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Paper   IPM / Cognitive / 13880
School of Cognitive Sciences
  Title:   Phase diagram of spiking neural networks
  Author(s):  H. Seyed-Allaei
  Status:   Published
  Journal: Frontiers in Computational Neuroscience
  Vol.:  9
  Year:  2015
  Pages:   1-9
  Supported by:  IPM
  Abstract:
In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2 percent, 20 percent of neurons are inhibitory and 80 percent are excitatory. These common values are based on experiments, observations, and trials and errors, but here, I take a different perspective, inspired by evolution, I systematically simulate many networks, each with a different set of parameters, and then I try to figure out what makes the common values desirable. I stimulate networks with pulses and then measure their: dynamic range, dominant frequency of population activities, total duration of activities, maximum rate of population and the occurrence time of maximum rate. The results are organized in phase diagram. This phase diagram gives an insight into the space of parameters - excitatory to inhibitory ratio, sparseness of connections and synaptic weights. This phase diagram can be used to decide the parameters of a model. The phase diagrams show that networks which are configured according to the common values, have a good dynamic range in response to an impulse and their dynamic range is robust in respect to synaptic weights, and for some synaptic weights they oscillate in α or β frequencies, even in absence of external stimuli.

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