Exploratory Factor Analysis of Data on a Sphere

by   Fan Dai, et al.

Data on high-dimensional spheres arise frequently in many disciplines either naturally or as a consequence of preliminary processing and can have intricate dependence structure that needs to be understood. We develop exploratory factor analysis of the projected normal distribution to explain the variability in such data using a few easily interpreted latent factors. Our methodology provides maximum likelihood estimates through a novel fast alternating expectation profile conditional maximization algorithm. Results on simulation experiments on a wide range of settings are uniformly excellent. Our methodology provides interpretable and insightful results when applied to tweets with the #MeToo hashtag in early December 2018, to time-course functional Magnetic Resonance Images of the average pre-teen brain at rest, to characterize handwritten digits, and to gene expression data from cancerous cells in the Cancer Genome Atlas.



page 3

page 11

page 13


A Matrix–free Likelihood Method for Exploratory Factor Analysis of High-dimensional Gaussian Data

This paper proposes a novel profile likelihood method for estimating the...

Stochastic Approximation EM for Exploratory Item Factor Analysis

The stochastic approximation EM algorithm (SAEM) is described for the es...

Classification with the matrix-variate-t distribution

Matrix-variate distributions can intuitively model the dependence struct...

High-dimensional Bayesian Fourier Analysis For Detecting Circadian Gene Expressions

In genomic applications, there is often interest in identifying genes wh...

A Note on the Likelihood Ratio Test in High-Dimensional Exploratory Factor Analysis

The likelihood ratio test is widely used in exploratory factor analysis ...

Logistic Normal Multinomial Factor Analyzers for Clustering Microbiome Data

The human microbiome plays an important role in human health and disease...

An Enhanced MA Plot with R-Shiny to Ease Exploratory Analysis of Transcriptomic Data

MA plots are used to analyze the genome-wide differences in gene express...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.