activity
20152026
most citedStrong consistency of Krichevsky-Trofimov estimator for the number of communities in the Stochastic Block Model

2 citations · 2 across the 7 of their papers we have counts for

collaborators
Showing math.STShow all

6 papers · 1 filter

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.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…

math.ST2023

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.ST2023

Consistent model selection for the Degree Corrected Stochastic Blockmodel

Andressa Cerqueira, Sandro Gallo, Florencia Leonardi +1

The Degree Corrected Stochastic Block Model (DCSBM) was introduced by \cite{karrer2011stochastic} as a generalization of the stochastic block model in which vertices of the same co…

math.ST2019

Graphical Construction of Spatial Gibbs Random Graphs

Andressa Cerqueira, Nancy L. Garcia

We consider a Random Graph Model on that incorporates the interplay between the statistics of the graph and the underlying space where the vertices are located. Ba…

math.ST2018★ 2 cited

Strong consistency of Krichevsky-Trofimov estimator for the number of communities in the Stochastic Block Model

Andressa Cerqueira, Florencia Leonardi

In this paper we introduce an estimator for the number of communities in the Stochastic Block Model (SBM), based on the maximization of a penalized version of the so-called Krichev…