Seminario Dr.ssa Francesca Tria Title:A mathematical framework for systems with innovation: from generative models to inference
martedì 20/07/2021 alle ore 12.00
si terrà il seminario della Dr.ssa Francesca Tria , vincitrice della procedura selettiva per RTDB FIS/03 02B2, cui si potrà assistere collegandosi al link di meet:
Title:A mathematical framework for systems with innovation: from generative models to inference
Abstract: I will start with a brief presentation of my overall research, giving some insights into two biologically
motivated problems I worked on, namely phylogeny reconstruction and the evolutionary dynamics of the Influenza A virus.
I will then devote most of the seminar to the dynamics of innovation processes, the main focus of my current research activity.
I will present a Polya's urn-based modeling scheme that proved to be extremely powerful in predicting shared statistical behaviors of systems featuring innovation.
I will then highlight the connection between the generative model we proposed and well-known stochastic processes at the basis of Bayesian non-parametric inference,
namely the Dirichlet and the Pitman-Yor processes. I will finally discuss how our perspective can enrich Bayesian non-parametric inference methods.