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math.ST2026
Goodness-of-fit testing of the distribution of posterior classification probabilities for validating model-based clustering
Salima El Kolei, Matthieu Marbac
We present the first method for assessing the relevance of a model-based clustering result in a general framework. Standard validation criteria, like the adjusted Rand index, rely…
math.ST2025
Rates of Convergence of Maximum Smoothed Log-Likelihood Estimators for Semi-Parametric Multivariate Mixtures
Marie Du Roy de Chaumaray, Michael Levine, Matthieu Marbac
Theoretical guarantees are established for a standard estimator in a semi-parametric finite mixture model, where each component density is modeled as a product of univariate densit…