2 papers
math.ST2021
Neuronal Network Inference and Membrane Potential Model using Multivariate Hawkes Processes
Anna Bonnet, Charlotte Dion, François Gindraud +1
In this work, we propose to catch the complexity of the membrane potential's dynamic of a motoneuron between its spikes, taking into account the spikes from other neurons around. O…
math.ST2021
Maximum Likelihood Estimation for Hawkes Processes with self-excitation or inhibition
Anna Bonnet, Miguel Martinez Herrera, Maxime Sangnier
In this paper, we present a maximum likelihood method for estimating the parameters of a univariate Hawkes process with self-excitation or inhibition. Our work generalizes techniqu…