Self-Organizing Map

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Encyclopedia of Quality of Life and Well-Being Research
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Synonyms

Artificial neural network; Clustering; Unsupervised learning algorithm

Definition

SOM is a clustering and projecting algorithm that extracts meaningful patterns from complex data and displays them in an orderly fashion (Kohonen 1982, 2001).

Developed by Kohonen in the early 1980s (Kohonen 1982, 2001, 2014) the Self-Organizing Map (SOM) is an unsupervised neural network that projects a high multidimensional dataset into a lower dimensional grid of ordered nodes or units.

The Self-Organizing Map can be defined as a vector quantizer, or more simply a spatially constrained form of k-means clustering, that learns from multidimensional data and presents them into a map of fewer dimensions (Ripley 1996). The output is a discretized representation of the input space of the training samples, generally a two-dimensional grid of mhexagonal cells. This is one of the best characteristics of the Self-Organizing Map that, as we will see, can translate, without strong statistical...

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References

  • Arcagni, A., Barbiano di Belgiojoso, E., Fattore, M., & Rimoldi, S. (2019). Multidimensional analysis of deprivation and fragility patterns of migrants in Lombardy, using partially ordered sets and self-organizing maps. Social Indicators Research, 141, 551–579.

    Article  Google Scholar 

  • Asan, U., & Ercan, S. (2012). An introduction to self-organizing maps. In C. Kahraman (Ed.), Computational intelligence systems in industrial engineering: With recent theory and applications (pp. 295–315). Paris: Atlantis Press.

    Chapter  Google Scholar 

  • Assi, J., Lucchini, M., & Spagnolo, A. (2012). Map** patterns of Well-being and quality of life in extended Europe. International Review of Economics, 59, 409–430.

    Article  Google Scholar 

  • Crivelli, L., Della, B. S., & Lucchini, M. (2016). Multidimensional Well-being in contemporary Europe: An analysis of the use of self organizing map applied to SHARE data. In J. Sachs, L. Becchetti, & A. Annett (Eds.), World happiness report 2016. New York: The Earth Institute Columbia University.

    Google Scholar 

  • De Wilde, C. (2008). Multidimensional poverty in Europe: Institutional and individual determinants. Social Indicators Research, 83, 233–256.

    Google Scholar 

  • Kirt, T., & Vainik, E. (2007). Comparison of the methods of self-organizing maps and multidimensional scaling in analysis of Estonian emotion concepts. In J. Nivre, H. J. Kaalep, K. Muiscnek, & M. Koit (Eds.), Proceedings of the 16th Nordic conference of computational linguistics. Estonia: University of Tartu.

    Google Scholar 

  • Kohonen, T. (1982). Self-organized formation of topologically correct feature maps. Biological Cybernetics, 43, 59–69.

    Article  Google Scholar 

  • Kohonen, T. (2001). Self-Organizing Maps. Berlin: Springer.

    Book  Google Scholar 

  • Kohonen, T. (2014). MATLAB implementations and applications of the self-organizing map. Unigrafia Oy: Helsinki.

    Google Scholar 

  • Lucchini, M., & Assi, J. (2012). Map** patterns of multiple deprivation and Well-being using self-organizing maps: An application to Swiss household panel data. Social Indicators Research, 112, 129–149.

    Google Scholar 

  • Lucchini, M., & Sarti, S. (2005). Il Benessere e la deprivazione delle famiglie Italiane. Stato e Mercato, 74, 231–266.

    Google Scholar 

  • Lucchini, M., Butti, C., Assi, J., Spini, D., & Bernardi, L. (2014). Multidimensional deprivation in contemporary Switzerland across social groups and time. Sociological Research Online, 19. https://journals.sagepub.com/doi/10.5153/sro.3260

  • Moiso, P. (2005). A latent class application to the multidimensional measurement of poverty. Quality and Quantity, 38, 703–717.

    Article  Google Scholar 

  • Pisati, M., Whelan, C. T., Lucchini, M., & Maitre, B. (2010). Map** patterns of multiple deprivation using self-organising maps: An application to EU-SILC data for Ireland. Social Science Research, 39, 405–418.

    Article  Google Scholar 

  • Ripley, B. D. (1996). Pattern recognition and neural networks. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Rumelhart, D., & McClelland, J. (1986). Parallel distributed processing: Explorations in the microstructure of cognition. Cambridge: MIT Press.

    Book  Google Scholar 

  • Sen, A. K. (1985). Commodities and capabilities. Amsterdam: OUP India.

    Google Scholar 

  • Sen, A. K. (2000). Social justice and the distribution of income. In A. B. Atkinson & F. Bourguignon (Eds.), Handbook of income distribution (pp. 59–85). Oxford: Elsevier.

    Chapter  Google Scholar 

  • Vesanto, J., Himberg, J., Alhoniemi, E., & Parhankangas, J. (2000). SOM toolbox for Matlab 5. Rep, 57, 1–59.

    Google Scholar 

  • Whelan, C. T., & Maître, B. (2005). Economic vulnerability, multi-dimensional deprivation and social cohesion in an enlarged European Union. International Journal of Comparative Sociology, 46, 215–239.

    Article  Google Scholar 

  • Whelan, C. T., & Maître, B. (2007). Levels and patterns of multiple deprivation in Ireland: After the Celtic Tiger. European Sociological Review, 23, 139–156.

    Article  Google Scholar 

  • Whelan, C. T., Lucchini, M., Pisati, M., & Maitre, B. (2010). Understanding the socio-economic distribution of multiple deprivation: An application of self-organising maps. Research in Social Stratification and Mobility, 28, 325–342.

    Article  Google Scholar 

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Correspondence to Mario Lucchini .

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Lucchini, M., Bussi, D. (2021). Self-Organizing Map. In: Maggino, F. (eds) Encyclopedia of Quality of Life and Well-Being Research. Springer, Cham. https://doi.org/10.1007/978-3-319-69909-7_104673-1

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  • DOI: https://doi.org/10.1007/978-3-319-69909-7_104673-1

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  • Print ISBN: 978-3-319-69909-7

  • Online ISBN: 978-3-319-69909-7

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