You are warmly invited to attend a talk by Francesca Panero. Details below.
Title: Sparse spatial random graphs
Where: USI Lugano East Campus, room D5.01, and online
When: 9 June, 12:30pm
Abstract:
We present a statistical model to describe spatial random graphs
through the graphex process, a construction which exploits the
Bayesian nonparametric framework in order to achieve flexibility and
interpretability when conducting inference. We provide a number of
asymptotic results, namely that the model is able to describe both
sparse and dense networks, is equipped with positive global and local
clustering coefficients and can achieve both single or double power
law degree distributions whose exponents are easily tuned. We present
a way to perform posterior inference through MCMC algorithms. Finally,
we place our proposal into the more general literature of spatial
random graphs, discussing the relations with hyperbolic random graphs,
scale-free percolation and sparse latent space models.
The speaker:
Francesca Panero is a visiting researcher at IDSIA and a DPhil
candidate in Statistics at the University of Oxford. She is working
with Prof. François Caron and Prof. Judith Rousseau on random graphs,
exploring both asymptotic properties of models based on graphex
processes and new modelling approaches to describe spatial networks.
Prior to this, she obtained a BSc and a MSc in Mathematics at the
University of Turin and Collegio Carlo Alberto.
--
Marco Scutari
Senior Researcher in Bayesian Networks and Graphical Models
Istituto Dalle Molle di Studi sull'Intelligenza Artificiale (IDSIA)
http://www.bnlearn.com/about