Orthogonal Procrustes alignment and cosine similarity scoring

Aligns embd1 onto embd2 via orthogonal Procrustes (SVD) and returns cosine similarities per node. Both matrices must have identical dimensions and matching row order, i.e. row i in embd1 corresponds to row i in embd2.

Usage

rs_procrustes_align(embd1, embd2)

Arguments

embd1

Numeric matrix. k x d embedding matrix for graph 1.

embd2

Numeric matrix. k x d embedding matrix for graph 2.

Value

Named list with aligned (k x d matrix, embd1 rotated onto embd2) and cosine_similarities (numeric vector of length k).