%0 Journal Article %1 1167881 %A Fort, J. C. %C Oxford, UK, UK %D 2006 %I Elsevier Science Ltd. %J Neural Netw. %K som theory %N 6 %P 812--816 %R http://dx.doi.org/10.1016/j.neunet.2006.05.025 %T SOM's mathematics %U http://portal.acm.org/citation.cfm?id=1167881# %V 19 %X Since the discovery of the SOM's by T. Kohonen, many results that provide a better description of their behaviour have been found. Most of them are very convincing, but from a mathematical point of view, only a few are actually proved. In this paper, we make a review of some results that are still to be proved and give some framework to formulate various questions.

@article{1167881, abstract = {Since the discovery of the SOM's by T. Kohonen, many results that provide a better description of their behaviour have been found. Most of them are very convincing, but from a mathematical point of view, only a few are actually proved. In this paper, we make a review of some results that are still to be proved and give some framework to formulate various questions.}, added-at = {2008-11-18T13:57:04.000+0100}, address = {Oxford, UK, UK}, author = {Fort, J. C.}, biburl = {https://www.bibsonomy.org/bibtex/2a6d96bbc6491b76003407fdeede91c8c/okohonen}, description = {SOM's mathematics}, doi = {http://dx.doi.org/10.1016/j.neunet.2006.05.025}, interhash = {f811565bdf10fd67ebd0c6949d2d4f96}, intrahash = {a6d96bbc6491b76003407fdeede91c8c}, issn = {0893-6080}, journal = {Neural Netw.}, keywords = {som theory}, number = 6, pages = {812--816}, publisher = {Elsevier Science Ltd.}, timestamp = {2008-11-18T13:57:04.000+0100}, title = {SOM's mathematics}, url = {http://portal.acm.org/citation.cfm?id=1167881#}, volume = 19, year = 2006 }