Online Labelling Strategies for Growing Neural Gas

Growing neural gas (GNG) has been successfully applied to unsupervised learning problems. However, GNG-inspired approaches can also be applied to classification problems, provided they are extended with an appropriate labelling function. Most approaches along these lines have so far relied on strategies which label neurons a posteriori, after the training has been completed. As a consequence, such approaches require the training data to be stored until the labelling phase, which runs directly counter to the online nature of GNG. Thus, in order to restore the online property of classification approaches based on GNG, we present an approach in which the labelling is performed online. This online labelling strategy better matches the online nature of GNG where only neurons - but no explicit training examples - are stored. As the main contribution, we show that online labelling strategies do not deteriorate the performance compared to offline labelling strategies.

[1]  Michael A. Arbib,et al.  The handbook of brain theory and neural networks , 1995, A Bradford book.

[2]  Hujun Yin,et al.  Kernel self-organising maps for classification , 2006, Neurocomputing.

[3]  Heiko Wersing,et al.  Recent trends in online learning for cognitive robots , 2006, ESANN.

[4]  Bernd Fritzke,et al.  A Growing Neural Gas Network Learns Topologies , 1994, NIPS.

[5]  Grégoire Lefebvre,et al.  A probabilistic Self-Organizing Map for facial recognition , 2008, 2008 19th International Conference on Pattern Recognition.

[6]  S. C. Johnson Hierarchical clustering schemes , 1967, Psychometrika.

[7]  T. Kohonen Self-organized formation of topographically correct feature maps , 1982 .

[8]  Samuel Kaski,et al.  Keyword selection method for characterizing text document maps , 1999 .

[9]  Peter H. A. Sneath,et al.  Numerical Taxonomy: The Principles and Practice of Numerical Classification , 1973 .

[10]  Andreas Rauber LabelSOM: on the labeling of self-organizing maps , 1999, IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339).

[11]  Teuvo Kohonen,et al.  Self-organized formation of topologically correct feature maps , 2004, Biological Cybernetics.

[12]  Samuel Kaski,et al.  Self organization of a massive document collection , 2000, IEEE Trans. Neural Networks Learn. Syst..

[13]  Teuvo Kohonen,et al.  Learning vector quantization , 1998 .

[14]  Heikki Hyötyniemi Text Document Classification with Self-Organizing Maps , 1996 .

[15]  Michael R. Anderberg,et al.  Cluster Analysis for Applications , 1973 .