Self-organizing maps: Stationary states, metastability and convergence rate

DOI10.1007/BF00201800zbMath0747.92005WikidataQ52233707 ScholiaQ52233707MaRDI QIDQ1192054

Klaus Schulten, E. Erwin, Klaus Obermayer

Publication date: 27 September 1992

Published in: Biological Cybernetics (Search for Journal in Brave)

zbMATH Keywords

convergence ratesthresholdGaussian functionmetastable stationary statesneighborhood functionsself- organizing feature map algorithmSOFM algorithmtopographic representation of the unit interval

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (13)

Self-organization of the batch Kohonen network under quantization effects ⋮ The emergence of goals in a self-organizing network: a non-mentalist model of intentional actions ⋮ Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network ⋮ Conformality in the self-organization network ⋮ Self-organizing maps: Ordering, convergence properties and energy functions ⋮ Convergence theorems for the Kohonen feature mapping algorithms with VLRPs ⋮ Kohonen neural networks and genetic classification ⋮ Generalized SPIN models for coupled cortical feature maps obtained by coarse graining correlation based synaptic learning rules ⋮ Swarm intelligence for self-organized clustering ⋮ Self-Organizing Maps with Asymmetric Neighborhood Function ⋮ The flood algorithm -- a multivariate, self-organizing-map-based, robust location and covariance estimator ⋮ Unnamed Item ⋮ On the topology distortion in self-organizing feature maps

Cites Work

• Unnamed Item
• On the rate of convergence in topology preserving neural networks
• On the stationary state of Kohonen's self-organizing sensory mapping
• Self-organized formation of topologically correct feature maps
• Analysis of a simple self-organizing process
• Self-organizing maps: Ordering, convergence properties and energy functions
• Self-organization and associative memory.

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