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Improving Performance of Self-Organising Maps with Distance Metric Learning Method

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Artificial Intelligence and Soft Computing (ICAISC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7267))

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Abstract

Self-Organising Maps (SOM) are Artificial Neural Networks used in Pattern Recognition tasks. Their major advantage over other architectures is human readability of a model. However, they often gain poorer accuracy. Mostly used metric in SOM is the Euclidean distance, which is not the best approach to some problems. In this paper, we study an impact of the metric change on the SOM’s performance in classification problems. In order to change the metric of the SOM we applied a distance metric learning method, so-called ’Large Margin Nearest Neighbour’. It computes the Mahalanobis matrix, which assures small distance between nearest neighbour points from the same class and separation of points belonging to different classes by large margin. Results are presented on several real data sets, containing for example recognition of written digits, spoken letters or faces.

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References

  1. Alahakoon, D., Halgamuge, S.K., Sirinivasan, B.: Dynamic Self Organizing Maps With Controlled Growth for Knowledge Discovery. IEEE Transactions on Neural Networks 11, 601–614 (2000)

    Article  Google Scholar 

  2. Aly, S., Tsuruta, N., Taniguchi, R.: Face Recognition under Varying Illumination Using Mahalanobis Self-organizing Map. Artificial Life and Robotics 13(1), 298–301 (2008)

    Article  Google Scholar 

  3. Bobrowski, L., Topczewska, M.: Improving the K-NN Classification with the Euclidean Distance Through Linear Data Transformations. In: Industrial Conference on Data Mining, pp. 23–32 (2004)

    Google Scholar 

  4. Dopazo, J., Carazo, J.M.: Phylogenetic reconstruction using an unsupervised growing neural network that adopts the topology of a phylogenetic tree. Journal of Molecular Evolution 44(2), 226–233 (1997)

    Article  Google Scholar 

  5. Duch, W., Naud, A.: On Global Self-Organizing Maps. In: ESANN, pp. 91–96 (1996)

    Google Scholar 

  6. Fessant, F., Aknin, P., Oukhellou, L., Midenet, S.: Comparison of Supervised Self-Organizing Maps Using Euclidian or Mahalanobis Distance in Classification Context. In: Mira, J., Prieto, A.G. (eds.) IWANN 2001. LNCS, vol. 2084, pp. 637–644. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  7. Goldberger, J., Roweis, S., Hinton, G., Salakhutdinov, R.: Neighbourhood components analysis. In: NIPS, pp. 513–520 (2005)

    Google Scholar 

  8. Jiang, F., Berry, H., Schoenauer, M.: The impact of network topology on self-organizing maps. In: GEC Summit, pp. 247–254 (2009)

    Google Scholar 

  9. Kłopotek, M.A., Pachecki, T.: Create Self-organizing Maps of Documents in a Distributed System. In: Intelligent Information Systems, Siedlce, pp. 315–320 (2010)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  11. Kohonen, T., Oja, E., Simula, O., Visa, A., Kangas, J.: Engineering applications of the self-organizing map. Proceedings of the IEEE 84(10), 1358–1384 (2002)

    Article  Google Scholar 

  12. Kohonen, T., Xing, H.: Contextually Self-Organized Maps of Chinese Words. In: Laaksonen, J., Honkela, T. (eds.) WSOM 2011. LNCS, vol. 6731, pp. 16–29. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  13. Midenet, S., Grumbach, A.: Learning Associations by Self-Organization: The LASSO model. Neurocomputing 6(3), 343–361 (1994)

    Article  Google Scholar 

  14. Rauber, A., Tomsich, P., Merkl, D.: parSOM: A Parallel Implementation of the Self-Organizing Map Exploiting Cache Effects: Making the SOM Fit for Interactive High-Performance Data Analysis. In: International Joint Conference on Neural Networks, pp. 177–182 (2000)

    Google Scholar 

  15. Turk, M., Pentland, A.: Eigenfaces for recognition. Journal of Cognitive Neuroscience 3(1), 71–86 (1991)

    Article  Google Scholar 

  16. Weinberger, K.Q., Blitzer, J., Saul, L.K.: Distance Metric Learning for Large Margin Nearest Neighbor Classification. In: NIPS, pp. 1473–1480 (2006)

    Google Scholar 

  17. Xing, E.P., Ng, A.Y., Jordan, M.I., Russell, S.J.: Distance Metric Learning with Application to Clustering with Side-Information. In: NIPS, pp. 505–512 (2002)

    Google Scholar 

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Płoński, P., Zaremba, K. (2012). Improving Performance of Self-Organising Maps with Distance Metric Learning Method. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2012. Lecture Notes in Computer Science(), vol 7267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29347-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-29347-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29346-7

  • Online ISBN: 978-3-642-29347-4

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