Align/rotate one embedding onto another
align_embedding(x, y, ...) rotate_embedding(x, y, ...)
| x | a numeric matrix of unaligned embedding coordinates |
|---|---|
| y | a numeric matrix to align `x`` to |
| ... | other arguments to pass BiocSingular::runSVD |
A matrix of dimension equal to x
This is a (naive implementation) of Procuste's analysis,
the goal is to find a rotation matrix that most closely aligns the
matrix x to the matrix y by centering and rescaling. One method of solving this problem
is to perform singular value decomposition on
crossprod(y - colMeans(y), x - colMeans(x)).