An associative network with spatially organized connectivity

Details An associative network with spatially organized connectivity An associative network with spatially organized connectivity

2004-07-06

arxiv.org/abs/cond-mat/0407128v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

27 pages, 6 figures; Accepted for publication in JSTAT

Scientific paper

10.1088/1742-5468/2004/07/P07010

We investigate the properties of an autoassociative network of threshold-linear units whose synaptic connectivity is spatially structured and asymmetric. Since the methods of equilibrium statistical mechanics cannot be applied to such a network due to the lack of a Hamiltonian, we approach the problem through a signal-to-noise analysis, that we adapt to spatially organized networks. The conditions are analyzed for the appearance of stable, spatially non-uniform profiles of activity with large overlaps with one of the stored patterns. It is also shown, with simulations and analytic results, that the storage capacity does not decrease much when the connectivity of the network becomes short range. In addition, the method used here enables us to calculate exactly the storage capacity of a randomly connected network with arbitrary degree of dilution.

Affiliated with

Also associated with

No associations

Rating

An associative network with spatially organized connectivity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An associative network with spatially organized connectivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An associative network with spatially organized connectivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-139396