The trainSOM function returns a somRes class object which contains the outputs of the algorithm.

trainSOM(, ...)

# S3 method for somRes
print(x, ...)

# S3 method for somRes
summary(object, ...)


a data frame or matrix containing the observations to be mapped on the grid by the SOM algorithm.


Further arguments to be passed to the function initSOM for specifying the parameters of the algorithm. The default values of the arguments maxit and dimension are calculated according to the SOM type if the user does not set them:

  • maxit is equal to (number of rows+number of columns)*5 if the SOM type is korresp. It is equal to number of rows*5 in all other SOM types

  • dimension: for a korresp SOM, is approximately equal to the square root of the number of observations to be classified divided by 10 but it is never smaller than 5 or larger than 10.


an object of class somRes.


an object of class somRes.


The trainSOM function returns an object of class somRes which contains the following components:

  • clusteringthe final classification of the data.

  • prototypesthe final coordinates of the prototypes.

  • energythe final energy of the map.

  • backupa list containing some intermediate backups of the prototypes coordinates, clustering, energy and the indexes of the recorded backups, if is set to a value larger than 1.

  • datathe original dataset used to train the algorithm.

  • parametersa list of the map's parameters, which is an object of class paramSOM as produced by the function initSOM.

The function summary.somRes also provides an ANOVA (ANalysis Of VAriance) of each input numeric variables in function of the map's clusters. This is helpful to see which variables participate to the clustering.


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 Cottrell et al., 2004 (with weights as in Cottrel and Letremy, 2005); type="relational" for dissimilarity matrices, as described in Olteanu et al., 2015, with the fast implementation introduced in Mariette et al., 2017.

summary produces a complete summary of the results that displays the parameters of the SOM, quality criteria and ANOVA. For type="numeric" the ANOVA is performed for each input variable and test the difference of this variable accross the clsuters of the map. For type="relational" a dissimilarity ANOVA is performed (see (Anderson, 2001), except that in the present version, a crude estimate of the p-value is used which is based on the Fisher distribution and not on a permutation test.


Warning! Recording intermediate backups with the argument can strongly increase the computational time since calculating the entire clustering and the energy is time consumming. Use this option with care and only when it is strictly necessary.


Anderson M.J. (2001). A new method for non-parametric multivariate analysis of variance. Austral Ecology, 26, 32-46.

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

Cottrell M., Ibbou S., Letremy P. (2004) SOM-based algorithms for qualitative variables. Neural Networks, 17, 1149-1167.

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

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

Mariette J., Rossi F., Olteanu M., Mariette J. (2017) Accelerating stochastic kernel SOM. In: M. Verleysen, XXVth European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), i6doc, Bruges, Belgium, 269-274.

See also

See initSOM for a description of the paramaters to pass to the trainSOM function to change its behavior and plot.somRes to plot the outputs of the algorithm.


# Run trainSOM algorithm on the iris data with 500 iterations iris.som <- trainSOM([,1:4]) iris.som
#> Self-Organizing Map object... #> online learning, type: numeric #> 5 x 5 grid with square topology #> neighbourhood type: gaussian #> distance type: euclidean
#> #> Summary #> #> Class : somRes #> #> Self-Organizing Map object... #> online learning, type: numeric #> 5 x 5 grid with square topology #> neighbourhood type: gaussian #> distance type: euclidean #> #> Final energy : 0.8543395 #> Topographic error: 0.07333333 #> #> ANOVA : #> #> Degrees of freedom : 14 #> #> F pvalue significativity #> Sepal.Length 42.669 0 *** #> Sepal.Width 18.012 0 *** #> Petal.Length 295.589 0 *** #> Petal.Width 160.906 0 *** #>