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Abstract: Two recent experimental observations pose a challenge to many corticalmodels. First, the activity in the auditory cortex is sparse, and firing ratescan be described by a lognormal distribution. Second, the distribution ofnon-zero synaptic strengths between nearby cortical neurons can also bedescribed by a lognormal distribution. Here we use a simple model of corticalactivity to reconcile these observations. The model makes the experimentallytestable prediction that synaptic efficacies onto a given cortical neuron arestatistically correlated, i.e. it predicts that some neurons receive many morestrong connections than other neurons. We propose a simple Hebb-like learningrule which gives rise to both lognormal firing rates and synaptic efficacies.Our results represent a first step toward reconciling sparse activity andsparse connectivity in cortical networks.



Author: Alexei Koulakov, Tomas Hromadka, Anthony M. Zador

Source: https://arxiv.org/



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