3 papers
math.ST2026
Normalized Likelihood Criteria for Model Selection in the Stochastic Block Model
Andressa Cerqueira, Felipe Baptistão
Estimating the number of communities is a fundamental problem in network analysis under the stochastic block model (SBM). In this paper, we study penalized estimators for this task…
math.ST2026
Optimal recovery by maximum and integrated conditional likelihood in the general Stochastic Block Model
Andressa Cerqueira, Florencia Leonardi
In this paper, we obtain new results on the weak and strong consistency of the maximum and integrated conditional likelihood estimators for the community detection problem in the S…
math.ST2025
Counting communities in weighted Stochastic Block Models via semidefinite programming
Deborah Oliveira, Andressa Cerqueira, Roberto Oliveira
We consider the problem of estimating the number of communities in a weighted balanced Stochastic Block Model. We construct hypothesis tests based on semidefinite programming and w…