3 papers
math.ST2025
Hawkes process with a diffusion-driven baseline: long-run behavior, inference, statistical tests
Maya Sadeler Perrin, Anna Bonnet, Charlotte Dion-Blanc +1
Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these…
math.ST2024
Nonparametric estimation of the stationary density for Hawkes-diffusion systems with known and unknown intensity
Chiara Amorino, Charlotte Dion-Blanc, Arnaud Gloter +1
We investigate the nonparametric estimation problem of the density , representing the stationary distribution of a two-dimensional system $\left(Z_t\right)_{t \in[0, T]}=\left(X…
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…