Statistical Tools for Topological Data Analysis


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Documentation for package ‘TDA’ version 1.9.1

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TDA-package Statistical Tools for Topological Data Analysis
alphaComplexDiag Alpha Complex Persistence Diagram
alphaComplexFiltration Alpha Complex Filtration
alphaShapeDiag Persistence Diagram of Alpha Shape in 3d
alphaShapeFiltration Alpha Shape Filtration in 3d
bootstrapBand Bootstrap Confidence Band
bootstrapDiagram Bootstrapped Confidence Set for a Persistence Diagram, using the Bottleneck Distance (or the Wasserstein distance).
bottleneck Bottleneck distance between two persistence diagrams
circleUnif Uniform Sample From The Circle
clusterTree Density clustering: the cluster tree
distFct Distance function
dtm Distance to Measure Function
filtrationDiag Persistence Diagram of Filtration
funFiltration Filtration from function values
gridDiag Persistence Diagram of a function over a Grid
gridFiltration Persistence Diagram of a function over a Grid
hausdInterval Subsampling Confidence Interval for the Hausdorff Distance between a Manifold and a Sample
kde Kernel Density Estimator over a Grid of Points
kernelDist Kernel distance over a Grid of Points
knnDE k Nearest Neighbors Density Estimator over a Grid of Points
landscape The Persistence Landscape Function
maxPersistence Maximal Persistence Method
multipBootstrap Multiplier Bootstrap for Persistence Landscapes and Silhouettes
plot.clusterTree Plots the Cluster Tree
plot.diagram Plot the Persistence Diagram
plot.maxPersistence Summary plot for the maxPersistence function
print.clusterTree Density clustering: the cluster tree
print.diagram 'print' and 'summary' for 'diagram'
print.maxPersistence Maximal Persistence Method
print.summary.diagram 'print' and 'summary' for 'diagram'
print.summary.maxPersistence Maximal Persistence Method
ripsDiag Rips Persistence Diagram
ripsFiltration Rips Filtration
silhouette The Persistence Silhouette Function
sphereUnif Uniform Sample From The Sphere S^d
summary.diagram 'print' and 'summary' for 'diagram'
summary.maxPersistence Maximal Persistence Method
TDA Statistical Tools for Topological Data Analysis
torusUnif Uniform Sample From The 3D Torus
wasserstein Wasserstein distance between two persistence diagrams