?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Retrieval+properties+of+attractor+neural+networks+that+obey+Dale's+law+using+a+self-consistent+signal-to-noise+analysis&rft.creator=Burkitt%2C+Anthony+N.&rft.subject=Theoretical+Biology&rft.subject=Neural+Nets&rft.description=The+recently+proposed+self-consistent+signal-to-noise+analysis+is+applied+to+a+current--rate+dynamics+attractor+network+of+excitatory+neurons+with+a+Hebbian+synaptic+matrix.+The+effect+of+inhibitory+interneurons+is+included+by+a+term+modeling+their+effective+inhibition+that+depends+upon+both+the+level+of+activity+of+the+excitatory+neurons+and+the+stored+patterns.+The+low+rate+attractor+structure+is+identified%2C+and+at+low+loading+the+network+retrieves+single+patterns+with+uniform+low+rates+without+errors%2C+and+is+stable+to+the+admixture+of+additional+patterns.+The+self-consistent+signal-to-noise+method+enables+the+analysis+of+the+network+properties+with+an+extensive+number+of+patterns%2C+and+the+results+are+compared+with+simulations.+The+method+allows+the+identification+of+the+fixed+point+structure+of+networks+for+which+there+is+no+Lyapanov+function%2C+and+hence+for+which+mean-field+techniques+cannot+be+used.+This+analysis+is+shown+to+provide+a+powerful+and+straightforward+way+to+analyse+the+properties+of+networks+with+neuronal+specificity%2C+low+spike+rates+and+synaptic+noise%2C+as+well+as+incorporating+the+effects+of+random+asymmetric+synaptic+dilution+and+limited+analog+synaptic+depth+in+a+natural+way.+The+simulations+show+that+the+network+properties+are+very+robust+both+to+errors+in+the+stimulus+and+to+the+stimulus+strength+and+duration.&rft.date=1996&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpostscript&rft.identifier=http%3A%2F%2Fcogprints.org%2F470%2F2%2Fnn_scsna.ps&rft.identifier=++Burkitt%2C+Anthony+N.++(1996)+Retrieval+properties+of+attractor+neural+networks+that+obey+Dale's+law+using+a+self-consistent+signal-to-noise+analysis.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F470%2F