[ABE-L] Convite: Seminário DEST/UFMG em 02/09/2022.

[Vinicius Mayrink]

Caros,

Na próxima sexta-feira (*02 de setembro*, às *13:30h*) o ciclo de
Seminários do *Departamento de Estatística da UFMG* terá a apresentação de
*Simon **Lunagomez*.

Simon é professor do Departamento de Estatística do *Instituto Tecnológico
Autónomo de México* (ITAM). Ele obteve o grau de Doutor em Estatística pela
Duke University (EUA). Suas áreas de interesse são: Inferência Bayesiana,
Graphical Models, Aplicações com dados de redes sociais, Aplicações
estatísticas em geometria computacional, Geometria hiperbólica e Topologia
computacional.

O seminário será transmitido ao vivo pelo canal do Youtube "*Seminários
DEST - UFMG* <https://www.youtube.com/channel/UCoZC2_pME9ca_-Hx4djd60w>".

At.te,
Vinícius Mayrink


*********** Título e Resumo ***********
Simon Lunagomez (ITAM, México)

*Latent space modelling of hypergraph data.*

The increasing prevalence of relational data describing interactions among
a target population has motivated a wide literature on statistical network
analysis. In many applications, interactions may involve more than two
members of the population and this data is more appropriately represented
by a hypergraph. In this paper, we present a model for hypergraph data
which extends the well-established latent space approach for graphs and, by
drawing a connection to constructs from computational topology, we develop
a model whose likelihood is inexpensive to compute. A delayed-acceptance
MCMC scheme is proposed to obtain posterior samples and we rely on
Bookstein coordinates to remove the identifiability issues associated with
the latent representation. We theoretically examine the degree distribution
of hypergraphs generated under our framework and, through simulation, we
investigate the flexibility of our model and consider estimation of
predictive distributions. Finally, we explore the application of our model
to two real-world datasets. This is joint work with Kathryn Turnbull,
Christopher Nemeth and Edoardo Airoldi.

-- 
*Vinícius D. Mayrink*
*Professor Associado - Departamento de Estatística*

*ICEx, Universidade Federal de Minas Gerais*
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