Linsker has reported the development of centre--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 analysed 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 centre--surround and certain oriented structures.
['David J. C. MacKay', 'Kenneth D. Miller']
Analysis of Linsker's Simulations of Hebbian Rules