Species-specific wiring of cortical circuits for small-world networks in the primary visual cortex
Fig 6
Emergence of LRCs for size-dependent optimization of the performance and wiring cost.
(A). Networks of two different sizes were trained and pruned from random initial wiring conditions to find the optimal condition that maximized the classification performance at the minimal wiring cost. (B). The classification accuracy increased and the total wiring length decreased in both networks, as intended by the new loss function that consists of classification error and length-penalty terms. (C). Distribution of the lateral connection length in a large network after training, with (red) and without (black) a length penalty. (D). A certain portion of LRCs survived after training even with a length penalty. Note that the LRC ratio quickly decreases initially but then converges asymptotically to a constant value. (E). The maximum length of surviving connections also converges to a certain value above the LRC threshold (10 units). (F). Distribution of the lateral connection length in a small network after training, with (blue) and without (black) a length penalty. (G)-(H). LRCs scarcely survive after training in a small network. The LRC ratio and the maximum length of connections after training are significantly lower than those of a large network (insets). Error bars represent the standard deviation for 20 trials.