SOMnia constructs Self-Organizing Maps. It employs Teuvo Kohonen's competitive learning algorithm to approximate high-dimensional data with a two-dimensional grid ('map').

For an introduction see Hertz, J., Krogh, A., Palmer, R. G. (1991), Introduction to the theory of neural computation, Reading, MA: Addison-Wesley, pp. 217-228, 232-246.

Sample applications are reported in Mazanec, J. A. (1995), 'Competition among European Tourist Cities: A Comparative Analysis with Multidimensional Scaling and Self-Organizing Maps', Tourism Economics, Vol. 1, Nr. 3, pp. 283-302 and in Mazanec, J. A. (1995), 'Positioning Analysis with Self-Organizing Maps, An Exploratory Study on Luxury Hotels', The Cornell Hotel & Restaurant Administration Quarterly, Vol. 36, Nr. 6, pp. 80-95. The data used in these analyses are available in the test data files CITY468.DAT (26 cities * 18 years = 468 cases) and HOTEL152.DAT (4 hotels * 38 respondents = 152 cases).

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