Optimal Bayesian estimation of Gaussian mixtures with growing number of components

DOI10.3150/22-BEJ1495MaRDI QIDQ2692528

Ilsang Ohn, Lizhen Lin

Publication date: 22 March 2023

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09284

zbMATH Keywords

Gaussian mixturesDirichlet processesfinite mixture modelsposterior contraction ratesgrowing number of componentsmixing distribution estimation

Mathematics Subject Classification ID

Parametric inference (62Fxx) Nonparametric inference (62Gxx) Probabilistic methods, stochastic differential equations (65Cxx)

Related Items (1)

Adaptive variational Bayes: optimality, computation and applications

Cites Work

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• Asymptotic Behaviour of the Posterior Distribution in Overfitted Mixture Models
• Empirical Bayes posterior concentration in sparse high-dimensional linear models
• Convergence rate for predictive recursion estimation of finite mixtures
• Consistency of a recursive estimate of mixing distributions
• On adaptive posterior concentration rates
• Posterior convergence rates of Dirichlet mixtures at smooth densities
• Natural exponential families with quadratic variance functions
• Bayesian analysis of mixture models with an unknown number of components\,--\,an alternative to reversible jump methods.
• Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities.
• Optimal rate of convergence for finite mixture models
• Needles and straw in a haystack: posterior concentration for possibly sparse sequences
• Adaptive Bayesian density estimation with location-scale mixtures
• Posterior rates of convergence for Dirichlet mixtures of exponential power densities
• Convergence of latent mixing measures in finite and infinite mixture models
• On posterior contraction of parameters and interpretability in Bayesian mixture modeling
• Strong identifiability and optimal minimax rates for finite mixture estimation
• Variable selection consistency of Gaussian process regression
• Bounding mean first passage times in population continuous-time Markov chains
• A fast algorithm with minimax optimal guarantees for topic models with an unknown number of topics
• Bayesian Kantorovich deconvolution in finite mixture models
• Optimal estimation of Gaussian mixtures via denoised method of moments
• A general framework for Bayes structured linear models
• Robust estimation of mixing measures in finite mixture models
• Bounds for Bayesian order identification with application to mixtures
• A Bayesian analysis of some nonparametric problems
• Inconsistency of Pitman-Yor process mixtures for the number of components
• Density Estimation With Confidence Sets Exemplified by Superclusters and Voids in the Galaxies
• Model-Based Clustering, Discriminant Analysis, and Density Estimation
• 10.1162/jmlr.2003.3.4-5.993
• Mixture Models With a Prior on the Number of Components
• Bayesian Density Estimation and Inference Using Mixtures
• Handbook of Mixture Analysis
• A Bayesian Information Criterion for Singular Models
• Rate exact Bayesian adaptation with modified block priors
• On strong identifiability and convergence rates of parameter estimation in finite mixtures

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