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.
Brittany Terese Fasy, Jisu Kim, Fabrizio Lecci, Clement Maria, David L. Millman, and Vincent Rouvreau
Maintainer: Jisu Kim <jisu.kim@inria.fr>
| Package: | TDA |
| Type: | Package |
| Version: | 1.9.1 |
| Date: | 2024-01-23 |
| License: | GPL-3 |
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/ .