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TDA (version 1.0)

Statistical Tools for Topological Data Analysis

Description

This package provides some tools for Topological Data Analysis. In particular it provides functions for the statistical analysis of persistent homology and for density clustering.

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Version

Install

install.packages('TDA')

Monthly Downloads

930

Version

1.0

License

GPL (>= 2.0)

Maintainer

Fabrizio Lecci

Last Published

August 19th, 2014

Functions in TDA (1.0)

plot.clusterTree

Plots the Cluster Tree

hausdInterval

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

plot.maxPersistence

Plots the Persistence Diagram

distFct

Distance function

dtm

Distance to Measure Function

torusUnif

Uniform Sample From The 3D Torus

bottleneckInterval

Bootstrapped Confidence Set for a Persistence Diagram, using the Bottlenck Distance.

plot.diagram

Plots the Persistence Diagram

bottleneck

Bottleneck distance between two persistence diagrams

circleUnif

Uniform Sample From The Circle

kde

Kernel Density Estimator over a Grid of Points

maxPersistence

Maximal Persistence Method

kernelDist

Kernel distance over a Grid of Points

ripsDiag

Rips Persitence Diagram

multipBootstrap

Multiplier Bootstrap for Persistence Landscapes and Silhouettes

gridDiag

Persistence Diagram of a function over a Grid

silhouette

The Persistence Silhouette Function

wasserstein

Wasserstein distance between two persistence diagrams

TDA-package

Statistical Tools for Topological Data Analysis

landscape

The Persistence Landscape Function

summary.diagram

print and summary for diagram

clusterTree

Density clustering: the cluster tree

bootstrapBand

Bootstrap Confidence Band

knnDE

k Nearest Neighbors Density Estimator over a Grid of Points