive use of abstract mathematical objects called simplicial complexes; see Edelsbrunner and Harer (2010) <doi:10.1090/mbk/069>. Several R packages and other software libraries used through an R interface construct and use data structures that represent simplicial complexes, including mathematical graphs viewed as 1-dimensional complexes. This package provides coercers (converters) between these data structures. Currently supported structures are complete lists of simplices as used by 'TDA'; the simplex trees of Boissonnat and Maria (2014) <doi:10.1007/s00453-014-9887-3> as implemented in 'simplextree' and in Python GUDHI (by way of 'reticulate'); and the graph classes of 'igraph' and 'network', by way of the 'intergraph' package.

Last updated 1 years ago

2.70 score 1 stars 132 downloads