Population dynamics: Variance and the sigmoid activation function

@article{Marreiros2008PopulationDV,
  title={Population dynamics: Variance and the sigmoid activation function},
  author={A. Marreiros and J. Daunizeau and S. Kiebel and Karl J. Friston},
  journal={NeuroImage},
  year={2008},
  volume={42},
  pages={147-157}
}
This paper demonstrates how the sigmoid activation function of neural-mass models can be understood in terms of the variance or dispersion of neuronal states. We use this relationship to estimate the probability density on hidden neuronal states, using non-invasive electrophysiological (EEG) measures and dynamic casual modelling. The importance of implicit variance in neuronal states for neural-mass models of cortical dynamics is illustrated using both synthetic data and real EEG measurements… Expand
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