# Infinite Mixtures of Infinite Factor Analysers and Related Models

## Documentation for package ‘IMIFA’ version 2.2.0

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

IMIFA-package | IMIFA: Infinite Mixtures of Infinite Factor Analysers and Related Models
bnpControl | Control settings for the Bayesian Nonparametric priors for infinite mixture models (or shrinkage priors for overfitted mixtures)
coffee | Chemical composition of Arabica and Robusta coffee samples
exp_ltrgamma | Left Truncated Gamma Distributions
get_IMIFA_results | Extract results, conduct posterior inference and compute performance metrics for MCMC samples of models from the IMIFA family
gumbel_max | Simulate Cluster Labels from Unnormalised Log-Probabilities using the Gumbel-Max Trick
G_calibrate | 1st & 2nd Moments of the Pitman-Yor / Dirichlet Processes
G_expected | 1st & 2nd Moments of the Pitman-Yor / Dirichlet Processes
G_moments | 1st & 2nd Moments of the Pitman-Yor / Dirichlet Processes
G_priorDensity | Plot Pitman-Yor / Dirichlet Process Priors
G_variance | 1st & 2nd Moments of the Pitman-Yor / Dirichlet Processes
heat_legend | Add a colour key legend to heatmap plots
IMIFA | IMIFA: Infinite Mixtures of Infinite Factor Analysers and Related Models
IMIFA_news | Show the NEWS file
is.cols | Check for Valid Colours
is.posi_def | Check Positive-(Semi)definiteness of a matrix
Ledermann | Ledermann Bound
ltrgamma | Left Truncated Gamma Distributions
mat2cols | Convert a numeric matrix to colours
mcmc_IMIFA | Adaptive Gibbs Sampler for Nonparametric Model-based Clustering using models from the IMIFA family
mgpControl | Control settings for the MGP prior and AGS for infinite factor models
MGP_check | Check the validity of Multiplicative Gamma Process (MGP) hyperparameters
mixfaControl | Control settings for the IMIFA family of factor analytic mixtures
olive | Fatty acid composition of Italian olive oils
pareto_scale | Pareto Scaling
PGMM_dfree | Estimate the Number of Free Parameters in Finite Factor Analytic Mixture Models (PGMM)
plot.Results_IMIFA | Plotting output and parameters of inferential interest for IMIFA and related models
plot_cols | Plots a matrix of colours
post_conf_mat | Posterior Confusion Matrix
print.IMIFA | Adaptive Gibbs Sampler for Nonparametric Model-based Clustering using models from the IMIFA family
print.Results_IMIFA | Extract results, conduct posterior inference and compute performance metrics for MCMC samples of models from the IMIFA family
Procrustes | Procrustes Transformation
psi_hyper | Find sensible inverse gamma hyperparameters for variance/uniqueness parameters
rDirichlet | Simulate Mixing Proportions from a Dirichlet Distribution
rltrgamma | Left Truncated Gamma Distributions
scores_MAP | Decompose factor scores by cluster
shift_GA | Moment Matching Parameters of Shifted Gamma Distributions
show_digit | Show image of grayscale grid
show_IMIFA_digit | Plot the posterior mean image
sim_IMIFA | Simulate Data from a Mixture of Factor Analysers Structure
sim_IMIFA_data | Simulate Data from a Mixture of Factor Analysers Structure
sim_IMIFA_model | Simulate Data from a Mixture of Factor Analysers Structure
storeControl | Set storage values for use with the IMIFA family of models
summary.IMIFA | Adaptive Gibbs Sampler for Nonparametric Model-based Clustering using models from the IMIFA family
summary.Results_IMIFA | Extract results, conduct posterior inference and compute performance metrics for MCMC samples of models from the IMIFA family
USPSdigits | USPS handwritten digits
Zsimilarity | Summarise MCMC samples of clustering labels with a similarity matrix and find the 'average' clustering