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. The package focuses on statistical analysis of persistent homology and density clustering. For that, this package provides an R interface for the efficient algorithms of the C++ libraries GUDHI, Dionysus and PHAT. This package also implements methods from Fasy et al. (2014) and Chazal et al. (2015) for analyzing the statistical significance of persistent homology features.

Details

Package:	TDA
Version:	1.9.4
Date:	2025-02-01
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 (2014). "Confidence Sets for Persistence Diagrams." Annals of Statistics. (arXiv:1303.7117)

Chazal F, Fasy BT, Lecci F, Rinaldo A, Wasserman L (2015). "Stochastic Convergence of Persistence Landscapes and Silhouettes." Journal of Computational Geometry. (arXiv:1312.0308)

Chazal F, Fasy BT, Lecci F, Michel B, Rinaldo A, Wasserman L (2015a). "Subsampling Methods for Persistent Homology." Proceedings of the 32nd International Conference on Machine Learning (ICML). (arXiv:1406.1901)

Chazal F, Fasy BT, Lecci F, Michel B, Rinaldo A, Wasserman L (2017). "Robust Topological Inference: Distance-To-a-Measure and Kernel Distance." Journal of Machine Learning Research. (arXiv:1412.7197)

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 April 3, 2025, 9 p.m.