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SOMbrero (version 1.2)

SOMbrero: Self Organizing Maps Bound to Realize Euclidean and Relational Outputs

Description

This package implements the stochastic (also called on-line) Self-Organising Map (SOM) algorithm for numeric and relational data.

It is based on a grid (see initGrid) which is part of the parameters given to the algorithm (see initSOM and trainSOM). Many graphs can help you with the results (see plot.somRes).

Arguments

Details

Package:
SOMbrero
Type:
Package
Version:
1.2
Date:
2016-09-02
The version of the SOM algorithm implemented in this package is the stochastic version.

Several variants able to handle non-vectorial data are also implemented in their stochastic versions: type="korresp" for contingency tables, as described in Cottrel et al., 1993 (with the observation weights defined in Cottrel and Letremy, 2005) and type="relational" for dissimilarity data, as described in Olteanu and Villa-Vialaneix, 2015a with the fast implementation of Mariette et al., 2016. A special focus has been put on representing graphs, as described in Olteanu and Villa-Vialaneix, 2015b.

References

Kohonen T. (2001) Self-Organizing Maps. Berlin/Heidelberg: Springer-Verlag, 3rd edition.

Cottrell, M., Letremy, P., Roy, E. (1993) Analyzing a contingency table with Kohonen maps: a Factorial Correspondence Analysis. In: Proceedings of IWANN'93, J. Cabestany, J. Mary, A. Prieto (Eds.), Lecture Notes in Computer Science, Springer-Verlag, 305--311.

Cottrell, M., Letremy, P. (2005) How to use the Kohonen algorithm to simultaneously analyse individuals in a survey. Neurocomputing, 21, 119--138.

Letremy, P. (2005) Programmes bases sur l'algorithme de Kohonen et dedies a l'analyse des donnees. SAS/IML programs for 'korresp'. http://samos.univ-paris1.fr/Programmes-bases-sur-l-algorithme.

Mariette, J. and Rossi, F. and Olteanu, M. and Mariette, J. (2016) Fast implementation of on-line relation SOM. Technical report.

Olteanu, M., Villa-Vialaneix, N. (2015a) On-line relational and multiple relational SOM. Neurocomputing, 147, 15-30.

Olteanu, M., Villa-Vialaneix, N. (2015b) Using SOMbrero for clustering and visualizing graphs. Journal de la Societe Francaise de Statistique. Under revision.

Rossi, F. (2013) yasomi: Yet Another Self-Organising Map Implementation. R package, version 0.3. https://github.com/fabrice-rossi/yasomi

See Also

initGrid, trainSOM, plot.somRes and sombreroGUI.