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

Biological Cybernetics

Volumn 67, Issue 1, 1992, Pages 47-55

  Erwin, E ^a   Obermayer, K ^a   Schulten, K ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; MATHEMATICS; STATISTICS;

ALGORITHMS; MATHEMATICS; MODELS, NEUROLOGICAL; STOCHASTIC PROCESSES; SUPPORT, NON-U.S. GOV'T; SUPPORT, U.S. GOV'T, NON-P.H.S.; SUPPORT, U.S. GOV'T, P.H.S.;

EID: 0026436795     PISSN: 03401200     EISSN: 14320770     Source Type: Journal    
DOI: 10.1007/BF00201801     Document Type: Article

References (28)

1. Etude d'un processus d'auto-organization
2. A dimension reduction framework for understanding cortical maps
3. An analogue approach to the travelling salesman problem using an elastic net method
4. A study of the application of Kohonentype neural networks to the travelling salesman problem
5. Analysis of a simple self-organizing process
6. Self-organized formation of topologically correct feature maps
7. Speech recognition based on topology preserving neural maps
8. Self-organizing maps: optimization approaches
9. On the rate of convergence in topology preserving neural networks
10. Self-organization: a derivation from first principles of a class of learning algorithms
11. Large-scale simulations of self-organizing neural networks on parallel computers: Applications to biological modelling
12. A principle for the formation of the spatial structure of cortical feature maps
13. A neural network model for the formation of the spatial structure of retinotopic maps, orientationand ocular dominance columns
14. Self-organizing semantic maps
15. On the stationary state of Kohonen's self-organizing sensory mapping
16. Convergence properties of Kohonen's topology conserving mappings: Fluctuatuions, stability and dimension selection
17. Topology conserving maps for learning visuomotor-coordination
18. A stochastic approximation method
19. Unsupervised context learning in natural language processing
20. Statistical mechanics as the underlying theory of ‘elastic’ and ‘neural’ optimizations
21. An analysis of Kohonen's self-organizing maps using a system of energy functions