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IPS184 Celestino G. et al.
                This exercise has been run with a limited number of indicators, the sector
            imbalances, as a proof of concept for the proposed approach based on SOM.
            Future work will extend the methodology to a larger number of indicators in
            order to cover different aspects of the financial situation, e.g. indebtedness,
            assets and net worth, as well as holding gain and losses, all in order to deepen
            the  analysis  of  financial  developments.  Such  extensions  will  increase
            remarkably the dimensionality of the exercise. To help in the analysis of the
            results, the data will be pre-processed through PCA. This note also contains
            an application of this extension to improve the visualisation of the results of
            the clustering on the basis of sectoral net lending.

            References
            1.  Kohonen, T. (1982): "Self-Organized Formation of Topologically Correct
                 Feature Maps". Biological Cybernetics. 43 (1): 59–69.
            2.  López Iturriaga, F. J. and I. Pastor (2013): “Self-organizing maps as a tool
                 to compare financial macroeconomic imbalances: The European, Spanish
                 and German case”. Spanish Review of Financial Economics. Vol. 11 (2):
                 47-94.
            3.  Pearson, K. (1901): "On Lines and Planes of Closest Fit to Systems of
                 Points in Space". Philosophical Magazine. 2 (11): 559–572.
            4.  Peltonen, T. and P.; Sarlin (2011): “Mapping the state of financial
                 stability”. European Central Bank Working Paper series no 1382.
                 Available at https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp1382.pdf
                 (accessed April 2019).


































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