Self-organizing maps: Ordering, convergence properties and energy functions

DOI10.1007/BF00201801zbMath0747.92006OpenAlexW2089438500WikidataQ52233705 ScholiaQ52233705MaRDI QIDQ1192055

E. Erwin, Klaus Schulten, Klaus Obermayer

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf00201801

zbMATH Keywords

energy functionsstochastic gradientlinear chain of neuronsself-organizing feature map algorithmset of potential functionstopographic 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)

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Cites Work

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• A study of the application of Kohonen-type neural networks to the travelling salesman problem
• On the rate of convergence in topology preserving neural networks
• An analysis of Kohonen's self-organizing maps using a system of energy functions
• On the stationary state of Kohonen's self-organizing sensory mapping
• Étude d'un processus d'auto-organisation. (Study of a self-organization process)
• Convergence properties of Kohonen's topology conserving maps: Fluctuations, stability, and dimension selection
• Self-organized formation of topologically correct feature maps
• Analysis of a simple self-organizing process
• Self-organizing maps: Stationary states, metastability and convergence rate
• Self-organization and associative memory.
• A Stochastic Approximation Method

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