Default inverse_projection method for cross_projector

This function obtains the matrix that maps factor scores in the latent space back into the original domain (X or Y). By default, we assume v_domain is not necessarily orthonormal or invertible, so we use a pseudoinverse approach (e.g. MASS::ginv).

Usage

# S3 method for class 'cross_projector'
inverse_projection(x, domain = c("X", "Y"), ...)

Arguments

x

A cross_projector object.

domain

Either "X" or "Y", indicating which block's inverse loading matrix we want (i.e., if you want to reconstruct data in the X space or Y space).

...

Additional arguments (currently unused, but may be used by subclasses).

Value

A matrix that, when multiplied by the factor scores, yields the reconstruction in the specified domain's original space.

Examples

# Suppose 'cp' is a cross_projector object. If we want the
# inverse for the Y domain:
#   inv_mat <- inverse_projection(cp, domain="Y")
# Then reconstruct:  Yhat <- Fscores %*% inv_mat