Delaunay4Points

Calculates the adjacency matrix of the delaunay graph for BestMatches (BMs) in tiled form if BestMatches are located on a toroid grid

points

Delaunay

A clustering approach applicable to every projection method is proposed here. The two-dimensional scatter plot of any projection method can construct a topographic map which displays unapparent data structures by using distance and density information of the data. The generalized U*-matrix renders this visualization in the form of a topographic map, which can be used to automatically define the clusters of high-dimensional data. The whole system is based on Thrun and Ultsch, "Using Projection based Clustering to Find Distance and Density based Clusters in High-Dimensional Data" <DOI:10.1007/s00357-020-09373-2>. Selecting the correct projection method will result in a visualization in which mountains surround each cluster. The number of clusters can be determined by counting valleys on the topographic map. Most projection methods are wrappers for already available methods in R. By contrast, the neighbor retrieval visualizer (NeRV) is based on C++ source code of the 'dredviz' software package, the t-SNE multicore version is based on C++ source code of Dmitry Ulyanov, and the Curvilinear Component Analysis (CCA) is translated from 'MATLAB' ('SOM Toolbox' 2.0) to R.

Michael Thrun

ProjectionBasedClustering

Projection Based Clustering

Quirin Stier

Brinkmann Luca

Florian Lerch

Felix Pape

Tim Schreier

Luis Winckelmann

Kristian Nybo

Jarkko Venna

Ulyanov Dimitry 

van der Maaten Laurens

Delaunay4Points function

<dl> <dt>Points</dt>
<dd>[1:n,1:3] matrix containing the BMKey, X and Y coordinates of the n, BestMatches NEED NOT BE UNIQUE, however, there is an edge in the Deaunay between duplicate points!</dd> <dt>IsToroid</dt>
<dd>OPTIONAL, logical, indicating if BM's are on a toroid grid. Default is True</dd> <dt>Grid</dt>
<dd>OPTIONAL, A vector of length 2, containing the number of lines and columns of the Grid</dd> <dt>PlotIt</dt>
<dd>OPTIONAL, bool, Plots the graph</dd></dl>

Arguments

Author

Adjacency matrix of the delaunay graph for BestMatches of Points — Delaunay4Points

<dl>

 <dt>Points</dt>
<dd>[1:n,1:3] matrix containing the BMKey, X and Y coordinates of the n, BestMatches NEED NOT BE UNIQUE, however, there is an edge in the Deaunay between duplicate points!</dd>

 <dt>IsToroid</dt>
<dd>OPTIONAL, logical, indicating if BM's are on a toroid grid. Default is True</dd>

 <dt>Grid</dt>
<dd>OPTIONAL, A vector of length 2, containing the number of lines and columns of the Grid</dd>

 <dt>PlotIt</dt>
<dd>OPTIONAL, bool, Plots the graph</dd>

</dl>

Adjacency matrix of the delaunay graph for BestMatches of Points

Delaunay4Points: Adjacency matrix of the delaunay graph for BestMatches of Points

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Usage

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Arguments

Author

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