The estimation of normal mixtures with latent variables

Mixtures of Latent Variable Models for Density Estimation and Classification

Asymptotic accuracy of distribution-based estimation of latent variables

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable labels. An asymptotic analysis of the models plays an important role in evaluating the learning process; the result of the analysis is applied not only to theore...

Asymptotic Accuracy of Distribution-Based Estimation for Latent Variables

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable labels. An asymptotic analysis of the models plays an important role in evaluating the learning process; the result of the analysis is applied not only to theore...

High - Dimensional Regression with Gaussian Mixtures and Partially - Latent Response Variables ( Supplementary Materials )

It follows that the E-step splits into an E-W step and an E-Z step. The subsequent M-step can also be divided into two steps referred to as the M-GMM step and the M-mapping step. In what follows details are given for the E-W step and the M-mapping step as the E-Z and M-GMM steps are straightforward as explained in the main paper (equations (27) to (30. For the sake of readability, the current i...

Discrete mixtures in Bayesian networks with hidden variables: a latent time budget example

The existing methods of analysis applicable to time budget data are summarised. Latent budget models, a subclass of general reduced rank models for two-way contingency tables, are most appropriate as they view each of the observed conditional distributions of interest as a mixture of a small number of conditional distributions involving a hidden variable. However, they su5er from unusually comp...