TCB Publications - Abstract

Klaus Obermayer, Helge Ritter, and Klaus Schulten. A neural network model for the formation of topographic maps in the CNS: Development of receptive fields. In International Joint Conference on Neural Networks, San Diego, California, volume 2, pp. 423-429. The Institute of Electrical and Electronics Engineers, New York, 1990.

OBER90C The "somatotopic map" of the body surface of animals and humans reflects an ordered, neighborhood preserving connectivity between tactile skin receptors and cortical neurons. In a previous study [1] we investigated a large scale neural network model containing 16,384 neurons and 800 receptors for the formation and plasticity of a somatotopic map of the hand-surface, where we showed, that a somatotopic map of a hand-shaped sensory surface emerged during a sequence of randomly applied local stimuli. In this paper we discuss the properties of the model in the high-dimensional limit. We present results from a Monte-Carlo-simulation indicating a facilitation of the map-ordering process if the dimensionality of the input space is increased, and we provide a mathematical analysis of the development of localized receptive fields via the input-selection mechanism. The analytical results are compared with data from large scale simulations using a Connection-Machine CM-2 and very good agreement is found.

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