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IDEAL
2005
Springer

Recursive Self-organizing Map as a Contractive Iterative Function System

13 years 9 months ago
Recursive Self-organizing Map as a Contractive Iterative Function System
Recently, there has been a considerable research activity in extending topographic maps of vectorial data to more general data structures, such as sequences or trees. However, the representational capabilities and internal representations of the models are not well understood. We rigorously analyze a generalization of the Self-Organizing Map (SOM) for processing sequential data, Recursive SOM (RecSOM [1]), as a non-autonomous dynamical system consisting of a set of fixed input maps. We show that contractive fixed input maps are likely to produce Markovian organizations of receptive fields on the RecSOM map. We derive bounds on parameter β (weighting the importance of importing past information when processing sequences) under which contractiveness of the fixed input maps is guaranteed.
Peter Tiño, Igor Farkas, Jort van Mourik
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where IDEAL
Authors Peter Tiño, Igor Farkas, Jort van Mourik
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