29 citations · 59 across the 8 of their papers we have counts for
4 papers · 1 filter
Estimation of neuronal interaction graph from spike train data
Ludmila Brochini, Antonio Galves, Pierre Hodara +2
One of the main current issues in Neurobiology concerns the understanding of interrelated spiking activity among multineuronal ensembles and differences between stimulus-driven and…
Stability, convergence to equilibrium and simulation of non-linear Hawkes Processes with memory kernels given by the sum of Erlang kernels
Aline Duarte, Eva Löcherbach, Guilherme Ost
Non-linear Hawkes processes with memory kernels given by the sum of Erlang kernels are considered. It is shown that their stability properties can be studied in terms of an associa…
Estimating the interaction graph of stochastic neural dynamics
A. Duarte, A. Galves, E. Löcherbach +1
In this paper we address the question of statistical model selection for a class of stochastic models of biological neural nets. Models in this class are systems of interacting cha…
Context tree selection for functional data
A. Duarte, R. Fraiman, A. Galves +2
It has been repeatedly conjectured that the brain retrieves statistical regularities from stimuli. Here we present a new statistical approach allowing to address this conjecture. T…