Random structures and patterns in spatio-temporal data: probabilistic modelling and statistical inference

par Radu Stoica (IECL, Univ. de Lorraine)

mardi 21 mars 2023, 11:15 → 12:15 Europe/Paris

Salle K. Johnson, 1er étage (1R3)

The useful information carried by spatio-temporal data is often outlined by geometric structures and patterns. Filaments or clusters induced by galaxy positions in our Universe are such an example. 

Two situations are to be considered. First, the pattern of interest is hidden in the data set, hence the pattern should be detected. Second, the structure to be studied is observed, so relevant characterization of it should be done. Probabilistic modelling is one of the approaches that allows to furnish answers to these questions. This is done by developing unitary methodologies embracing simultaneously three directions: modelling, simulation and inference. 

This talk presents the use of marked point processes applied to such structures detection and characterization. Practical examples are also shown.