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Neural Computation, Vol 10, 19-24, Copyright © 1998 by The MIT Press

NOTES

Ordering of Self-Organizing Maps in Multi-Dimensional Cases

Guang-Bin Huang, Haroon A. Babri and Hua-Tian Li

It has been proved that in one-dimensional cases, the weights of Kohonen's self-organizing maps (SOM) will become ordered with probability 1; once the weights are ordered, they cannot become disordered in future training. It is difficult to analyze Kohonen's SOMs in multidimensional cases; however, it has been conjectured that similar results seem to be obtainable in multidimensional cases. In this note, we show that in multidimensional cases, even though the weights are ordered at some time, it is possible that they become disordered in the future.




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J COGNITIVE NEUROSCIENCE NEURAL COMPUTATION MIT PRESS JOURNALS
Copyright © 1998 by The MIT Press.