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R Package TDA for Statistical Inference on Topological Data Analysis

Banff International Research Station for Mathematical Innovation and Discovery

This presentation gives an introduction to the R package TDA, which provides some tools for Topological Data Analysis. The salient topological features of data can be quantified with persistent homology. The R package TDA provide an R interface for the efficient algorithms of the C++ libraries GUDHI, Dionysus, and PHAT. Specifically, The R package TDA includes functions for computing the persistent homology of the Rips complex, alpha complex, and alpha shape complex, and a function for the persistent homology of sublevel sets (or superlevel sets) of arbitrary functions evaluated over a grid of points. The R package TDA also provides a function for computing the confidence band that determines the significance of the features in the resulting persistence diagrams.

Mathematics; Biology and other natural sciences; Algebraic topology; Mathematical biology

video/mp4

Author affiliation: Carnegie Mellon University

2017-11-05

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/63539

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/