Populations of spiking neurons
Pulsed neural networks
Temporal correlations in stochastic networks of spiking neurons
Neural Computation
Noise in Integrate-and-Fire Neurons: From Stochastic Input to Escape Rates
Neural Computation
Stochastic dynamics of a finite-size spiking neural network
Neural Computation
A Model of Neuronal Specialization Using Hebbian Policy-Gradient with "Slow" Noise
ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part I
Systematic fluctuation expansion for neural network activity equations
Neural Computation
Spike-Timing dependent plasticity learning for visual-based obstacles avoidance
SAB'06 Proceedings of the 9th international conference on From Animals to Animats: simulation of Adaptive Behavior
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In this letter, we study the effect of a unique initial stimulation on random recurrent networks of leaky integrate-and-fire neurons. Indeed, given a stochastic connectivity, this so-called spontaneous mode exhibits various nontrivial dynamics. This study is based on a mathematical formalism that allows us to examine the variability of the afterward dynamics according to the parameters of the weight distribution. Under the independence hypothesis (e.g., in the case of very large networks), we are able to compute the average number of neurons that fire at a given time—the spiking activity. In accordance with numerical simulations, we prove that this spiking activity reaches a steady state. We characterize this steady state and explore the transients.