Title: Sparse Interaction Neighborhood Selection for Markov Random Fields via Reversible Jump and Pseudoposteriors
Wednesday, September 18, from 3:30 p.m. to 5:00 p.m. (Rio de Janeiro local time)
Speaker: Nancy Lopes Garcia (IMECC - UNICAMP)
Local: Sala C116 do Instituto de Matemática, Centro de Tecnologia - UFRJ
Abstract:
We consider the problem of estimating the interacting neighborhood of a Markov Random Field model with finite support and homogeneous pairwise interactions based on relative positions of a two-dimensional lattice. Using a Bayesian framework, we propose a Reversible Jump Monte Carlo Markov Chain algorithm that jumps across subsets of a maximal range neighborhood, allowing us to perform model selection based on a marginal pseudoposterior distribution of models. To show the strength of our proposed methodology we perform a simulation study and apply it to a real dataset from a discrete texture image analysis.
Joint work with Victor Freguglia
Forr more informations, visit the website: https://www.dme.ufrj.br/
