14:00 – 15:00 –Radu Stoica (University of Lorainne)
Title: Random structures and patterns in spatial data through marked point processes with interactions
Abstract: The useful information contained in spatio-temporal data is often represented by geometric structures and patterns. The filaments or clusters of galaxies in our Universe are one such example. Two situations need to be considered. First, the pattern of interest is hidden in the data set, so the pattern has to be detected. Second, the structure of interest is observed, so a relevant characterisation of it should be performed. Probabilistic modelling and Bayesian statistical inference are approaches that can provide answers to these questions.
This talk presents the use of marked point processes for the detection and characterisation of such structures. Marked point processes with interactions are used to model the pattern of interest. The proposed models are well defined and locally stable. Tailored to the model, Monte Carlo and also exact algorithms are discussed to simulate the proposed models. Based on these ingredients, global optimisation and posterior sampling algorithms are presented to detect and characterise the pattern of interest, respectively.
Application examples from astronomy and environmental sciences are also shown.
Refreshments available between 15:00 – 15:30, Huxley Common Room (HXLY 549)