SOM of SOMs: self-organizing map which maps a group of self-organizing maps
ICANN'05 Proceedings of the 15th international conference on Artificial Neural Networks: biological Inspirations - Volume Part I
Generalization of the self-organizing map: from artificial neural networks to artificial cortexes
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
Neural Networks
Generalization of the self-organizing map: from artificial neural networks to artificial cortexes
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
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This paper proposes an extension of an SOM called the “SOM of SOMs,” or SOM2, in which objects to be mapped are self-organizing maps. In SOM2, each nodal unit of a conventional SOM is replaced by a function module of SOM. Therefore, SOM2 can be regarded as a variation of a modular network SOM (mnSOM). Since each child SOM module in SOM2 is trained to represent an individual map, the parent map in SOM2 generates a self-organizing map representing the continuous change of the child maps. Thus SOM2 is an extension of an SOM that generates a ‘self-organizing homotopy' rather than a map. This extension of an SOM is easily generalized to the case of SOMn, such that “SOM3 as SOM of SOM2s”, corresponding to the n-th order of homotopy. This paper proposes a homotopy theory of SOM2 with new simulation results.