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.
Download Full Text
The manuscripts available on our site are provided for your personal
use only and may not be retransmitted or redistributed without written
permissions from the paper's publisher and author. You may not upload any
of this site's material to any public server, on-line service, network, or
bulletin board without prior written permission from the publisher and
author. You may not make copies for any commercial purpose. Reproduction
or storage of materials retrieved from this web site is subject to the
U.S. Copyright Act of 1976, Title 17 U.S.C.
