Setting the activity level in sparse random networks

  • Authors:
  • Ali A. Minai;William B. Levy

  • Affiliations:
  • -;-

  • Venue:
  • Neural Computation
  • Year:
  • 1994

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Abstract

We investigate the dynamics of a class of recurrent randomnetworks with sparse, asymmetric excitatory connectivity and globalshunting inhibition mediated by a single interneuron. Usingprobabilistic arguments and a hyperbolic tangent approximation tothe gaussian, we develop a simple method for setting the averagelevel of firing activity in these networks. We demonstrate throughsimulations that our technique works well and extends to networkswith more complicated inhibitory schemes. We are interestedprimarily in the CA3 region of the mammalian hippocampus, and therandom networks investigated here are seen as modeling the a prioridynamics of activity in this region. In the presence of externalstimuli, a suitable synaptic modification rule could shape thisdynamics to perform temporal information processing tasks such assequence completion and prediction.