Abstract
The stationary state of the self-organizing sensory mapping of Kohonen is investigated. For this purpose the equation for the stationary state is derived for the case of one-dimensional and two-dimensional mappings. The equation can be solved for special cases, including the general one-dimensional case, to yield an explicit expression for the local magnification factor of the map.
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Edelman GM, Finkel LH (1985) Neuronal group selection in the cerebral cortex. In: 1st Symposium of the Neurosciences Institute, La Lolla, California, October 3–8 1982 (in press)
Kaas JH, Merzenich MM, Killackey HP (1983) The reorganization of somatosensory cortex following peripheral nerve damage in adult and developing mammals. Annu Rev Neurosci 6:325–56
Kohonen T (1982a) Self-organized formation of topologically correct feature maps. Biol Cybern 43:59–69
Kohonen T (1982b) Clustering, taxonomy, and topological maps of patterns. Proceedings of the 6th International Conference on Pattern Recognition, pp 114–128
Kohonen T (1982c) Analysis of a simple self-organizing process. Biol Cybern 44:135–140
Kohonen T (1984) Self-organization and associative memory. Springer, Berlin Heidelberg New York Tokyo
Merzenich MM, Jenkins WM (1983) Dynamic maintenance and alterability of cortical maps in adults; some implications. In: Klinke R, Hartmann R (eds) Hearing — Physiological Bases and Psychophysics. Springer, Berlin Heidelberg New York Tokyo
Pickles JO (1982) An introduction to the physiology of hearing. Academic Press, New York
Suga N, O'Neill WE (1979) Neural axis representing target range in the auditory cortex of the mustache bat. Science 206:351–353
Takeuchi A, Amari S (1979) Formation of topographic maps and columnar microstructures. Biol Cybern 35:63–72
Whitteridge D (1973) Projection of optic pathways to the visual cortex. In: Jung R (ed) Visual centers in the brain. Springer, Berlin Heidelberg New York (Handbook of sensory physiology, vol. VII/3B, pp 247–268)
Willshaw DJ, Malsburg C von der (1976) How patterned neural connections can be set up by self-organization. Proc R Soc Lond Ser B 194:431–445
Willshaw DJ, Malsburg C von der (1979) A marker induction mechanism for the establishment of ordered neural mappings: its application to the retinotectal problem. Proc R Soc Lond Ser B 287:203–243
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Ritter, H., Schulten, K. On the stationary state of Kohonen's self-organizing sensory mapping. Biol. Cybern. 54, 99–106 (1986). https://doi.org/10.1007/BF00320480
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DOI: https://doi.org/10.1007/BF00320480