Table 1: Special cases of Principal Component Analysis.

Principal Component Regression
Soft Independent Modelling of Class Analogy
Multi-way Principal Component Analysis

It is a regression version of PCA because it uses the scores of the PCA model to correlate.It is a clustering method that constructs separate PCA models for a prior determined class of data that operates on the residual matirxIt operates with higher dimensional data-array by unfolding it prior to bi-linear PCA