Seminario Dr.ssa Francesca Tria Title:A mathematical framework for systems with innovation: from generative models to inference

data: 
Tuesday, July 20, 2021 - 12:00

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: 

https://meet.google.com/gwb-jnef-jza

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.    

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