Cornet Seminar – Anna Melnykova – 10/09/2024
First CORNET seminar, Tuesday 10th september 2024 11:00, room C057. Anna Melnykova from Mathematics Lab of Avignon (LMA). Abstract: Hawkes processes is a versatile probabilistic tool which permits to model a variety of real-world phenomena: earthquakes, stock markets, population dynamics. In this talk we will focus on its use in neuroscience, where they permit to model interactions between different group of neurons (or individual neurons). Furthermore, due to memory property, models based on Hawkes processes naturally embed the refractory (inter-spiking) period for each individual neuron. The focus of this talk is on numerical and statistical challenges associated with Hawkes processes (simulation, parametric and non-parametric inference, causality).