Synapse efficiency diverges due to synaptic pruning following over-growth

Details Synapse efficiency diverges due to synaptic pruning following over-growth Synapse efficiency diverges due to synaptic pruning following over-growth

2002-07-23

arxiv.org/abs/cond-mat/0207545v4

Phys. Rev. E, 68, 031910 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 16 figures

Scientific paper

10.1103/PhysRevE.68.031910

In the development of the brain, it is known that synapses are pruned following over-growth. This pruning following over-growth seems to be a universal phenomenon that occurs in almost all areas -- visual cortex, motor area, association area, and so on. It has been shown numerically that the synapse efficiency is increased by systematic deletion. We discuss the synapse efficiency to evaluate the effect of pruning following over-growth, and analytically show that the synapse efficiency diverges as O(log c) at the limit where connecting rate c is extremely small. Under a fixed synapse number criterion, the optimal connecting rate, which maximize memory performance, exists.

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