Phase Transitions in Self-Organized Feature Maps

R. Der, M. Herrmann

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present an analytical study of symmetry-breaking phenomena in Kohonen’s self-organized feature map (SOFM) that occur due to a topological mismatch between the input space and the neuron setup. We give a microscopic derivation for the time dependent Ginzburg-Landau equations describing the behavior of the order parameter close to the critical point where the phase transition takes place.
Original languageEnglish
Title of host publicationICANN '93: Proceedings of the International Conference on Artificial Neural Networks Amsterdam, The Netherlands 13--16 September 1993
EditorsStan Gielen, Bert Kappen
Place of PublicationLondon
PublisherSpringer London
Pages597-600
Number of pages4
ISBN (Print)978-1-4471-2063-6
DOIs
Publication statusPublished - 1993

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