Factor analysis (source code)

= Factor analysis
{wiki}

Factor analysis writes an observation as $Y=\Lambda Z+\xi$, where the low-dimensional <latent variable> $Z$ describes shared variation. In the isotropic Gaussian model $Z\sim N(0,I)$ and $\xi\sim N(0,\sigma^2I)$ independently, the observation has covariance $\Lambda\Lambda^T+\sigma^2I$.