Input correlation function <i>C</i> for spatially-regular inputs.

Abstract

<p>The function is circularly symmetric, i.e., it depends only on the distance |<b>r</b> − <b>r</b>′| between the receptive-field centers <b>r</b> and <b>r</b>′ (<a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1005782#pcbi.1005782.e118" target="_blank">Eq 54</a>). In the attraction domain (red shaded area) the correlation is positive and the synaptic weights grow in the same direction. In the repulsion domain (blue shaded area) the correlation is negative and the synaptic weights grow in opposite directions. Parameter values: <i>σ</i> = 6.25 cm, <i>r</i><sub>av</sub> = 0.4 s<sup>−1</sup>, <i>τ</i><sub>S</sub> = 0.1 s, <i>τ</i><sub>L</sub> = 0.16 s, <i>μ</i> = 1.06, <i>W</i><sub>tot</sub> = 1 s, <i>L</i> = 1 m, <i>v</i> = 0.25 m/s.</p

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