[Forum SIS] Seminar Raffaele Argiento (Univ. Cattolica del Sacro Cuore) - Padova | January 20, 2020 | 2:30 p.m.

[Patrizia Piacentini - PhD]

The Department of Statistical Sciences, University of Padova, invites 
you to the Seminar:

TITLE
IS INFINITY THAT FAR?
A Bayesian Nonparametric Perspective of Finite Mixture Models

SPEAKER
RAFFAELE ARGIENTO
Department of Statistics, Università Cattolica del Sacro Cuore

WHEN
January 20, 2020 - 2.30 p.m.

WHERE
Room Benvenuti - Campus S. Caterina
Via C. Battisti, 241
Padova

ABSTRACT
Mixture models are one of the most widely used statistical tools when 
dealing with data from heterogeneous populations.
This talk considers the long-standing debate over finite mixture and 
infinite mixtures and brings the two modelling strategies together, by 
showing that a finite mixture is simply a realization of a point 
process. Following a Bayesian nonparametric perspective, we introduce a 
new class of prior: the Normalized Independent Point Processes. We 
investigate the probabilistic properties of this new class. Moreover, we 
design a conditional algorithm for finite mixture models with a random 
number of components overcoming the challenges associated with the 
Reversible Jump scheme and the recently proposed marginal algorithms. We 
illustrate our model on real data and discuss a relevant application in 
population genetics.

*Apologies for cross posting*

-- 
Patrizia Piacentini
Secretariat
PhD Course in Statistics
University of Padova
tel +39 049 8274167
fax +39 049 8271524
dottorato a stat.unipd.it

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