A bootstrap‐augmented alternating expectation‐conditional maximization algorithm for mixtures of factor analyzers. Issue 1 (21st August 2019)

• Record Type: Journal Article
• Authors: Shreeves, Phillip; Andrews, Jeffrey L.
• Is Part Of: Stat. Volume 8:Issue 1 (2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-08-21
• Subjects: bootstrap -- cluster analysis -- EM algorithm -- factor analysis -- mixture models; Statistics -- Periodicals; 519.2
• DOI: 10.1002/sta4.243
• Languages: English
• ISSNs: 2049-1573

Abstract

Abstract : Finite mixture models are a popular approach for unsupervised machine learning tasks. Mixtures of factor analyzers assume a latent variable structure, thereby modelling the data in a lower dimensional space. Herein, we augment the traditional alternating expectation‐conditional maximization algorithm by incorporating the nonparametric bootstrap during the parameter estimation process. This augmentation is shown to improve discovery of both the true number of groups and the true latent dimensionality through simulations, while also showing superior clustering performance on benchmark data sets.