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6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
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2.21

Neural Computation

Summer 1990, Vol. 2, No. 2, Pages 173-187.
(doi: 10.1162/neco.1990.2.2.173)
© 1990 Massachusetts Institute of Technology
Analysis of Linsker's Simulations of Hebbian Rules
Article PDF (756.98 KB)
Abstract

Linsker has reported the development of center-surround receptive fields and oriented receptive fields in simulations of a Hebb-type equation in a linear network. The dynamics of the learning rule are analyzed in terms of the eigenvectors of the covariance matrix of cell activities. Analytic and computational results for Linsker's covariance matrices, and some general theorems, lead to an explanation of the emergence of center-surround and certain oriented structures. We estimate criteria for the parameter regime in which center-surround structures emerge.