The topography of multivariate normal mixtures

DOI10.1214/009053605000000417zbMath1086.62066arXivmath/0602238OpenAlexW1965342088WikidataQ55966634 ScholiaQ55966634MaRDI QIDQ2368846

Bruce G. Lindsay, Surajit Ray

Publication date: 28 April 2006

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602238

zbMATH Keywords

manifolds clustering dimension reduction modal cluster multivariate mode

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Characterization and structure theory of statistical distributions (62E10)

Related Items (38)

Fast Bayesian inversion for high dimensional inverse problems ⋮ Data-driven robust chance constrained problems: a mixture model approach ⋮ Clusterability assessment for Gaussian mixture models ⋮ A New Regression Model: Modal Linear Regression ⋮ Computational aspects of fitting mixture models via the expectation-maximization algorithm ⋮ Investigating the multimodality of multivariate data with principal curves ⋮ On the distribution of posterior probabilities in finite mixture models with application in clustering ⋮ Asymptotic theory for density ridges ⋮ The Modal Age of Statistics ⋮ Modal non‐linear regression in the presence of Laplace measurement error ⋮ A Review on Modal Clustering ⋮ The modality of skew \(t\)-distribution ⋮ On the upper bound of the number of modes of a multivariate normal mixture ⋮ Estimation of conditional power in the presence of auxiliary data ⋮ Finding cluster centers and sizes via multinomial parameterization ⋮ On the choice of high-dimensional regression parameters in Gaussian random tomography ⋮ Online Learning of Single- and Multivalued Functions with an Infinite Mixture of Linear Experts ⋮ Identifying the number of components in Gaussian mixture models using numerical algebraic geometry ⋮ On the relation between the linear factor model and the latent profile model ⋮ Merging the components of a finite mixture using posterior probabilities ⋮ Methods for merging Gaussian mixture components ⋮ Dimensionality reduction for data of unknown cluster structure ⋮ Mixture model modal clustering ⋮ A sufficient condition for the convergence of the mean shift algorithm with Gaussian kernel ⋮ Finite mixtures of unimodal beta and gamma densities and the \(k\)-bumps algorithm ⋮ Finite mixture models and model-based clustering ⋮ Likelihood Ratio Testing for Hidden Markov Models Under Non‐standard Conditions ⋮ A population background for nonparametric density-based clustering ⋮ Hidden Markov models with state-dependent mixtures: minimal representation, model testing and applications to clustering ⋮ A likelihood ratio test for bimodality in two-component mixtures with application to regional income distribution in the EU ⋮ Analytical expression for the integrated squared density partial derivative of a multivariate normal mixture distribution ⋮ A confusion index for measuring separation and clustering ⋮ Kernels, Degrees of Freedom, and Power Properties of Quadratic Distance Goodness-of-Fit Tests ⋮ Inference for multivariate normal mixtures ⋮ Unimodal category and the monotonicity conjecture ⋮ When Does a Mixture of Products Contain a Product of Mixtures? ⋮ Incorporating multi-dimensional tail dependencies in the valuation of credit derivatives ⋮ Nonparametric statistical learning based on modal regression

Cites Work

This page was built for publication: The topography of multivariate normal mixtures