Convergence properties of Kohonen's topology conserving maps: Fluctuations, stability, and dimension selection

DOI10.1007/BF00205972zbMath0653.92026MaRDI QIDQ1108237

Helge J. Ritter, Klaus Schulten

Publication date: 1988

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

zbMATH Keywords

stabilitypattern recognitionFokker-Planck equationsignal processingequilibrium mapautomatic selection of feature dimensionsformal neuronsformation of topologically correct features mapsMarkovian algorithm

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (18)

Marginal median SOM for document organization and retrieval ⋮ Study of the Kohonen network with a discrete state space ⋮ A hybrid neural approach to combinatorial optimization ⋮ An adaptive neuromorphic model of ocular dominance map using floating gate `synapse' ⋮ An analysis of Kohonen's self-organizing maps using a system of energy functions ⋮ Self-organizing maps: Ordering, convergence properties and energy functions ⋮ Smoothed self-organizing map for robust clustering ⋮ Multiple outlier detection in multivariate data using self-organizing maps ⋮ Linear Geometric ICA: Fundamentals and Algorithms ⋮ Fault detection of systems with redundant sensors using constrained Kohonen networks ⋮ Winner-Relaxing Self-Organizing Maps ⋮ SOM's mathematics ⋮ Heuristic and optimization approaches to extending the Kohonen self organizing algorithm ⋮ 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 ⋮ Self-organizing maps for imprecise data ⋮ Formation of field discontinuities and islands in visual cortical maps

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