[seminarioDeProbabilidad] (sin asunto)

[Maria Clara Fittipaldi]

Miércoles 28 de Agosto a las 13h15,
Salón 201
IIMAS

Avner Bar-Hen <http://scholar.google.com/citations?user=JZ3uW60AAAAJ&hl=en>
CNAM

Nos hablará sobre "Stochastic block-models for multiplex networks : An
application to a multilevel network of researchers ".
Abstract: Modelling relationships between individuals is a classical
question in social sciences and clustering individuals according to the
observed patterns of interactions allows to uncover a latent structure in
the data. The stochastic block model is a popular approach for grouping
individuals with respect to their social comportment. When several
relationships of various types can occur jointly between individuals, the
data are represented by multiplex networks where more than one edge can
exist between the nodes. We extend stochastic block models to multiplex
networks to obtain a clustering based on more than one kind of relation-
ship. We propose to estimate the parameters—such as the marginal
probabilities of assignment to groups (blocks) and the matrix of
probabilities of connections between groups—through a variational
expectation–maximization procedure. Consistency of the estimates is
studied. The number of groups is chosen by using the integrated completed
likelihood criterion, which is a penalized likelihood criterion. Multiplex
stochastic block models arise in many situations but our applied example is
motivated by a network of French cancer researchers. This is a joint work
with Pierre Barbillon (AgroParisTech) and Sophe Donnet (Inra).

Organizan
Manuel Domínguez de la Iglesia
María Clara Fittipaldi
Arno Siri-Jégousse

Página web:
http://www.matem.unam.mx/~seminarioproba/

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