Abstract：
:We consider a random synaptic pruning in an initially highly interconnected network. It is proved that a random network can maintain a self-sustained activity level for some parameters. For such a set of parameters a pruning is constructed so that in the resulting network each neuron/node has almost equal numbers of in- and out-connections. It is also shown that the set of parameters which admits a self-sustained activity level is rather small within the whole space of possible parameters. It is pointed out here that the threshold of connectivity for an auto-associative memory in a Hopfield model on a random graph coincides with the threshold for the bootstrap percolation on the same random graph. It is argued that this coincidence reflects the relations between the auto-associative memory mechanism and the properties of the underlying random network structure. This article is part of a Special Issue entitled "Neural Coding".
journal_name
Brain Resjournal_title
Brain researchauthors
Turova TSdoi
10.1016/j.brainres.2011.07.050subject
Has Abstractpub_date
2012-01-24 00:00:00pages
277-84eissn
0006-8993issn
1872-6240pii
S0006-8993(11)01379-5journal_volume
1434pub_type
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