29 citations · 59 across the 7 of their papers we have counts for
10 papers
LAN property for the parameter of the jump rate in mean field interacting systems of neurons
Aline Duarte, Dasha Loukianova, Aurélien Velleret
In the context of a large system of neurons interacting through spike events in a mean-field regime as , we characterize the estimation of a multidimensional param…
Retrieving the structure of probabilistic sequences from EEG data during the goalkeeper game
P. R. Cabral-Passos, P. S. Azevedo, V. H. Moraes +3
This work draws on the conjecture that fingerprints of stochastic event sequences can be retrieved from electroencephalographic data (EEG) recorded during a behavioral task. To tes…
SeqROCTM: A Matlab toolbox for the analysis of Sequence of Random Objects driven by Context Tree Models
Noslen Hernández, Aline Duarte
In several research problems we deal with probabilistic sequences of inputs (e.g., sequence of stimuli) from which an agent generates a corresponding sequence of responses and it i…
Retrieving the structure of probabilistic sequences of auditory stimuli from EEG data
Noslen Hernández, Aline Duarte, Guilherme Ost +3
Using a new probabilistic approach we model the relationship between sequences of auditory stimuli generated by stochastic chains and the electroencephalographic (EEG) data acquire…
Mean field limits for nonlinear spatially extended hawkes processes with exponential memory kernels
Julien Chevallier, A Duarte, E Löcherbach +1
We consider spatially extended systems of interacting nonlinear Hawkes processes modeling large systems of neurons placed in Rd and study the associated mean field limits. As the t…
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…
Hydrodynamic Limits for Spatially Structured Interacting Neurons
Aline Duarte, Guilherme Ost, Andrés Rodríguez
In this paper we study the hydrodynamic limit for a stochastic process describing the time evolution of the membrane potentials of a system of neurons with spatial dependency. We d…
A model for neural activity in the absence of external stimuli
Aline Duarte, Guilherme Ost
We study a stochastic process describing the continuous time evolution of the membrane potentials of finite system of neurons in the absence of external stimuli. The values of the…