ProjectedPoints2Grid

quantized xy cartesianncoordinates of ProjectedPoints

GeneratePswarmVisualization

generlized Umatrix

Algorithms implementing populations of agents that interact with one another and sense their environment may exhibit emergent behavior such as self-organization and swarm intelligence. Here, a swarm system called Databionic swarm (DBS) is introduced which was published in Thrun, M.C., Ultsch A.: "Swarm Intelligence for Self-Organized Clustering" (2020), Artificial Intelligence, <DOI:10.1016/j.artint.2020.103237>. DBS is able to adapt itself to structures of high-dimensional data such as natural clusters characterized by distance and/or density based structures in the data space. The first module is the parameter-free projection method called Pswarm (Pswarm()), which exploits the concepts of self-organization and emergence, game theory, swarm intelligence and symmetry considerations. The second module is the parameter-free high-dimensional data visualization technique, which generates projected points on the topographic map with hypsometric tints defined by the generalized U-matrix (GeneratePswarmVisualization()). The third module is the clustering method itself with non-critical parameters (DBSclustering()). Clustering can be verified by the visualization and vice versa. The term DBS refers to the method as a whole. It enables even a non-professional in the field of data mining to apply its algorithms for visualization and/or clustering to data sets with completely different structures drawn from diverse research fields. The comparison to common projection methods can be found in the book of Thrun, M.C.: "Projection Based Clustering through Self-Organization and Swarm Intelligence" (2018) <DOI:10.1007/978-3-658-20540-9>.

Michael Thrun

DatabionicSwarm

Swarm Intelligence for Self-Organized Clustering

Quirin Stier

ProjectedPoints2Grid function

<dl><dt>ProjectedPoints</dt>
<dd>[1:n,1:2] numeric matrix of cartesian xy coordinates</dd><dt>Lines</dt>
<dd>double, length of small side of the rectangular grid</dd><dt>Columns</dt>
<dd>double, length of big side of the rectangular grid</dd><dt>PlotIt</dt>
<dd>optional, bool, shows the result if TRUE</dd></dl>

Arguments

Author

Transforms ProjectedPoints to a grid — ProjectedPoints2Grid

<dl>

<dt>ProjectedPoints</dt>
<dd>[1:n,1:2] numeric matrix of cartesian xy coordinates</dd>

<dt>Lines</dt>
<dd>double, length of small side of the rectangular grid</dd>

<dt>Columns</dt>
<dd>double, length of big side of the rectangular grid</dd>

<dt>PlotIt</dt>
<dd>optional, bool, shows the result if TRUE</dd>

</dl>

ProjectedPoints2Grid: Transforms ProjectedPoints to a grid

Description

Usage

Value

Arguments

Author

Details

References

See Also