Inference of functional connectivity in Neurosciences via Hawkes processes

Patricia Reynaud-Bouret (1) , Vincent Rivoirard (2) , Christine Tuleau-Malot (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 JAD - Laboratoire Jean Alexandre Dieudonné

We use Hawkes processes as models for spike trains analysis. A new Lasso method designed for general multivariate counting processes enables us to estimate the functional connectivity graph between the different recorded neurons.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Patricia Reynaud-Bouret, Vincent Rivoirard, Christine Tuleau-Malot. Inference of functional connectivity in Neurosciences via Hawkes processes. 1st IEEE Global Conference on Signal and Information Processing, Dec 2013, Austin, United States. ⟨hal-00866823⟩