TDA-package: Statistical Tools for Topological Data Analysis

In TDA: Statistical Tools for Topological Data Analysis

Statistical Tools for Topological Data Analysis

Description

Tools for Topological Data Analysis. In particular it provides functions for the statistical analysis of persistent homology and for density clustering. For that, this package provides an R interface for the efficient algorithms of the C++ libraries GUDHI, Dionysus and PHAT.

Details

Package:	TDA
Type:	Package
Version:	1.9.1
Date:	2024-01-23
License:	GPL-3

Author(s)

Brittany Terese Fasy, Jisu Kim, Fabrizio Lecci, Clement Maria, David L. Millman, and Vincent Rouvreau

Maintainer: Jisu Kim <[e-mail]>

References

Edelsbrunner H, Harer J (2010). "Computational topology: an introduction." American Mathematical Society.

Fasy BT, Lecci F, Rinaldo A, Wasserman L, Balakrishnan S, Singh A (2013). "Statistical Inference For Persistent Homology: Confidence Sets for Persistence Diagrams", (arXiv:1303.7117). To appear, Annals of Statistics.

Chazal F, Fasy BT, Lecci F, Michel B, Rinaldo A, Wasserman L (2014). "Robust Topological Inference: Distance-To-a-Measure and Kernel Distance." Technical Report.

Chazal F, Fasy BT, Lecci F, Rinaldo A, Wasserman L (2014). "Stochastic Convergence of Persistence Landscapes and Silhouettes." Proceedings of the 30th Symposium of Computational Geometry (SoCG). (arXiv:1312.0308)

Chazal F, Fasy BT, Lecci F, Michel B, Rinaldo A, Wasserman L (2014). "Subsampling Methods for Persistent Homology." (arXiv:1406.1901)

Maria C (2014). "GUDHI, Simplicial Complexes and Persistent Homology Packages." https://project.inria.fr/gudhi/software/.

Morozov D (2007). "Dionysus, a C++ library for computing persistent homology." https://www.mrzv.org/software/dionysus/.

Bauer U, Kerber M, Reininghaus J (2012). "PHAT, a software library for persistent homology". https://bitbucket.org/phat-code/phat/.

TDA documentation built on May 29, 2024, 1:28 a.m.