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TDA (version 1.3)

Statistical Tools for Topological Data Analysis

Description

This package provides tools for the statistical analysis of persistent homology and for density clustering.

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Version

Install

install.packages('TDA')

Monthly Downloads

6,390

Version

1.3

License

GPL-3

Maintainer

Fabrizio Lecci

Last Published

December 22nd, 2014

Functions in TDA (1.3)

bottleneck

Bottleneck distance between two persistence diagrams
plot.diagram

Plot the Persistence Diagram
circleUnif

Uniform Sample From The Circle
wasserstein

Wasserstein distance between two persistence diagrams
gridDiag

Persistence Diagram of a function over a Grid
kernelDist

Kernel distance over a Grid of Points
bootstrapDiagram

Bootstrapped Confidence Set for a Persistence Diagram, using the Bottleneck Distance (or the Wasserstein distance).
bootstrapBand

Bootstrap Confidence Band
landscape

The Persistence Landscape Function
knnDE

k Nearest Neighbors Density Estimator over a Grid of Points
ripsDiag

Rips Persistence Diagram
kde

Kernel Density Estimator over a Grid of Points
multipBootstrap

Multiplier Bootstrap for Persistence Landscapes and Silhouettes
torusUnif

Uniform Sample From The 3D Torus
silhouette

The Persistence Silhouette Function
plot.clusterTree

Plots the Cluster Tree
sphereUnif

Uniform Sample From The Sphere $S^d$
clusterTree

Density clustering: the cluster tree
maxPersistence

Maximal Persistence Method
summary.diagram

print and summary for diagram
dtm

Distance to Measure Function
distFct

Distance function
TDA-package

Statistical Tools for Topological Data Analysis
hausdInterval

Subsampling Confidence Interval for the Hausdorff Distance between a Manifold and a Sample
plot.maxPersistence

Summary plot for the maxPersistence function