17 citations · 18 across the 9 of their papers we have counts for
4 papers · 1 filter
Non-stationary dynamics of interspike intervals in neuronal populations
Luca Falorsi, Gianni V. Vinci, Maurizio Mattia
We study the joint dynamics of membrane potential and time since the last spike in a population of integrate-and-fire neurons using a population density framework. This leads to a…
Moment closure through spectral expansion in open stochastic systems
Gianni Valerio Vinci, Roberto Benzi, Maurizio Mattia
The derivation of dynamical laws for general observables (or moments) from the master equation for the probability distribution remains a challenging problem in statistical physics…
Self-consistent moment dynamics for networks of spiking neurons
Gianni Valerio Vinci, Roberto Benzi, Maurizio Mattia
A novel approach to moment closure problem is used to derive low dimensional laws for the dynamics of the moments of the membrane potential distribution in a population of spiking…
Beyond catastrophic forgetting in associative networks with self-interactions
Gianni V. Vinci, Andrea Galluzzi, Maurizio Mattia
Spin-glass models of associative memories are a cornerstone between statistical physics and theoretical neuroscience. In these networks, stochastic spin-like units interact through…