On the stationary state of Kohonen's self-organizing sensory mapping

DOI10.1007/BF00320480zbMath0586.92004OpenAlexW1968838785MaRDI QIDQ1072469

Helge J. Ritter, Klaus Schulten

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00320480

zbMATH Keywords

nervous systembrainstationary statelocal magnification factorone-dimensional and two-dimensional mappingsself-organizing sensory mapping

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (25)

Self-organization of the batch Kohonen network under quantization effects ⋮ Alternative learning vector quantization ⋮ Solving a combinatorial problem via self-organizing process: An application of the Kohonen algorithm to the traveling salesman problem ⋮ Evaluating Kohonen's learning rule: an approach through genetic algorithms. ⋮ An analysis of Kohonen's self-organizing maps using a system of energy functions ⋮ Cooperation in self-organizing map networks enhances information transmission in the presence of input background activity ⋮ Self-organizing maps: Stationary states, metastability and convergence rate ⋮ Self-organizing maps: Ordering, convergence properties and energy functions ⋮ Applications of the space — filling curves with data driven measure — preserving property ⋮ Kohonen neural networks and genetic classification ⋮ Theoretical analysis of the batch variant of the self-organizing feature map algorithm for 1-d networks mapping a continuous 1-d input space ⋮ Self-organizing map for symbolic data ⋮ Recursive self-organizing network models ⋮ Multiple outlier detection in multivariate data using self-organizing maps ⋮ Winner-Relaxing Self-Organizing Maps ⋮ Mirror Symmetric Topographic Maps Can Arise from Activity-Dependent Synaptic Changes ⋮ Self-Organizing Maps with Asymmetric Neighborhood Function ⋮ Extending the Kohonen self-organizing map networks for clustering analysis. ⋮ Magnification Control in Self-Organizing Maps and Neural Gas ⋮ The effect of sample size on the extended self-organizing map network -- a market segmentation application ⋮ Flexibility through a neural architecture for visual orientation in a natural environment ⋮ Optimal interpolation of gravity maps using a modified neural network ⋮ Transition times in self-organizing maps ⋮ On the rate of convergence in topology preserving neural networks ⋮ Formation of field discontinuities and islands in visual cortical maps

Cites Work

• Self-organization and associative memory
• Formation of topographic maps and columnar microstructures in nerve fields
• Self-organized formation of topologically correct feature maps
• Analysis of a simple self-organizing process

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