Consistency and asymptotic normality of latent block model estimators

DOI10.1214/20-EJS1695zbMath1439.62256arXiv1704.06629OpenAlexW3013162820MaRDI QIDQ2180060

Vincent Brault, Mahendra Mariadassou, Christine Keribin

Publication date: 13 May 2020

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06629

zbMATH Keywords

asymptotic normalityconcentration inequalitymaximum likelihood estimatelatent block model

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Measures of association (correlation, canonical correlation, etc.) (62H20) Statistical aspects of big data and data science (62R07)

Related Items (5)

Powerful multiple testing of paired null hypotheses using a latent graph model ⋮ A survey on model-based co-clustering: high dimension and estimation challenges ⋮ Parameter-wise co-clustering for high-dimensional data ⋮ Consistency and asymptotic normality of stochastic block models estimators from sampled data ⋮ Weighted stochastic block model

Cites Work

• Latent Block Model for Contingency Table
• Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels
• A central limit theorem for random sums of random variables
• Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
• Block clustering with Bernoulli mixture models: comparison of different approaches
• Estimation and prediction for stochastic blockmodels for graphs with latent block structure
• Consistency of maximum-likelihood and variational estimators in the stochastic block model
• Convergence of the groups posterior distribution in latent or stochastic block models
• A nonparametric view of network models and Newman–Girvan and other modularities
• High-Dimensional Statistics
• New Consistent and Asymptotically Normal Parameter Estimates for Random-Graph Mixture Models
• Estimation and selection for the latent block model on categorical data

This page was built for publication: Consistency and asymptotic normality of latent block model estimators