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Spike-based Learning Rules and Stabilization of Persistent Neural Activity

 Xiao-Hui Xie and H. Sebastian Seung
  
 

Abstract:
We analyze the conditions under which synaptic learning rules based on action potential timing can be approximated by learning rules based on firing rates. In particular, we consider a form of plasticity in which synapses depress when a presynaptic spike is followed by a postsynaptic spike, and potentiate with the opposite temporal ordering. Such {\em differential anti-Hebbian plasticity} can be approximated under certain conditions by a learning rule that depends on the time derivative of the postsynaptic firing rate. We argue that this learning rule acts to stabilize persistent neural activity patterns in recurrent neural networks, and illustrate its operation with numerical simulations of an autapse.

 
 


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