15 citations · 22 across the 5 of their papers we have counts for
7 papers
Inference of multivariate exponential Hawkes processes with inhibition and application to neuronal activity
Anna Bonnet, Miguel Martinez Herrera, Maxime Sangnier
The multivariate Hawkes process is a past-dependent point process used to model the relationship of event occurrences between different phenomena.Although the Hawkes process was or…
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…
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…
Uniform Deconvolution for Poisson Point Processes
Anna Bonnet, Claire Lacour, Franck Picard +1
We focus on the estimation of the intensity of a Poisson process in the presence of a uniform noise. We propose a kernel-based procedure fully calibrated in theory and practice. We…
Heritability estimation of diseases in case-control studies
Anna Bonnet
In the field of genetics, the concept of heritability refers to the proportion of variations of a biological trait or disease that can be explained by genetic factors. Quantifying…
Improving heritability estimation by a variable selection approach in sparse high dimensional linear mixed models
Anna Bonnet, Céline Lévy-Leduc, Elisabeth Gassiat +2
Motivated by applications in neuroanatomy, we propose a novel methodology for estimating the heritability which corresponds to the proportion of phenotypic variance which can be ex…
Heritability estimation in high dimensional linear mixed models
Anna Bonnet, Elisabeth Gassiat, Céline Lévy-Leduc
Motivated by applications in genetic fields, we propose to estimate the heritability in high dimensional sparse linear mixed models. The heritability determines how the variance is…